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2011, 8(2): 515-528. doi: 10.3934/mbe.2011.8.515

## Adaptive response and enlargement of dynamic range

 1 Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 76100, Israel 2 Department of Chemical Engineering and Laboratory of Network Biology Research, Technion - Israel Institute of Technology, Haifa 32000, Israel

Received  March 2010 Revised  August 2010 Published  April 2011

Many membrane channels and receptors exhibit adaptive, or desensitized, response to a strong sustained input stimulus, often supported by protein activity-dependent inactivation. Adaptive response is thought to be related to various cellular functions such as homeostasis and enlargement of dynamic range by background compensation.
Here we study the quantitative relation between adaptive response and background compensation within a modeling framework. We show that any particular type of adaptive response is neither sufficient nor necessary for adaptive enlargement of dynamic range. In particular a precise adaptive response, where system activity is maintained at a constant level at steady state, does not ensure a large dynamic range neither in input signal nor in system output. A general mechanism for input dynamic range enlargement can come about from the activity-dependent modulation of protein responsiveness by multiple biochemical modification, regardless of the type of adaptive response it induces. Therefore hierarchical biochemical processes such as methylation and phosphorylation are natural candidates to induce this property in signaling systems.
Citation: Tamar Friedlander, Naama Brenner. Adaptive response and enlargement of dynamic range. Mathematical Biosciences & Engineering, 2011, 8 (2) : 515-528. doi: 10.3934/mbe.2011.8.515
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