Применение гиперупругих моделей для описания поведения разных областей овечьего сердца на основе двухосных механических испытаний

Автор: Немавхола Ф., Панделани Т., Нгвангва Г.

Журнал: Российский журнал биомеханики @journal-biomech

Статья в выпуске: 2 (96) т.26, 2022 года.

Бесплатный доступ

Сердечная недостаточность остается одной из самых распространенных причин смерти во всем мире, особенно среди людей старше 60 лет. Чтобы разработать и подобрать подходящие материалы для замены тканей сердца с целью эффективного лечения, необходимо понять биомеханику сердца при нагрузке. В работе исследуется механический отклик пассивного миокарда овцы, полученного из трех разных областей сердца. Так как стоимость модели сердца живого животного высока, а проведение экспериментальных исследований требует прохождения строгой этической экспертизы, авторы оценивают соответствие шести различных гиперупругих моделей по механическим испытаниям ткани пассивного миокарда. Использованы образцы сердечной ткани 10 овец, которые в течение 3 часов после смерти были доставлены в лабораторию для биомеханических испытаний. Верхние области сердца над короткой осью были аккуратно изъяты. Образцы тканей были взяты из центральных областей левого и правого желудочков, межжелудочковой перегородки. Затем эпикард и эндокард осторожно срезали, чтобы выделить миокард. Были получены, обработаны и дискретизированы кривые «напряжения-деформации». Результаты показывают, что модели Чои-Вито и Фанга наилучшим образом подходят для левого желудочка, а модели Хольцапфеля (2000), Хольцапфеля (2005), полиномиальная (анизотропная) и four-fiber family - для правого желудочка.

Еще

Механика сердечной деятельности, экспериментальная механика, механика овечьего сердца, гиперупругие модели, подбор параметров моделей, механика мягких тканей, двухосевое механическое испытание

Короткий адрес: https://sciup.org/146282487

IDR: 146282487   |   УДК: 531/534:   |   DOI: 10.15593/RZhBiomeh/2022.2.02

Fitting of hyperelastic constitutive models in different sheep heart regions based on biaxial mechanical tests

Heart failure remains one of the leading causes of death especially among people over the age of 60 years worldwide. To develop effective therapy and suitable replacement materials for the heart muscle it is necessary to understand its biomechanical behaviour under load. This paper investigates the passive mechanical response of the sheep myocardia excised from three different regions of the heart. Due to the relatively higher cost and huge ethical demands in acquisition and testing of real animal heart models, this paper evaluates the fitting performances of six different constitutive models on the myocardial tissue responses. Ten sheep were sacrificed, and their hearts were excised and transported within 3 hours to the testing biomechanical laboratory. The upper sections of the hearts above the short axes were carefully dissected out. Tissues were dissected from the mid-sections of the left ventricle, mid-wall and right ventricle for each heart. The epicardia and endocardia were then carefully sliced off each tissue to leave the myocardia. Stress-strain curves were calculated, filtered and resampled. The results show that Choi-Vito model was found to provide the best fit to the left ventricle, the polynomial (anisotropic) model to right ventricle, the Four-Fiber Family model to right ventricle, Holzapfel (2000) to right ventricle, Holzapfel (2005) to right ventricle and the Fung model to left ventricle.

Еще

Список литературы Применение гиперупругих моделей для описания поведения разных областей овечьего сердца на основе двухосных механических испытаний

  • Ateshian G.A., Costa K.D. A frame-invariant formulation of Fung elasticity // Journal of Biomechanics. - 2009. -Vol. 42(6). - P. 781-785. DOI: https://doi.org/10.1016 /j.jbiomech.2009. 01.015
  • Baek, S., Gleasona R.L., Rajagopal K.R., Humphreya J.D. Theory of small on large: potential utility in computations of fluid-solid interactions in arteries // Computer Methods in Applied Mechanics and Engineering. - 2007. - Vol. 196(31-32). - P. 3070-3078. DOI: https://doi.org/10.1016 /j.cma.2006.06.018
  • Bursa, J., Skacel P., Zemanek M., Kreuter D. Implementation of hyperelastic models for soft tissues in FE program and identification of their parameters // Conference: Proceedings of the Sixth IASTED International Conference on Biomedical Engineering. -Innsbruck: Austria. - 2008.
  • Chagnon G., Rebouah M., Favier D. Hyperelastic energy densities for soft biological tissues: a review // Journal of Elasticity. - 2015. - Vol. 120(2). - P. 129-160. DOI: https://doi.org/10.1007/s10659-014-9508-z
  • Choi H.S., Vito R. Two-dimensional stress-strain relationship for canine pericardium // Journal of Biomechanical Engineering. - 1990. - Vol. 112(2). - P. 153-159. DOI: https://doi.org/10.1115/1.2891166
  • Chuong C., Fung Y. Three-dimensional stress distribution in arteries // Journal of Biomechanical Engineering. -1983. - Vol. 105(3). - P. 268-274. DOI: https://doi.org/ 10.1115/ 1.3138417
  • Dibb R., Qi Y., Liu C. Magnetic susceptibility anisotropy of myocardium imaged by cardiovascular magnetic resonance reflects the anisotropy of myocardial filament a-helix polypeptide bonds // Journal of Cardiovascular Magnetic Resonance. - 2015. - Vol. 17(1). - P. 1-14. DOI: https://doi.org/10.1186/s12968-015-0159-4
  • Ferruzzi J., Vorp D.A., Humphrey J. On constitutive descriptors of the biaxial mechanical behaviour of human abdominal aorta and aneurysms // Journal of the Royal Society Interface. - 2011. - Vol. 8(56). - P. 435-450. DOI: https://doi.org/10.1098/rsif.2010.0299
  • Fung Y.C. Biomechanics: mechanical properties of living tissues. - Springer Science & Business Media, 2013. -568 p.
  • Golob M., Moss R.L., Chesler N.C. Cardiac tissue structure, properties, and performance: a materials science perspective // Annals of Biomedical Engineering. - 2014. - Vol. 42(10). - P. 2003-2013. DOI: https://doi.org/ 10.1007 /s10439-014-1071-z
  • Holzapfel G.A., Gasser T.C., Ogden R.W. A new constitutive framework for arterial wall mechanics and a comparative study of material models // Journal of Elasticity and the Physical Science of Solids. - 2000. -Vol. 61(1). - P. 1-48. DOI: https://doi.org/10.1023 /A:1010835316564
  • Holzapfel G.A., Sommer G., Gasser C.T., Regitnig P. Determination of layer-specific mechanical properties of human coronary arteries with nonatherosclerotic intimal thickening and related constitutive modeling // American Journal of Physiology-Heart and Circulatory Physiology. - 2005. - Vol. 289(5). - P. H2048-H2058. DOI: https://doi.org /10.1152/ajpheart.00934.2004
  • Humphrey J.D. Continuum biomechanics of soft biological tissues // Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences. - 2003. - Vol. 459(2029). - P. 346. DOI: https://doi.org/ 10.1098/rspa.2002.1060
  • Hunter P.J., McCulloch A.D., Ter Keurs H.E.D.J. Modelling the mechanical properties of cardiac muscle // Progress in Biophysics and Molecular Biology. - 1998. -Vol. 69,(2-3). - P. 289-331. DOI: https://doi.org/10.1016 /S0079-6107(98)00013-3
  • Kakaletsis S., Meador W.D., Mathur M., Sugerman G.P., Jazwiec T., Malinowski M., Lejeune E., Timek T.A., Rausch M.K. Right ventricular myocardial mechanics: Multi-modal deformation, microstructure, modeling, and comparison to the left ventricle // Acta Biomaterialia. -2021. - Vol. 123. - P. 154-166. DOI: https://doi.org/ 10.1016/ j.actbio.2020.12.006
  • Laurence D., Ross C., Jett S., Johns C., Echols A., Baumwart R., Towner R., Liao J., Bajona P., Wu Y., Lee C.-H. An investigation of regional variations in the biaxial mechanical properties and stress relaxation behaviors of porcine atrioventricular heart valve leaflets // Journal of Biomechanics. - 2019. - Vol. 83. - P. 16-27. DOI: https://doi.org/10.1016/jjbiomech.2018.11.015
  • Li W. Biomechanics of infarcted left ventricle - A review of experiments // Journal of the Mechanical Behavior of Biomedical materials. - 2020. - Vol. 103. - P. 103591. DOI: https://doi.org/10.1016/j .jmbbm.2019.103591
  • Mas P.T., Rodríguez-Palomares J.F., Antunes M.J. Secondary tricuspid valve regurgitation: a forgotten entity // Heart. - 2015. - Vol. 101(22). - P. 1840-1848. DOI: https://doi.org/10.1136/ heartjnl-2014-307252
  • Masithulela F. Analysis of passive filling with fibrotic myocardial infarction // ASME International Mechanical Engineering Congress and Exposition. Conference proceedings. - Houston: USA, 2015. DOI: https://doi.org/ 10.1115/IMECE2015-50003
  • Masithulela F. The effect of over-loaded right ventricle during passive filling in rat heart: A biventricular finite element model // ASME International Mechanical Engineering Congress and Exposition. Conference proceedings. - Houston: USA, 2015. DOI: https://doi.org /10.1115/ IMECE2015-50004
  • Masithulela F. Bi-ventricular finite element model of right ventricle overload in the healthy rat heart // Bio-medical Materials and Engineering. - 2016. - Vol. 27(5). - P. 507-525. DOI: https://doi.org/10.3233/BME-161604
  • Masithulela F.J. Computational biomechanics in the remodelling rat heart post myocardial infarction. PhD thesis. - South Africa: Cape Town: University of Cape Town, 2016. - 233 p.
  • Ndlovu Z., Nemavhola F., Desai D. Biaxial mechanical characterization and constitutive modelling of sheep sclera soft tissue // Russian Journal of Biomechanics. - 2020. -Vol. 24(1). - P. 84-96. DOI: https://doi.org/10.15593 /RJBiomech/ 2020.1.09
  • Nemavhola F. Biaxial quantification of passive porcine myocardium elastic properties by region // Engineering Solid Mechanics. - 2017. - Vol. 5(3). - P. 155-166. DOI: https://doi.org/10.5267/j.esm.2017.6.003
  • Nemavhola F. Fibrotic infarction on the LV free wall may alter the mechanics of healthy septal wall during passive filling // Biomedical Materials and Eengineering. - 2017. - Vol. 28(6). - P. 579-599. DOI: https://doi.org/10.3233 /BME-171698
  • Nemavhola F. Detailed structural assessment of healthy interventricular septum in the presence of remodeling infarct in the free wall - A finite element model // Heliyon. - 2019. - Vol. 5(6). - P. e01841. DOI: https://doi.org/10.1016/ j.heliyon.2019.e01841
  • Nemavhola F. Mechanics of the septal wall may be affected by the presence of fibrotic infarct in the free wall at end-systole // International Journal of Medical Engineering and Informatics. - 2019. - Vol. 11(3). - P. 205-225. DOI: https://doi.org/10.1504 /IJMEI.2019.101632
  • Nemavhola F. Study of biaxial mechanical properties of the passive pig heart: material characterisation and categorisation of regional differences // International Journal of Mechanical and Materials Engineering. - 2021. - Vol. 16(1). - P. 1-14. DOI: https://doi.org/10.1186 /s40712-021-00128-4
  • Nemavhola F., Ngwangwa H., Davies N., Franz T. Passive biaxial tensile dataset of three main rat heart myocardia: left ventricle, mid-wall and right ventricle // Preprints. - 2021. - 2021080153. DOI: https://doi.org/ 10.20944/ preprints202108.0153.v1
  • Ngwangwa H.M., Nemavhola F. Evaluating computational performances of hyperelastic models on supraspinatus tendon uniaxial tensile test data // Journal of Computational Applied Mechanics. - 2021. - Vol. 52(1). - P. 27-43. DOI: https://doi.org/10.22059 /jcamech.2020.310491.559
  • Ngwangwa H., Nemavhola F., Pandelani T., Msibi M., Mabuda I., Davies N., Franz T. Determination of cross-directional and cross-wall variations of passive biaxial mechanical properties of rat myocardium // Preprints. -2022. - 2021090244. DOI: https://doi.org/10.3390/ pr10040629
  • Ngwangwa H.M., Pandelani T., Nemavhola F. The application of standard nonlinear solid material models in modelling the tensile behaviour of the supraspinatus tendon // Preprints. - 2021. - 2021080298. DOI: https://doi.org/10.20944/preprints202108.0298.v1
  • Rigolin V.H., Robiolio P.A., Wilson J.S., Harrison J.K., Bashore T.M. The forgotten chamber: the importance of the right ventricle // Catheterization and Cardiovascular Diagnosis. - 1995. - Vol. 35(1). - P. 18-28. DOI: https://doi.org/10.1002/ccd.1810350105
  • Sacks M., Chuong C. Biaxial mechanical properties of passive right ventricular free wall myocardium // Journal of Biomechanical Engineering. - 1993. - Vol. 115(2). - P. 202-205. DOI: https://doi.org/10.1115/1.2894122
  • Sheehan F., Redington A. The right ventricle: anatomy, physiology and clinical imaging // Heart. - 2008. -Vol. 94(11). - P. 1510-1515. DOI: https://doi.org/10.1136 /hrt.2007.132779
  • Sirry M.S., Butler J.R., Patnaik S.S., Brazile B., Bertucci R., Claude A., McLaughlin R., Davies N.H. 4 , Liao J., Franz T. Characterisation of the mechanical properties of infarcted myocardium in the rat under biaxial tension and uniaxial compression // Journal of the Mechanical Behavior of Biomedical Materials. - 2016. - Vol. 63. -P. 252-264. DOI: https://doi.org/10.1016 /j.jmbbm.2016.06.029
Еще