Asymptotic analysis of microtubule-based transport by multiple identical molecular motors

Journal of Theoretical Biology
Scott A McKinleyPeter R Kramer

Abstract

We describe a system of stochastic differential equations (SDEs) which model the interaction between processive molecular motors, such as kinesin and dynein, and the biomolecular cargo they tow as part of microtubule-based intracellular transport. We show that the classical experimental environment fits within a parameter regime which is qualitatively distinct from conditions one expects to find in living cells. Through an asymptotic analysis of our system of SDEs, we develop a means for applying in vitro observations of the nonlinear response by motors to forces induced on the attached cargo to make analytical predictions for two parameter regimes that have thus far eluded direct experimental observation: (1) highly viscous in vivo transport and (2) dynamics when multiple identical motors are attached to the cargo and microtubule.

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Citations

Dec 15, 2012·Developmental Cell·Mary Williard Elting, James A Spudich
Nov 30, 2018·Journal of the Royal Society, Interface·Xiulan LaiChuan Xue
Nov 14, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ethan Levien, Paul C Bressloff
Jun 6, 2018·Bulletin of Mathematical Biology·J Darby Smith, Scott A McKinley
Sep 18, 2020·Bulletin of Mathematical Biology·Maria-Veronica CiocanelScott A McKinley
Apr 25, 2019·Journal of Mathematical Biology·Jun AllardDietmar Oelz
May 5, 2017·Journal of Theoretical Biology·Christopher E Miles, James P Keener
Apr 20, 2021·Research in the Mathematical Sciences·Joseph J KlobusickyPeter R Kramer

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