A Mathematical Model of Skeletal Muscle Regeneration
Abstract
We introduce a system of seven ordinary differential equations modeling the response of healthy mammalian skeletal muscle tissue to sudden and severe damage. The system is analyzed, yielding one stable, biologically meaningful equilibrium. A set of numerical simulations is performed to illustrate the performance of the proposed equations. We conduct a sensitivity analysis to rank the parameters’ influence on the system. This model can help doctors and scientists forecast the outcomes of medicinal treatments prior to implementation.
A Mathematical Model of Skeletal Muscle Regeneration
Conference Room E
We introduce a system of seven ordinary differential equations modeling the response of healthy mammalian skeletal muscle tissue to sudden and severe damage. The system is analyzed, yielding one stable, biologically meaningful equilibrium. A set of numerical simulations is performed to illustrate the performance of the proposed equations. We conduct a sensitivity analysis to rank the parameters’ influence on the system. This model can help doctors and scientists forecast the outcomes of medicinal treatments prior to implementation.