A mathematical model of a biosensor

✍ Scribed by S. Jones; B. Jumarhon; S. McKee; J. A. Scott

• Publisher: Springer
• Year: 1996
• Tongue: English
• Weight: 681 KB
• Volume: 30
• Category: Article
• ISSN: 0022-0833
• DOI: 10.1007/bf00042754

✦ Synopsis

This paper is concerned with the modelling of the evolution of a chemical reaction within a small cell. Mathematically the problem consists of a heat equation with nonlinear boundary conditions. Through an integro-differential equation reformulation, an asymptotic result is derived, a perturbation solution is developed, and a modified product integration method is discussed. Finally, an alternative integral formulation is presented which acts as a check on the previous results and permits high accuracy numerical solutions.