Numerical Modeling for Nonlinear Biochemical Reaction Networks

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ZAFAR Z.A.; REHAN K.; MUSHTAQ M.; RAFIQ M.

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Journal: Iranian Journal of Mathematical Chemistry Year:2017 | Volume:8 | Issue:4 Page(s): 413-423

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Information Journal Paper

Title

Numerical Modeling for Nonlinear Biochemical Reaction Networks

Author(s)

ZAFAR Z.A. | REHAN K. | MUSHTAQ M. | RAFIQ M. | Issue Writer Certificate

Keywords

Michaelis-Menten modelQ1

NSFD methodQ1

RK4 methodQ1

Abstract

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 Non-standard finite difference (NSFD) method. ANSFD 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 NSFD gives results that converge to true steady states for any time step used.

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APA: Copy

ZAFAR, Z.A., REHAN, K., MUSHTAQ, M., & RAFIQ, M.. (2017). Numerical Modeling for Nonlinear Biochemical Reaction Networks. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 8(4 ), 413-423. SID. https://sid.ir/paper/205515/en

Vancouver: Copy

ZAFAR Z.A., REHAN K., MUSHTAQ M., RAFIQ M.. Numerical Modeling for Nonlinear Biochemical Reaction Networks. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY[Internet]. 2017;8(4 ):413-423. Available from: https://sid.ir/paper/205515/en

IEEE: Copy

Z.A. ZAFAR, K. REHAN, M. MUSHTAQ, and M. RAFIQ, “Numerical Modeling for Nonlinear Biochemical Reaction Networks,” IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, vol. 8, no. 4 , pp. 413–423, 2017, [Online]. Available: https://sid.ir/paper/205515/en

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