Analysis on Mathematical Models of Somitogenesis in Zebrafish

Meeting Details

For more information about this meeting, contact Donna Cepullio, Kristin Berrigan, Jessica Conway, Carina Curto, Andrew Belmonte, Timothy Reluga, Wenrui Hao, Leonid Berlyand, Vladimir Itskov.

Speaker: Kang-Ling Liao (Host: Wenrui Hao), University of Manitoba

Abstract: Somites are segmental structure in vertebrate embryos. The pattern of somites is governed by the segmentation clock and the timing of somite formation is controlled by the clock genes which their gene expressions undergo synchronous oscillation, traveling wave, and oscillation arrest in the posterior presomitic mesoderm (PSM). In this talk, I will focus on two types of mathematical models: DDEs and ODEs, which depict the kinetics of the zebrafish segmentation clock gene and cell-to-cell interaction through Delta-Notch signaling, to study the dynamics in somite formation. We employed a sequential-contracting technique to derive the global convergence to the equilibrium which corresponds to the oscillation-arrested pattern in the anterior PSM. Applying the Hopf bifurcation theory, we also derived the criteria for the existence of stable synchronous oscillations pattern in the posterior PSM.

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Room Reservation Information

Room Number: Zoom

Date: 04/13/2021

Time: 1:30pm - 2:30pm