TITLE:
Mathematical Study of Medicine Propagation in Biological Tissue and Some of Its Applications
AUTHORS:
N. G. Gulko, I. T. Selezov, R. I. Volinsky
KEYWORDS:
Enzyme, Substrate, Reaction, Analytical Solution, Numerical Solution, Singular Degeneration, Initial Boundary Value Problem
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.9 No.1,
January
26,
2021
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.