Some questions related to modeling in cellular biology

DOI10.1007/s11784-010-0012-1zbMath1205.35322OpenAlexW2029750289WikidataQ58052118 ScholiaQ58052118MaRDI QIDQ626514

Ivan Kupka, David Holcman

Publication date: 18 February 2011

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-010-0012-1

zbMATH Keywords

diffusionBrownian motionelliptic PDEsmall holemodeling cellular biologynarrow escape

Mathematics Subject Classification ID

Computational methods for problems pertaining to probability theory (60-08) Neural biology (92C20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell biology (92C37) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items

Polymer physics of nuclear organization and function ⋮ The narrow escape problem -- a short review of recent results ⋮ Diffusion laws in dendritic spines

Cites Work

• Unnamed Item
• Unnamed Item
• Diffusion through a cluster of small windows and flux regulation in microdomains
• Restricted-range gradients and travelling fronts in a model of juxtacrine cell relay
• Morphogenetic gradients and the stability of boundaries between neighboring morphogenetic regions
• Narrow escape. I
• Narrow escape. II: The circular disk
• Narrow escape. III: Non-smooth domains and Riemann surfaces
• Escape through a small opening: receptor trafficking in a synaptic membrane
• An Asymptotic Analysis of the Mean First Passage Time for Narrow Escape Problems: Part I: Two-Dimensional Domains
• An Asymptotic Analysis of the Mean First Passage Time for Narrow Escape Problems: Part II: The Sphere
• Strong Localized Perturbations of Eigenvalue Problems
• Summing Logarithmic Expansions for Singularly Perturbed Eigenvalue Problems
• The probability of an encounter of two Brownian particles before escape
• The onset of thermal runaway in partially insulated or cooled reactors
• The chemical basis of morphogenesis
• Activation through a Narrow Opening
• Diffusion escape through a cluster of small absorbing windows
• Optimizing the fundamental Neumann eigenvalue for the Laplacian in a domain with small traps

This page was built for publication: Some questions related to modeling in cellular biology