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Area of Science:

  • Biophysics
  • Fluid Dynamics
  • Mathematical Biology

Background:

  • Many biological processes involve agents searching for targets in fluid environments.
  • Examples include marine animal reproduction and immune system functions.
  • These scenarios often feature Brownian motion influenced by fluid shear flow and chemical gradients.

Purpose of the Study:

  • To analyze the dynamics of a 2D target-searching agent under shear flow and chemical attraction.
  • To rigorously characterize the expected time to find a target in the large flow amplitude limit.
  • To numerically investigate search duration and identify optimal flow conditions.

Main Methods:

  • Theoretical analysis of Brownian motion in a 2D fluid.
  • Characterization of the large flow amplitude limit, reducing the problem to an effective 1D system.
  • Numerical computations to explore search dynamics and expected hit times.

Main Results:

  • The large flow amplitude limit effectively simplifies the problem to a one-dimensional scenario.
  • Numerical simulations reveal complex search dynamics.
  • An optimal shear flow value was identified that minimizes the expected target hit time.

Conclusions:

  • Optimal shear flow can significantly enhance target search efficiency.
  • The identified optimal flow conditions outperform the theoretical large flow amplitude limit.
  • This research provides insights into biological search strategies in fluid environments.