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Modelling of Dynamic Problems in Biomechanics

Published online by Cambridge University Press:  15 June 2011

I. Petrov ,
Y. Bolotskikh  and
A. Vasyukov
I. Petrov
Affiliation:
Department of Computer Science, Moscow Institute of Physics and Technology, Dolgoprudny 141700, Russia
Y. Bolotskikh
Affiliation:
Department of Computer Science, Moscow Institute of Physics and Technology, Dolgoprudny 141700, Russia
A. Vasyukov*
Affiliation:
Department of Computer Science, Moscow Institute of Physics and Technology, Dolgoprudny 141700, Russia
*
⋆ Corresponding author. E-mail: [email protected]
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Abstract

This paper is devoted to solving of dynamic problems in biomechanics that requiredetailed study of fast processes. Numerical method of characteristics is used to model thetemporal development of the processes with high accuracy.

Keywords

method of characteristicsbiomechanicscataract extractionbrain injuryheartcontraction
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 6 , Issue 7: Mathematical modeling in biomedical applications , 2011 , pp. 70 - 81
Copyright
© EDP Sciences, 2011

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References

Adams, J.H., Graham, D.I., Genmarelli, T.A.. Head injury in man and experimental animals: neuropathology. Acta Neurochir., 32 (1975), 15–30. CrossRefGoogle ScholarPubMed
Zhang, L., Yang, K.H., King, A.I.. Comparison of brain responses between frontal and lateral impacts by finite element modelling. J. Neurotrauma, 18 (2001), 21–30. CrossRefGoogle Scholar
Kuijpers, A.H., Claessens, M.H., Sauren, A.A.. The influence of different boundary conditions on the response of the head to impact: a two-dimensional finite element study. J. Neurotrauma, 12 (1995), 715–724. CrossRefGoogle ScholarPubMed
V. Novatskii. Elasticity theory. Nauka, Moscow, 1975 (in Russian).
K.M. Magomedov, A.S. Kholodov. Grid characteristic methods. Nauka, Moscow, 1988 (in Russian).
I.B., Petrov, A.G., Tormasov, A.S., Kholodov. On the numerical study of unsteady processes in layered solids. Izv. Akad. Nauk SSSR, Ser. Mekh. Tverd. Tela, 4 (1989), 89–95. Google Scholar
Petrov, I.B., Kholodov, A.S.. Numerical study of some dynamic problems in mechanics of deformable solids by the grid characteristic method. Zh. Vych. Mat. Mat. Fiz., 24 (1984), 722–739. Google Scholar
J.A. Trangenstein. Numerical solution of hyperbolic partial differential equations. Cambridge University Press, New York, 2007.