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Matematicheskoe modelirovanie, 2014, Volume 26, Number 1, Pages 109–121 (Mi mm3442)  

Simulation of nonlinear dynamics of Hamiltonian systems in biomechanics using computed tomography images

A. I. Nadaryshvili, V. A. Petushkov

Mechanical Engineering and Research Institute of RAS
References:
Abstract: Meshless method of the mathematical simulation of the dynamics of the three-dimensional nonlinearly deformed hyperelastic media, based on the Hamiltonian description of discrete classical mechanics and symplectic integration method for the solution on the temporary layer is developed. The comparative results of solution of model problem and the solution of the actual problem of biomechanics about the dynamics of the artificial valve of heart are represented.
Keywords: biomechanics, deformable media, finite deformation, point approximation, Hamiltonian description, symplectic integrator, mathematical simulation.
Received: 07.07.2012
Document Type: Article
UDC: 517.958:539.3(1)
Language: Russian
Citation: A. I. Nadaryshvili, V. A. Petushkov, “Simulation of nonlinear dynamics of Hamiltonian systems in biomechanics using computed tomography images”, Matem. Mod., 26:1 (2014), 109–121
Citation in format AMSBIB
\Bibitem{NadPet14}
\by A.~I.~Nadaryshvili, V.~A.~Petushkov
\paper Simulation of nonlinear dynamics of Hamiltonian systems in biomechanics using computed tomography images
\jour Matem. Mod.
\yr 2014
\vol 26
\issue 1
\pages 109--121
\mathnet{http://mi.mathnet.ru/mm3442}
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