de Vries, Gerda

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Virginia Commonwealth UniversityVCU Scholars CompassBiology and Medicine Through MathematicsConference 2018May 30th, 2:15 PM - 3:15 PMA Model of Microtubule Organization in thePresence of Motor ProteinsGerda de VriesUniversity of AlbertaFollow this and additional works at: https://scholarscompass.vcu.edu/bammPart of the Life Sciences Commons, Medicine and Health Sciences Commons, and the PhysicalSciences and Mathematics CommonsThis Event is brought to you for free and open access by the Dept. of Mathematics and Applied Mathematics at VCU Scholars Compass. It has beenaccepted for inclusion in Biology and Medicine Through Mathematics Conference by an authorized administrator of VCU Scholars Compass. Formore information, please contact libcompass@vcu.edu.https://scholarscompass.vcu.edu/bamm/2018/wednesday/24A Model of Microtubule Organization in the Presence of Motor Proteins  Gerda de Vries University of Alberta  Abstract:   Microtubules and motor proteins interact in vivo and in vitro to form higher-order structures such as bundles, asters, and vortices.  In vivo, the organization of microtubules is connected directly to cellular processes such as cell division, motility, and polarization.  To address questions surrounding the mechanism underlying microtubule organization, we have developed a system of integro-partial differential equations that describes the interactions between microtubules and motor proteins.  Our model takes into account motor protein speed, processivity, density, and directionality, as well as microtubule treadmilling and re-organization due to interactions with motors.  Our model is able to provide a quantitative and qualitative description of microtubule patterning.  Simulations results show that plus-end directed motor proteins form vortex patterns at low motor density, while minus-end directed motor proteins form aster patterns at similar densities.  Also, a mixture of motor proteins with opposite directionality can organize microtubules into anti-parallel bundles such as are observed in spindle formation.  References:  T. Hillen, D. White, G. de Vries, and A. Dawes, Existence and uniqueness for a coupled PDE model for motor-induced microtubule organization, J. Biol. Dynamics (10.1080/17513758.2017.1310939), 11:sup2 (2017), pp. 294-315.  D. White, G. de Vries, J. Martin, and A. Dawes, Microtubule patterning in the presence of moving motor proteins, J. Theor. Biol. (10.1016/j.jtbi.2015.06.040), 382 (2015), pp. 81-90.  D. White, G. de Vries, and A. Dawes, Microtubule patterning in the presence of stationary motor distributions, Bull. Math. Biol. (10.1007/s11538-014-9991-1), 76:8 (2014), pp. 1917-1940.   

A Model of Microtubule Organization in the Presence of Motor Proteins

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A Model of Microtubule Organization in the Presence of Motor Proteins

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