ArticleJournal of mathematical biology2004
Stochastic models for cell motion and taxis.
Article in Journal of mathematical biology, 2004. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 14 papers.
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Who cites it
14 citing papers in PubMed.
- Bistable Mathematical Model of Neutrophil Migratory Patterns After LPS-Induced Epigenetic Reprogramming.Frontiers in genetics · 2021Article
- Chemokine-guided cell migration and motility in zebrafish development.The EMBO journal · 2015Review
- The role of proteases in regulating Eph/ephrin signaling.Cell adhesion & migration · 2014Review
- Article
- Analytical results on the Beauchemin model of lymphocyte migration.BMC bioinformatics · 2013Article
- Defining the quantitative limits of intravital two-photon lymphocyte tracking.Proceedings of the National Academy of Sciences of the United States of America · 2011Article
- Stochastic modelling of biased cell migration and collagen matrix modification.Journal of mathematical biology · 2010Article
- Analysis of video-based microscopic particle trajectories using Kalman filtering.Biophysical journal · 2010Article
- The stochastic search dynamics of interneuron migration.Biophysical journal · 2009Article
- Bimodal analysis of mammary epithelial cell migration in two dimensions.Annals of biomedical engineering · 2009Article
- [Mathematical modelling in systems biology. Simulation of the desmoplastic stromal reaction as an example].Der Pathologe · 2008Article
- Inference for nonlinear dynamical systems.Proceedings of the National Academy of Sciences of the United States of America · 2006Article
- A structured-population model of Proteus mirabilis swarm-colony development.Journal of mathematical biology · 2006Article
- Cell motility as persistent random motion: theories from experiments.Biophysical journal · 2005Article
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Authors and funding
4 authors.
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Abstract
Certain biological experiments investigating cell motion result in time lapse video microscopy data which may be modeled using stochastic differential equations. These models suggest statistics for quantifying experimental results and testing relevant hypotheses, and carry implications for the qualitative behavior of cells and for underlying biophysical mechanisms. Directional cell motion in response to a stimulus, termed taxis, has previously been modeled at a phenomenological level using the Keller-Segel diffusion equation. The Keller-Segel model cannot distinguish certain modes of taxis, and this motivates the introduction of a richer class of models which is nevertheless still amenable to statistical analysis. A state space model formulation is used to link models proposed for cell velocity to observed data. Sequential Monte Carlo methods enable parameter estimation via maximum likelihood for a range of applicable models. One particular experimental situation, involving the effect of an electric field on cell behavior, is considered in detail. In this case, an Ornstein- Uhlenbeck model for cell velocity is found to compare favorably with a nonlinear diffusion model.
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