2022 - T1 - WS1 - Tissue growth and movement

Collection 2022 - T1 - WS1 - Tissue growth and movement

Organizer(s) Almeida, Luis ; Audebert, Chloé ; Lepoutre, Thomas ; Lorenzi, Tommaso ; Perthame, Benoît
Date(s) 10/01/2022 - 14/01/2022
linked URL https://indico.math.cnrs.fr/event/6529/
00:00:00 / 00:00:00
10 26

On the stability of oscillations in rheological models with delay and viscous friction during morphogenesis

By Jose Munoz

We present a rheological model based on a dynamic adaptation of the rest-length of the tissue during morphogenesis. This adaptation is dependent on previous strain levels by using a delay parameter. We show that the stability of the displacements is dependent on this delay and other material parameters. We demonstrate that, unexpectedly, an increase in frictional viscosity destabilises the oscillatory response. The extension of the model to non-linear strain measures is able to reproduce the observed sustained oscillations in embryonic tissues. The model is applied to the analysis of the Central Nervous System (CNS) in Drosophila fly. Increase in stiffness and a decrease in viscosity allows us to hypothesise a instability of the oscillations prior to CNS condensation. Although other reasons for the triggering of the morphogenetic movements cannot be discarded, the theoretical and experimental measurements point towards a possible source of tissue instabilities during morphogenesis.

Information about the video

Citation data

  • DOI 10.57987/IHP.2022.T1.WS1.010
  • Cite this video Munoz, Jose (11/01/2022). On the stability of oscillations in rheological models with delay and viscous friction during morphogenesis. IHP. Audiovisual resource. DOI: 10.57987/IHP.2022.T1.WS1.010
  • URL https://dx.doi.org/10.57987/IHP.2022.T1.WS1.010

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow




Register

  • Bookmark videos
  • Add videos to see later &
    keep your browsing history
  • Comment with the scientific
    community
  • Get notification updates
    for your favorite subjects
Give feedback