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Failure rates of miniscrews inserted in the maxillary tuberosity

ABSTRACT

Introduction:

Anchorage conservation in orthodontics has always been a challenge.

Objective:

The aim of this current study was to find out the failure rate of miniscrews inserted in the maxillary tuberosity (MT) region.

Methods:

This pilot study consisted of 40 patients (23 female, 17 male; mean age = 20.1±8.9 years) that had received 60 MT miniscrews for orthodontic treatment. Clinical notes and pictures were used to find out the primary outcome of miniscrew failure. Independent failure factors were also investigated. Logistic regression analysis was done for predictor’s relation with MT miniscrews failure.

Results:

There was no significant correlation in failure rate according to various predictor variables, except for miniscrews installed by lesser experienced operators, which showed significantly more failure. The odds ratio for miniscrew failure placed by inexperienced operators was 4.16.

Conclusion:

A 26.3% failure rate of mini-implants inserted in the MT region was observed.

Keywords:
Tuberosity; Miniscrews; Failure.

RESUMO

Introdução:

a manutenção da ancoragem sempre foi um desafio na Ortodontia.

Objetivo:

o objetivo do presente estudo foi descobrir a taxa de falhas dos mini-implantes instalados na região da tuberosidade maxilar (TM).

Métodos:

o presente estudo piloto avaliou 40 pacientes (23 mulheres, 17 homens; idade média = 20,1 ± 8,9 anos) que receberam 60 mini-implantes na TM durante o tratamento ortodôntico. Anotações clínicas e fotografias foram usadas para investigar o principal motivo para a falha do mini-implante. Fatores de insucesso independentes também foram investigados. Uma análise de regressão logística foi realizada para medir o impacto de cada fator preditivo sobre a falha na instalação dos mini-implantes na TM.

Resultados:

as diferentes variáveis preditivas não demonstraram correlação significativa com a taxa de falhas, com exceção da instalação dos mini-implantes realizada por operadores inexperientes, que mostrou quantidade significativamente maior de falhas. A razão de chances para a falha dos mini-implantes instalados por operadores inexperientes foi de 4,16.

Conclusão:

observou-se uma taxa de falhas de 26,3% para os mini-implantes instalados na região da TM.

Palavras-chave:
Tuberosidade; Mini-implantes; Falhas

INTRODUCTION

Anchorage preservation has always been a challenging goal during orthodontic therapy,11 Ganzer N, Feldmann I, Petrén S, Bondemark L. A cost-effectiveness analysis of anchorage reinforcement with miniscrews and molar blocks in adolescents: a randomized controlled trial. Eur J Orthod. 2019 Mar 29;41(2):180-7. especially when simultaneous movement of group of teeth are planned. Extraoral appliances and intraoral elastics have conventionally been used, despite the compliance issue of extraoral bulky appliances,22 Chen M, Li ZM, Liu X, Cai B, Wang DW, Feng ZC. Differences of treatment outcomes between self-ligating brackets with microimplant and headgear anchorages in adults with bimaxillary protrusion. Am J Orthod Dentofacial Orthop. 2015 Apr 1;147(4):465-71.-33 Esenlik E, Aglarci C, Albayrak GE, Findik Y. Maxillary protraction using skeletal anchorage and intermaxillary elastics in Skeletal Class III patients. Korean J Orthod. 2015 Mar;45(2):95-101. the adverse effects of anterior teeth extrusion and disruption of the occlusal plane from intraoral elastics.

Orthodontic anchorage preservation has always been a challenging goal, especially when movement of anterior teeth are planned in the presence of inadequate posterior dentition for orthodontic anchorage (e.g.: partial edentulism44 Huang LH, Shotwell JL, Wang HL. Dental implants for orthodontic anchorage. Am J Orthod Dentofacial Orthop. 2005 June 1;127(6):713-22.), where one of the possible miniscrew insertion sites in those cases includes the maxillary tuberosity (MT).55 Sada GV. Simultaneous intrusion and distalization using miniscrews in the maxillary tuberosity. J Clin Orthod. 2016 Oct;50(10):605. Even though the cortical bone is thin and density in the MT region is not ideal,66 Poggio PM, Incorvati C, Velo S, Carano A. "Safe zones": a guide for miniscrew positioning in the maxillary and mandibular arch. Angle Orthod. 2006 Mar;76(2):191-7. the advantages of miniscrew placement at the MT region are: minimal risk of damage to molar roots and neurovasculature, which in turn expands the range of orthodontic tooth movement, especially for en-masse distalization and en-masse retraction of the maxillary teeth.77 Nakao N, Kitaura H, Koga Y, Yoshida N. Application of a mini-screw at the maxillary tubercle for treatment of maxillary protrusion. Orthodontic waves. 2008 June 1;67(2):72-80.

8 Venkateswaran S, Rao V, Krishnaswamy NR. En-masse retraction using skeletal anchorage in the tuberosity and retromolar region. J Clin Orthod. 2011 May;45(5):268-73.
-99 Venkateswaran S, George AM, Anand MK, Devi VS, Vora SR, Krishnaswamy NR. Skeletal anchorage using mini-implants in the maxillary tuberosity region. J Indian Orthod Soc. 2013 Oct 1;47(4):217.

Miniscrews can be labelled as successful if they remain functionally stable in jaw bones until the end of treatment or until intentional removal.1010 Kim JW, Lee NK, Sim HY, Yun PY, Lee JH. Failure of orthodontic mini-screws by patient age, sex, and arch; number of primary insertions; and frequency of reinsertions after failure: an analysis of the screw failure rate and patient failure rate. Int J Periodont Restorative Dent. 2016;36(4):559. Meanwhile, miniscrews are labelled as failed if they had any discernible mobility or had become loose during orthodontic treatment.1111 Dalessandri D, Salgarello S, Dalessandri M, Lazzaroni E, Piancino M, Paganelli C, et al. DeteMTinants for success rates of temporary anchorage devices in orthodontics: a meta-analysis (n> 50). Eur J Orthod. 2014 June;36(3):303-13.,1212 Rodriguez JC, Suarez F, Chan HL, Padial-Molina M, Wang HL. Screws for orthodontic anchorage: success rates and reasons of failures. Screw Dent. 2014 Apr 1;23(2):155-61. There are various factors reported in literature that affect success and failure of miniscrews in the short and long term.1313 Cunha AC, Marquezan M, Lima I, Lopes RT, Nojima LI, Sant'Anna EF. Influence of bone architecture on the primary stability of different mini-screw designs. Am J Orthod Dentofacial Orthop. 2015 Jan 31;147(1):45-51.

Studies are present on the success rate of dental implants placed at MT region,1414 Silva VF, Santiago JF, Panzarini SR, Pellizzer EP. Placement of dental implants in the maxillary tuberosity: a systematic review. Int J Oral Maxillofac Surg. 2015 Feb 1;44(2):229-38. but there is lack of literature regarding failure rate of miniscrews inserted in the MT area. Therefore, the aim of the current study was to investigate the failure rates of miniscrews inserted in the MT region, and to evaluate the associated factors. The null hypothesis was that failure rate of miniscrews inserted in the MT area are independent to the tested factors.

MATERIAL AND METHODS

This retrospective pilot study was conducted after ethics approval of Faisalabad Medical University, and involved records of orthodontic patients from July 2012 to July 2018. Inclusion criteria were: All patients had received MT miniscrews (8 mm & 10mm long, 1.3 mm & 1.5mm in diameter),1515 Romano FL, Consolaro A. Why are mini-implants lost: The value of the implantation technique! Dental Press J Orthod. 2015 Feb;20(1):23-9.,1616 Sung JH, Kyung HM, Bae SM, Park HS, Kwon OW, McNamara JA Jr. Microimplants in Orthodontics. Daegu, Korea: Dentos; 2006, p. 70. had complete orthodontic records, had updated record status of the miniscrews throughout the treatment in clinical notes, missing maxillary third molars, and had insignificant medical/drug history and non-smokers. Data of 40 patients (23 female, 17 male; mean age = 20.1±8.9 years) who had 60 MT miniscrews inserted and met the inclusion criteria, were included (Table 1).

Table 1
Failure rates of MT miniscrews by features of orthodontic patients.

All the miniscrews were placed by self-tapping method, under local anaesthesia at an angulation of 20-40 degrees to the occlusal plane vertically (Fig 1), by two types of operators: 27 miniscrews by an expert operator and 33 miniscrews by inexperienced post-graduate residents under supervision. All the MT miniscrews were used for the maxillary molar distalization, and immediate orthodontic loading (100-150 g) was applied from miniscrews by elastomerics or using nickel-titanium coil springs (12 mm).

Figure 1
Miniscrew inserted in the maxillary tuberosity region.

Based on the intraoral photographs and clinical file notes, subjects were divided into the following groups: good or poor oral hygiene, and presence or absence of inflammation. Clinical notes and photographs were used to find out the primary outcome of miniscrew failure, and independent failure factors were also investigated as predictors of miniscrew failure (Table 1).

After insertion, primary stability was evaluated by an expert operator, with cotton tweezers. Miniscrews were labelled as successful if they remained functionally stable in MT until the end of treatment or until intentional removal, while miniscrews were labelled as failed if they had any discernible mobility or had become loose during orthodontic treatment.1010 Kim JW, Lee NK, Sim HY, Yun PY, Lee JH. Failure of orthodontic mini-screws by patient age, sex, and arch; number of primary insertions; and frequency of reinsertions after failure: an analysis of the screw failure rate and patient failure rate. Int J Periodont Restorative Dent. 2016;36(4):559.

11 Dalessandri D, Salgarello S, Dalessandri M, Lazzaroni E, Piancino M, Paganelli C, et al. DeteMTinants for success rates of temporary anchorage devices in orthodontics: a meta-analysis (n> 50). Eur J Orthod. 2014 June;36(3):303-13.
-1212 Rodriguez JC, Suarez F, Chan HL, Padial-Molina M, Wang HL. Screws for orthodontic anchorage: success rates and reasons of failures. Screw Dent. 2014 Apr 1;23(2):155-61. Vertical analysis was done using measurement of mandibular plane angle (MPA) at pre-treatment cephalograms.

Statistical analysis

The primary outcome of MT miniscrew failure was analyzed as a binomial variable (Failure: yes/no), and simple descriptive statistics were applied to calculate the failure rates across various predictor factors (Table 1). Logistic regression analysis was used to predict the impact of each variable in relation to the outcome of MT miniscrew failure. The regression models were fit using generalized estimating equations method. Odds ratio (relative risk) was measured for each failure factor.

RESULTS

Analysis of predictor variables showed that there was insignificant correlation in failure rate according to various predictor variables, except for the experience of the operator, where the less-experienced operators showed significantly more miniscrew failure (Table 1).

The results of the logistic regression analyses are shown in Table 2. The odds ratio for miniscrew failure placed by inexperienced operators was 4.16 (Table 3). The overall failure rate was 26.3.1% for MT miniscrews. Average mandibular plane angle (MPA) of sample was 41.3 ± 4.01o at pre-treatment.

Table 2
Logistic regression analysis

Table 3
Odds ratio for failure of MT miniscrews.

DISCUSSION

Nakao et al.77 Nakao N, Kitaura H, Koga Y, Yoshida N. Application of a mini-screw at the maxillary tubercle for treatment of maxillary protrusion. Orthodontic waves. 2008 June 1;67(2):72-80. showed that for orthodontic anchorage, maxillary tuberosity is a good site for insertion of a miniscrew, if there is enough space for its insertion. A systematic review on the success rate of dental implants placed at MT region showed an overall survival rate of 94.63%,1414 Silva VF, Santiago JF, Panzarini SR, Pellizzer EP. Placement of dental implants in the maxillary tuberosity: a systematic review. Int J Oral Maxillofac Surg. 2015 Feb 1;44(2):229-38. but there is lack of literature evidence regarding failure rate of orthodontic miniscrews inserted in the MT site. Therefore, the aim of the present study was to investigate the failure rates of miniscrews inserted in the MT region of the maxilla and to evaluate the associated factors.

One key variable responsible for initial stability of miniscrews is vertical growth pattern. High angle subjects were found to have reduced cortical bone density and thickness, which may influence initial stability of the miniscrews.1717 Ozdemir F, Tozlu M, Germec-Cakan D. Cortical bone thickness of the alveolar process measured with cone-beam computed tomography in patients with different facial types. Am J Orthod Dentofacial Orthop. 2013;143(2):190-6. Low angle subjects were found to have increased cortical bone density and thickness than other vertical types.1818 Masumoto T, Hayashi I, Kawamura A, Tanaka K, Kasai K. Relationships among facial type, buccolingual molar inclination, and cortical bone thickness of the mandible. Eur J Orthod. 2001 Feb 1;23(1):15-23.,1919 Sato H, Kawamura A, Yamaguchi M, Kasai K. Relationship between masticatory function and internal structure of the mandible based on computed tomography findings. Am J Orthod Dentofacial Orthop. 2005 Dec 31;128(6):766-73. Moon et al2020 Moon CH, Park HK, Nam JS, Im JS, Baek SH. Relationship between vertical skeletal pattern and success rate of orthodontic mini-screws. Am J Orthod Dentofacial Orthop. 2010;138(1):51-7. found a failure rate (23%) for interradicular miniscrews in high angle patients similar to the failure rate (26%) for MT miniscrews in patients of the present study, in which sample the mean mandibular plane angle (MPA) was 41.3 ± 4.01o at pre-treatment.

In the present study, as all the miniscrews were inserted with the same technique, the influence of surgical factors on the failure of the miniscrews was not investigated, except the factor of operator experience - which was the only factor significantly associated with the failure of miniscrews in the present study. Miniscrews on the right side of the jaw had a insignificantly higher failure rate, which may be due to better hygiene on the left side of the dentition by right-handed patients, who present the majority of the population.2121 Park HS. Clinical study on success rate of microscrew screws for orthodontic anchorage. Korean J Orthod. 2003 June 1;33(3):151-6.,2222 Park HS, Jeong SH, Kwon OW. Factors affecting the clinical success of screw screws used as orthodontic anchorage. Am J Orthod Dentofacial Orthop. 2006 July;130(1):18-25. Good oral hygiene may also reduce inflammation around the miniscrews. In this study, oral hygiene and inflammation did not affect the failure rate.

In this study, the mean duration of force application to the miniscrews was 58 weeks, which covered the critical time period of 40-48 weeks2121 Park HS. Clinical study on success rate of microscrew screws for orthodontic anchorage. Korean J Orthod. 2003 June 1;33(3):151-6.. Sung et al1616 Sung JH, Kyung HM, Bae SM, Park HS, Kwon OW, McNamara JA Jr. Microimplants in Orthodontics. Daegu, Korea: Dentos; 2006, p. 70. recommended using a relatively long miniscrew with a diameter of 1.3 - 1.5 mm in atypical sites like MT.Lee and Baek2323 Lee NK, Baek SH. Effects of the diameter and shape of orthodontic mini-implants on microdamage to the cortical bone. Am J Orthod Dentofacial Orthop. 2010 July 1;138(1):8-e1. showed that miniscrews with a diameter of 1.5mm or more can cause greater trauma to the cortical bone, with a negative effect on alveolar bone remodeling and miniscrew stability. Therefore, we chose subjects having MT miniscrew with a diameter of 1.3 to 1.5 mm and a length of 8 to 10mm, which is in accordance with other available studies on MT miniscrews.99 Venkateswaran S, George AM, Anand MK, Devi VS, Vora SR, Krishnaswamy NR. Skeletal anchorage using mini-implants in the maxillary tuberosity region. J Indian Orthod Soc. 2013 Oct 1;47(4):217.,1616 Sung JH, Kyung HM, Bae SM, Park HS, Kwon OW, McNamara JA Jr. Microimplants in Orthodontics. Daegu, Korea: Dentos; 2006, p. 70.,2323 Lee NK, Baek SH. Effects of the diameter and shape of orthodontic mini-implants on microdamage to the cortical bone. Am J Orthod Dentofacial Orthop. 2010 July 1;138(1):8-e1.

The findings of the present study showed that MT miniscrews have lower success rate (73.7%) than that of the miniscrew inserted at other intraoral sites. This is in agreement with Venkateswaran et al,88 Venkateswaran S, Rao V, Krishnaswamy NR. En-masse retraction using skeletal anchorage in the tuberosity and retromolar region. J Clin Orthod. 2011 May;45(5):268-73.,99 Venkateswaran S, George AM, Anand MK, Devi VS, Vora SR, Krishnaswamy NR. Skeletal anchorage using mini-implants in the maxillary tuberosity region. J Indian Orthod Soc. 2013 Oct 1;47(4):217. who found that MT miniscrews show comparatively high failure rates. A 21.8% failure rate of miniscrews inserted in the infrazygomatic area was found in recently conducted study,2424 Uribe F, Mehr R, Mathur A, Janakiraman N, Allareddy V. Failure rates of mini-implants placed in the infrazygomatic region. Progr Orthod. 2015 Dec;16(1):31. and another study found a 7% failure rate of miniscrews inserted in the extra-alveolar buccal shelf area.2525 Chang C, Liu SS, Roberts WE. Primary failure rate for 1680 extra-alveolar mandibular buccal shelf mini-screws placed in movable mucosa or attached gingiva. Angle Orthod. 2015 Jan 20;85(6):905-10. The median failure risk of palatal miniscrews was 6.1% in a recently conducted study.2626 Kakali L, Alharbi M, Pandis N, Gkantidis N, Kloukos D. Success of palatal implants or mini-screws placed median or paramedian for the reinforcement of anchorage during orthodontic treatment: a systematic review. Eur J Orthod. 2019 Jan 23;41(1):9-20. In a recently conducted systematic review, the overall failure rate of miniscrews was 13.5%.2727 Alharbi F, Almuzian M, Bearn D. Miniscrews failure rate in orthodontics: systematic review and meta-analysis. Eur J Orthod. 2018 Sept 28;40(5):519-30.

Although these were consecutively placed miniscrews, the main limitation of this study is its retrospective design, with associated risk of reporting and selection bias. Other limitations are sample size, lack of blinding, and the use of variable implants/conditions throughout the cases (variable lengths, diameters, etc). However, despite all these limitations, the present study provided literature for expected success rate of MT miniscrews and showed that in order to minimize the MT miniscrew failure, experienced clinicians should attempt its insertion. Further large scale prospective studies with improved methodology are suggested.

CONCLUSION

  • » A 26.3% failure rate of mini-implants inserted in the MT region was observed.

  • » Mini-implants were more successful when inserted in the MT region by experienced operators.

REFERENCES

  • 1
    Ganzer N, Feldmann I, Petrén S, Bondemark L. A cost-effectiveness analysis of anchorage reinforcement with miniscrews and molar blocks in adolescents: a randomized controlled trial. Eur J Orthod. 2019 Mar 29;41(2):180-7.
  • 2
    Chen M, Li ZM, Liu X, Cai B, Wang DW, Feng ZC. Differences of treatment outcomes between self-ligating brackets with microimplant and headgear anchorages in adults with bimaxillary protrusion. Am J Orthod Dentofacial Orthop. 2015 Apr 1;147(4):465-71.
  • 3
    Esenlik E, Aglarci C, Albayrak GE, Findik Y. Maxillary protraction using skeletal anchorage and intermaxillary elastics in Skeletal Class III patients. Korean J Orthod. 2015 Mar;45(2):95-101.
  • 4
    Huang LH, Shotwell JL, Wang HL. Dental implants for orthodontic anchorage. Am J Orthod Dentofacial Orthop. 2005 June 1;127(6):713-22.
  • 5
    Sada GV. Simultaneous intrusion and distalization using miniscrews in the maxillary tuberosity. J Clin Orthod. 2016 Oct;50(10):605.
  • 6
    Poggio PM, Incorvati C, Velo S, Carano A. "Safe zones": a guide for miniscrew positioning in the maxillary and mandibular arch. Angle Orthod. 2006 Mar;76(2):191-7.
  • 7
    Nakao N, Kitaura H, Koga Y, Yoshida N. Application of a mini-screw at the maxillary tubercle for treatment of maxillary protrusion. Orthodontic waves. 2008 June 1;67(2):72-80.
  • 8
    Venkateswaran S, Rao V, Krishnaswamy NR. En-masse retraction using skeletal anchorage in the tuberosity and retromolar region. J Clin Orthod. 2011 May;45(5):268-73.
  • 9
    Venkateswaran S, George AM, Anand MK, Devi VS, Vora SR, Krishnaswamy NR. Skeletal anchorage using mini-implants in the maxillary tuberosity region. J Indian Orthod Soc. 2013 Oct 1;47(4):217.
  • 10
    Kim JW, Lee NK, Sim HY, Yun PY, Lee JH. Failure of orthodontic mini-screws by patient age, sex, and arch; number of primary insertions; and frequency of reinsertions after failure: an analysis of the screw failure rate and patient failure rate. Int J Periodont Restorative Dent. 2016;36(4):559.
  • 11
    Dalessandri D, Salgarello S, Dalessandri M, Lazzaroni E, Piancino M, Paganelli C, et al. DeteMTinants for success rates of temporary anchorage devices in orthodontics: a meta-analysis (n> 50). Eur J Orthod. 2014 June;36(3):303-13.
  • 12
    Rodriguez JC, Suarez F, Chan HL, Padial-Molina M, Wang HL. Screws for orthodontic anchorage: success rates and reasons of failures. Screw Dent. 2014 Apr 1;23(2):155-61.
  • 13
    Cunha AC, Marquezan M, Lima I, Lopes RT, Nojima LI, Sant'Anna EF. Influence of bone architecture on the primary stability of different mini-screw designs. Am J Orthod Dentofacial Orthop. 2015 Jan 31;147(1):45-51.
  • 14
    Silva VF, Santiago JF, Panzarini SR, Pellizzer EP. Placement of dental implants in the maxillary tuberosity: a systematic review. Int J Oral Maxillofac Surg. 2015 Feb 1;44(2):229-38.
  • 15
    Romano FL, Consolaro A. Why are mini-implants lost: The value of the implantation technique! Dental Press J Orthod. 2015 Feb;20(1):23-9.
  • 16
    Sung JH, Kyung HM, Bae SM, Park HS, Kwon OW, McNamara JA Jr. Microimplants in Orthodontics. Daegu, Korea: Dentos; 2006, p. 70.
  • 17
    Ozdemir F, Tozlu M, Germec-Cakan D. Cortical bone thickness of the alveolar process measured with cone-beam computed tomography in patients with different facial types. Am J Orthod Dentofacial Orthop. 2013;143(2):190-6.
  • 18
    Masumoto T, Hayashi I, Kawamura A, Tanaka K, Kasai K. Relationships among facial type, buccolingual molar inclination, and cortical bone thickness of the mandible. Eur J Orthod. 2001 Feb 1;23(1):15-23.
  • 19
    Sato H, Kawamura A, Yamaguchi M, Kasai K. Relationship between masticatory function and internal structure of the mandible based on computed tomography findings. Am J Orthod Dentofacial Orthop. 2005 Dec 31;128(6):766-73.
  • 20
    Moon CH, Park HK, Nam JS, Im JS, Baek SH. Relationship between vertical skeletal pattern and success rate of orthodontic mini-screws. Am J Orthod Dentofacial Orthop. 2010;138(1):51-7.
  • 21
    Park HS. Clinical study on success rate of microscrew screws for orthodontic anchorage. Korean J Orthod. 2003 June 1;33(3):151-6.
  • 22
    Park HS, Jeong SH, Kwon OW. Factors affecting the clinical success of screw screws used as orthodontic anchorage. Am J Orthod Dentofacial Orthop. 2006 July;130(1):18-25.
  • 23
    Lee NK, Baek SH. Effects of the diameter and shape of orthodontic mini-implants on microdamage to the cortical bone. Am J Orthod Dentofacial Orthop. 2010 July 1;138(1):8-e1.
  • 24
    Uribe F, Mehr R, Mathur A, Janakiraman N, Allareddy V. Failure rates of mini-implants placed in the infrazygomatic region. Progr Orthod. 2015 Dec;16(1):31.
  • 25
    Chang C, Liu SS, Roberts WE. Primary failure rate for 1680 extra-alveolar mandibular buccal shelf mini-screws placed in movable mucosa or attached gingiva. Angle Orthod. 2015 Jan 20;85(6):905-10.
  • 26
    Kakali L, Alharbi M, Pandis N, Gkantidis N, Kloukos D. Success of palatal implants or mini-screws placed median or paramedian for the reinforcement of anchorage during orthodontic treatment: a systematic review. Eur J Orthod. 2019 Jan 23;41(1):9-20.
  • 27
    Alharbi F, Almuzian M, Bearn D. Miniscrews failure rate in orthodontics: systematic review and meta-analysis. Eur J Orthod. 2018 Sept 28;40(5):519-30.
  • 3
    » Patients displayed in this article previously approved the use of their facial and intraoral photographs.

Publication Dates

  • Publication in this collection
    11 Nov 2019
  • Date of issue
    Sep-Oct 2019

History

  • Received
    17 Aug 2018
  • Accepted
    28 Dec 2018
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