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The design of biologically-inspired wireless communication systems using bacteria as the basic element of the system is initially motivated by a phenomenon called \emph{Quorum Sensing}. Due to high randomness in the individual behavior of a…

Information Theory · Computer Science 2016-11-17 Arash Einolghozati , Mohsen Sardari , Faramarz Fekri

The persistent motion of bacteria produces clusters with a stationary cluster size distribution (CSD). Here we develop a minimal model for bacteria in a narrow channel to assess the relative importance of motility diversity (i.e.…

Soft Condensed Matter · Physics 2020-11-19 Pablo de Castro , Saulo Diles , Rodrigo Soto , Peter Sollich

Intracellular transport processes are essential to the healthy development of many organisms as well as more generally to healthy cellular function. The complex dynamics and interactions between protein molecules and filaments on different…

Dynamical Systems · Mathematics 2022-07-27 Maria-Veronica Ciocanel

At sufficiently high concentrations, motile bacteria suspended in fluids exhibit a range of ordered and disordered collective motions. Here we explore the combined effects of confinement, periodicity and curvature induced by the active…

Soft Condensed Matter · Physics 2023-08-16 J. S. Yodh , F. Giardina , S. Gokhale , L. Mahadevan

In this paper we use an individual-based model and its associated kinetic equation to study the generation of long jumps in the motion of E. coli. These models relate the run-and-tumble process to the intracellular reaction where the…

Analysis of PDEs · Mathematics 2019-11-11 Weiran Sun , Min Tang , Xiaoru Xue

Cellular membranes are elastic lipid bilayers that contain a variety of proteins, including ion channels, receptors, and scaffolding proteins. These proteins are known to diffuse in the plane of the membrane and to influence the bending of…

Soft Condensed Matter · Physics 2020-10-28 Arijit Mahapatra , David Saintillan , Padmini Rangamani

In many adult tissues, stem cells and differentiated cells are not homogeneously distributed : stem cells are arranged in periodic "niches", and differentiated cells are constantly produced and migrate out of these niches. In this article,…

Biological Physics · Physics 2016-03-23 Edouard Hannezo , Alice Coucke , Jean-François Joanny

We propose a model for cell polarization as a response to an external signal which results in a system of PDEs for different variants of a protein on the cell surface and interior respectively. We study stationary states of this model in…

Analysis of PDEs · Mathematics 2019-02-18 Barbara Niethammer , Matthias Röger , Juan J. L. Velázquez

The work is devoted to the analysis of cell population dynamics where cells make a choice between differentiation and apoptosis. This choice is based on the values of intracellular proteins whose concentrations are described by a system of…

Cell Behavior · Quantitative Biology 2016-03-30 Malay Banerjee , Vitaly Volpert

Cellular differentiation in a developping organism is studied via a discrete bistable reaction-diffusion model. A system of undifferentiated cells is allowed to receive an inductive signal emenating from its environment. Depending on the…

Pattern Formation and Solitons · Physics 2009-11-10 Gabor Fath , Zbigniew Domanski

Diverse processes--e.g. bioremediation, biofertilization, and microbial drug delivery--rely on bacterial migration in disordered, three-dimensional (3D) porous media. However, how pore-scale confinement alters bacterial motility is unknown…

Soft Condensed Matter · Physics 2019-05-09 Tapomoy Bhattacharjee , Sujit S. Datta

The mitotic spindle lies at the heart of the spatio-temporal control over cellular components during cell division. The spindle consists of microtubules, which are not only crosslinked by motor proteins but also by passive binding proteins.…

Biological Physics · Physics 2020-08-19 Harmen Wierenga , Pieter Rein ten Wolde

Protein aggregation is of particular interest due to its connection with many diseases and disorders. Many factors can alter the dynamics and result of this process, one of them being the diffusivity of the monomers and aggregates in the…

Evolution has provided many organisms with sophisticated sensory systems that enable them to respond to signals in their environment. The response frequently involves alteration in the pattern of movement, such as the chemokinesis of the…

Molecular Networks · Quantitative Biology 2009-11-10 Reka Albert , Yu-wen Chiu , Hans G. Othmer

In $\textit{Escherichia coli}$ bacterium, the molecular compounds involved in protein synthesis, messenger RNAs (mRNAs) and ribosomes, show marked intracellular localization patterns. Yet a quantitative understanding of the physical…

Biological Physics · Physics 2019-05-28 Jacky Nguyen , Michele Castellana

We introduce and theoretically investigate a minimal particle-based model for a new class of active matter where particles exhibit directional, volume-conserving division in confinement while interacting sterically, mimicking cells in early…

Soft Condensed Matter · Physics 2024-10-01 Samantha R. Lish , Lukas Hupe , Ramin Golestanian , Philip Bittihn

Reaction-diffusion models with nonlocal constraints naturally arise as limiting cases of coupled bulk-surface models of intracellular signalling. In this paper, a minimal, mass-conserving model of cell-polarization on a curved membrane is…

Pattern Formation and Solitons · Physics 2022-10-04 Pearson W. Miller , Daniel Fortunato , Matteo Novaga , Stanislav Y. Shvartsman , Cyrill B. Muratov

Plasmids are autonomously replicating genetic elements in bacteria. At cell division plasmids are distributed among the two daughter cells. This gene transfer from one generation to the next is called vertical gene transfer. We study the…

Analysis of PDEs · Mathematics 2018-11-20 Eva Stadler

We consider processes that coincide with a given diffusion process except on the boundaries of a finite collection of domains. The behavior on each of the boundaries is asymmetric: the process is much more likely to enter the interior of…

Probability · Mathematics 2020-03-18 Mark Freidlin , Leonid Koralov

In this letter, we show that pore-scale diffusiophoresis of colloidal particles along local salt gradients manifests in the macroscopic dispersion of particles in a porous medium. Despite is transient character, this microscopic phenomenon…

Soft Condensed Matter · Physics 2023-03-16 Mamta Jotkar , Pietro de Anna , Marco Dentz , Luis Cueto-Felgueroso