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This article is cited in 1 scientific paper (total in 1 paper)
Simulation of dynamic processes in the human body using differential equations with discontinuous right-hand side
D. V. Gorbunova, T. V. Gavrilenkoba a Surgut State University, Surgut, Russian Federation
b Surgut Branch of Federal State Institute “Scientific Research Institute for System Analysis of the Russian Academy of Sciences”, Surgut, Russian Federation
Abstract:
This study considers the simulation of the human body's functional systems as part of the research into the parameter variation dynamics in subsystems with a chaotic, self-organizing structure. The problem is significant as we need to study the interaction between the subsystems of a complex system, the human body, and find the causes of pathologies. The proposed simulation method uses differential equations with a discontinuous right-hand side. It enables us to account for self-organization in dynamic subsystems. The stationary state is maintained as the solution approaches a unique discontinuity line in the system, as it correctly reproduces the dynamics of a subsystem in the human body. The discontinuity line is generated during the simulation and adjusted to match the current state of the subsystem and the stationary state, which is a much better representation of the dynamics of a real living system. The paper includes the simulation results of a human biomechanical system (a special case). The tests proved the simulation results are in good agreement with the experiments. The biomechanical system motion simulation results show stability in a series of computational experiments.
Keywords:
simulation, biomechanical system, self-organization, chaotic dynamics.
Citation:
D. V. Gorbunov, T. V. Gavrilenko, “Simulation of dynamic processes in the human body using differential equations with discontinuous right-hand side”, Russian Journal of Cybernetics, 4:1 (2023), 15–20
Linking options:
https://www.mathnet.ru/eng/uk12 https://www.mathnet.ru/eng/uk/v4/i1/p15
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Abstract page: | 46 | Full-text PDF : | 27 | References: | 4 |
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