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Berg and Purcell [Biophys. J. 20, 193 (1977)] calculated how the accuracy of concentration sensing by single-celled organisms is limited by noise from the small number of counted molecules. Here we generalize their results to the sensing of…

Molecular Networks · Quantitative Biology 2011-11-28 Thierry Mora , Ned S. Wingreen

Living cells often need to extract information from biochemical signals that are noisy. We study how accurately cells can measure chemical concentrations with signaling networks that are linear. For stationary signals of long duration, they…

Molecular Networks · Quantitative Biology 2015-06-11 Christopher C. Govern , Pieter Rein ten Wolde

How cells reliably infer information about their environment is a fundamentally important question. While sensing and signaling generally start with cell-surface receptors, the degree of accuracy with which a cell can measure external…

Biological Physics · Physics 2016-01-20 Gerardo Aquino , Ned S. Wingreen , Robert G. Endres

Cells adapt to changing environments by sensing ligand concentrations using specific receptors. The accuracy of sensing is ultimately limited by the finite number of ligand molecules bound by receptors. Previously derived physical limits to…

Subcellular Processes · Quantitative Biology 2019-11-13 Thierry Mora , Ilya Nemenman

This work reports on two results. At first we revisit the Berg and Purcell calculation that provides a lower bound to the error in concentration measurement by cells, by considering the realistic case when the cell starts measuring the…

Subcellular Processes · Quantitative Biology 2022-04-06 Vaibhav Wasnik

In recent years experiments have demonstrated that living cells can measure low chemical concentrations with high precision, and much progress has been made in understanding what sets the fundamental limit to the precision of chemical…

Molecular Networks · Quantitative Biology 2015-05-26 Pieter Rein ten Wolde , Nils B. Becker , Thomas E. Ouldridge , A. Mugler

Living cells deploy many resources to sense their environments, including receptors, downstream signaling molecules, time and fuel. However, it is not known which resources fundamentally limit the precision of sensing, like weak links in a…

Molecular Networks · Quantitative Biology 2014-01-31 Christopher C. Govern , Pieter Rein ten Wolde

Accurate sensing of chemical concentrations is essential for numerous biological processes. The accuracy of this sensing, for small numbers of molecules, is limited by shot noise. Corresponding theoretical limits on sensing precision, as a…

Biological Physics · Physics 2026-02-09 Ketevan Danelia , Sean A. Ridout , Ilya Nemenman

To adapt their behaviour in changing environments, cells sense concentrations by binding external ligands to their receptors. However, incorrect ligands may bind nonspecifically to receptors, and when their concentration is large, this…

Molecular Networks · Quantitative Biology 2015-07-23 Thierry Mora

Biological sensory systems generally operate out of equilibrium, which often leads to their improved performance. Here, we study the sensitivity of ligand concentration for a general receptor model, which is generally in the non-equilibrium…

Biological Physics · Physics 2017-06-27 Takashi Okada

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

The precision of concentration sensing is improved when cells communicate. Here we derive the physical limits to concentration sensing for cells that communicate over short distances by directly exchanging small molecules (juxtacrine…

Biological Physics · Physics 2017-03-15 Sean Fancher , Andrew Mugler

From nutrient uptake, to chemoreception, to synaptic transmission, many systems in cell biology depend on molecules diffusing and binding to membrane receptors. Mathematical analysis of such systems often neglects the fact that receptors…

Quantitative Methods · Quantitative Biology 2021-06-16 Gregory Handy , Sean D Lawley

Living cells often need to measure chemical concentrations that vary in time. To this end, they deploy many resources, e.g. receptors, downstream signaling molecules, time and energy. Here, we present a theory for the optimal design of a…

Molecular Networks · Quantitative Biology 2019-02-26 G. Malaguti , P. R. ten Wolde

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

In 1977 Berg & Purcell published a landmark paper entitled "Physics of Chemoreception" which examined how a bacterium can sense a chemical attractant in the fluid surrounding it. At small scales the attractant molecules move by Brownian…

Analysis of PDEs · Mathematics 2017-07-18 Andrew J. Bernoff , Alan E. Lindsay

Microorganisms like bacteria can sense concentration of chemo-attractants in its medium very accurately. They achieve this through interaction between the receptors on their cell surface and the chemo-attractant molecules (like sugar). But…

Soft Condensed Matter · Physics 2015-06-04 Surya K. Ghosh , Tapanendu Kundu , Anirban Sain

Many types of cells are able to accurately sense shallow gradients of chemicals across their diameters, allowing the cells to move towards or away from chemical sources. This chemotactic ability relies on the remarkable capacity of cells to…

Cell Behavior · Quantitative Biology 2015-05-13 Robert G. Endres , Ned S. Wingreen

Spatial information from cell-surface receptors is crucial for processes that require signal processing and sensing of the environment. Here, we investigate the optimal placement of such receptors through a theoretical model that minimizes…

Biological Physics · Physics 2025-04-17 Albert Alonso , Robert G. Endres , Julius B. Kirkegaard

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
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