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A one-dimensional three-state run-and-tumble model with a ‘cell cycle’
AbstractWe study a one-dimensional three-state run-and-tumble model motivated by the bacterium Caulobacter crescentus which displays a cell cycle...
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Run-and-Tumble Motion: The Role of Reversibility
We study a model of active particles that perform a simple random walk and on top of that have a preferred direction determined by an internal state...
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On the Telegraph Process Driven by Geometric Counting Process with Poisson-Based Resetting
We investigate the effects of the resetting mechanism to the origin for a random motion on the real line characterized by two alternating velocities
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On Some Finite-Velocity Random Motions Driven by the Geometric Counting Process
We study a stochastic process which describes the dynamics of a particle performing a finite-velocity random motion whose velocities alternate...
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Clustering and finite size effects in a two-species exclusion process
We study a two-species totally asymmetric exclusion process (TASEP) in 1D lattice in which the particles of both species move stochastically in...
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Gait switching and targeted navigation of microswimmers via deep reinforcement learning
Swimming microorganisms switch between locomotory gaits to enable complex navigation strategies such as run-and-tumble to explore their environments...
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Series Representations for the Characteristic Function of the Multidimensional Markov Random Flight
We consider the symmetric Markov random flight, also called the persistent random walk, performed by a particle that moves at constant finite speed...
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High shear flow prevents bundling of bacterial flagella and induces lateral migration away from a wall
Since the discovery of bacteria in the 17 th century, bacterial motion has been the focus of great research interest. As an example of bacterial...
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Transient pattern formation in an active matter contact poisoning model
One of the most notable features in repulsive particle based active matter systems is motility-induced-phase separation (MIPS) where a dense, often...
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Effect of switching time scale of receptor activity on chemotactic performance of Escherichia coli
In the chemotactic motion of Escherichia coli , the switching of transmembrane chemoreceptors between active and inactive states is one of the most...
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Escherichia coli chemotaxis is information limited
Organisms acquire and use information from their environment to guide their behaviour. However, it is unclear whether this information quantitatively...
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Opto-thermoelectric microswimmers
Inspired by the “run-and-tumble” behaviours of Escherichia coli ( E. coli ) cells, we develop opto-thermoelectric microswimmers. The microswimmers are...
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Inertial active harmonic particle with memory induced spreading by viscoelastic suspension
AbstractWe investigate the self-propulsion of an inertial active particle confined in a two-dimensional harmonic trap. The particle is suspended in a...
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Random Walks: Brownian Motion and the Tree of Life
In this chapter discusses random walks. We explore the application of random walks to three biologically relevant phenomena. The first is Brownian...
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Ergodic Theory of Multi-layer Interacting Particle Systems
We consider a class of multi-layer interacting particle systems and characterize the set of ergodic probability measures with finite moments. The...
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Time irreversibility in active matter, from micro to macro
Active matter encompasses systems whose individual constituents dissipate energy to exert propelling forces on their environment. These systems...
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A perspective on active glassy dynamics in biological systems
Dynamics is central to living systems. Many experiments in the last two decades have revealed glassy dynamics in diverse biological systems, showing...
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Introduction
A unifying characteristic of various living organisms is that they can extract and consume energy in order to move, apply mechanical forces or deform...
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Motion of Microorganisms
Microorganisms, with their moving appendages and the ability to deform their body, display a much wider variety of propulsion modes than colloidal...
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On the Consistency of the Reaction-Telegraph Process Within Finite Domains
Reaction-telegraph equation (RTE) is a mathematical model that has often been used to describe natural phenomena, with specific applications ranging...
