摘要
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.
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.
作者
N. G. Gulko
I. T. Selezov
R. I. Volinsky
N. G. Gulko;I. T. Selezov;R. I. Volinsky(Department of Mathematics, Ben-Gurion University of the Negev, Beer-Sheva, Israel;Institute of Hydromechanics, NAS of Ukraine, Kiev, Ukraine;Department of Geography, Ben-Gurion University of the Negev, Beer-Sheva, Israel)
