A general pre-steady-state solution to complex kinetic mechanisms.

X Z Zhang; A Strand; H D White

doi:10.1016/0003-2697(89)90336-9

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A general pre-steady-state solution to complex kinetic mechanisms.

X Z Zhang·A Strand·H D White

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Abstract

We have developed a general method for solving transient kinetic equations using Laplace transforms. Laplace transforms can be used to transform systems of differential equations that describe pre-steady-state kinetics to systems of linear algebraic equations. The general form of the pre-steady-state solution is (formula; see text) where I(t) is the time dependence of the physically observed property of the system, n is the number of intermediates, lambda i are the observed rate constants (reciprocals of the relaxation times), t is time, and Ii are the amplitude coefficients associated with each observed rate constant. We have written a program in compiled BASIC to run on a personal computer to evaluate Ii and lambda i. The program will evaluate the rate constants and coefficients of a mechanism with eight intermediates and seven relaxation times in 4 s on an 8-MHz PC-XT equipped with a math coprocessor. The most complex mechanism that we have solved, a mechanism containing 20 intermediates and 19 relaxation times, required approximately 5 min. We believe that this method will be useful to evaluate the differences in transient properties of complex biochemical mechanisms.

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Kinetics Mathematical Computing Models, Chemical Software Journal Article Research Support, Non-U.S. Gov't

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X Z Zhang, A Strand, H D White. 1989-02-01. A general pre-steady-state solution to complex kinetic mechanisms.. https://doi.org/10.1016/0003-2697(89)90336-9

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