Validity of transfer-function representation of input-output relation in allosteric models |
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| Authors: | N Sakamoto T Naka |
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| Affiliation: | 1. Mohamed Bin Zayed University of Artificial Intelligence, United Arab Emirates;2. Department of Computer Science, Information Technology University (ITU), Lahore, Pakistan;3. Laboratoire MIA, La Rochelle Université, La Rochelle, France;4. School of Computer Science and Engineering, Kyungpook National University, Daegu, South Korea;1. Technische Universität München, Chair of Biomolecular NMR Spectroscopy, Germany;2. McGill University, Chemistry Department, Canada;1. College of Aerospace Science and Engineering, National University of Defense Technology, Changsha, Hunan 410073, China;2. Hunan Provincial Key Laboratory of Image Measurement and Vision Navigation, Changsha, Hunan 410073, China |
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| Abstract: | A transfer-function representation of reaction velocity is devised to describe analytically and approximately an input-output response of allosteric enzyme around a steady state. The transfer function is derived on assuming an exponential change in reaction velocity for the indicial response to substrate influx rate. The validity of the representation with variation in the kinetic parameters and flow rates is examined for the response of Koshland-Nemethy-Filmer (KNF) and Monod-Wyman-Changeux (MWC) dimeric models by comparing with the exact response obtained from the computer simulation, that is, by numerical integration of the rate equation. The representation has a wider valid region with a decrease in influx rate than with an increase. For the KNF model the representation is valid for negative cooperativity, but invalid for positive cooperativity. For the MWC model the validity decreases with stronger cooperativity. With the transfer functions valid for the Michaelis-Menten and allosteric reactions, we may derive the transfer-function representation for many metabolic pathways. |
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