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Motion of cells and chemotaxis: Parabolic, hyperbolic and kinetic models are used to describe the collective motion and self-organization of cells or bacterial colonies.
Motivated by darwinian evolution : Multiplication, selection and mutations are principles that can be written in nonlocal parabolic models.
They give rise to solutions that concentrate as Dirac masses.
PDE models for neural assemblies : Closure of stochastic models of neuronal networks lead to interesting PDE models as the Integrate and Fire or Elapsed Time model.
Questions here are to understand desynchronsation, spontaneous activity, information coding.
Motion of cells and chemotaxis: Parabolic, hyperbolic and kinetic models are used to describe the collective motion and self-organization of cells or bacterial colonies.
Motivated by darwinian evolution : Multiplication, selection and mutations are principles that can be written in nonlocal parabolic models.
They give rise to solutions that concentrate as Dirac masses.
PDE models for neural assemblies : Closure of stochastic models of neuronal networks lead to interesting PDE models as the Integrate and Fire or Elapsed Time model.
Questions here are to understand desynchronsation, spontaneous activity, information coding.
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Bulletin of Mathematical Biologyno. 3 (2024): 1-19
Journal of Mathematical Biologyno. 3 (2024): 1-36
KINETIC AND RELATED MODELSno. 0 (2024): 0-0
arxiv(2024)
引用0浏览0引用
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Archive for Rational Mechanics and Analysisno. 3 (2024): 1-38
arxiv(2023)
arxiv(2023)
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