Title Kinetic behavior of the general modifier mechanism of Botts and Morales with non-equilibrium binding
Authors Jia, Chen
Liu, Xu-Feng
Qian, Min-Ping
Jiang, Da-Quan
Zhang, Yu-Ping
Affiliation Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China.
Peking Univ, Ctr Theoret Biol, Beijing 100871, Peoples R China.
Beijing Int Ctr Math Res, Beijing 100871, Peoples R China.
Keywords Inhibitor
Effector
NESS
Net flux
Switching behavior
SUICIDE SUBSTRATE
ENZYME-SYSTEMS
RAPID EQUILIBRIUM
P-GLYCOPROTEIN
DRUG TRANSPORT
STEADY-STATES
INHIBITION
ACTIVATION
EQUATIONS
SINGLE
Issue Date 2012
Publisher 理论生物学杂志
Citation JOURNAL OF THEORETICAL BIOLOGY.2012,296,13-20.
Abstract In this paper, we perform a complete analysis of the kinetic behavior of the general modifier mechanism of Botts and Morales in both equilibrium steady states and non-equilibrium steady states (NESS). Enlightened by the non-equilibrium theory of Markov chains, we introduce the net flux into discussion and acquire an expression of the rate of product formation in NESS, which has clear biophysical significance. Up till now, it is a general belief that being an activator or an inhibitor is an intrinsic property of the modifier. However, we reveal that this traditional point of view is based on the equilibrium assumption. A modifier may no longer be an overall activator or inhibitor when the reaction system is not in equilibrium. Based on the regulation of enzyme activity by the modifier concentration, we classify the kinetic behavior of the modifier into three categories, which are named hyperbolic behavior, bell-shaped behavior, and switching behavior, respectively. We show that the switching phenomenon, in which a modifier may convert between an activator and an inhibitor when the modifier concentration varies, occurs only in NESS. Effects of drugs on the Pgp ATPase activity, where drugs may convert from activators to inhibitors with the increase of the drug concentration, are taken as a typical example to demonstrate the occurrence of the switching phenomenon. (C) 2011 Elsevier Ltd. All rights reserved.
URI http://hdl.handle.net/20.500.11897/157238
ISSN 0022-5193
DOI 10.1016/j.jtbi.2011.11.006
Indexed SCI(E)
PubMed
Appears in Collections: 数学科学学院

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