A Kinetic Chemotaxis Model with Internal States and Temporal Sensing

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By employing the Fourier transform to derive key a priori estimates for the temporal gradient of the chemical signal, we establish the existence of global solutions and hydrodynamic limit of a chemotactic kinetic model with internal states and temporal gradient in one dimension, which is a system of two transport equations coupled to a parabolic equation proposed in [4]

Original languageEnglish
Pages (from-to)27-48
Number of pages22
JournalKinetic and Related Models
Issue number1
Publication statusPublished - Feb 2022


  • Global solutions
  • Hyperbolic limits
  • Internal states
  • Kinetic chemotaxis model
  • Temporal gradient

ASJC Scopus subject areas

  • Numerical Analysis
  • Modelling and Simulation


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