Knutsdottir, Hildur

VCU Scholars Compass

Virginia Commonwealth UniversityVCU Scholars CompassBiology and Medicine Through MathematicsConference 2016May 21st, 5:00 PM - 5:20 PMModelling the polarization, migration andneuromast deposition in the zebrafish posteriorlateral line systemHildur KnutsdottirUniversity of British Columbia, hildur@math.ubc.caFollow this and additional works at: http://scholarscompass.vcu.edu/bammPart of the Developmental Biology Commons, Ordinary Differential Equations and AppliedDynamics Commons, and the Partial Differential Equations 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.http://scholarscompass.vcu.edu/bamm/2016/May21/54MODELLING THE POLARIZATION, MIGRATION AND NEUROMAST DEPOSITION INTHE ZEBRAFISH POSTERIOR LATERAL LINE SYSTEMHildur Knútsdóttir1, Cole Zmurchok1, Dhananjay Bhaskar1, Eirikur Palsson2, Leah Edelstein-Keshet 11 Mathematical Biology, University of British Columbia, Vancouver, BC, Canada,2 Department of Biology, Simon Fraser University, Burnaby, British Columbia, Canada.hildur@math.ubc.caAbstractCollective cell migration plays an important role in a variety of biological systems, such as embryonic devel-opment, wound healing and cancer invasion. Here we study a speciﬁc example in the zebraﬁsh embryo, where agroup of about 100 cells called the posterior lateral line primordium (or PLLP), destined to form sensory structures,migrates from head to tail. Using a 3D deformable cell-based simulation, coupled to reaction-diﬀusion PDEs forchemical concentrations, we model and simulate the polarization, migration, and neuromast deposition in the PLLP.The model combines realistic cell-cell adhesion and interaction forces, chemotaxis up a gradient of the chemokineSDF-1, and up an FGF ligand gradient to describe the emergence of tissue polarity, as well as cell-cluster shape andspeed of collective cell migration. We base the chemical signalling model on receptor-ligand kinetics and mutuallyinhibitory FGF-Wnt signalling. Our signalling submodel allows predictions to be made for the position of thefront-rear boundary in the PLLP, as a function of aggregate parameters such as steady-state receptor expressionlevels and IC50 parameters for the mutually-inhibitory eﬀect. Our 3D model allows an investigation of the role ofcell division, chemotaxis, adhesion and other parameters on the shape of the PLLP and demonstrates reasonablebehaviour of control as well as mutant phenotypes.1

Modelling the polarization, migration and neuromast deposition in the zebrafish posterior lateral line system

http://scholarscompass.vcu.edu/cgi/viewcontent.cgi?article=1022&context=bamm

Modelling the polarization, migration and neuromast deposition in the zebrafish posterior lateral line system

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