Mathematical modelling and computational analysis of enzymatic degradation of xenobiotic polymers

Masaji Watanabe, Fusako Kawai

    Research output: Contribution to journalArticlepeer-review

    16 Citations (Scopus)

    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.

    Original languageEnglish
    Pages (from-to)1497-1514
    Number of pages18
    JournalApplied Mathematical Modelling
    Volume30
    Issue number12
    DOIs
    Publication statusPublished - Dec 2006

    Keywords

    • Enzymatic random depolymerization
    • Hyperbolic partial differential equation
    • Mathematical model
    • Numerical simulation
    • Polyvinyl alcohol

    ASJC Scopus subject areas

    • Modelling and Simulation
    • Applied Mathematics

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