Mathematical modeling of regulatory mechanisms of skin epidermis

Alisher Shakarov

The aim of the research work is the development and improvement of mathematical models, computational algorithms and computer models for studying the regulatory mechanisms of the interaction of skin epidermal cells.
The scientific novelty of the research work is as follows:
the biological models that describe the interrelationships of the dividing, differentiating, fulfilling specific functions of skin epidermal cells were improved;
the system of equations for the regulatory mechanisms of skin epidermal cells based on biological models was developed taking into account the spatiotemporal organization;
the mathematical model of interaction of regulatory mechanisms of skin epidermal cells was created on the basis of a system of functional-differential equations with stumbling arguments;
the computational methods for mathematical models of regulatory mechanisms of skin epidermis were developed, taking into account the time of back action;
the software for computing experiments intended for solving medical problems in the field of construction of models of the interconnected processes of regulatory mechanisms of skin epidermal cells was created.

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