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Biological cells are able to accurately sense chemicals with receptors at their surfaces, allowing cells to move towards sources of attractant and away from sources of repellent. The accuracy of sensing chemical concentration is ultimately…

Subcellular Processes · Quantitative Biology 2015-05-14 Robert G. Endres , Ned S. Wingreen

In biological cells and novel diagnostic devices biochemical receptors need to be sensitive to extremely small concentration changes of signaling molecules. The accuracy of such molecular signaling is ultimately limited by the counting…

Subcellular Processes · Quantitative Biology 2023-04-06 Aljaz Godec , Ralf Metzler

Experimental evidence lends support to the conjecture that the ability of chains of cells to sense the gradient of an external chemical concentration could rely on cell-to-cell communication. This is the basis for the gradient sensing…

Quantitative Methods · Quantitative Biology 2021-02-24 Dallas Foster , Collin Victor , Brian Frost , Juan M. Restrepo

The fundamental processes of biological development are governed by multiple signaling molecules that create non-uniform concentration profiles known as morphogen gradients. It is widely believed that the establishment of morphogen…

Biological Physics · Physics 2015-06-18 Hamid Teimouri , Anatoly B. Kolomeisky

Sensory systems have evolved to respond to input stimuli of certain statistical properties, and to reliably transmit this information through biochemical pathways. Hence, for an experimentally well-characterized sensory system, one ought to…

Cell Behavior · Quantitative Biology 2014-10-30 Diana Clausznitzer , Gabriele Micali , Silke Neumann , Victor Sourjik , Robert G. Endres

Cell migration often exhibits long-range temporal correlations and anomalous diffusion, even in the absence of external guidance cues such as chemical gradients or topographical constraints. These observations raise a fundamental question:…

Quantitative Methods · Quantitative Biology 2025-11-25 Gustavo Cornejo-Olea , Lucas Buvinic , Jerome Darbon , Radek Erban , Andrea Ravasio , Anastasios Matzavinos

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

We consider a network of agents that locate themselves in an environment through sensor measurements and aim to transmit a message signal to a base station via collaborative beamforming. The agents' sensor measurements result in…

Signal Processing · Electrical Eng. & Systems 2021-03-19 Erfaun Noorani , Yagiz Savas , Alec Koppel , John Baras , Ufuk Topcu , Brian M. Sadler

Cells respond to chemical cues, and the precision with which they can sense these cues is fundamentally limited by the stochastic nature of diffusion and ligand binding. Berg and Purcell famously investigated how well a small sensor in an…

Biological Physics · Physics 2025-03-21 Daniel R. McCusker , David K. Lubensky

Eukaryotic cells generally sense chemical gradients using the binding of chemical ligands to membrane receptors. In order to perform chemotaxis effectively in different environments, cells need to adapt to different concentrations. We…

Cell Behavior · Quantitative Biology 2026-04-20 Vishnu Srinivasan , Wei Wang , Brian A. Camley

Purpose: Stimulated echo acquisition mode (STEAM) diffusion MRI can be advantageous over pulsed-gradient spin-echo (PGSE) for diffusion times that are long compared to $\ttwo$. It is important therefore for biomedical diffusion imaging…

Medical Physics · Physics 2013-06-13 Daniel C. Alexander , Tim B. Dyrby

We introduce a distributed, cooperative framework and method for Bayesian estimation and control in decentralized agent networks. Our framework combines joint estimation of time-varying global and local states with information-seeking…

Systems and Control · Computer Science 2015-09-24 Florian Meyer , Henk Wymeersch , Markus Fröhle , Franz Hlawatsch

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

Artificially engineered biosensors are highly inefficient in accurately measuring the concentration of biomarkers, particularly, during early diagnosis of diseases. On the other hand, single cellular systems such as chemotactic bacteria can…

Biological Physics · Physics 2019-07-12 Tuhin Chakrabortty , Manoj M Varma

In both biological and artificial systems, concentration gradients can serve as a convenient mechanism for manipulating particles and generating motility. Particles that interact with a solute will move along its gradient; if they…

Soft Condensed Matter · Physics 2011-07-21 Gareth P. Alexander , Andrea J. Liu

We present an application of automatic differentiation for particle transport through matter using a Geant4-like radiation transport simulation with a full electromagnetic physics model. When differentiating this step-based transport, we…

Instrumentation and Detectors · Physics 2026-05-11 Jeffrey Krupa , Yiyang Zhao , Mihaly Novak , Max Aehle , Max Sagebaum , Long Chen , Nicolas Gauger , Miaoyuan Liu , Lukas Heinrich , Michael Kagan

We introduce and study the problem of detecting whether an agent is updating their prior beliefs given new evidence in an optimal way that is Bayesian, or whether they are biased towards their own prior. In our model, biased agents form…

Computer Science and Game Theory · Computer Science 2024-10-31 Yiling Chen , Tao Lin , Ariel D. Procaccia , Aaditya Ramdas , Itai Shapira

Single-spin quantum sensors, for example based on nitrogen-vacancy centres in diamond, provide nanoscale mapping of magnetic fields. In applications where the magnetic field may be changing rapidly, total sensing time is crucial and must be…

Quantum Physics · Physics 2021-05-26 K. Craigie , E. M. Gauger , Y. Altmann , C. Bonato

Analysis of signal fluctuations of a locally fixed probe, caused by molecules diffusing under the probe, can be used to determine diffusion coefficients. Theoretical treatments so far have been limited to point-like particles or to…

Statistical Mechanics · Physics 2015-06-18 Susanne Hahne , Philipp Maass

We discovered a class of self-similar solutions in nonlinear models describing the formation of morphogen gradients, the concentration fields of molecules acting as spatial regulators of cell differention in developing tissues. These models…

Quantitative Methods · Quantitative Biology 2015-05-28 Cyrill B. Muratov , Peter V. Gordon , Stanislav Y. Shvartsman