Summary
The results of an investigation of the formal stability behavior of equivalent classes of asymptotically stable kinetic equations (generated by well-posed stability constraint specifications), general enough so as to include non-polynomial kinetics, are presented in detail. The qualitative properties of such equivalent classes — especially with respect to physical admissibility and fluctuation regression, including bounds on generalized relaxation times—are deduced without resorting to an explicit solution. The immediate motivation for the study arose from the need for a comprehensive theory when steric interactions in biosynthetic networks are explicitly taken into account. It is known that such interactions result in non-polynomial kinetics.
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Nazarea, A.D. Studies in the stability theory of complex homogeneous kinetics. Biophysik 8, 96–117 (1972). https://doi.org/10.1007/BF01188561
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DOI: https://doi.org/10.1007/BF01188561