The Diffusion Limit of Transport Equations II: Chemotaxis Equations

By Hans G. Othmer, Thomas Hillen. SIAM Journal on Applied Mathematics, 2002

389 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Cell Biology, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/a630f24e50ed7659f5e43190d90b4b7c86799c06

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Biomedical Engineering

1. Paul C. Bressloff
2. Michael J. Plank
3. Edward A. Codling
4. S. Benhamou
5. Kevin J. Painter
6. Philip K. Maini
7. Eamonn A. Gaffney
8. Ruth E. Baker

In Cell Biology

1. Kevin J. Painter
2. Paul C. Bressloff
3. Thomas Hillen
4. Michael Winkler
5. Philip K. Maini
6. Eamonn A. Gaffney
7. Ruth E. Baker
8. Christian Schmeiser

In Modeling and Simulation

1. Kevin J. Painter
2. Thomas Hillen
3. Paul C. Bressloff
4. Christian Schmeiser
5. Michael Winkler
6. Michael J. Plank
7. S. Benhamou
8. Edward A. Codling

Citations in the corpus

• Partial differential equations for self-organization in cellular and developmental biology (2008, methodology): “The networks underpinning signal transduction in bacterial chemotaxis are also being elucidated [103], and modelling frameworks are being developed to incorporate such information into macroscale PDE models [80].”
• A STATISTICAL MODEL OF CRIMINAL BEHAVIOR (2008, background): “Deriving continuum equations from the underlying micro-scale behavior of a system is a common procedure in mathematical biology.(33,39,19,15,14,22,4,18,3) It is no surprise, then, that Eqs.”
• A user’s guide to PDE models for chemotaxis (2009, methodology): “A model incorporating this was postulated in [77] and a detailed derivation, analytical and numerical study has been carried out by [37].”
• Stochastic switching in biology: from genotype to phenotype (2017, methodology): “It has subsequently been applied to a wide range of problems in biology, including bacterial chemotaxis [87, 128, 200], wave-like behavior in models of slow axonal transport [99, 100, 212], molecular motor-based models of random intermittent search [188, 189], and gene networks [151, 191].”
• Random walk models in biology (2008, background): “parabolic equations has been discussed in more detail by, for example, Othmer et al. (1988), Hillen & Othmer (2000), Hillen”
• Embedding of Semigroups of Lipschitz Maps into Positive Linear Semigroups on Ordered Banach Spaces Generated by Measures (2009, background): “cholerae [18, 19, 2] and the extension of these to amoebae like Dictyostelium discoideum [3, 11], and cell cycle models in which a cell divides at random time points coupled to deterministic growth [5].”