English
Signaling gradients in surface dynamics as basis for regeneration in flatworms
Post-edited
Auteurs : Stevens, Angela (Auteur de la Conférence)
CIRM (Editeur )
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
CIRM (Editeur )
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 : 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
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
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : 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 : Researchers Download : https://videos.cirm-math.fr/2020-02-24_Stevens.mp4 
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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 médecineOrganisateurs 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
Données de citation
DOI : 10.24350/CIRM.V.19616703Citer cette vidéo: 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 |
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Bibliographie
- 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
