Title

A Mathematical Model of Skeletal Muscle Regeneration

Presentation Type

Individual Paper

Academic Level

4-year school

Location

Conference Room E

Start Date

13-4-2017 8:30 AM

End Date

13-4-2017 9:45 AM

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.

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Apr 13th, 8:30 AM Apr 13th, 9:45 AM

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.