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A mathematical model of skeletal muscle regeneration
Author(s) -
Stephenson Elizabeth R.,
Kojouharov Hristo V.
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4908
Subject(s) - skeletal muscle , ordinary differential equation , regeneration (biology) , sensitivity (control systems) , stability (learning theory) , set (abstract data type) , mathematics , differential equation , control theory (sociology) , computer science , medicine , mathematical analysis , artificial intelligence , engineering , machine learning , anatomy , biology , microbiology and biotechnology , control (management) , electronic engineering , programming language
A novel mathematical model of skeletal muscle regeneration is introduced. It consists of a system of six ordinary differential equations modeling the response of healthy mammalian skeletal muscle tissue to sudden and severe damage. The system is studied analytically to determine its equilibria and their corresponding stability properties. A sensitivity analysis is also conducted to examine the parameters' influence on the system. A set of numerical simulations is performed to simulate various damage and healing scenarios, with and without medical intervention. This model can be used by medical doctors and scientists to forecast the outcomes of medicinal treatments prior to implementation and to guide future laboratory experiments.