Bull Math Biol https://doi.org/10.1007/s11538-018-0448-9 ORIGINAL ARTICLE Assessing the Impact of Electrostatic Drag on Processive Molecular Motor Transport 1 2 J. Darby Smith · Scott A. McKinley Received: 8 August 2017 / Accepted: 22 May 2018 © Society for Mathematical Biology 2018 Abstract The bidirectional movement of intracellular cargo is usually described as a tug-of-war among opposite-directed families of molecular motors. While tug-of- war models have enjoyed some success, recent evidence suggests underlying motor interactions are more complex than previously understood. For example, these tug-of- war models fail to predict the counterintuitive phenomenon that inhibiting one family of motors can decrease the functionality of opposite-directed transport. In this paper, we use a stochastic differential equations modeling framework to explore one proposed physical mechanism, called microtubule tethering, that could play a role in this “co- dependence” among antagonistic motors. This hypothesis includes the possibility of a trade-off: weakly bound trailing molecular motors can serve as tethers for cargoes and processing motors, thereby enhancing motor–cargo run lengths along microtubules; however, this introduces a cost of processing at a lower mean velocity. By computing the small- and large-time mean-squared displacement of our theoretical model and comparing our results to experimental observations of dynein
Bulletin of Mathematical Biology – Springer Journals
Published: Jun 4, 2018
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