Mathematical Model Of Skin Epidermis Regulatory Mechanisms in Squamous Cell Cancers Development

摘要

The article is devoted to the study of the regulatory mechanisms dynamics of skin carcinoma on the basis of the firmly established facts and theoretical positions in the field of biology, biophysics and regulation. The developed equations for the regulatory mechanisms of skin cells transformation into abnormal cancer cells have a functional-differential type. Implementation of the developed equations for the epidermis cellular communities number regulation in squamous cell carcinoma on a computer and a series of computational experiments have shown that these equations have stable stationary, self-oscillating solutions typical for the normal functioning of the skin; have chaotic solutions and the “black hole” effect, which makes it possible to diagnose the onset of the phase of unpredictable changes in the skin epidermis regulation and the beginning of the transition into tumor cells. Mathematical and computer models of the skin epidermis regulation at the norm and at the tumor process can be used to improve the methods of early diagnosis, prevention of skin diseases, as well as to choose treatment tactics.