Mathematical modelling and computational analysis of enzymatic degradation of xenobiotic polymers

Masaji Watanabe, Fusako Kawai

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


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
Issue number12
Publication statusPublished - Dec 2006


  • 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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