Biophysical models of PAR cluster transport by cortical flow in \textit{C. elegans} early embryogenesis

DOI10.1007/S11538-022-00997-6zbMath1486.92015OpenAlexW4225315596WikidataQ113900071 ScholiaQ113900071MaRDI QIDQ2113600

William R. Holmes, Cole Zmurchok

Publication date: 14 March 2022

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11538-022-00997-6

zbMATH Keywords

stochastic differential equationagent-based modelembryogenesiscortical flowPAR proteinsprotein transport

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) Biomechanics (92C10) Developmental biology, pattern formation (92C15)

Uses Software

• SciPy
• NumPy
• Matplotlib
• Python
• IPython
• Seaborn

Cites Work

• Polarization and movement of keratocytes: a multiscale modelling approach
• Actomyosin regulation and symmetry breaking in a model of polarization in the early \textit{Caenorhabditis elegans} embryo
• Models for the length distributions of actin filaments. I: Simple polymerization and fragmenta\-tion.
• Cortical geometry may influence placement of interface between Par protein domains in early \textit{Caenorhabditis elegans} embryos
• A model for intracellular actin waves explored by nonlinear local perturbation analysis
• Statistical methodology in single-molecule experiments
• Stochastic processes in cell biology
• Mathematical model for spatial segregation of the rho-family gtpases based on inhibitory crosstalk
• Stochastic Modelling of Reaction–Diffusion Processes

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