ArticleBiophysical journal2015
Local perturbation analysis: a computational tool for biophysical reaction-diffusion models.
Article in Biophysical journal, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 19 papers.
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Who cites it
19 citing papers in PubMed.
- Oligomerization and positive feedback on membrane recruitment encode dynamically stable PAR-3 asymmetries in thebioRxiv : the preprint server for biology · 2025Article
- Turing Instabilities are Not Enough to Ensure Pattern Formation.Bulletin of mathematical biology · 2024Article
- Non-asymptotic transients away from steady states determine cellular responsiveness to dynamic spatial-temporal signals.PLoS computational biology · 2023Article
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- Oligomerization of peripheral membrane proteins provides tunable control of cell surface polarity.Biophysical journal · 2022Article
- Characterizing spontaneous CaBiophysical journal · 2022Article
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- Spots, stripes, and spiral waves in models for static and motile cells : GTPase patterns in cells.Journal of mathematical biology · 2021Article
- Membrane Tension Can Enhance Adaptation to Maintain Polarity of Migrating Cells.Biophysical journal · 2020Article
- Simple Rho GTPase Dynamics Generate a Complex Regulatory Landscape Associated with Cell Shape.Biophysical journal · 2020Article
- Article
- Rac activation is key to cell motility and directionality: An experimental and modelling investigation.Computational and structural biotechnology journal · 2019Article
- Paxillin phosphorylation at serine 273 and its effects on Rac, Rho and adhesion dynamics.PLoS computational biology · 2018Article
- Principles that govern competition or co-existence in Rho-GTPase driven polarization.PLoS computational biology · 2018Article
- Mathematical Models for Cell Migration with Real-Time Cell Cycle Dynamics.Biophysical journal · 2018Article
- Modelling compartmentalization towards elucidation and engineering of spatial organization in biochemical pathways.Scientific reports · 2017Article
- Mechanisms of Cell Polarization.Current opinion in systems biology · 2017Article
- A mathematical model coupling polarity signaling to cell adhesion explains diverse cell migration patterns.PLoS computational biology · 2017Article
- Modeling the roles of protein kinase Cβ and η in single-cell wound repair.Molecular biology of the cell · 2015Article
Corrections and comments
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3 authors.
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Abstract
Diffusion and interaction of molecular regulators in cells is often modeled using reaction-diffusion partial differential equations. Analysis of such models and exploration of their parameter space is challenging, particularly for systems of high dimensionality. Here, we present a relatively simple and straightforward analysis, the local perturbation analysis, that reveals how parameter variations affect model behavior. This computational tool, which greatly aids exploration of the behavior of a model, exploits a structural feature common to many cellular regulatory systems: regulators are typically either bound to a membrane or freely diffusing in the interior of the cell. Using well-documented, readily available bifurcation software, the local perturbation analysis tracks the approximate early evolution of an arbitrarily large perturbation of a homogeneous steady state. In doing so, it provides a bifurcation diagram that concisely describes various regimes of the model's behavior, reducing the need for exhaustive simulations to explore parameter space. We explain the method and provide detailed step-by-step guides to its use and application.
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