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Memoryless chemotaxis with discrete cues.

Jacob Knight1, Paula García-Galindo2, Johannes Pausch1

  • 1Department of Mathematics, Imperial College London, South Kensington, London SW7 2BZ, UK.

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|July 31, 2024
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Summary
This summary is machine-generated.

This study reveals how discrete chemoattractant molecules impact cell navigation. Introducing discrete molecules creates a homing radius, affecting chemotaxis reliability in biological systems.

Keywords:
cell navigationchemotaxismathematical biologysearch strategy

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Area of Science:

  • Cellular biology
  • Biophysics
  • Biochemical signaling

Background:

  • Biological systems like axonal growth cones exhibit chemotaxis at small scales.
  • Existing models assume continuous chemical gradients, which may not apply to sparse molecular environments.

Purpose of the Study:

  • To investigate the impact of discrete chemoattractant molecules on cell chemotaxis.
  • To develop a minimal dynamical model for chemotaxis with discrete signals.

Main Methods:

  • Constructed a minimal dynamical model of a chemotactic cell without internal memory.
  • Simulated cell behavior under both smoothly varying and discrete chemical gradients.

Main Results:

  • Observed significant behavioral differences between continuous and discrete gradient conditions.
  • Identified the emergence of a 'homing radius' beyond which chemotaxis becomes unreliable.

Conclusions:

  • Discrete chemoattractant molecules fundamentally alter chemotactic behavior compared to continuous gradients.
  • The homing radius is a critical factor limiting reliable chemotaxis in sparse molecular environments.