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Selezov, I., Bersenev, V. and Morozova, L. (2011) Modeling of Enzyme—Substrate Reaction in Tissue (In Russian). Sci. Collection “Physics-Mathematical Modeling and Informational Technologies, 13, 132-138.

has been cited by the following article:

• 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.