Abstract
Metabolic systems are composed of many biochemical reactions and transport processes with very different rates. Their dynamic interaction produces a temporal organization whose salient feature is the existence of a distinct time hierarchy. Only a subset of the dynamic variables of the system moves with a velocity comparable to the characteristic time scale of the whole metabolic system, while others move very quickly and produce a dynamic “rapid substructure”. The mathematical description of this situation leads to differential equations with small parameters as multipliers of the derivatives of fast components (cf. Reich and Sel’kov 1981).
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© 1985 Springer-Verlag Berlin Heidelberg
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Dvořák, I., Kubínová, L., Šiška, J. (1985). Time Hierarchy in Oscillating Metabolic Systems. In: Capasso, V., Grosso, E., Paveri-Fontana, S.L. (eds) Mathematics in Biology and Medicine. Lecture Notes in Biomathematics, vol 57. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93287-8_41
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DOI: https://doi.org/10.1007/978-3-642-93287-8_41
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