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Signaling gradients in surface dynamics as basis for regeneration in flatworms
Post-edited
Authors : Stevens, Angela (Author of the conference)
CIRM (Publisher )
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 (Publisher )
Abstract :
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
MSC Codes : 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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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 17/03/2020 Conference Date : 24/02/2020 Subseries : Research talks arXiv category : Quantitative Biology ; Analysis of PDEs ; Dynamical Systems Mathematical Area(s) : PDE ; Dynamical Systems & ODE ; Analysis and its Applications Format : MP4 (.mp4) - HD Video Time : 00:44:26 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2020-02-24_Stevens.mp4 
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Information on the Event
Event Title : Thematic Month Week 4: Mathematics of Complex Systems in Biology and Medicine / Mois thématique Semaine 4 : Mathématiques des systèmes complexes en biologie et en médecineEvent Organizers : Cristofol, Michel ; Freyermuth, Jean-Marc ; Gomez, Christophe ; Hubert, Florence ; Ryan, Shawn ; Tournus, Magali Dates : 24/02/2020 - 28/02/2020 Event Year : 2020 Event URL : https://conferences.cirm-math.fr/2304.html
Citation Data
DOI : 10.24350/CIRM.V.19616703Cite 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 |
See Also
- [Multi angle] Mathematical modelling and investigation of macrophages heterogeneity and their impact on the evolution of the cancer / Author of the conference Eftimie, Raluca.
- [Multi angle] Mathematical models and their applications in hypertension and autism / Author of the conference Layton, Anita T..
- [Multi angle] Cell-like membranes are shaped by actin dynamics: - a biometric approach to study cell functions / Author of the conference Sykes, Cécile.
- [Multi angle] Mathematical modeling of targeted cancer therapeutics / Author of the conference Jackson, Trachette.
Bibliography
- 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
