Receptor recharge time drastically reduces the number of captured particles

PLoS Computational Biology
Gregory HandyAlla Borisyuk

Abstract

Many diverse biological systems are described by randomly moving particles that can be captured by traps in their environment. Examples include neurotransmitters diffusing in the synaptic cleft before binding to receptors and prey roaming an environment before capture by predators. In most cases, the traps cannot capture particles continuously. Rather, each trap must wait a transitory "recharge" time after capturing a particle before additional captures. This recharge time is often overlooked. In the case of instant recharge, the average number of particles captured before they escape grows linearly in the total number of particles. In stark contrast, we prove that for any nonzero recharge time, the average number of captured particles grows at most logarithmically in the total particle number. This is a fundamental effect of recharge, as it holds under very general assumptions on particle motion and spatial domain. Furthermore, we characterize the parameter regime in which a given recharge time will dramatically affect a system, allowing researchers to easily verify if they need to account for recharge in their specific system. Finally, we consider a few examples, including a neural system in which recharge reduces neurotransm...Continue Reading

References

Jan 1, 1995·The Journal of General Physiology·S S WangS H Thompson
Mar 18, 2005·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Jeffrey S Diamond
Mar 17, 2007·Mathematical Biosciences·Ricardo GarciaIgor M Sokolov
Sep 29, 2007·Proceedings of the National Academy of Sciences of the United States of America·Z SchussD Holcman
Feb 6, 2010·Proceedings of the National Academy of Sciences of the United States of America·Koichi TakahashiPieter Rein ten Wolde
Mar 1, 2011·Biophysical Journal·Omer DushekVahid Shahrezaei
Jun 21, 2011·Nature Reviews. Neuroscience·Claire RibraultAntoine Triller
Feb 16, 2012·The Journal of Physical Chemistry. B·Steven M AbelArup K Chakraborty
Nov 24, 2012·The Journal of Experimental Biology·M S deVriesS N Patek
Nov 20, 2013·Proceedings of the National Academy of Sciences of the United States of America·Irina V Gopich, Attila Szabo
Apr 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A E LindsayJ C Tzou
Jun 23, 2015·Protein Science : a Publication of the Protein Society·Irina V Gopich, Attila Szabo
Jun 25, 2015·PloS One·Jesus MontesAngel Merchan-Perez
Jan 15, 2016·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Paul C Bressloff, Sean D Lawley
Nov 17, 2016·Biophysical Journal·Sean D Lawley, James P Keener
Mar 3, 2017·The Journal of Chemical Physics·D S Grebenkov, J-F Rupprecht
Mar 30, 2017·Journal of Computational Neuroscience·Gregory HandyAlla Borisyuk
Apr 27, 2017·Physical Biology·Sean D Lawley, James P Keener

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Citations

Apr 3, 2019·Physical Review. E·Gregory HandyAlla Borisyuk
Apr 2, 2021·Biophysical Journal·Gregory Handy, Sean D Lawley

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