Kevin J. Painter

1. A user’s guide to PDE models for chemotaxis
   2008/07/14 by T. Hillen, Thomas Hillen, Kevin J. Painter +1 · 70 citations
   Mathematics · Biochemistry, Genetics and Molecular Biology · #Mathematical Biology Tumor Growth #Gene Regulatory Network Analysis #Microtubule and mitosis dynamics
2. Mathematical models for chemotaxis and their applications in self-organisation phenomena
   2018/06/22 by Kevin J. Painter, Painter, K. J. · 9 citations
   Biochemistry, Genetics and Molecular Biology · Engineering · Mathematics · #92C17 #Cell Behavior (q-bio.CB) #FOS: Biological sciences #Gene Regulatory Network Analysis #Mathematical Biology Tumor Growth #Quantitative Methods (q-bio.QM) #Slime Mold and Myxomycetes Research
3. Leadership through influence: what mechanisms allow leaders to steer a\n swarm?
   2021/02/09 by Sara Bernardi, Raluca Eftimie, Bernardi, Sara +3 · 3 citations
   Social Sciences · Biochemistry, Genetics and Molecular Biology · Environmental Science · #Evolutionary Game Theory and Cooperation #Insect and Arachnid Ecology and Behavior #Ecosystem dynamics and resilience
4. Mathematical models for cell migration: a nonlocal perspective
   2019/11/12 by Li Chen, Kevin J. Painter, Chen, Li +5 · 1 citation
   Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #Analysis of PDEs (math.AP) #Cancer Cells and Metastasis #Cell Behavior (q-bio.CB) #Cellular Mechanics and Interactions #FOS: Biological sciences #FOS: Mathematics #Mathematical Biology Tumor Growth
5. Nonlocal and local models for taxis in cell migration: a rigorous limit\n procedure
   2019/08/27 by Maria Krasnianski, Krasnianski, Maria, Kevin J. Painter +5 · 1 citation
   Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Cellular Mechanics and Interactions #FOS: Mathematics #Mathematical Biology Tumor Growth #Numerical methods for differential equations
6. Direction-Dependent Turning Leads to Anisotropic Diffusion and\n Persistence
   2021/01/12 by Nadia Loy, Thomas Hillen, Loy, Nadia +3 · 1 citation
   Computer Science · Mathematics · Biochemistry, Genetics and Molecular Biology · #Advanced Mathematical Modeling in Engineering #Mathematical Biology Tumor Growth #Cellular Mechanics and Interactions
7. The impact of phenotypic heterogeneity on chemotactic self-organisation
   2022/06/29 by Fiona R. Macfarlane, Tommaso Lorenzi, Macfarlane, Fiona R +3 · 1 citation
   Mathematics · Medicine · #Analysis of PDEs (math.AP) #Cell Behavior (q-bio.CB) #FOS: Biological sciences #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models
8. Trait-structured chemotaxis: Exploring ligand-receptor dynamics and travelling wave properties in a Keller-Segel model
   2025/02/26 by Viktoria Freingruber, Freingruber, Viktoria, Tommaso Lorenzi +5 · 3 citations
   Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #35B40 #35R99 #92C17 #Cell Behavior (q-bio.CB) #FOS: Biological sciences #Gene Regulatory Network Analysis #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models
9. Phenotype switching in chemotaxis aggregation models controls the spontaneous emergence of large densities
   2022/10/10 by Kevin J. Painter, Painter, Kevin J, Michael Winkler +1 · 1 citation
   Biochemistry, Genetics and Molecular Biology · Environmental Science · Mathematics · #35B36 #35B44 (primary) #35B45 #35K55 #92C17 (secondary) #Analysis of PDEs (math.AP) #Ecosystem dynamics and resilience #FOS: Mathematics #Gene Regulatory Network Analysis #Mathematical Biology Tumor Growth
10. On the study of slow-fast dynamics, when the fast process has multiple invariant measures
    2023/05/08 by Benjamin D. Goddard, Michela Ottobre, Goddard, B. D. +5 · 1 citation
    Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #34C29 #34D05 #34E10 #34F05 #37H10 #60K35 #Complex Network Analysis Techniques #FOS: Mathematics #Gene Regulatory Network Analysis #Probability (math.PR) #Stochastic processes and statistical mechanics
11. A biased random walk approach for modeling the collective chemotaxis of neural crest cells
    2023/10/02 by Viktoria Freingruber, Kevin J. Painter, Freingruber, Viktoria +5 · 1 citation
    Mathematics · Physics and Astronomy · Biochemistry, Genetics and Molecular Biology · #Mathematical Biology Tumor Growth #Micro and Nano Robotics #Cellular Mechanics and Interactions