Vasin, A.A., Gaponenko, A.K., Teplov, A.E. and Markeev, A.N. (2006) Mathematical Modeling Biochemical Reactions on Example of Biosinthesis of Caoutchouc (In Russian). Mathematical Biology and Bioinformatics, 1, 41-57.
https://doi.org/10.17537/2006.1.41

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.