The matrix exponential {method|technique|approach|strategy|system|process} as implemented in MATLAB is demonstrated as a facile tool for solvingthe time-dependent concentrations of an arbitrary chemically reactive network modelledas a coupled linear {system|method|program|technique} of first-order differential equations. The {method|technique|approach|strategy|system|process} is {used|utilized|employed|utilised|applied|made use of} to verifya {10|ten} species network incorporating experimentally supplied forward {rate|price} constants; and arandom 11 species network incorporating {both|each} forward and backward {rate|price} constants as modelledby semiclassical electron transfer theory. Also demonstrated {is the|will be the|may be the|would be the|could be the|is definitely the} matrix exponentialsolution in {exact|precise} arithmetic ({via|by way of|through|by means of} Putzer’s algorithm and verified by Laplace transforms) {for a|to get a|for any} chainof {three|3} species coupled reversibly. 1256825-86-1 Data Sheet 98730-77-9 Data Sheet PMID:23453497
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