Mathematical Approaches Towards Healing of Wounds with Underlying Sickness

Abstract

Skin is the largest organ in the Human body which covers the body and plays vary important roles including thermoregulation, sensory and host defense. With these functions, it’s very important to protects and safe guide human skin from being damage. This work explores the application of mathematical modeling on skin wound healing with underlying sickness, focusing on the significance of constant (C) in indefinite integrals result. A novel mathematical framework is developed, incorporating ordinary differential equations to describe the dynamics of wound healing. The Ordinary Differential Equations involving growth factor control of keratinocyte, epidermal and dermal wounds healing was adopted, modified, solved and analyzed with maple 18 software. The initial conditions were set to be the initial period of injury or fresh wound and as the day (time) increases the wound site reduces till it yields zero (0) for each layer of skin tissue. It was observed that the results show that constant (C) plays a crucial role in predicting wound healing outcomes and optimizing treatment strategies. Constant C plays an important role in the body system of patient with underlying sick by bringing the degenerated body system like diabetic patient back to normal with time subject to continuity and consistence’s in the administrations of insulin and with proper monitoring of carbohydrate consumption. The findings are in good agreement with recent studies.