Abstract
Muscle contraction mechanism has been studied on microlevel (chemical reactions in a sarcomere). Sarcomere contraction mechanism is based on interaction between actin and myosin filaments and can be described by a chemical reaction which has a mathematical model in the form of ordinary differential equations system. The most effective for solution of inverse kinetic problem for this system is a parallel variant of genetic algorithm. Parallel computations have been used for effective organization of computational process.
Similar content being viewed by others
References
Bystrai, G.P., Okhotnikov, S.A.: Thermodynamics of nonlinear biological processes. In: Transition to Chaos, p. 154. Ural University, Yekaterinburg (2008, in Russian)
Slinko, M.G.: Fundamentals and principles of mathematical modeling of catalytic processes, p. 488. Boreskov Catalysis Institute, Novosibirsk (2004, in Russian)
Holland, J.H.: Adaptation in Natural and Artificial Systems, First MIT Press edition, p. 96. University of Michigan Press, Ann Arbor (1975)
Kazakova, D.S., Lind, Yu.B., Gubaidullin, I.M.: Parallel computations in muscle contraction modeling. In: The World of Scientific Discoveries, pp. 242–248. Scientific and Innovation Centre, Krasnoyarsk (2011, in Russian)
Gergel, V.P.: Theory and Practice of Parallel Computations, p. 423. The BKL Publishers, Moscow (2007, in Russian)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Awrejcewicz, J., Lind, Y.B. & Kazakova, D.S. Modeling of Sarcomere Contraction Kinetics. Differ Equ Dyn Syst 21, 15–19 (2013). https://doi.org/10.1007/s12591-012-0115-9
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12591-012-0115-9