Author(s)

N. G. Gulko¹, I. T. Selezov², R. I. Volinsky³

¹Department of Mathematics, Ben-Gurion University of the Negev, Beer-Sheva, Israel.
²Institute of Hydromechanics, NAS of Ukraine, Kiev, Ukraine.
³Department of Geography, Ben-Gurion University of the Negev, Beer-Sheva, Israel.

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.

Enzyme, Substrate, Reaction, Analytical Solution, Numerical Solution, Singular Degeneration, Initial Boundary Value Problem

Gulko, N. , Selezov, I. and Volinsky, R. (2021) Mathematical Study of Medicine Propagation in Biological Tissue and Some of Its Applications. Journal of Applied Mathematics and Physics, 9, 127-132. doi: 10.4236/jamp.2021.91009.