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We investigate the boundary between chemotaxis driven by spatial estimation of gradients and chemotaxis driven by temporal estimation. While it is well known that spatial chemotaxis becomes disadvantageous for small organisms at high noise…

Neural and Evolutionary Computing · Computer Science 2024-06-18 Albert Alonso , Julius B. Kirkegaard

Biological cells are often found to sense their chemical environment near the single-molecule detection limit. Surprisingly, this precision is higher than simple estimates of the fundamental physical limit, hinting towards active sensing…

Biological Physics · Physics 2015-11-06 Gerardo Aquino , Luke Tweedy , Doris Heinrich , Robert G. Endres

When a single cell senses a chemical gradient and chemotaxes, stochastic receptor-ligand binding can be a fundamental limit to the cell's accuracy. For clusters of cells responding to gradients, however, there is a critical difference: even…

Cell Behavior · Quantitative Biology 2017-11-09 Brian A. Camley , Wouter-Jan Rappel

Biological systems perform an astonishing array of dynamical processes -- including development and repair, regulation, behavior and motor control, sensing and signaling, and adaptation, among others. Powered by the transduction of stored…

Soft Condensed Matter · Physics 2025-09-04 James Clarke , Jake McGrath , Colin Johnson , José Alvarado

Biochemical networks can respond to temporal characteristics of time-varying signals. To understand how reliably biochemical networks can transmit information we must consider how an input signal as a function of time--the input…

Molecular Networks · Quantitative Biology 2015-05-13 Filipe Tostevin , Pieter Rein ten Wolde

The design and implementation of regulation motifs ensuring robust perfect adaptation are challenging problems in synthetic biology. Indeed, the design of high-yield robust metabolic pathways producing, for instance, drug precursors and…

Optimization and Control · Mathematics 2021-12-21 Corentin Briat , Christoph Zechner , Mustafa Khammash

We present a novel formulation for biochemical reaction networks in the context of signal transduction. The model consists of input-output transfer functions, which are derived from differential equations, using stable equilibria. We select…

Molecular Networks · Quantitative Biology 2013-02-26 Gabriele Scheler

In order to transmit biochemical signals, biological regulatory systems dissipate energy with concomitant entropy production. Additionally, signaling often takes place in challenging environmental conditions. In a simple model regulatory…

Molecular Networks · Quantitative Biology 2015-09-30 Francesca Mancini , Matteo Marsili , Aleksandra M. Walczak

Cells and microorganisms adopt various strategies to migrate in response to different environmental stimuli. To date, many modeling research has focused on the crawling-based Dictyostelium discoideum (Dd) cells migration induced by…

Tissues and Organs · Quantitative Biology 2021-04-20 Qixuan Wang , Hao Wu

Bacteria can adjust their swimming behaviour in response to chemical variations, a phenomenon known as chemotaxis. This process is characterised by a drift velocity that depends non-linearly on the concentration of chemical species and its…

Fluid Dynamics · Physics 2026-05-07 Adam Gargasson , Julien Bouvard , Carine Douarche , Peter Mergaert , Harold Auradou

This paper studies a chemotaxis system where cells move in response to a chemical signal within a confined habitat. The model includes external source terms that combine local and nonlocal growth with dampening effects. The main focus is on…

Analysis of PDEs · Mathematics 2025-11-11 Rafael Diaz Fuentes , Fatma Gamze Duzgun , Silvia Frassu , Giuseppe Viglialoro

Chemotaxis enables marine bacteria to increase encounters with phytoplankton cells by reducing their search times, provided that bacteria detect noisy chemical gradients around phytoplankton. Gradient detection depends on bacterial…

Biological Physics · Physics 2025-01-14 Riccardo Foffi , Douglas R. Brumley , François Peaudecerf , Roman Stocker , Jonasz Słomka

Bacteria such as Escherichia coli move about in a series of runs and tumbles: while a run state (straight motion) entails all the flagellar motors spinning in counterclockwise mode, a tumble is caused by a shift in the state of one or more…

Quantitative Methods · Quantitative Biology 2020-01-08 C. S. Renadheer , Ushasi Roy , Manoj Gopalakrishnan

Polymer membranes are typically assumed to be inert and nonresponsive to the flux and density of the permeating particles in transport processes. Here, we study theoretically the consequences of membrane responsiveness and feedback on the…

Soft Condensed Matter · Physics 2023-03-22 Sebastian Milster , Won Kyu Kim , Joachim Dzubiella

Robot navigation around humans can be a challenging problem since human movements are hard to predict. Stochastic model predictive control (MPC) can account for such uncertainties and approximately bound the probability of a collision to…

Robotics · Computer Science 2024-07-22 Yunfan Gao , Florian Messerer , Niels van Duijkeren , Moritz Diehl

The chemotaxis sensory system allows bacteria such as Escherichia coli to swim towards nutrients and away from repellents. The underlying pathway is remarkably sensitive in detecting chemical gradients over a wide range of ambient…

Cell Behavior · Quantitative Biology 2016-02-17 Stephan Eismann , Robert G. Endres

In order to robustly execute a task under environmental uncertainty, a robot needs to be able to reactively adapt to changes arising in its environment. The environment changes are usually reflected in deviation from expected sensory…

Robotics · Computer Science 2018-09-19 Giovanni Sutanto , Zhe Su , Stefan Schaal , Franziska Meier

In the chemotactic motion of Escherichia coli, the switching of transmembrane chemoreceptors between active and inactive states is one of the most important steps of the signaling pathway. We study the effect of this switching time-scale on…

Cell Behavior · Quantitative Biology 2022-08-18 Shobhan Dev Mandal , Sakuntala Chatterjee

Snake robots have the potential to maneuver through tightly packed and complex environments. One challenge in enabling them to do so is the complexity in determining how to coordinate their many degrees-of-freedom to create purposeful…

Robotics · Computer Science 2020-12-10 Tianyu Wang , Julian Whitman , Matthew Travers , Howie Choset

Living microorganisms are capable of a tactic response to external stimuli by swimming towards or away from the stimulus source; they do so by adapting their tactic signal transduction pathways to the environment. Their self-motility thus…

Soft Condensed Matter · Physics 2016-10-12 Alexander Geiseler , Peter Hänggi , Fabio Marchesoni , Colm Mulhern , Sergey Savel'ev
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