Mathematical modelling and computational analysis of enzymatic degradation of xenobiotic polymers |
| |
Authors: | Masaji Watanabe Fusako Kawai |
| |
Institution: | 1. Graduate School of Environmental Science, Okayama University, 1-1 Naka 3-chome Tsushima, Okayama 700-8530, Japan;2. Research Institute for Bioresources, Okayama University, 2-20-1 Chuo, Kurashiki 710-0046, Japan |
| |
Abstract: | We study the enzymatic degradation of xenobiotic polymers mathematically. As a mathematical model, we derive a linear second-order hyperbolic partial differential equation which governs the evolution of the weight distribution with respect to the molecular weight. Given an initial weight distribution and a final weight distribution, we formulate a problem to determine a degradation rate. We establish a necessary and sufficient condition for which the problem has a local solution. We also introduce a numerical technique based on our analysis, and present a numerical result that we obtained applying weight distributions before and after enzymatic degradation of polyvinyl alcohol. |
| |
Keywords: | Enzymatic random depolymerization Mathematical model Hyperbolic partial differential equation Polyvinyl alcohol Numerical simulation |
本文献已被 ScienceDirect 等数据库收录! |
|