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
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On the Incompressible Limit for a Tumour Growth Model Incorporating Convective Effects

By Markus Schmidtchen

In this work we study a tissue growth model with applications to tumour growth. The model is based on that of Perthame, Quir´os, and V´azquez proposed in 2014 but incorporates the advective effects caused, for instance, by the presence of nutrients, oxygen, or, possibly, as a result of self-propulsion. The main result of this work is the incompressible limit of this model which builds a bridge between the density-based model and a geometry free-boundary problem by passing to a singular limit in the pressure law. The limiting objects are then proven to be unique.

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Citation data

  • DOI 10.57987/IHP.2022.T1.WS1.002
  • Cite this video Schmidtchen, Markus (10/01/2022). On the Incompressible Limit for a Tumour Growth Model Incorporating Convective Effects. IHP. Audiovisual resource. DOI: 10.57987/IHP.2022.T1.WS1.002
  • URL https://dx.doi.org/10.57987/IHP.2022.T1.WS1.002

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