Numerical Analysis of Dermal Cell-Sheet Wound Healing Model using B-spline collocation Scheme

In this study, we have explored a mathematical model (which is a partial differential equation type) for understanding the dynamical characteristics of extracellular matrix of dermal wound healing, which falls under the study of tissue engineering because during the healing process additional cell accumulate at that region forming a film of tissue. The biological process of wound healing depends on a number of factors, including contamination of the injured area, wound dimension, oxygenation of the tissues and the rapid growth of the cell count, making the dynamic of wound healing quite intricate to study even for any prediction hence, a mechanistic mathematical model has been considered for the study of cell regeneration. And for the same dermal cell interaction model a numerical approach has been initiated in this study by implementing cubic b-spline collocation scheme.