The kinetics of diffused substances in some biological systems

✍ Scribed by C.V. Pao

• Publisher: Springer
• Year: 1978
• Tongue: English
• Weight: 600 KB
• Volume: 40
• Category: Article
• ISSN: 1522-9602
• DOI: 10.1016/s0092-8240(78)80033-0

✦ Synopsis

The purpose of this paper is to present a method for the determination of a solution for a coupled system of first order initial boundary-value problems arising from some biological systems. The physical problem is to determine the suspended and the superficial molecular concentrations of a traced substance passing through an organ containing a tangle of vessels, such as the kidneyureter system. The approach to the problem is by successive approximation which leads to a recursion formula for the determination of the solution as well as error estimates for the approximations. The recursion formula involves only direct integration which indicates a promising possibility in obtaining numerical results by using a computer. In addition to the determination of a solution, some qualitative analysis of the solution is given. This includes the existence of a unique solution, the continuous dependency of the solution on the data, and the stability problem of a steady-state solution.