Numerical modeling for nonlinear biochemical reaction networks

نویسندگان

  • K. Rehan Assistant Professor, Department of Mathematics, University of Engineering & Technology, KSK Campus, Pakistan
  • M. Mushtaq Professor, University of Engineering and Technology, Lahore Campus, Lahore, Pakistan.
  • M. Rafiq Assistant Professor, Faculty of Electrical Engineering, University of Central Punjab, Pakistan
  • Z. A. Zafar Lecturer, Department of Computer Science, University of Central Punjab, Lahore, Pakistan.
چکیده مقاله:

Nowadays, numerical models have great importance in every field of science, especially for solving the nonlinear differential equations, partial differential equations, biochemical reactions, etc. The total time evolution of the reactant concentrations in the basic enzyme-substrate reaction is simulated by the Runge-Kutta of order four (RK4) and by nonstandard finite difference (NSFD) method. A NSFD model has been constructed for the biochemical reaction problem and numerical experiments are performed for different values of discretization parameter ‘h’. The results are compared with the well-known numerical scheme, i.e. RK4. Unlike RK4 which fails for large time steps, the developed scheme gives results that converge to true steady states for any time step used.

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عنوان ژورنال

دوره 8  شماره 4

صفحات  413- 423

تاریخ انتشار 2017-12-01

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