Time-dependent control of metabolic systems by external effectors

Journal of Theoretical Biology
S E SzedlacsekB H Havsteen

Abstract

The expression of elasticity coefficients for time-dependent enzyme inhibition/activation by an external effector was initially derived. Only a limited number of restrictive assumptions were used, for example, the enzyme was considered to obey Michaelis-Menten kinetics and effectors were taken to be competitive. Then, a simple metabolic system under the control of a time-dependent effector (inhibitor or activator) was analysed and the expressions of the control coefficients were obtained. In addition, two numerical examples were used to represent the control coefficients as functions of time and effector concentration. The results indicate that the control coefficients vary in a relatively limited range of values; however, for certain intervals of time and of effector concentration local minima or major modifications of the coefficients may be recorded. The physiological importance of non-steady state analysis of metabolic systems controlled by external effectors was also discussed. It was stressed that the non-steady state treatment may contribute to creating a more realistic image of the metabolic control processes.

Citations

Apr 18, 2001·Journal of Pediatric Endocrinology & Metabolism : JPEM·M E Wilson
Feb 17, 2010·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·Erin Keen-RhinehartTimothy Bartness
Apr 12, 2014·Frontiers in Endocrinology·Md ShahjahanIshwar S Parhar
Sep 24, 2014·Reproductive Medicine and Biology·Shuichi Matsuyama, Koji Kimura
Apr 15, 2015·Frontiers in Neuroscience·Atsushi FukushimaToshiya Funabashi

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