On the Stability of Oscillations in Rheological Models with Delay and Viscous Friction During Morphogenesis

Explore a 33-minute lecture on the stability of oscillations in rheological models with delay and viscous friction during morphogenesis, presented by Jose J. Munoz from Universitat Politècnica de Catalunya at Institut Henri Poincaré. Delve into a rheological model based on dynamic adaptation of tissue rest-length during morphogenesis, considering strain-dependent delay parameters. Examine how displacement stability relates to delay and material parameters, and discover the unexpected destabilizing effect of increased frictional viscosity on oscillatory response. Learn about the model's extension to non-linear strain measures and its ability to reproduce sustained oscillations observed in embryonic tissues. Investigate the application of this model to the Central Nervous System (CNS) in Drosophila fly, exploring how changes in stiffness and viscosity may indicate oscillation instability prior to CNS condensation. Consider the implications of these findings as a potential source of tissue instabilities during morphogenesis, while acknowledging other possible triggers for morphogenetic movements.