STOCHASTIC MODELLING OF A CHEMOTACTIC MICROSWIMMER

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STOCHASTIC MODELLING OF A CHEMOTACTIC MICROSWIMMER

Abstract:
Stochastic modelling plays a crucial role in understanding the behavior and dynamics of microscopic biological entities, such as chemotactic micro swimmers. Chemotaxis, the directed movement of organisms in response to chemical gradients, is a fundamental process observed in various biological systems. The objective of this study is to develop a stochastic model that captures the essential characteristics of chemotactic micro swimmers and provides insights into their movement patterns and response to chemical cues.

In this research, we propose a stochastic model for a chemotactic micro swimmer based on principles from statistical physics and random walk theory. We consider the micro swimmer as a self-propelled particle subjected to external chemical gradients. The model takes into account the stochastic nature of the micro swimmer’s motion, the interaction between the swimmer and the surrounding chemical environment, and the inherent randomness in the sensing and response mechanisms.

To simulate the behavior of the chemotactic micro swimmer, we employ a combination of Monte Carlo methods and numerical simulations. We incorporate the effects of random fluctuations in the swimming speed, rotational diffusion, and chemotactic sensitivity. By iteratively updating the position and orientation of the micro swimmer according to the model’s rules, we can observe the emergence of complex swimming trajectories and chemotactic responses.

Through the stochastic model, we investigate the influence of various parameters on the chemotactic behavior of the micro swimmer. These parameters include the strength and spatial distribution of the chemical gradient, the swimming speed, and the sensory noise. Our findings provide valuable insights into the interplay between stochasticity, chemotaxis, and the underlying physical properties of the micro swimmer.

The results of this study contribute to our understanding of chemotaxis in microorganisms and have potential implications in fields such as biophysics, microbiology, and bioengineering. By elucidating the stochastic nature of chemotactic micro swimmers, we pave the way for the design and control of artificial micro swimmers with enhanced chemotactic capabilities for applications in targeted drug delivery, environmental sensing, and microfluidic systems.

Keywords: stochastic modelling, chemotactic micro swimmer, random walk, chemotaxis, self-propelled particles, Monte Carlo simulation, biological systems, swimming trajectories, sensory noise, microorganisms, artificial micro  swimmers.

STOCHASTIC MODELLING OF A CHEMOTACTIC MICROSWIMMER. GET MORE PHYSICS PROJECT TOPICS AND MATERIALS

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