The idea of using a symbolic manipulator as the engine for analyzing chemical reactions is developed. With the reactions as the input, it is shown how to symbolically derive the governing differential equations for the concentration of each species, the conservation laws for the scheme, and certain steady states. It is also shown how to use the information derived symbolically to construct, and then execute, a numerical scheme for solving the problem. This is done by linking the symbolic manipulator with an X‐window display program that produces a graphical interface relating the data, the numerical solution, and the plotting routines. The routines are demonstrated using the Oregonator model that arises in the study of excitable systems. © 1995 American Institute of Physics.
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Research Article|
November 01 1995
Symbolic and numerical computing for chemical kinetic reaction schemes
Mark H. Holmes;
Mark H. Holmes
Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, New York 12180
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Yuklun Au;
Yuklun Au
Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, New York 12180
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J. W. Stayman
J. W. Stayman
Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, New York 12180
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Comput. Phys. 9, 629–634 (1995)
Article history
Received:
October 24 1994
Accepted:
July 24 1995
Citation
Mark H. Holmes, Yuklun Au, J. W. Stayman; Symbolic and numerical computing for chemical kinetic reaction schemes. Comput. Phys. 1 November 1995; 9 (6): 629–634. https://doi.org/10.1063/1.168555
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