Coupled Systems of Linear Differential-Algebraic and Kinetic Equations with Application to the Mathematical Modelling of Muscle Tissue

DOI10.1007/978-3-030-53905-4_12zbMath1456.34051arXiv1911.05468OpenAlexW2983140018MaRDI QIDQ5132498

Bernd Simeon, Steffen Plunder

Publication date: 12 November 2020

Published in: Progress in Differential-Algebraic Equations II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.05468

zbMATH Keywords

differential-algebraic equationsstatistical physicskinetic theorymathematical modellingskeletal muscle tissue

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Numerical methods for differential-algebraic equations (65L80) Qualitative investigation and simulation of ordinary differential equation models (34C60) Control/observation systems governed by ordinary differential equations (93C15) Hybrid systems of ordinary differential equations (34A38) Pathology, pathophysiology (92C32)

Related Items (2)

The mean-field limit for particle systems with uniform full-rank constraints ⋮ Fiber-based modeling and simulation of skeletal muscles

Uses Software

• RODAS
• NumPy

Cites Work

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• Mathematical physiology. II: Systems physiology
• Differential equation approximations for Markov chains
• A distribution-moment approximation for kinetic theories of muscular contraction
• The numerical solution of differential-algebraic systems by Runge-Kutta methods
• A review of the mean field limits for Vlasov equations
• Probability theory. A comprehensive course.
• Automatic Selection of Methods for Solving Stiff and Nonstiff Systems of Ordinary Differential Equations
• Solving Ordinary Differential Equations II
• A model of macroscale deformation and microvibration in skeletal muscle tissue
• Geometric Numerical Integration
• Optimal Transport

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