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H 1 Signaling gradients in surface dynamics as basis for regeneration in flatworms

Auteurs : Stevens, Angela (Auteur de la Conférence)
CIRM (Editeur )

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planarian regeneration: biology planarian regeneration: mathematical model dynamic boundary conditions simulations of the model reduction of the model planarian body regions, front propagation simulation of reduced model analysis of reduced model

Résumé : We introduce and analyze a mathematical model for the regeneration of planarian flatworms. This system of differential equations incorporates dynamics of head and tail cells which express positional control genes that in turn translate into localized signals that guide stem cell differentiation. Orientation and positional information is encoded in the dynamics of a long range wnt-related signaling gradient.
We motivate our model in relation to experimental data and demonstrate how it correctly reproduces cut and graft experiments. In particular, our system improves on previous models by preserving polarity in regeneration, over orders of magnitude in body size during cutting experiments and growth phases. Our model relies on tristability in cell density dynamics, between head, trunk, and tail. In addition, key to polarity preservation in regeneration, our system includes sensitivity of cell differentiation to gradients of wnt-related signals measured relative to the tissue surface. This process is particularly relevant in a small tissue layer close to wounds during their healing, and modeled here in a robust fashion through dynamic boundary conditions.

Keywords : planaria and regeneration; dynamic boundary conditions; wnt-signal; PDE; math biology

Codes MSC :
35K40 - Second-order parabolic systems
37N25 - Dynamical systems in biology
92C15 - Developmental biology, pattern formation
35B36 - Pattern formation in solutions of PDE
35Q92 - PDEs in connection with biology and other natural sciences

    Informations sur la Vidéo

    Réalisateur : Hennenfent, Guillaume
    Langue : Anglais
    Date de publication : 17/03/2020
    Date de captation : 24/02/2020
    Sous collection : Research talks
    arXiv category : Quantitative Biology ; Analysis of PDEs ; Dynamical Systems
    Domaine : PDE ; Dynamical Systems & ODE ; Analysis and its Applications
    Format : MP4 (.mp4) - HD
    Durée : 00:44:26
    Audience : Chercheurs ; Doctorants , Post - Doctorants
    Download : https://videos.cirm-math.fr/2020-02-24_Stevens.mp4

Informations sur la rencontre

Nom de la rencontre : Thematic Month Week 4: Mathematics of Complex Systems in Biology and Medicine / Mois thématique Semaine 4 : Mathématiques des systèmes complexes en biologie et en médecine
Organisateurs de la rencontre : Cristofol, Michel ; Freyermuth, Jean-Marc ; Gomez, Christophe ; Hubert, Florence ; Ryan, Shawn ; Tournus, Magali
Dates : 24/02/2020 - 28/02/2020
Année de la rencontre : 2020
URL Congrès : https://conferences.cirm-math.fr/2304.html

Citation Data

DOI : 10.24350/CIRM.V.19616703
Cite this video as: Stevens, Angela (2020). Signaling gradients in surface dynamics as basis for regeneration in flatworms. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19616703
URI : http://dx.doi.org/10.24350/CIRM.V.19616703

Voir aussi


  • SCHEEL, Arnd, STEVENS, Angela, et TENBROCK, Christoph. Signaling gradients in surface dynamics as basis for planarian regeneration. arXiv preprint arXiv:1908.04253, 2019. - http://dx.doi.org/10.1101/733246