Abstract
The paper deals with the problem of the distribution of the medicine (enzyme) in the damaged biological tissue where the reaction enzyme—substrat takes place. The biological problem is reduced to a singular degenerate initial-boundary value problem for two coupled ordinary differential equations. Analytical solution of the singular degenerated IBV-problem was obtained by power series. The solution demonstrates the real situation and found suitable to depict the degeneration of singular system, caused by low concentration of the enzyme.
Highlights
Introduction and Auxiliary ResultsThere are many different works dealing with medicine transportation to the damaged zone
The solution demonstrates the real situation and found suitable to depict the degeneration of singular system, caused by low concentration of the enzyme
It makes possible to demonstrate the real situation and found suitable to depict the degeneration of singular system, caused by low concentration of the enzyme
Summary
There are many different works dealing with medicine (enzyme) transportation to the damaged zone. The model fully reflects the formation of the enzyme-substrate complex in the damaged tissue [3] [4]. By combining Enzymes and Enzyme-substrate complexes values, they derive a Michaelis-Menten hyperbolic function and the proportionate rate of reaction and Enzymes values of the quadratics resulting in another Michaelis-Menten hyperbolic. In [11] complex variables method combined with Monte Carlo method It this paper we provide the overview of the main methods proposed for an analytical solution. In contrast to previous studies, it is not required to take into account the limitations on the very small amount of the introduced enzyme
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