Mathematical modeling of immune and muscle cell interactions under vibrational effects during muscle regeneration
摘要
In this study, a novel mathematical framework delineating the process of skeletal muscle regeneration is presented. The model is composed of a system of nine ordinary differential equations that elucidate the dynamic response of healthy mammalian skeletal muscle tissue to abrupt and severe injury. Through rigorous analytical investigation, the equilibria of the system are identified and their stability properties are characterized. Additionally, a comprehensive sensitivity analysis is undertaken to discern the impact of various parameters on the system. Numerical simulations are executed to replicate diverse scenarios of muscle damage and subsequent healing, encompassing both intervened and non-intervened conditions. This mathematical model is positioned as a valuable tool for medical practitioners and researchers, offering predictive insights into the outcomes of medicinal interventions prior to implementation, and providing guidance for the design of future laboratory experiments in the realm of skeletal muscle regeneration.