Acessibilidade / Reportar erro

Variation in isometric force after active shortening and lengthening and their mechanisms: a review

Variação da força isométrica após encurtamento e alongamento ativo e seus mecanismos: uma revisão

Abstracts

Introduction

The isometric force history dependence of skeletal muscle has been studied along the last one hundred years. Several theories have been formulated to explain and establish the causes of the phenomenon, but not successfully, as they have not been fully accepted and demonstrated, and much controversy on such a subject still remains.

Objective

To present a systematic literature review on the dynamics of the mechanisms of force depression and force enhancement after active shortening and lengthening, respectively, identifying the key variables involved in the phenomenon, and to date to present the main theories and hypothesis developed trying to explaining it.

Method

The procedure of literature searching complied the major databases, including articles either, those which directly investigated the phenomena of force depression and force enhancement or those which presented possible causes and mechanisms associated with their respective events, from the earliest studies published until the year of 2010.

Results

97 references were found according to the criteria used.

Conclusion

Based on this review, it is suggested that the theory of stress inhibition of actin-myosin cross-bridges is that better explain the phenomenon of force depression. Whereas regarding the force enhancement phenomenon, one theory have been well accepted, the increased number of actin-myosin cross-bridges in strong binding state influenced by the recruitment of passive elastic components, which hole is attributed to the titin filament.

Force; Shortening; Lengthening; Active


Introdução

A dependência entre a produção de força isométrica do músculo esquelético e o histórico da contração precedente vem sendo objeto de estudo nos últimos cem anos. Diversas teorias têm sido formuladas para explicar e estabelecer as causas do fenômeno, obtendo pouco sucesso, uma vez que não foram completamente aceitas e comprovadas, suscitando ainda muita controvérsia sobre o tema.

Objetivos

Apresentar uma revisão sistemática da literatura sobre a dinâmica dos mecanismos de depressão (DF) e de aumento (AF) da força isométrica após encurtamento e alongamento ativos, respectivamente, identificando as principais variáveis intervenientes nos fenômenos, e as principais teorias e hipóteses elaboradas para explicá-los até a presente data.

Métodos

O procedimento de busca da literatura foi composto por uma pesquisa nas principais bases de dados, incluindo artigos que observaram diretamente os fenômenos DF e AF, ou possíveis mecanismos e causas associadas a suas respectivas manifestações, desde os primeiros estudos sobre o tema até o ano de 2010.

Resultados

Foram encontradas 97 referências que atenderam aos critérios adotados.

Conclusão

Com base na revisão produzida, sugere-se a teoria da inibição por estresse induzido das pontes cruzadas de actina-miosina para explicar o fenômeno DF. Quanto ao fenômeno AF uma teoria tem sido bem aceita, a do aumento do número de pontes cruzadas de actina-miosina em estado forte de ligação influenciado pelo recrutamento dos componentes elásticos passivos, atribuindo-se aos filamentos de titina este papel.

Força; Encurtamento; Alongamento; Ativo


Introduction

The dependence between the production of isometric force in skeletal muscle and its contraction history has been reported nearly a century ago (1Levin A, Wyman J. The viscous elastic properties of muscles. Proc R Soc Lond B. 1927;101(709):218-43., 2Abbot BC, Aubert XM. The force exerted by active striated muscle during and after change in length. J Physiol. 1952;117(1):77-6.). However, its causes are not well established, and the proposed theories not fully accepted, as well as controversial. It is relevant that such dependence is not taken into account by the models of Hill and Huxley, the two biomechanical models that try to explain the dynamics of mechanics and physiology of muscle contraction (3Hill AV. The heat of shortening and the dynamic constants of muscles. Proc R Soc Lond B. 1938; 126 (843):136-95., 4Huxley AF. Muscular contraction. J Physiol. 1974; 243 (1):1-43.). Moreover, despite the scientific advances in the field of muscle mechanics, a great difficulty is remains while accepting new discoveries and theories of force depression (FD) and force increased (FE) (5Brown IE, Loeb GE. Measured and modeled properties of mammalian skeletal muscle III: effects of the stimulus frequency on stretch-induced force enhancement and shortening-induced force depression. J Muscle Res Cell Motil. 2000;21(1):21-31., 6Herzog W. The Nature of force depression and force enhancement in skeletal muscle contraction. Eur J Sport Sci. 2001;1(3):1-14., 7Herzog W. History dependence of skeletal muscle force production: implications for movement control. Hum Movement Sci. 2004;23(5):591-604.).

Studies have shown that the isometric force of a sarcomere, a fiber or even a muscle, may change up to 50% when compared to a known isometric force of reference, being reduced after active shortening and increased after stretching, phenomena know as FD and FE respectively (7Herzog W. History dependence of skeletal muscle force production: implications for movement control. Hum Movement Sci. 2004;23(5):591-604.) .

A concept well accepted is that force capacity of a muscle force has an inverse non-linear relationship with the speed of shortening (2Abbot BC, Aubert XM. The force exerted by active striated muscle during and after change in length. J Physiol. 1952;117(1):77-6., 3Hill AV. The heat of shortening and the dynamic constants of muscles. Proc R Soc Lond B. 1938; 126 (843):136-95., 8Fenn WO, Marsh BS. Muscular force at different speeds of shortening. J Physiol. 1935;85(3):277-97., 9Katz B. The relation between force and speed in muscular contraction. J Physiol. 1939;96(1):45-4., 1010 Wilkie DR. The relation between force and velocity in human muscles. J Physiol. 1949;110(3-4):249-80., 1111 Abbot BC, Wilkie DR. The relation between velocity of shortening and the tension-length curve of skeletal muscle. J Physiol. 1953;120(1-2):214-23., 1212 Thorstensson A, Grimby G, Karlsson J. Force-velocity relations and fiber type composition in human knee extensor muscles. J Appl Physiol. 1976;40(1):12-6., 1313 Sonnenblick EH. Force-velocity relations in mammalian heart muscle. Am J Physiol. 1962;202(5):931-9.). In an antagonist way, the capacity of power generation increases due to the speed of stretching to a limited extent, mainly when the muscle is stimulated beyond its optimal length (2Abbot BC, Aubert XM. The force exerted by active striated muscle during and after change in length. J Physiol. 1952;117(1):77-6., 3Hill AV. The heat of shortening and the dynamic constants of muscles. Proc R Soc Lond B. 1938; 126 (843):136-95., 9Katz B. The relation between force and speed in muscular contraction. J Physiol. 1939;96(1):45-4., 1010 Wilkie DR. The relation between force and velocity in human muscles. J Physiol. 1949;110(3-4):249-80., 1313 Sonnenblick EH. Force-velocity relations in mammalian heart muscle. Am J Physiol. 1962;202(5):931-9.). These characteristics of plasticity and strength of a muscle when taken as a principle after systematic experimental observations has helped to develop the concepts associated with FD and FE (1Levin A, Wyman J. The viscous elastic properties of muscles. Proc R Soc Lond B. 1927;101(709):218-43., 2Abbot BC, Aubert XM. The force exerted by active striated muscle during and after change in length. J Physiol. 1952;117(1):77-6., 1111 Abbot BC, Wilkie DR. The relation between velocity of shortening and the tension-length curve of skeletal muscle. J Physiol. 1953;120(1-2):214-23.).

Until recently, little was known about the occurrence of FE and FD in large muscle groups during movements with production of submaximal and voluntary force (5Brown IE, Loeb GE. Measured and modeled properties of mammalian skeletal muscle III: effects of the stimulus frequency on stretch-induced force enhancement and shortening-induced force depression. J Muscle Res Cell Motil. 2000;21(1):21-31.). That is because most of studies on this topic used sarcomeres, muscle fibers of animal specimens, or small muscle groups such as the adductors of the thumb, in conditions of electrical stimulation combined with maximum voluntary dynamic contractions (5Brown IE, Loeb GE. Measured and modeled properties of mammalian skeletal muscle III: effects of the stimulus frequency on stretch-induced force enhancement and shortening-induced force depression. J Muscle Res Cell Motil. 2000;21(1):21-31.). Furthermore, devices have relied on complex servo motors coupled to force transducers that bear little resemblance to human movement pattern (2Abbot BC, Aubert XM. The force exerted by active striated muscle during and after change in length. J Physiol. 1952;117(1):77-6., 1111 Abbot BC, Wilkie DR. The relation between velocity of shortening and the tension-length curve of skeletal muscle. J Physiol. 1953;120(1-2):214-23., 1414 Edman KPA, Caputo C, Lou F. Depression of tetanic force induced by loaded shortening of frog muscle fibres. J Physiol. 1993;466(1):535-52., 1515 De Ruiter CJ, De Haan A, Jones DA, Sargeant AJ. Shortening induced force depression in human adductor pollicis muscle. J Physiol. 1998;507(2):583-91., 1616 De Ruiter CJ, De Haan A. Shortening induced depression of voluntary force in unfatigued and fatigued human adductor pollicis muscle. J Appl Physiol. 2003;94(1):69-74., 1717 Edman KPA, Elzinga G, Noble MIM. Enhancement of mechanical performance by stretch during tetanic contractions of vertebrate skeletal muscle fibres. J Physiol. 1978;281(1):139-55., 1818 Edman KPA, Elzinga G, Noble MIM. Residual force enhancement after stretch of contracting frog single muscle fibers. J Gen Physiol. 1982;80(5):769-84., 1919 Joyce GC, Rack PMH, Westbury DR. The mechanical properties of cat soleus muscle during controlled lengthening and shortening movements. J Physiol. 1969;204(2):461-74., 2020 McDaniel J, Elmer SJ, Martin JC. The effect of shortening history on isometric and dynamic muscle function. J Biomech. 2010;43(4):606-11., 2121 Lee HD, Herzog W. Force depression following muscle shortening of voluntarily activated and electrically stimulated human adductor pollicis. J Physiol. 2003;551(3):993-1003., 2222 Lee HD, Herzog W. Force enhancement following muscle stretch of electrically stimulated and voluntary activated human adductor pollicis. J Physiol. 2002;545(1):321-30., 2323 Oskouei AE, Herzog W. Observations on force enhancement in submaximal voluntary contractions of human adductor pollicis muscle. J Appl Physiol. 2005;98(6):2087-95., 2424 Rousanoglou EN, Oskouei AE, Herzog W. Force depression following muscle shortening in sub-maximal voluntary contractions of human adductor pollicis. J Biomech. 2007;40(1):1-8., 2525 Joumaa V, Leonard TR, Herzog W. Residual force enhancement in myofibrils and sarcomeres. Proc R Soc Lond B. 2008;275(1641):1411-9., 2626 Joumaa V, Herzog W. Force depression in single myofibrils. J Appl Physiol. 2010;108(2):356-62.).

Moreover, Herzog (7Herzog W. History dependence of skeletal muscle force production: implications for movement control. Hum Movement Sci. 2004;23(5):591-604.) proposed that FD and FE might have implications in the tasks of daily life. This phenomenon, once elucidated, could also bring important information when regarded to rehabilitation processes, in which small increases in strength capability are crucial to patient outcomes.

Another important aspect is that recent studies have observed the manifestation of FD and FE in higher muscle groups and motor gestures more similar to human routine, both in maximal voluntary and submaximal force exertions (2727 Lee HD, Suter E, Herzog W. Force depression in human quadriceps femoris following voluntary shortening contractions. J Appl Physiol. 1999;87(5):1651-5., 2828 Hahn D, Seiberl W, Schwirtz A. Force enhancement during and following muscle stretch of maximal voluntarily activated human quadriceps femoris. Eur J Appl Physiol. 2007;100(6):701-9., 2929 Pinniger GJ, Cresswell AG. Residual force enhancement after lengthening is present during submaximal plantar flexion and dorsiflexion actions in humans. J Appl Physiol. 2007;102(1):18-25., 3030 Hahn D, Seiberl W, Schmidt S, Schweizer K, Schiwirtz A. Evidence of residual force enhancement for multi-joint leg extension. J Biomech. 2010;43(8):1503-8., 3131 McGowan CP, Neptune RR, Herzog W. A phenomenological model and validation of shortening-induced force depression during muscle contractions. J Biomech. 2010;43(3):449-54.). It is noteworthy that although there are many studies proving the existence of FD and FE as well as some hypotheses to explain such behaviors has been raised, no theory is fully accepted to explain such behaviors.

In fact, there are many variables involved in the change of intensity force produced or even on whether or not this change occurs (6Herzog W. The Nature of force depression and force enhancement in skeletal muscle contraction. Eur J Sport Sci. 2001;1(3):1-14., 7Herzog W. History dependence of skeletal muscle force production: implications for movement control. Hum Movement Sci. 2004;23(5):591-604., 3232 Rassier DE, Herzog W. Considerations on the history dependence of muscle contraction. J Appl Physiol. 2004;96(2):419-27.). Such variables include the amount of stimulation, speed and length vs muscle tension curve (LTC) region. Furthermore, there are gaps in these phenomena with regard to its applicability to daily life, despite being touted as important in motor control with implications in rehabilitation (5Brown IE, Loeb GE. Measured and modeled properties of mammalian skeletal muscle III: effects of the stimulus frequency on stretch-induced force enhancement and shortening-induced force depression. J Muscle Res Cell Motil. 2000;21(1):21-31., 7Herzog W. History dependence of skeletal muscle force production: implications for movement control. Hum Movement Sci. 2004;23(5):591-604.).

This paper aims to present a systematic review on the concepts related to depression and enhancement of isometric strength after active stretching and shortening respectively. It also intends to describe the main variables that affect the phenomena. Additionally, the main mechanisms, theories and hypotheses to explain them are presented.

Employed procedures and methods of search

This article consists of a systematic literature review on the topics known as FD and FE. The procedure consisted in literature search in major databases (PubMed, Medline, SciELO, SPORTDiscus, LILACS and Academic Google), including the first records on the subject until the year 2010.

The following keywords were used for the searches: isometric force, speed of shortening, speed of stretching, force depression, force enhancement, residual force enhancement, passive elastic component, history dependence of muscle contraction, sarcomere length, shortening, lengthening, stretch- shortening cycle, stretch - shortening cycle, calcium dependent mechanism of muscle contraction, titin filament and thin. The words were used alone or combined.

To be included in the review, articles should address the observation of the phenomena of FD or FE, alone or combined, as well as present description of possible causes or physiological and biomechanical mechanisms involved in its manifestation. Were also included articles that presented theories on the mechanics of muscle contraction and that are relevant to the topic. In this search, 97 references met the inclusion criteria.

The concept of Force Depression

The term FD can be defined as the reduction of isometric force after active muscle shortening when compared to a reference isometric contraction obtained in the same muscle length. In the first case, the phenomenon would be associated with reduced state of passive tension of muscle fibers, individually, during the shortening phase (6Herzog W. The Nature of force depression and force enhancement in skeletal muscle contraction. Eur J Sport Sci. 2001;1(3):1-14., 7Herzog W. History dependence of skeletal muscle force production: implications for movement control. Hum Movement Sci. 2004;23(5):591-604., 3333 Herzog W, Leonard TR. The history dependence of force production in mammalian skeletal muscle following stretch-shortening and shortening-stretch cycles. J Biomech. 2000;33(5):531-42., 3434 Sugi H, Tsuchiya T. Stiffness changes during enhancement and deficit of isometric force by slow length changes in frog skeletal muscle fibres. J Physiol. 1988;407(1):215-29.).

It is proposed that the phenomenon of FD would associated to the descending limb and to the peak of the SLT (3535 Morgan, DL. New insights into the behavior of muscle during active lengthening. Biophys J. 1990; 57(2):209-21., 3636 Morgan DL, Whitehead NP, Wise AK, Gregory JE, Proske U. Tension changes in the cat soleus muscle following slow stretch or shortening of the contracting muscle. J Physiol. 2000;522(3):503-13., 3737 Schachar R, Herzog W, Leonard TR. Force Enhancement above the initial isometric force on the descending limb of the force-length relationship. J Biomech. 2002;35(10):1299-306.), but recent evidence suggests that this would happen too, even on a smaller scale, the ascending limb of the LTC (2121 Lee HD, Herzog W. Force depression following muscle shortening of voluntarily activated and electrically stimulated human adductor pollicis. J Physiol. 2003;551(3):993-1003., 3232 Rassier DE, Herzog W. Considerations on the history dependence of muscle contraction. J Appl Physiol. 2004;96(2):419-27., 3838 De Ruiter CJ, Didden WJM, Jones DA, De Haan A. The force-velocity relationship of human adductor pollicis muscle during stretch and effects of fatigue. J Physiol. 2000;526(3):671-81., 3939 Herzog W, Leonard TR. Force enhancement following stretching of skeletal muscle: a new mechanism. J Exp Biol. 2002;205(Pt 9):1275-83.).

Literature data point to the idea that the intensity of the decline of isometric force is directly influenced by the extent of muscle shortening, the shortening speed and the amount of force produced during the shortening phase (2Abbot BC, Aubert XM. The force exerted by active striated muscle during and after change in length. J Physiol. 1952;117(1):77-6., 6Herzog W. The Nature of force depression and force enhancement in skeletal muscle contraction. Eur J Sport Sci. 2001;1(3):1-14., 7Herzog W. History dependence of skeletal muscle force production: implications for movement control. Hum Movement Sci. 2004;23(5):591-604., 1414 Edman KPA, Caputo C, Lou F. Depression of tetanic force induced by loaded shortening of frog muscle fibres. J Physiol. 1993;466(1):535-52., 1515 De Ruiter CJ, De Haan A, Jones DA, Sargeant AJ. Shortening induced force depression in human adductor pollicis muscle. J Physiol. 1998;507(2):583-91., 1616 De Ruiter CJ, De Haan A. Shortening induced depression of voluntary force in unfatigued and fatigued human adductor pollicis muscle. J Appl Physiol. 2003;94(1):69-74., 3333 Herzog W, Leonard TR. The history dependence of force production in mammalian skeletal muscle following stretch-shortening and shortening-stretch cycles. J Biomech. 2000;33(5):531-42.). This can be seen in the summary of the studies shown in Table 1, which also shows that the employed force control, in most studies, is made by frequency of the stimulation produced in the sarcomere, or to muscle fiber.

Table 1
Main characteristics of the studies on FD as regard to type of stimulation, material used and the observed effects considering the characteristics of the shortening applied

Relevant fact is that the phenomenon has a greater duration than five seconds (2Abbot BC, Aubert XM. The force exerted by active striated muscle during and after change in length. J Physiol. 1952;117(1):77-6., 6Herzog W. The Nature of force depression and force enhancement in skeletal muscle contraction. Eur J Sport Sci. 2001;1(3):1-14., 3333 Herzog W, Leonard TR. The history dependence of force production in mammalian skeletal muscle following stretch-shortening and shortening-stretch cycles. J Biomech. 2000;33(5):531-42., 4040 Granzier HLM, Pollack GH. Effect of active pre-shortening on isometric and isotonic performance of single frog muscle fibres. J Physiol. 1989;415(1):299-327., 4141 Herzog W, Leonard TR, Wu JZ. Force depression following skeletal muscle shortening is long lasting. J Biomech. 1998;31(12):1163-8.), considered expressive by the investigator of such subject. Moreover, the FD cannot be completely eliminated after a maneuver of muscle relaxation by deactivation nor manipulated by shortening with fast speed, preceded by a shortening with slow and steady speed, which would result in a reduction of the isometric force to zero (6Herzog W. The Nature of force depression and force enhancement in skeletal muscle contraction. Eur J Sport Sci. 2001;1(3):1-14., 7Herzog W. History dependence of skeletal muscle force production: implications for movement control. Hum Movement Sci. 2004;23(5):591-604., 1515 De Ruiter CJ, De Haan A, Jones DA, Sargeant AJ. Shortening induced force depression in human adductor pollicis muscle. J Physiol. 1998;507(2):583-91., 4242 Herzog W, Leonard TR. Reply from Walter Herzog (on behalf of the authors) and Tim Leonard. J Physiol. 2007;578(2):617-20.).

However, it should be noted that, considering the application of stretching vs shortening cycle the phenomenon of FD may be entirely abolished only if the previous amount of stretching is equivalent to the amount of shortening. Otherwise, the isometric force produced after deactivation maneuver will always be less than the isometric reference force (2Abbot BC, Aubert XM. The force exerted by active striated muscle during and after change in length. J Physiol. 1952;117(1):77-6., 6Herzog W. The Nature of force depression and force enhancement in skeletal muscle contraction. Eur J Sport Sci. 2001;1(3):1-14., 7Herzog W. History dependence of skeletal muscle force production: implications for movement control. Hum Movement Sci. 2004;23(5):591-604., 3333 Herzog W, Leonard TR. The history dependence of force production in mammalian skeletal muscle following stretch-shortening and shortening-stretch cycles. J Biomech. 2000;33(5):531-42.).

This reinforces the association between large speed, the amount of shortening and force produced during shortening, and the magnitude of the FD to be partly dependent on the elongation vs shortening cycle to stop the phenomenon (6Herzog W. The Nature of force depression and force enhancement in skeletal muscle contraction. Eur J Sport Sci. 2001;1(3):1-14., 7Herzog W. History dependence of skeletal muscle force production: implications for movement control. Hum Movement Sci. 2004;23(5):591-604., 3232 Rassier DE, Herzog W. Considerations on the history dependence of muscle contraction. J Appl Physiol. 2004;96(2):419-27., 3333 Herzog W, Leonard TR. The history dependence of force production in mammalian skeletal muscle following stretch-shortening and shortening-stretch cycles. J Biomech. 2000;33(5):531-42.).

One aspect that can be argued in studies of DF is about the practical effect of the phenomenon in daily life, given the limitation of studies using large muscle groups at submaximal and voluntary actions. This is evident when looking at the data in Table 1, which presents only three studies used voluntary stimulation. In this sense, one can say that there is a gap between the phenomenon itself and its applicability, which must be filled by new research to be undertaken.

Mechanisms and hypotheses for FD

The main hypotheses to explain the phenomenon of FD are inhibition-induced stress in the cross-bridges, the non-uniformity and instability of the sarcomere, the influx of H+ ions and inorganic phosphate (PO43-), and reducing the affinity between calcium (Ca2+) and the active sites of actin, as detailed below.

Theory of stress-induced inhibition of cross bridges

This theory suggests a mechanical failure induced by stress generated in the active sites of actin - myosin coupling. This would occur in sites located in two helices of the F-actin chain, which suffer an angular distortion that produce rotation as the muscle is shortened at low speed. Thus, the active site of actin binding is displaced from its original position, preventing the head coupling of heavy mero-myosin or MCP chain (6Herzog W. The Nature of force depression and force enhancement in skeletal muscle contraction. Eur J Sport Sci. 2001;1(3):1-14., 7Herzog W. History dependence of skeletal muscle force production: implications for movement control. Hum Movement Sci. 2004;23(5):591-604., 3333 Herzog W, Leonard TR. The history dependence of force production in mammalian skeletal muscle following stretch-shortening and shortening-stretch cycles. J Biomech. 2000;33(5):531-42., 4343 Maréchal G, Plaghki L. The deficit of the isometric tetanic tension redeveloped after a release of frog muscle at a constant velocity. J Gen Physiol. 1979;73 (4):453-67., 4444 Daniel TL, Trimble AC, Chase PB. Compliant realignment of binding sites in muscle: transient behavior and mechanical tuning. Biophys J. 1998;74(4):1611-21.).

The proponents of this hypothesis propose that an increase in the rate of cross-bridge uncoupling and an angular distortion, high enough to modify the organization, the structural arrangement and the ideal overlap between the actin-myosin quantity, alter the optimal sarcomere length. Such a change would be sufficient to induce a deformation in the active sites of actin-myosin. These then would substantially reduce the number of available cross-bridges, as well as the tension generated by each cross bridge (6Herzog W. The Nature of force depression and force enhancement in skeletal muscle contraction. Eur J Sport Sci. 2001;1(3):1-14., 7Herzog W. History dependence of skeletal muscle force production: implications for movement control. Hum Movement Sci. 2004;23(5):591-604., 3232 Rassier DE, Herzog W. Considerations on the history dependence of muscle contraction. J Appl Physiol. 2004;96(2):419-27., 3333 Herzog W, Leonard TR. The history dependence of force production in mammalian skeletal muscle following stretch-shortening and shortening-stretch cycles. J Biomech. 2000;33(5):531-42., 3434 Sugi H, Tsuchiya T. Stiffness changes during enhancement and deficit of isometric force by slow length changes in frog skeletal muscle fibres. J Physiol. 1988;407(1):215-29., 4343 Maréchal G, Plaghki L. The deficit of the isometric tetanic tension redeveloped after a release of frog muscle at a constant velocity. J Gen Physiol. 1979;73 (4):453-67., 4545 Goldman YE, Huxley AF. Actin compliance: are you pulling my chain? Biophys J. 1994;67(6):2131-6., 4646 Kojima H, Ishijima A, Yanagida T. Direct measurement of stiffness of single actin filaments with and without tropomyosin by in vitro nanomanipulation. Proc Natl Acad USA. 1994;91(26):12962-6., 4747 Higuchi H, Yanagida T, Goldman YE. Compliance of thin filaments in skinned fibers of rabbit skeletal muscle. Biophys J. 1995;69(3):1000-10., 4848 Wakabayashi K, Yasunobu S, Tanaka H, Yutaka U, Takezawa Y, Amemiya Y. X-ray diffraction evidence for the extensibility of actin and myosin filaments during muscle contraction. Biophys J. 1994;67(6):2422-35., 4949 Forcinito M, Epstein M, Herzog W. Theoretical considerations on myofibril stiffness. Biophys J. 1997; 72(3):1278-86.).

Orlova and Egelman (5050 Orlova A, Egelman EH. F-actin retains a memory of angular order. Biophys J. 2000;78(4):2180-5.) preclude this hypothesis by proposing a memory of the double helix of F-actin chain, where the angular distortions would be very small. This memory would defeat the mechanism of inhibition induced by stress of cross bridges actin-myosin, which would result in the removal of the actin heads MCP active site.

Such memory would keep a kind of angular order to retain the position of the actin subunit in an appropriate coupling and formation of the cross-bridges (5050 Orlova A, Egelman EH. F-actin retains a memory of angular order. Biophys J. 2000;78(4):2180-5.) angle. On the other hand, for some advocates of FD (2Abbot BC, Aubert XM. The force exerted by active striated muscle during and after change in length. J Physiol. 1952;117(1):77-6., 6Herzog W. The Nature of force depression and force enhancement in skeletal muscle contraction. Eur J Sport Sci. 2001;1(3):1-14., 7Herzog W. History dependence of skeletal muscle force production: implications for movement control. Hum Movement Sci. 2004;23(5):591-604., 1919 Joyce GC, Rack PMH, Westbury DR. The mechanical properties of cat soleus muscle during controlled lengthening and shortening movements. J Physiol. 1969;204(2):461-74., 3232 Rassier DE, Herzog W. Considerations on the history dependence of muscle contraction. J Appl Physiol. 2004;96(2):419-27., 3333 Herzog W, Leonard TR. The history dependence of force production in mammalian skeletal muscle following stretch-shortening and shortening-stretch cycles. J Biomech. 2000;33(5):531-42.) subsidies to confirm it, use the analysis of the common features of the phenomenon. They take into consideration that it increases at large amplitudes of shortening, low speed and large amounts of force produced during active shortening.

Theory of non-uniformity and instability of sarcomere

The non-uniformity of sarcomeres theory is based on the fact that the sarcomeres have a mechanical property of non-uniformity and instability. This is because the sarcomeres (or half sarcomeres) do not reproduce the same rate of change in length imposed to the whole muscle tissue.

Thus, it is proposed that this non-uniformity would lead to depression of isometric force following an active pre shortening because while some sarcomeres would resume its original shape and length (observed during isometric contraction reference), others remain shortened even after the removal of stimulus (2Abbot BC, Aubert XM. The force exerted by active striated muscle during and after change in length. J Physiol. 1952;117(1):77-6., 6Herzog W. The Nature of force depression and force enhancement in skeletal muscle contraction. Eur J Sport Sci. 2001;1(3):1-14., 7Herzog W. History dependence of skeletal muscle force production: implications for movement control. Hum Movement Sci. 2004;23(5):591-604., 1414 Edman KPA, Caputo C, Lou F. Depression of tetanic force induced by loaded shortening of frog muscle fibres. J Physiol. 1993;466(1):535-52., 1515 De Ruiter CJ, De Haan A, Jones DA, Sargeant AJ. Shortening induced force depression in human adductor pollicis muscle. J Physiol. 1998;507(2):583-91., 1616 De Ruiter CJ, De Haan A. Shortening induced depression of voluntary force in unfatigued and fatigued human adductor pollicis muscle. J Appl Physiol. 2003;94(1):69-74., 3232 Rassier DE, Herzog W. Considerations on the history dependence of muscle contraction. J Appl Physiol. 2004;96(2):419-27., 3434 Sugi H, Tsuchiya T. Stiffness changes during enhancement and deficit of isometric force by slow length changes in frog skeletal muscle fibres. J Physiol. 1988;407(1):215-29., 3535 Morgan, DL. New insights into the behavior of muscle during active lengthening. Biophys J. 1990; 57(2):209-21., 3636 Morgan DL, Whitehead NP, Wise AK, Gregory JE, Proske U. Tension changes in the cat soleus muscle following slow stretch or shortening of the contracting muscle. J Physiol. 2000;522(3):503-13., 4040 Granzier HLM, Pollack GH. Effect of active pre-shortening on isometric and isotonic performance of single frog muscle fibres. J Physiol. 1989;415(1):299-327., 5151 Julian FJ, Morgan DL. The effect on tension of non-uniform distribution of length changes applied to frog muscle fibres. J Physiol. 1979;293(1):379-92.).

It should be said that, if one accepts this theory, it would be expected that the decrease in isometric force would have any relation to the LTC, since the maintenance of shortening at levels below the optimum length would be responsible for the reduction in force. That is what some proponents of this theory have reasoned, because the FD is a phenomenon observed primarily in the descending limb of LTC (6Herzog W. The Nature of force depression and force enhancement in skeletal muscle contraction. Eur J Sport Sci. 2001;1(3):1-14., 7Herzog W. History dependence of skeletal muscle force production: implications for movement control. Hum Movement Sci. 2004;23(5):591-604., 3232 Rassier DE, Herzog W. Considerations on the history dependence of muscle contraction. J Appl Physiol. 2004;96(2):419-27.).

Furthermore, the FD should not occur in uniform sarcomeres, with constant and regular lengths before and after muscle shortening, as already noted (6Herzog W. The Nature of force depression and force enhancement in skeletal muscle contraction. Eur J Sport Sci. 2001;1(3):1-14., 7Herzog W. History dependence of skeletal muscle force production: implications for movement control. Hum Movement Sci. 2004;23(5):591-604., 3232 Rassier DE, Herzog W. Considerations on the history dependence of muscle contraction. J Appl Physiol. 2004;96(2):419-27.). However, these arguments are refuted by studies showing that the phenomenon also occurs, albeit to a lesser extent, in the ascending limb of the LTC.

Even in the presence of a control mechanism to stabilize and maintain uniformity, structural integrity and regulate sarcomere length, FD has been observed, also revealing a reduction in muscle passive tension (6Herzog W. The Nature of force depression and force enhancement in skeletal muscle contraction. Eur J Sport Sci. 2001;1(3):1-14., 7Herzog W. History dependence of skeletal muscle force production: implications for movement control. Hum Movement Sci. 2004;23(5):591-604., 2121 Lee HD, Herzog W. Force depression following muscle shortening of voluntarily activated and electrically stimulated human adductor pollicis. J Physiol. 2003;551(3):993-1003., 3232 Rassier DE, Herzog W. Considerations on the history dependence of muscle contraction. J Appl Physiol. 2004;96(2):419-27., 3333 Herzog W, Leonard TR. The history dependence of force production in mammalian skeletal muscle following stretch-shortening and shortening-stretch cycles. J Biomech. 2000;33(5):531-42., 3434 Sugi H, Tsuchiya T. Stiffness changes during enhancement and deficit of isometric force by slow length changes in frog skeletal muscle fibres. J Physiol. 1988;407(1):215-29., 3838 De Ruiter CJ, Didden WJM, Jones DA, De Haan A. The force-velocity relationship of human adductor pollicis muscle during stretch and effects of fatigue. J Physiol. 2000;526(3):671-81., 3939 Herzog W, Leonard TR. Force enhancement following stretching of skeletal muscle: a new mechanism. J Exp Biol. 2002;205(Pt 9):1275-83., 4040 Granzier HLM, Pollack GH. Effect of active pre-shortening on isometric and isotonic performance of single frog muscle fibres. J Physiol. 1989;415(1):299-327.).

In accordance with these recent studies, studies that investigated this hypothesis by manipulating sarcomere length, using stretch-shortening cycles, pre stretching or shortening only found conflicting results (7Herzog W. History dependence of skeletal muscle force production: implications for movement control. Hum Movement Sci. 2004;23(5):591-604., 5252 Rassier DE, Herzog W, Pollack GH. Dynamics of individual sarcomeres during and after stretch in activated single myofibrils. Proc R Soc Lond B. 2003; 270(1525):1735-40., 5353 Telley A, Stehle R, Ranatunga KW, Pfitzer G, Stüssi E, Denoth J. Dynamic behavior of half-sarcomeres during and after stretch in activated rabbit psoas myofibrils: sarcomere asymmetry but not ‘sarcomere popping’. J Physiol. 2006;573(1):173-85., 5454 Telley A, Denoth J. Sarcomere dynamics during muscular contraction and their implications to muscle function. J Muscle Res Cell Motil. 2007;28(1):89-104.). While indicating asymmetry, the results point to the stability and uniformity of sarcomeres and half sarcomeres, and ultimately call into question the validity and justification of the theory of non-uniformity and instability of sarcomeres.

Theory of reduced affinity between calcium (Ca2+) and the active sites of actin

It has been attributed to Ca2+ a role of regulation and control in the active sites of actin, favoring the coupling mechanism and the actin-myosin cross-bridge activation. A decrease in affinity and sensitivity of active sites of actin to Ca2+, the pumping rate of Ca2+ into the sarcoplasm toward the active actin sites, and the Ca2+ ATPase system activity has been linked to mechanisms of fatigue. Moreover, it has been pointed out as the probable cause of the mechanism of SCD and reduced muscle passive tension (5555 Julian FJ, Moss RL. Effects of calcium and ionic strength on shortening velocity and tension development in frog skinned muscle fibres. J Physiol. 1981; 311(1):179-99., 5656 Iwazumi T, Pollack GH. The effect of sarcomere non-uniformity on the sarcomere length-tension relationship of skinned fibers. J Cell Physiol. 1981; 106(3):321-37., 5757 Lännergren J, Westerblad H. Force decline due to fatigue and intracellular acidification in isolated fibres from mouse skeletal muscle. J Physiol. 1991; 434(1):307-22., 5858 Balnave CD, Allen DG. Intracellular calcium and force in single mouse muscle fibres following repeated contractions with stretch. J Physiol. 1995;488(1):25-36., 5959 Tupling R, Green H, Grant S, Burnett M, Ranney D. Postcontractile force depression in humans is associated with an impairment of SRCa2+ pump function. Am J Physiol Regulatory Integrative Comp Physiol. 2000;278(1):R87-94., 6060 Kabbara AA, Allen DG. The role of calcium stores in fatigue of isolated single muscle fibres from the cane toad. J Physiol. 1999;519(1):169-76., 6161 Allen DG, Westerblad H. Role of phosphate and calcium stores in muscle fatigue. J Physiol. 2001; 536(3):657-65., 6262 Allen DG, Lamb GD, Westerblad H. Impaired calcium release during fatigue. J Appl Physiol. 2008;104(1): 296-305.).

It is also possible that the mechanism of inhibition by stress induced cross-bridge to actin-myosin responds not only to deformations and structural changes of the active actin-myosin coupling sites, but also to cellular Ca2+ dependent mechanism.

Although the Ca2+ dependent mechanism may encourage titin filaments, generating an increase in passive tension during contraction, it could induce a reduction in the rate of decoupling of the active sites of cross bridges (5454 Telley A, Denoth J. Sarcomere dynamics during muscular contraction and their implications to muscle function. J Muscle Res Cell Motil. 2007;28(1):89-104., 6363 Bagni MA, Colombini B, Geiger P, Berlinguer Palmini R, Cecchi G. Non-cross-bridges calcium-dependent stiffness in frog muscle fibers. Am J Physiol Cell Physiol. 2004;286(6):C1353-7., 6464 Labeit D, Watanabe K, Witt C, Fujita H, Wu Y, Lahmers S, et al. Calcium-dependent molecular spring elements in the giant protein titin. Proc Natl Acad Sci. 2003; 100(23):13716-21., 6565 Rassier DE, Lee EJ, Herzog W. Modulation of passive force in single skeletal muscle fibres. Biol Lett. 2005;1(3):342-5., 6666 Herzog W, Lee EJ, Rassier DE. Residual force enhancement in skeletal muscle. J Physiol. 2006;574(3):635-42., 6767 Herzog W, Leonard TR. The role of passive structures in force enhancement of skeletal muscle following active stretch. J Biomech. 2005;38(3):409-15.).

As opposed to the action of Ca2+ in the control of inhibition induced stress of cross bridges, it is suggested that two isoforms of troponin, troponin I (SSTN-I) and troponin C (sTn-C) exert greater influence on the dynamic coupling of actin -myosin filaments, especially thin filaments of actin, as compared to Ca2+ dependent (6868 De Tombe PP, Belus A, Piroddi N, Scellini B, Walker JS, Martin AF, et al. Myofilament calcium sensitivity does not affect cross-bridge activation-relaxation kinetics. Am J Physiol Regul Integr Comp Physiol. 2007; 292(3): R1129-36., 6969 Moreno-Gonzalez A, Gillis TE, Rivera AJ, Bryant Chase P, Martyn DA, Regnier M. Thin-filament regulation of force redevelopment kinetics in rabbit skeletal muscle fibres. J Physiol. 2007;579(2):313-26., 7070 Kreutziger KL, Piroddi N, Scellini B, Tesi C, Poggesi C, Regnier M. Thin filament Ca2+ binding properties and regulatory unit interactions alter kinetics tension development and relaxation in rabbit skeletal muscle. J Physiol. 2008;586(15):3683-700.) system. Moreover, taking into account the evidence presented, it can be thought that the mechanism of FD is only a transitory phenomenon, instantly abolished as soon as you recompose the sarcoplasmic Ca2+ concentrations in the muscle fiber (6Herzog W. The Nature of force depression and force enhancement in skeletal muscle contraction. Eur J Sport Sci. 2001;1(3):1-14., 7Herzog W. History dependence of skeletal muscle force production: implications for movement control. Hum Movement Sci. 2004;23(5):591-604.).

However, the FD has long duration, and cannot be completely abolished after the instantaneous removal of the stimulus of muscle shortening. This fact rule out the possibility of reducing the affinity of Ca2+ sensitivity as the determining mechanism for this phenomenon, or in other words, the phenomenon could be simply related to muscle fatigue (2Abbot BC, Aubert XM. The force exerted by active striated muscle during and after change in length. J Physiol. 1952;117(1):77-6., 6Herzog W. The Nature of force depression and force enhancement in skeletal muscle contraction. Eur J Sport Sci. 2001;1(3):1-14., 7Herzog W. History dependence of skeletal muscle force production: implications for movement control. Hum Movement Sci. 2004;23(5):591-604., 1515 De Ruiter CJ, De Haan A, Jones DA, Sargeant AJ. Shortening induced force depression in human adductor pollicis muscle. J Physiol. 1998;507(2):583-91., 3232 Rassier DE, Herzog W. Considerations on the history dependence of muscle contraction. J Appl Physiol. 2004;96(2):419-27., 3333 Herzog W, Leonard TR. The history dependence of force production in mammalian skeletal muscle following stretch-shortening and shortening-stretch cycles. J Biomech. 2000;33(5):531-42.).

Theory influx of protons (H+) ions and inorganic phosphate (PO43-)

Some researchers have argued that increases in the influx of H+, and PO43- into the muscle fiber are associated not only to the mechanism of muscle fatigue, but to the FD, decreased passive tension during the shortening phase. The muscle fiber size should also be taken into account, whereas the concentrations of H+, and PO43- in a proportional relationship that is, higher fiber size, the greater the influx of H+, and PO43- (4040 Granzier HLM, Pollack GH. Effect of active pre-shortening on isometric and isotonic performance of single frog muscle fibres. J Physiol. 1989;415(1):299-327., 6161 Allen DG, Westerblad H. Role of phosphate and calcium stores in muscle fatigue. J Physiol. 2001; 536(3):657-65., 7171 Stienen GJ, Roosemalen MC, Wilson MG, Elzinga G. Depression force by phosphate in skinned skeletal muscle fibers of the frog. Am J Physiol Cell Physiol. 1990;259 (2 Pt 1):C349-57., 7272 Ebus JP, Stienen GJM, Elzinga G. Influence of phosphate and pH on myofibrillar ATPase activity and force in skinned cardiac trabeculae from rat. J Physiol. 1994;476(3):501-16., 7373 Potma EJ, van Graas A, Stienen GJM. Influence of inorganic phosphate and pH on ATP utilization in fast and slow skeletal muscle fibers. Biophys J. 1995; 69(6): 2580-9., 7474 Stienen GJM, Papp Z, Zaremba R. Influence of inorganic phosphate and pH on sarcoplasmic reticular ATPase in skinned muscle fibres of Xenopus Laevis. J Physiol. 1999;518(3):735-44., 7575 Tesi C, Colomo F, Nencini S, Piroddi N, Poggesi C. The effect of inorganic phosphate on force generation in single myofibrils from rabbit skeletal muscle. Biophys J. 2000;78(6):3081-92., 7676 Dahlstedt AJ, Katz A, Westerblad H. Role of myoplasmic phosphate in contractile function of skeletal muscle: studies on creatine kinase-deficient mice. J Physiol. 2001;533(2):379-88.).

As the both ions driven cannot be removed quickly, one can speculate that FD could not be abolished instantaneously after quick deactivation muscle, but should persist for a long period of time (6Herzog W. The Nature of force depression and force enhancement in skeletal muscle contraction. Eur J Sport Sci. 2001;1(3):1-14., 7Herzog W. History dependence of skeletal muscle force production: implications for movement control. Hum Movement Sci. 2004;23(5):591-604., 3232 Rassier DE, Herzog W. Considerations on the history dependence of muscle contraction. J Appl Physiol. 2004;96(2):419-27.). However, although the phenomenon of FD present long term stimulus while there, it is abolished in relatively short periods of time, 0.5 s is 1, leading to the rejection of this theory to explain it (2Abbot BC, Aubert XM. The force exerted by active striated muscle during and after change in length. J Physiol. 1952;117(1):77-6., 6Herzog W. The Nature of force depression and force enhancement in skeletal muscle contraction. Eur J Sport Sci. 2001;1(3):1-14., 7Herzog W. History dependence of skeletal muscle force production: implications for movement control. Hum Movement Sci. 2004;23(5):591-604., 3232 Rassier DE, Herzog W. Considerations on the history dependence of muscle contraction. J Appl Physiol. 2004;96(2):419-27., 4242 Herzog W, Leonard TR. Reply from Walter Herzog (on behalf of the authors) and Tim Leonard. J Physiol. 2007;578(2):617-20.).

On the other hand, it should be considered the arguments that support the long-term feature of the phenomenon (2Abbot BC, Aubert XM. The force exerted by active striated muscle during and after change in length. J Physiol. 1952;117(1):77-6., 6Herzog W. The Nature of force depression and force enhancement in skeletal muscle contraction. Eur J Sport Sci. 2001;1(3):1-14., 7Herzog W. History dependence of skeletal muscle force production: implications for movement control. Hum Movement Sci. 2004;23(5):591-604., 3333 Herzog W, Leonard TR. The history dependence of force production in mammalian skeletal muscle following stretch-shortening and shortening-stretch cycles. J Biomech. 2000;33(5):531-42., 3636 Morgan DL, Whitehead NP, Wise AK, Gregory JE, Proske U. Tension changes in the cat soleus muscle following slow stretch or shortening of the contracting muscle. J Physiol. 2000;522(3):503-13., 4040 Granzier HLM, Pollack GH. Effect of active pre-shortening on isometric and isotonic performance of single frog muscle fibres. J Physiol. 1989;415(1):299-327., 4141 Herzog W, Leonard TR, Wu JZ. Force depression following skeletal muscle shortening is long lasting. J Biomech. 1998;31(12):1163-8.). In addition, the contrast of the studies that show that relatively short periods that cause muscle deactivation may abolish instantly FD must also be taken into account (2Abbot BC, Aubert XM. The force exerted by active striated muscle during and after change in length. J Physiol. 1952;117(1):77-6., 6Herzog W. The Nature of force depression and force enhancement in skeletal muscle contraction. Eur J Sport Sci. 2001;1(3):1-14., 7Herzog W. History dependence of skeletal muscle force production: implications for movement control. Hum Movement Sci. 2004;23(5):591-604., 3232 Rassier DE, Herzog W. Considerations on the history dependence of muscle contraction. J Appl Physiol. 2004;96(2):419-27., 3636 Morgan DL, Whitehead NP, Wise AK, Gregory JE, Proske U. Tension changes in the cat soleus muscle following slow stretch or shortening of the contracting muscle. J Physiol. 2000;522(3):503-13., 5151 Julian FJ, Morgan DL. The effect on tension of non-uniform distribution of length changes applied to frog muscle fibres. J Physiol. 1979;293(1):379-92.). Therefore, there is a need for future studies comparing the two hypotheses.

As can be seen, the phenomenon of FD is a fact that almost irrefutable, but its cause has conflicting rationales. It is important to reiterate that the phenomenon is not simply the reduction of isometric force after a concentric action due to muscle fatigue. It goes beyond that, even because the FE has many similarities with the FD and is associated with increased strength, even after maximal actions.

The concept of Force Enhancement

FE is defined as the increase in isometric force after active muscle stretching, when compared to a reference isometric contraction obtained in the same muscle length. In the same manner as in FD, the force produced has been measured in sarcomeres taken under stimulation, or muscle fiber. Few studies have been devoted to the investigation of the phenomenon in large muscles and submaximal voluntary actions. This can be observed with the summary presented in Table 2.

Table 2
Main characteristics of the selected FE studies as on type of stimulation, the material used and the observed effects considering the characteristics of lengthening applied

The main factors that influence the intensity of the increase in isometric force are the amplitude and speed of stretching (2Abbot BC, Aubert XM. The force exerted by active striated muscle during and after change in length. J Physiol. 1952;117(1):77-6., 6Herzog W. The Nature of force depression and force enhancement in skeletal muscle contraction. Eur J Sport Sci. 2001;1(3):1-14., 7Herzog W. History dependence of skeletal muscle force production: implications for movement control. Hum Movement Sci. 2004;23(5):591-604., 3333 Herzog W, Leonard TR. The history dependence of force production in mammalian skeletal muscle following stretch-shortening and shortening-stretch cycles. J Biomech. 2000;33(5):531-42., 3939 Herzog W, Leonard TR. Force enhancement following stretching of skeletal muscle: a new mechanism. J Exp Biol. 2002;205(Pt 9):1275-83.). However the rate of stretching was not able to influence the amount of FE in isolated muscle fibers of animal specimens (1717 Edman KPA, Elzinga G, Noble MIM. Enhancement of mechanical performance by stretch during tetanic contractions of vertebrate skeletal muscle fibres. J Physiol. 1978;281(1):139-55., 1818 Edman KPA, Elzinga G, Noble MIM. Residual force enhancement after stretch of contracting frog single muscle fibers. J Gen Physiol. 1982;80(5):769-84., 7777 Edman KPA, Reggiani C. Redistribution of sarcomere length during isometric contraction of frog muscle fibres and its relation to tension creep. J Physiol. 1984;351(1):169-98., 7878 Edman KPA, Tsuchiya T. Strain of passive elements during force enhancement by stretch in frog muscle fibres. J Physiol. 1996;490(1):191-205.).

Compared to FD, FE is characterized by having longer duration (greater than 25s), and also depends on the cycle of shortening, lengthening, or is reduced according to the amount of active stretching prior to shortening. Studies show that FE is instantly abolished if the amplitude of the preceding shortening is equal to or higher than the magnitude of stretching employed (3636 Morgan DL, Whitehead NP, Wise AK, Gregory JE, Proske U. Tension changes in the cat soleus muscle following slow stretch or shortening of the contracting muscle. J Physiol. 2000;522(3):503-13., 7979 Herzog W, Schachar R, Leonard TR. Characterization of the passive component of force enhancement following active stretching of skeletal muscle. J Exp Biol. 2003;206(Pt 20):3635-43.).

As in FD, the occurrence of FE initially was linked only to the lower limb and the peak of the LTC (2222 Lee HD, Herzog W. Force enhancement following muscle stretch of electrically stimulated and voluntary activated human adductor pollicis. J Physiol. 2002;545(1):321-30., 2323 Oskouei AE, Herzog W. Observations on force enhancement in submaximal voluntary contractions of human adductor pollicis muscle. J Appl Physiol. 2005;98(6):2087-95., 2424 Rousanoglou EN, Oskouei AE, Herzog W. Force depression following muscle shortening in sub-maximal voluntary contractions of human adductor pollicis. J Biomech. 2007;40(1):1-8.). However, new findings indicate that FE is also observed with reasonable stability in the ascending limb of the LCT (3939 Herzog W, Leonard TR. Force enhancement following stretching of skeletal muscle: a new mechanism. J Exp Biol. 2002;205(Pt 9):1275-83., 8080 Peterson DR, Rassier DE, Herzog W. Force enhancement in single skeletal muscle fibres on the ascending limb of force-length relationship. J Exp Biol. 2004;207(Pt 16):2787-91., 8181 Pun C, Syed A, Rassier DE. History-dependent properties of muscle myofibrils contracting along the ascending limb of the force-length relationship. Proc R Soc Lond B. 2010;277(1680):475-84., 8282 Morgan DL. An explanation for residual increased tension in striated muscle after stretch during contraction. Exp Physiol. 1994;79(5):831-8.). Similarly to FD, FE researches has employed the electrical and in most cases with maximum frequency (Table 2). However, although some authors justify their use in models of motor control and therapeutic procedures, it is still observed a large gap as its practical application (5Brown IE, Loeb GE. Measured and modeled properties of mammalian skeletal muscle III: effects of the stimulus frequency on stretch-induced force enhancement and shortening-induced force depression. J Muscle Res Cell Motil. 2000;21(1):21-31., 7Herzog W. History dependence of skeletal muscle force production: implications for movement control. Hum Movement Sci. 2004;23(5):591-604.).

Mechanisms and assumptions for FE

The main theories available to explain the phenomenon of FE are the theories of non- uniformity and sarcomere instability, and the recruitment of elastic components in parallel (CEP).

Theory of non-uniformity and sarcomere instability

This hypothesis is based on the principle described above, that the mechanics of deformation and alteration of sarcomere length does not follow a regular pattern, in which all units of sarcomeres are subjects to homogeneous deformation when a lengthening is applied to the sarcomere (6Herzog W. The Nature of force depression and force enhancement in skeletal muscle contraction. Eur J Sport Sci. 2001;1(3):1-14., 7Herzog W. History dependence of skeletal muscle force production: implications for movement control. Hum Movement Sci. 2004;23(5):591-604., 1717 Edman KPA, Elzinga G, Noble MIM. Enhancement of mechanical performance by stretch during tetanic contractions of vertebrate skeletal muscle fibres. J Physiol. 1978;281(1):139-55., 3232 Rassier DE, Herzog W. Considerations on the history dependence of muscle contraction. J Appl Physiol. 2004;96(2):419-27., 3535 Morgan, DL. New insights into the behavior of muscle during active lengthening. Biophys J. 1990; 57(2):209-21., 3636 Morgan DL, Whitehead NP, Wise AK, Gregory JE, Proske U. Tension changes in the cat soleus muscle following slow stretch or shortening of the contracting muscle. J Physiol. 2000;522(3):503-13., 5151 Julian FJ, Morgan DL. The effect on tension of non-uniform distribution of length changes applied to frog muscle fibres. J Physiol. 1979;293(1):379-92., 7777 Edman KPA, Reggiani C. Redistribution of sarcomere length during isometric contraction of frog muscle fibres and its relation to tension creep. J Physiol. 1984;351(1):169-98., 8383 Morgan DL, Proske U. Popping sarcomere hypothesis explains stretch induced muscle damage. Proc Aus Physiol Pharmac Soc. 2004;34:19-23.). It is suggested that the production of isometric force generated above the isometric contraction reference force would cause a small degree of deformation of some sarcomeres stretching while others suffer to a greater extent.

This would lead to great changes in length and reducing the overlap between the actin and myosin, resulting in fewer active cross-bridges. As a compensatory mechanism, sarcomere non-uniform and more fragile, when extended beyond the optimum length, recruit the CEP to restore the number of active cross-bridges in the strongest sarcomeres process known as sarcomeral popping (3232 Rassier DE, Herzog W. Considerations on the history dependence of muscle contraction. J Appl Physiol. 2004;96(2):419-27., 8282 Morgan DL. An explanation for residual increased tension in striated muscle after stretch during contraction. Exp Physiol. 1994;79(5):831-8., 8383 Morgan DL, Proske U. Popping sarcomere hypothesis explains stretch induced muscle damage. Proc Aus Physiol Pharmac Soc. 2004;34:19-23.).

On the other hand, some studies indicate that the sarcomeral popping (stretching, thinning and disruption) could result in a sarcomerogenesis mechanism with the addition of new sarcomeres from the division of fragile new sarcomeres and smaller units (3232 Rassier DE, Herzog W. Considerations on the history dependence of muscle contraction. J Appl Physiol. 2004;96(2):419-27., 8383 Morgan DL, Proske U. Popping sarcomere hypothesis explains stretch induced muscle damage. Proc Aus Physiol Pharmac Soc. 2004;34:19-23., 8484 Butterfield TA, Leonard TR, Herzog W. Differential serial sarcomere number adaptations in knee extensor muscles of rats in contraction type dependent. J Appl Physiol. 2005;99(4):1352-8., 8585 Lee EJ, Herzog W. Residual force enhancement exceeds the isometric force at optimal sarcomere length for optimized stretch conditions. J Appl Physiol. 2008; 105(2):457-62.).

To confirm this hypothesis, Lynn and Morgan (8686 Lynn R, Morgan DL. Decline running produces more sarcomeres in rat vastus intermedius muscle fibers than does incline running. J Appl Physiol. 1994; 77(3):1439-44.) and Lynn et al. (8787 Lynn R, Talbot JA, Morgan DL. Differences in rat skeletal muscles after incline and decline running. J Appl Physiol. 1998;85(1):98-104.) showed the occurrence of sarcomerogenese after 5 days of training. Using a stretching protocol with progressive increases in amplitude until a point beyond optimum length, featured a sub-acute mechanism and acute adaptation, contrasting with the chronic process, which requires weeks or months (8888 Nobrega ACL. The subacute effects of exercise: concept, characteristics and clinical implications. Exerc Sport Sci Rev. 2005;33(2):84-87.).

Considering these arguments, some speculations on the theory emerged about FE: a) could not be observed in the ascending limb of the LTC muscle, b) should be instantly abolished in uniform sarcomeres, with constant and regular lengths, c) the magnitude of the increase in force would always be lower than the amount of force obtained in isometric contraction of reference. These speculations are in agreement with the results obtained in some studies (2Abbot BC, Aubert XM. The force exerted by active striated muscle during and after change in length. J Physiol. 1952;117(1):77-6., 6Herzog W. The Nature of force depression and force enhancement in skeletal muscle contraction. Eur J Sport Sci. 2001;1(3):1-14., 7Herzog W. History dependence of skeletal muscle force production: implications for movement control. Hum Movement Sci. 2004;23(5):591-604., 1919 Joyce GC, Rack PMH, Westbury DR. The mechanical properties of cat soleus muscle during controlled lengthening and shortening movements. J Physiol. 1969;204(2):461-74., 3232 Rassier DE, Herzog W. Considerations on the history dependence of muscle contraction. J Appl Physiol. 2004;96(2):419-27., 4343 Maréchal G, Plaghki L. The deficit of the isometric tetanic tension redeveloped after a release of frog muscle at a constant velocity. J Gen Physiol. 1979;73 (4):453-67.).

Paradoxically, other studies have shown that FE also occurs, albeit to a lesser extent, in the ascending limb of the LTC in uniform sarcomeres. They also showed that the amount of FE may exceed the amount of isometric force measured during the performance of an isometric contraction of reference, in the same muscle length (6Herzog W. The Nature of force depression and force enhancement in skeletal muscle contraction. Eur J Sport Sci. 2001;1(3):1-14., 7Herzog W. History dependence of skeletal muscle force production: implications for movement control. Hum Movement Sci. 2004;23(5):591-604., 1818 Edman KPA, Elzinga G, Noble MIM. Residual force enhancement after stretch of contracting frog single muscle fibers. J Gen Physiol. 1982;80(5):769-84., 3232 Rassier DE, Herzog W. Considerations on the history dependence of muscle contraction. J Appl Physiol. 2004;96(2):419-27., 8181 Pun C, Syed A, Rassier DE. History-dependent properties of muscle myofibrils contracting along the ascending limb of the force-length relationship. Proc R Soc Lond B. 2010;277(1680):475-84., 8989 Rassier DE, Herzog W. Active force inhibition and stretch induced force enhancement in frog muscle treated with BDM. J Appl Physiol. 2004;97(4): 1395-400.).

Elastic components in parallel recruitment theory

This theory is based on the scanning mechanism of the elastic force in parallel, with the titin filament assuming the main role (3232 Rassier DE, Herzog W. Considerations on the history dependence of muscle contraction. J Appl Physiol. 2004;96(2):419-27., 3939 Herzog W, Leonard TR. Force enhancement following stretching of skeletal muscle: a new mechanism. J Exp Biol. 2002;205(Pt 9):1275-83., 6666 Herzog W, Lee EJ, Rassier DE. Residual force enhancement in skeletal muscle. J Physiol. 2006;574(3):635-42., 7979 Herzog W, Schachar R, Leonard TR. Characterization of the passive component of force enhancement following active stretching of skeletal muscle. J Exp Biol. 2003;206(Pt 20):3635-43., 8080 Peterson DR, Rassier DE, Herzog W. Force enhancement in single skeletal muscle fibres on the ascending limb of force-length relationship. J Exp Biol. 2004;207(Pt 16):2787-91., 8989 Rassier DE, Herzog W. Active force inhibition and stretch induced force enhancement in frog muscle treated with BDM. J Appl Physiol. 2004;97(4): 1395-400., 9090 Rassier DE, Herzog W. Relationship between force and stiffness in muscle fibers after stretch. J Appl Physiol. 2005;99(5):1769-75., 9191 Rassier DE, Herzog W. Force enhancement and relaxation rates after stretch of activated muscle fibres. Proc R Soc Lond B. 2005;272 (1562):475-80., 9292 Lee EJ, Joumaa V, Herzog W. New insights into the passive force enhancement in skeletal muscles. J Biomech. 2007;40(4):719-27., 9393 Joumaa V, Rassier DE, Leonard TR, Herzog W. The origin of passive force enhancement in skeletal muscle. Am J Physiol Cell Physiol. 2008;294(1):C74-8.). Such filaments would be responsible for producing the voltage required to maintain the centering, the length and the ideal overlap between the actin and myosin. Also, it keeps the active sites of actin in suitable for the coupling heads of MCP angular position, and ensure the maintenance of muscle passive tension due to its mechanical properties (9494 Kellermayer MSZ, Granzier HL. Elastic properties of single titin molecules made visible through fluorescent F-actin binding. Biochem Biophys Res Com. 1996;221(3):491-7., 9595 Fukuda N, Granzier HL, Ishiwata S, Kurihara S. Physiological functions of the giant elastic protein titin in mammalian striated muscle. J Physiol Sci. 2008; 58(3):151-9., 9696 Horowits R. Passive force generation and titin isoforms in mammalian skeletal muscle. Biophys J. 1992; 61(2):392-8.).

Labeit et al. (6464 Labeit D, Watanabe K, Witt C, Fujita H, Wu Y, Lahmers S, et al. Calcium-dependent molecular spring elements in the giant protein titin. Proc Natl Acad Sci. 2003; 100(23):13716-21.) propose that the maintenance of muscle passive tension was still associated with the Ca2+ dependent mechanism, due to a high affinity and coupling capacity between Ca2+ and the active site of titin filaments. This possibly would play important role in stabilizing the muscle length during contraction while stretching.

Thus, the mechanism of FE was associated with a significant increase in isometric force generated by the passive force after an active stretch. Confirmed this hypothesis, the amount of muscle shortening employed to the muscle immediately before the stretching, if equal to or of greater magnitude (dose-dependent mechanism) probably should abolish completely the phenomenon by means of inhibition of the elastic passive components (6Herzog W. The Nature of force depression and force enhancement in skeletal muscle contraction. Eur J Sport Sci. 2001;1(3):1-14., 7Herzog W. History dependence of skeletal muscle force production: implications for movement control. Hum Movement Sci. 2004;23(5):591-604., 3232 Rassier DE, Herzog W. Considerations on the history dependence of muscle contraction. J Appl Physiol. 2004;96(2):419-27.).

Theories based on the increase of tensile strength have been confirmed in part by studies that showed an association between the increase in isometric force after active stretching and increased passive force. This association is independent of the coupling of new cross bridges actin – myosin that remains after ceased the stimulus (7Herzog W. History dependence of skeletal muscle force production: implications for movement control. Hum Movement Sci. 2004;23(5):591-604., 1717 Edman KPA, Elzinga G, Noble MIM. Enhancement of mechanical performance by stretch during tetanic contractions of vertebrate skeletal muscle fibres. J Physiol. 1978;281(1):139-55., 2222 Lee HD, Herzog W. Force enhancement following muscle stretch of electrically stimulated and voluntary activated human adductor pollicis. J Physiol. 2002;545(1):321-30., 2828 Hahn D, Seiberl W, Schwirtz A. Force enhancement during and following muscle stretch of maximal voluntarily activated human quadriceps femoris. Eur J Appl Physiol. 2007;100(6):701-9., 3333 Herzog W, Leonard TR. The history dependence of force production in mammalian skeletal muscle following stretch-shortening and shortening-stretch cycles. J Biomech. 2000;33(5):531-42., 9797 Bagni MA, Cecchi G, Colomo F, Garzella P. Development of stiffness precedes cross-bridge attachment during the early tension rise in single frog muscle fibres. J Physiol. 1994;481(2):273-8.).

As the foregoing shortening that precedes the elongation at magnitude equal to or greater than the elongation reduces to zero the FE, and nullifies the effect of the elastic force (passive), there is ample evidence that FE is caused by muscle elasticity characteristics are (7Herzog W. History dependence of skeletal muscle force production: implications for movement control. Hum Movement Sci. 2004;23(5):591-604., 3232 Rassier DE, Herzog W. Considerations on the history dependence of muscle contraction. J Appl Physiol. 2004;96(2):419-27., 3333 Herzog W, Leonard TR. The history dependence of force production in mammalian skeletal muscle following stretch-shortening and shortening-stretch cycles. J Biomech. 2000;33(5):531-42., 3535 Morgan, DL. New insights into the behavior of muscle during active lengthening. Biophys J. 1990; 57(2):209-21., 7979 Herzog W, Schachar R, Leonard TR. Characterization of the passive component of force enhancement following active stretching of skeletal muscle. J Exp Biol. 2003;206(Pt 20):3635-43., 9797 Bagni MA, Cecchi G, Colomo F, Garzella P. Development of stiffness precedes cross-bridge attachment during the early tension rise in single frog muscle fibres. J Physiol. 1994;481(2):273-8.).

Conclusion

The phenomena of FD and FE are well described in the literature and accepted among researchers being recognized as inherent properties, both in the sarcomere as the isolated muscle fibers and, to a lesser extent to the muscle groups. However, the explanation for these phenomena is not well established.

Based on this review, it is suggested that the theory of stress-induced inhibition of cross bridges to actin-myosin may be a plausible explanation for the FD. This is due to the fragility of the theories of sarcomere instability and non-uniformity of influx of H+, PO43-, and the decreased affinity of Ca2+, as well as the active sites of actin filaments that do not themselves could explain the mechanism FD. After all, it should be remembered that all have been refuted by the available studies.

As for the AF phenomenon, there seems to be evidence that is due to a component of mechanical origin, related to the increasing number of cross-bridges from actin-myosin coupled in a strong state. This component is potentially influenced by the increased recruitment of the elastic components of passive force, assigning to this role titin filaments. The applicability of these phenomena, little is seen of practical study in everyday life situations.

However, carefully noting the results, one can corroborate the statement made by others, that it should be taken into account in models of motor control. There are strong indications that may play a role in therapeutic procedures.

Moreover, understanding the functional dynamics of physiological and mechanical properties that regulate the production of force can result in the discovery of new strategies for prescribing physical activity, or even potentiation of existing techniques employed in rehabilitation sciences. In this sense, it seems quite reasonable that further studies should be developed.

References

  • 1
    Levin A, Wyman J. The viscous elastic properties of muscles. Proc R Soc Lond B. 1927;101(709):218-43.
  • 2
    Abbot BC, Aubert XM. The force exerted by active striated muscle during and after change in length. J Physiol. 1952;117(1):77-6.
  • 3
    Hill AV. The heat of shortening and the dynamic constants of muscles. Proc R Soc Lond B. 1938; 126 (843):136-95.
  • 4
    Huxley AF. Muscular contraction. J Physiol. 1974; 243 (1):1-43.
  • 5
    Brown IE, Loeb GE. Measured and modeled properties of mammalian skeletal muscle III: effects of the stimulus frequency on stretch-induced force enhancement and shortening-induced force depression. J Muscle Res Cell Motil. 2000;21(1):21-31.
  • 6
    Herzog W. The Nature of force depression and force enhancement in skeletal muscle contraction. Eur J Sport Sci. 2001;1(3):1-14.
  • 7
    Herzog W. History dependence of skeletal muscle force production: implications for movement control. Hum Movement Sci. 2004;23(5):591-604.
  • 8
    Fenn WO, Marsh BS. Muscular force at different speeds of shortening. J Physiol. 1935;85(3):277-97.
  • 9
    Katz B. The relation between force and speed in muscular contraction. J Physiol. 1939;96(1):45-4.
  • 10
    Wilkie DR. The relation between force and velocity in human muscles. J Physiol. 1949;110(3-4):249-80.
  • 11
    Abbot BC, Wilkie DR. The relation between velocity of shortening and the tension-length curve of skeletal muscle. J Physiol. 1953;120(1-2):214-23.
  • 12
    Thorstensson A, Grimby G, Karlsson J. Force-velocity relations and fiber type composition in human knee extensor muscles. J Appl Physiol. 1976;40(1):12-6.
  • 13
    Sonnenblick EH. Force-velocity relations in mammalian heart muscle. Am J Physiol. 1962;202(5):931-9.
  • 14
    Edman KPA, Caputo C, Lou F. Depression of tetanic force induced by loaded shortening of frog muscle fibres. J Physiol. 1993;466(1):535-52.
  • 15
    De Ruiter CJ, De Haan A, Jones DA, Sargeant AJ. Shortening induced force depression in human adductor pollicis muscle. J Physiol. 1998;507(2):583-91.
  • 16
    De Ruiter CJ, De Haan A. Shortening induced depression of voluntary force in unfatigued and fatigued human adductor pollicis muscle. J Appl Physiol. 2003;94(1):69-74.
  • 17
    Edman KPA, Elzinga G, Noble MIM. Enhancement of mechanical performance by stretch during tetanic contractions of vertebrate skeletal muscle fibres. J Physiol. 1978;281(1):139-55.
  • 18
    Edman KPA, Elzinga G, Noble MIM. Residual force enhancement after stretch of contracting frog single muscle fibers. J Gen Physiol. 1982;80(5):769-84.
  • 19
    Joyce GC, Rack PMH, Westbury DR. The mechanical properties of cat soleus muscle during controlled lengthening and shortening movements. J Physiol. 1969;204(2):461-74.
  • 20
    McDaniel J, Elmer SJ, Martin JC. The effect of shortening history on isometric and dynamic muscle function. J Biomech. 2010;43(4):606-11.
  • 21
    Lee HD, Herzog W. Force depression following muscle shortening of voluntarily activated and electrically stimulated human adductor pollicis. J Physiol. 2003;551(3):993-1003.
  • 22
    Lee HD, Herzog W. Force enhancement following muscle stretch of electrically stimulated and voluntary activated human adductor pollicis. J Physiol. 2002;545(1):321-30.
  • 23
    Oskouei AE, Herzog W. Observations on force enhancement in submaximal voluntary contractions of human adductor pollicis muscle. J Appl Physiol. 2005;98(6):2087-95.
  • 24
    Rousanoglou EN, Oskouei AE, Herzog W. Force depression following muscle shortening in sub-maximal voluntary contractions of human adductor pollicis. J Biomech. 2007;40(1):1-8.
  • 25
    Joumaa V, Leonard TR, Herzog W. Residual force enhancement in myofibrils and sarcomeres. Proc R Soc Lond B. 2008;275(1641):1411-9.
  • 26
    Joumaa V, Herzog W. Force depression in single myofibrils. J Appl Physiol. 2010;108(2):356-62.
  • 27
    Lee HD, Suter E, Herzog W. Force depression in human quadriceps femoris following voluntary shortening contractions. J Appl Physiol. 1999;87(5):1651-5.
  • 28
    Hahn D, Seiberl W, Schwirtz A. Force enhancement during and following muscle stretch of maximal voluntarily activated human quadriceps femoris. Eur J Appl Physiol. 2007;100(6):701-9.
  • 29
    Pinniger GJ, Cresswell AG. Residual force enhancement after lengthening is present during submaximal plantar flexion and dorsiflexion actions in humans. J Appl Physiol. 2007;102(1):18-25.
  • 30
    Hahn D, Seiberl W, Schmidt S, Schweizer K, Schiwirtz A. Evidence of residual force enhancement for multi-joint leg extension. J Biomech. 2010;43(8):1503-8.
  • 31
    McGowan CP, Neptune RR, Herzog W. A phenomenological model and validation of shortening-induced force depression during muscle contractions. J Biomech. 2010;43(3):449-54.
  • 32
    Rassier DE, Herzog W. Considerations on the history dependence of muscle contraction. J Appl Physiol. 2004;96(2):419-27.
  • 33
    Herzog W, Leonard TR. The history dependence of force production in mammalian skeletal muscle following stretch-shortening and shortening-stretch cycles. J Biomech. 2000;33(5):531-42.
  • 34
    Sugi H, Tsuchiya T. Stiffness changes during enhancement and deficit of isometric force by slow length changes in frog skeletal muscle fibres. J Physiol. 1988;407(1):215-29.
  • 35
    Morgan, DL. New insights into the behavior of muscle during active lengthening. Biophys J. 1990; 57(2):209-21.
  • 36
    Morgan DL, Whitehead NP, Wise AK, Gregory JE, Proske U. Tension changes in the cat soleus muscle following slow stretch or shortening of the contracting muscle. J Physiol. 2000;522(3):503-13.
  • 37
    Schachar R, Herzog W, Leonard TR. Force Enhancement above the initial isometric force on the descending limb of the force-length relationship. J Biomech. 2002;35(10):1299-306.
  • 38
    De Ruiter CJ, Didden WJM, Jones DA, De Haan A. The force-velocity relationship of human adductor pollicis muscle during stretch and effects of fatigue. J Physiol. 2000;526(3):671-81.
  • 39
    Herzog W, Leonard TR. Force enhancement following stretching of skeletal muscle: a new mechanism. J Exp Biol. 2002;205(Pt 9):1275-83.
  • 40
    Granzier HLM, Pollack GH. Effect of active pre-shortening on isometric and isotonic performance of single frog muscle fibres. J Physiol. 1989;415(1):299-327.
  • 41
    Herzog W, Leonard TR, Wu JZ. Force depression following skeletal muscle shortening is long lasting. J Biomech. 1998;31(12):1163-8.
  • 42
    Herzog W, Leonard TR. Reply from Walter Herzog (on behalf of the authors) and Tim Leonard. J Physiol. 2007;578(2):617-20.
  • 43
    Maréchal G, Plaghki L. The deficit of the isometric tetanic tension redeveloped after a release of frog muscle at a constant velocity. J Gen Physiol. 1979;73 (4):453-67.
  • 44
    Daniel TL, Trimble AC, Chase PB. Compliant realignment of binding sites in muscle: transient behavior and mechanical tuning. Biophys J. 1998;74(4):1611-21.
  • 45
    Goldman YE, Huxley AF. Actin compliance: are you pulling my chain? Biophys J. 1994;67(6):2131-6.
  • 46
    Kojima H, Ishijima A, Yanagida T. Direct measurement of stiffness of single actin filaments with and without tropomyosin by in vitro nanomanipulation. Proc Natl Acad USA. 1994;91(26):12962-6.
  • 47
    Higuchi H, Yanagida T, Goldman YE. Compliance of thin filaments in skinned fibers of rabbit skeletal muscle. Biophys J. 1995;69(3):1000-10.
  • 48
    Wakabayashi K, Yasunobu S, Tanaka H, Yutaka U, Takezawa Y, Amemiya Y. X-ray diffraction evidence for the extensibility of actin and myosin filaments during muscle contraction. Biophys J. 1994;67(6):2422-35.
  • 49
    Forcinito M, Epstein M, Herzog W. Theoretical considerations on myofibril stiffness. Biophys J. 1997; 72(3):1278-86.
  • 50
    Orlova A, Egelman EH. F-actin retains a memory of angular order. Biophys J. 2000;78(4):2180-5.
  • 51
    Julian FJ, Morgan DL. The effect on tension of non-uniform distribution of length changes applied to frog muscle fibres. J Physiol. 1979;293(1):379-92.
  • 52
    Rassier DE, Herzog W, Pollack GH. Dynamics of individual sarcomeres during and after stretch in activated single myofibrils. Proc R Soc Lond B. 2003; 270(1525):1735-40.
  • 53
    Telley A, Stehle R, Ranatunga KW, Pfitzer G, Stüssi E, Denoth J. Dynamic behavior of half-sarcomeres during and after stretch in activated rabbit psoas myofibrils: sarcomere asymmetry but not ‘sarcomere popping’. J Physiol. 2006;573(1):173-85.
  • 54
    Telley A, Denoth J. Sarcomere dynamics during muscular contraction and their implications to muscle function. J Muscle Res Cell Motil. 2007;28(1):89-104.
  • 55
    Julian FJ, Moss RL. Effects of calcium and ionic strength on shortening velocity and tension development in frog skinned muscle fibres. J Physiol. 1981; 311(1):179-99.
  • 56
    Iwazumi T, Pollack GH. The effect of sarcomere non-uniformity on the sarcomere length-tension relationship of skinned fibers. J Cell Physiol. 1981; 106(3):321-37.
  • 57
    Lännergren J, Westerblad H. Force decline due to fatigue and intracellular acidification in isolated fibres from mouse skeletal muscle. J Physiol. 1991; 434(1):307-22.
  • 58
    Balnave CD, Allen DG. Intracellular calcium and force in single mouse muscle fibres following repeated contractions with stretch. J Physiol. 1995;488(1):25-36.
  • 59
    Tupling R, Green H, Grant S, Burnett M, Ranney D. Postcontractile force depression in humans is associated with an impairment of SRCa2+ pump function. Am J Physiol Regulatory Integrative Comp Physiol. 2000;278(1):R87-94.
  • 60
    Kabbara AA, Allen DG. The role of calcium stores in fatigue of isolated single muscle fibres from the cane toad. J Physiol. 1999;519(1):169-76.
  • 61
    Allen DG, Westerblad H. Role of phosphate and calcium stores in muscle fatigue. J Physiol. 2001; 536(3):657-65.
  • 62
    Allen DG, Lamb GD, Westerblad H. Impaired calcium release during fatigue. J Appl Physiol. 2008;104(1): 296-305.
  • 63
    Bagni MA, Colombini B, Geiger P, Berlinguer Palmini R, Cecchi G. Non-cross-bridges calcium-dependent stiffness in frog muscle fibers. Am J Physiol Cell Physiol. 2004;286(6):C1353-7.
  • 64
    Labeit D, Watanabe K, Witt C, Fujita H, Wu Y, Lahmers S, et al. Calcium-dependent molecular spring elements in the giant protein titin. Proc Natl Acad Sci. 2003; 100(23):13716-21.
  • 65
    Rassier DE, Lee EJ, Herzog W. Modulation of passive force in single skeletal muscle fibres. Biol Lett. 2005;1(3):342-5.
  • 66
    Herzog W, Lee EJ, Rassier DE. Residual force enhancement in skeletal muscle. J Physiol. 2006;574(3):635-42.
  • 67
    Herzog W, Leonard TR. The role of passive structures in force enhancement of skeletal muscle following active stretch. J Biomech. 2005;38(3):409-15.
  • 68
    De Tombe PP, Belus A, Piroddi N, Scellini B, Walker JS, Martin AF, et al. Myofilament calcium sensitivity does not affect cross-bridge activation-relaxation kinetics. Am J Physiol Regul Integr Comp Physiol. 2007; 292(3): R1129-36.
  • 69
    Moreno-Gonzalez A, Gillis TE, Rivera AJ, Bryant Chase P, Martyn DA, Regnier M. Thin-filament regulation of force redevelopment kinetics in rabbit skeletal muscle fibres. J Physiol. 2007;579(2):313-26.
  • 70
    Kreutziger KL, Piroddi N, Scellini B, Tesi C, Poggesi C, Regnier M. Thin filament Ca2+ binding properties and regulatory unit interactions alter kinetics tension development and relaxation in rabbit skeletal muscle. J Physiol. 2008;586(15):3683-700.
  • 71
    Stienen GJ, Roosemalen MC, Wilson MG, Elzinga G. Depression force by phosphate in skinned skeletal muscle fibers of the frog. Am J Physiol Cell Physiol. 1990;259 (2 Pt 1):C349-57.
  • 72
    Ebus JP, Stienen GJM, Elzinga G. Influence of phosphate and pH on myofibrillar ATPase activity and force in skinned cardiac trabeculae from rat. J Physiol. 1994;476(3):501-16.
  • 73
    Potma EJ, van Graas A, Stienen GJM. Influence of inorganic phosphate and pH on ATP utilization in fast and slow skeletal muscle fibers. Biophys J. 1995; 69(6): 2580-9.
  • 74
    Stienen GJM, Papp Z, Zaremba R. Influence of inorganic phosphate and pH on sarcoplasmic reticular ATPase in skinned muscle fibres of Xenopus Laevis. J Physiol. 1999;518(3):735-44.
  • 75
    Tesi C, Colomo F, Nencini S, Piroddi N, Poggesi C. The effect of inorganic phosphate on force generation in single myofibrils from rabbit skeletal muscle. Biophys J. 2000;78(6):3081-92.
  • 76
    Dahlstedt AJ, Katz A, Westerblad H. Role of myoplasmic phosphate in contractile function of skeletal muscle: studies on creatine kinase-deficient mice. J Physiol. 2001;533(2):379-88.
  • 77
    Edman KPA, Reggiani C. Redistribution of sarcomere length during isometric contraction of frog muscle fibres and its relation to tension creep. J Physiol. 1984;351(1):169-98.
  • 78
    Edman KPA, Tsuchiya T. Strain of passive elements during force enhancement by stretch in frog muscle fibres. J Physiol. 1996;490(1):191-205.
  • 79
    Herzog W, Schachar R, Leonard TR. Characterization of the passive component of force enhancement following active stretching of skeletal muscle. J Exp Biol. 2003;206(Pt 20):3635-43.
  • 80
    Peterson DR, Rassier DE, Herzog W. Force enhancement in single skeletal muscle fibres on the ascending limb of force-length relationship. J Exp Biol. 2004;207(Pt 16):2787-91.
  • 81
    Pun C, Syed A, Rassier DE. History-dependent properties of muscle myofibrils contracting along the ascending limb of the force-length relationship. Proc R Soc Lond B. 2010;277(1680):475-84.
  • 82
    Morgan DL. An explanation for residual increased tension in striated muscle after stretch during contraction. Exp Physiol. 1994;79(5):831-8.
  • 83
    Morgan DL, Proske U. Popping sarcomere hypothesis explains stretch induced muscle damage. Proc Aus Physiol Pharmac Soc. 2004;34:19-23.
  • 84
    Butterfield TA, Leonard TR, Herzog W. Differential serial sarcomere number adaptations in knee extensor muscles of rats in contraction type dependent. J Appl Physiol. 2005;99(4):1352-8.
  • 85
    Lee EJ, Herzog W. Residual force enhancement exceeds the isometric force at optimal sarcomere length for optimized stretch conditions. J Appl Physiol. 2008; 105(2):457-62.
  • 86
    Lynn R, Morgan DL. Decline running produces more sarcomeres in rat vastus intermedius muscle fibers than does incline running. J Appl Physiol. 1994; 77(3):1439-44.
  • 87
    Lynn R, Talbot JA, Morgan DL. Differences in rat skeletal muscles after incline and decline running. J Appl Physiol. 1998;85(1):98-104.
  • 88
    Nobrega ACL. The subacute effects of exercise: concept, characteristics and clinical implications. Exerc Sport Sci Rev. 2005;33(2):84-87.
  • 89
    Rassier DE, Herzog W. Active force inhibition and stretch induced force enhancement in frog muscle treated with BDM. J Appl Physiol. 2004;97(4): 1395-400.
  • 90
    Rassier DE, Herzog W. Relationship between force and stiffness in muscle fibers after stretch. J Appl Physiol. 2005;99(5):1769-75.
  • 91
    Rassier DE, Herzog W. Force enhancement and relaxation rates after stretch of activated muscle fibres. Proc R Soc Lond B. 2005;272 (1562):475-80.
  • 92
    Lee EJ, Joumaa V, Herzog W. New insights into the passive force enhancement in skeletal muscles. J Biomech. 2007;40(4):719-27.
  • 93
    Joumaa V, Rassier DE, Leonard TR, Herzog W. The origin of passive force enhancement in skeletal muscle. Am J Physiol Cell Physiol. 2008;294(1):C74-8.
  • 94
    Kellermayer MSZ, Granzier HL. Elastic properties of single titin molecules made visible through fluorescent F-actin binding. Biochem Biophys Res Com. 1996;221(3):491-7.
  • 95
    Fukuda N, Granzier HL, Ishiwata S, Kurihara S. Physiological functions of the giant elastic protein titin in mammalian striated muscle. J Physiol Sci. 2008; 58(3):151-9.
  • 96
    Horowits R. Passive force generation and titin isoforms in mammalian skeletal muscle. Biophys J. 1992; 61(2):392-8.
  • 97
    Bagni MA, Cecchi G, Colomo F, Garzella P. Development of stiffness precedes cross-bridge attachment during the early tension rise in single frog muscle fibres. J Physiol. 1994;481(2):273-8.

Publication Dates

  • Publication in this collection
    jan-mar 2014

History

  • Received
    16 July 2013
  • Accepted
    05 Jan 2014
Pontifícia Universidade Católica do Paraná Rua Imaculada Conceição, 1155 - Prado-Velho -, Curitiba - PR - CEP 80215-901, Telefone: (41) 3271-1608 - Curitiba - PR - Brazil
E-mail: revista.fisioterapia@pucpr.br