Mathematical modelling and computational analysis of enzymatic degradation of xenobiotic polymers

Masaji Watanabe, Fusako Kawai

Research output: Contribution to journalArticle

15 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

Fingerprint

Weight Distribution
Computational Analysis
Mathematical Modeling
Degradation
Polymers
Polyvinyl alcohols
Partial differential equations
Hyperbolic Partial Differential Equations
Local Solution
Alcohol
Linear Order
Numerical Techniques
Molecular weight
Mathematical models
Mathematical Model
Necessary Conditions
Numerical Results
Sufficient Conditions

Keywords

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

ASJC Scopus subject areas

  • Computational Mechanics
  • Control and Systems Engineering
  • Control and Optimization

Cite this

Mathematical modelling and computational analysis of enzymatic degradation of xenobiotic polymers. / Watanabe, Masaji; Kawai, Fusako.

In: Applied Mathematical Modelling, Vol. 30, No. 12, 12.2006, p. 1497-1514.

Research output: Contribution to journalArticle

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