Directional Search-and-Capture Model of Cytoneme-Based Morphogenesis

DOI10.1137/20M1339891zbMath1466.92012arXiv2009.06095OpenAlexW3160476832WikidataQ110696268 ScholiaQ110696268MaRDI QIDQ4990943

Paul C. Bressloff

Publication date: 2 June 2021

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.06095

zbMATH Keywords

morphogenesisstochastic resettingcytonemessearch processes

Mathematics Subject Classification ID

Developmental biology, pattern formation (92C15) Cell biology (92C37) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Cites Work

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• Direct vs. Synaptic Coupling in a Mathematical Model of Cytoneme-Based Morphogen Gradient Formation
• Directed intermittent search with stochastic resetting
• Effects of refractory period on stochastic resetting
• Diffusion with resetting in arbitrary spatial dimension
• Stochastic resetting and applications
• Modeling active cellular transport as a directed search process with stochastic resetting and delays

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