Mathematical Studies on ECM Degradation and Angiogenesis
Dhisa Minerva · Institutional Repositories DataBase (IRDB) · 2016
The work presented here is separated into two topics.The first involves the applicatiOn of a mathematical method for s01ving a system of nonlinear ordinary differential equations (ODEs) relating to kinetic reaction systems on extracellular matrix degradation assOciated with cancer invasion.This method is based On the concept of grouping kinetic reactiOns based on reactiOn rate cOnstants.The mass conservation law is used to Obtain relationships On dependent variables that are involved in these kinetic reactions.Because these relationships are valid at all times during a reactiOn, they can be used to sOlve the ODEs explicitly.This method has been successfully applied tO kinetic reaction systems on extracellular matrix degradation.The system consists Of 12 0DEs that are generated by kinetic reactions of three basic molecules with specific binding rules.Using the