A hybrid integro-differential model for the early development of the zebrafish posterior lateral line

DOI10.1016/j.jtbi.2020.110578zbMath1460.92024OpenAlexW3119136613WikidataQ104799954 ScholiaQ104799954MaRDI QIDQ2659872

Annachiara Colombi, Luigi Preziosi, Marco Scianna

Publication date: 29 March 2021

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jtbi.2020.110578

zbMATH Keywords

non-local interactionscell phenotypic differentiationcoordinated cell migrationnon-local chemotaxisproto-neuromasts formation and deposition

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Dynamical systems in biology (37N25) Developmental biology, pattern formation (92C15) Cell movement (chemotaxis, etc.) (92C17) Hybrid systems of functional-differential equations (34K34)

Related Items (1)

Existence of solutions for coupled hybrid systems of differential equations for microscopic dynamics and local concentrations

Cites Work

• Unnamed Item
• Adhesion and volume constraints via nonlocal interactions determine cell organisation and migration profiles
• Discrete minimisers are close to continuum minimisers for the interaction energy
• Reaction-diffusion finite element model of lateral line primordium migration to explore cell leadership
• A hybrid mathematical model for self-organizing cell migration in the zebrafish lateral line
• Existence of compactly supported global minimisers for the interaction energy
• Multiscale Developments of the Cellular Potts Model

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