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Run-and-tumble motion with steplike responses to a stochastic input
Subrata Dev1, Sakuntala Chatterjee1
1Department of Theoretical Sciences, S. N. Bose National Centre for Basic Sciences, Block JD, Sector III, Salt Lake, Kolkata 700106, India.
Physical Review. E
|February 21, 2019
Summary
This study models a run-and-tumble random walk influenced by a signaling noise. We analyzed how signal dynamics affect the walker
Area of Science:
- Biophysics
- Statistical Mechanics
- Stochastic Processes
Background:
- Run-and-tumble motion is a fundamental model for biological motility.
- Stochastic signals can significantly influence the dynamics of random walkers.
Purpose of the Study:
- To characterize the impact of signaling noise on the long-time behavior of a run-and-tumble random walker.
- To investigate two distinct scenarios of signal dynamics: independent and walker-influenced.
Main Methods:
- Analytical calculation of run and tumble duration distributions for independent signal dynamics.
- Numerical measurement of steady-state position distribution for walker-influenced signal dynamics.
Main Results:
- The study analytically derives the mean and distribution of run/tumble durations when signal dynamics are independent.
- Numerical simulations reveal the steady-state position distribution when signal dynamics are coupled to walker location.
Conclusions:
- Signaling noise critically affects the long-time behavior of run-and-tumble walkers.
- The findings offer insights into biological systems like Escherichia coli chemotaxis.
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