The Mathematical Theory of Diffusion and Reaction in Enzymes Immoblized Artificial Membrane. The Theory of the Non-Steady State

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• 作者：Malinidevi Ramanathan ; Rasi Muthuramalingam…
• 关键词：Membrane ; Immobilized enzyme ; Mathematical modeling ; Non ; linear equations ; Homotopy perturbation method
• 刊名：Journal of Membrane Biology
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：248
• 期：6
• 页码：1127-1135
• 全文大小：2,035 KB
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• 作者单位：Malinidevi Ramanathan (1)
  Rasi Muthuramalingam (2)
  Rajendran Lakshmanan (2)
  
  1. Department of Mathematics, The Standard Fireworks Rajaratnam College for Women, Sivakasi, Tamil Nadu, 626 123, India
  2. Department of Mathematics, Sethu Institute of Technology, Kariapatti, Tamil Nadu, 626 115, India
  
• 刊物类别：Biomedical and Life Sciences
• 刊物主题：Life Sciences
  Biochemistry
  Human Physiology
  
• 出版者：Springer New York
• ISSN：1432-1424

文摘

In this paper, mathematical model pertaining to the decomposition of enzyme–substrate complex in an artificial membrane is discussed. Here the transport through liquid membrane phases is considered. The model involves the system of non-linear reaction diffusion equations. The non-linear terms in this model are related to Michaelis–Menten reaction scheme. Approximate analytical expressions for the concentrations of substrate and product have been derived by solving the system of non-linear reaction diffusion equations using new approach of homotopy perturbation method for all values of Michaelis–Menten constant, diffusion coefficient, and rate constant. Approximate flux expression for substrate and product for non-steady-state conditions are also reported. A comparison of the analytical approximation and numerical simulation is also presented. The results obtained in this work are valid for the entire solution domain. Keywords Membrane Immobilized enzyme Mathematical modeling Non-linear equations Homotopy perturbation method