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In simple perceptual decisions the brain has to identify a stimulus based on noisy sensory samples from the stimulus. Basic statistical considerations state that the reliability of the stimulus information, i.e., the amount of noise in the…

Neurons and Cognition · Quantitative Biology 2015-09-08 Sebastian Bitzer , Stefan J. Kiebel

In bistable actuators and other engineered devices, a homogeneous stimulus (e.g. mechanical, chemical, thermal, or magnetic) is often applied to an entire shell to initiate a snap-through instability. In this work, we demonstrate that…

Soft Condensed Matter · Physics 2021-08-24 Lucia Stein-Montalvo , Jeong-Ho Lee , Yi Yang , Melanie Landesberg , Harold S. Park , Douglas P. Holmes

Models for extreme values are generally derived from limit results, which are meant to be good enough approximations when applied to finite samples. Depending on the speed of convergence of the process underlying the data, these…

Statistics Theory · Mathematics 2019-02-20 Thomas Lugrin , Anthony C. Davison , Jonathan A. Tawn

The excitation of many cells and tissues is associated with cell mechanical changes. The evidence presented herein corroborates that single cells deform during an action potential (AP). It is demonstrated that excitation of plant cells…

Biological Physics · Physics 2018-07-17 Christian Fillafer , Matan Mussel , Julia Muchowski , Matthias F. Schneider

We report the results of analytic and numerical investigations of the time scale of survival or non-zero-crossing probability $S(t)$ in equilibrium step fluctuations described by Langevin equations appropriate for attachment/detachment and…

Statistical Mechanics · Physics 2007-05-23 C. Dasgupta , M. Constantin , S. Das Sarma , Satya N. Majumdar

Neurostimulation using weak electric fields has generated excitement in recent years due to its potential as a medical intervention. However, study of this stimulation modality has been hampered by inconsistent results and large variability…

Neurons and Cognition · Quantitative Biology 2020-01-29 Frances Hutchings , Christopher Thornton , Chencheng Zhang , Yujiang Wang , Marcus Kaiser

This paper proposes a discrete-time event-triggered extremum seeking control scheme for real-time optimization of nonlinear systems. Unlike conventional discrete-time implementations relying on periodic updates, the proposed approach…

Optimization and Control · Mathematics 2026-04-03 Victor Hugo Pereira Rodrigues , Tiago Roux Oliveira , Miroslav Krstić , Frank Allgöwer

Chemotaxis of the bacterium Escherichia coli is well understood in shallow chemical gradients, but its swimming behavior remains difficult to interpret in steep gradients. By focusing on single-cell trajectories from simulations, we…

Cell Behavior · Quantitative Biology 2018-02-14 Gabriele Micali , Remy Colin , Victor Sourjik , Robert G. Endres

We investigate, for the first time, the thermal signature of a single-stranded helical molecule that is described beyond usual nearest-neighbor electron hopping, by analyzing electronic specific heat. Depending on the hopping of electrons,…

Mesoscale and Nanoscale Physics · Physics 2024-08-05 Suparna Sarkar , Santanu K. Maiti , David Laroze

Quantitative single cell measurements have shown that cell cycle duration (the time between cell divisions) for diverse cell types is a noisy variable. The underlying distribution is mean scalable with a universal shape for many cell types…

Cell Behavior · Quantitative Biology 2016-03-07 Nash Rochman , Fangwei Si , Sean X. Sun

The run and tumble process is well established in order to describe the movement of bacteria in response to a chemical stimulus. However the relation between the tumbling rate and the internal state of bacteria is poorly understood. The…

Analysis of PDEs · Mathematics 2021-08-27 Benoit Perthame , Weiran Sun , Min Tang , Shugo Yasuda

Unraveling bacterial strategies for spatial exploration is crucial for understanding the complexity in the organization of life. Bacterial motility determines the spatio-temporal structure of microbial communities, controls infection…

Stick-slip motion, a common phenomenon observed during crawling of cells, is found to be strongly sensitive to the substrate stiffness. Stick-slip behaviours have previously been investigated typically using purely elastic substrates. For a…

Biological Physics · Physics 2019-07-31 Partho Sakha De , Rumi De

Sensory adaptation enables organisms to adjust their perception in a changing environment. A paradigm is bacterial chemotaxis, where the output activity of chemoreceptors is adapted to different baseline concentrations via receptor…

Cell Behavior · Quantitative Biology 2024-01-23 Vansh Kharbanda , Benedikt Sabass

We present a model describing the use of ultra-short strong pulses to control the population of the excited level of a two-level quantum system. In particular, we study an off-resonance excitation with a few cycles pulse which presents a…

Quantum Physics · Physics 2015-06-15 Pankaj K. Jha , Hichem Eleuch , Fabio Grazioso

We introduce the extremal range, a local statistic for studying the spatial extent of extreme events in random fields on $\mathbb{R}^d$. Conditioned on exceedance of a high threshold at a location $s$, the extremal range at $s$ is the…

Statistics Theory · Mathematics 2024-11-06 Ryan Cotsakis , Elena Di Bernardino , Thomas Opitz

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

We study an anomalous behavior observed in interacting E. coli populations. When two populations of E. coli are placed on opposite ends of a long channel with a supply of nutrient between them, they will travel as pulses toward one another…

Cell Behavior · Quantitative Biology 2017-04-25 Glenn Young , Mahmut Demir , Hanna Salman , G. Bard Ermentrout , Jonathan E. Rubin

According to the theory of efficient coding, sensory systems are adapted to represent natural scenes with high fidelity and at minimal metabolic cost. Testing this hypothesis for sensory structures performing non-linear computations on high…

Neurons and Cognition · Quantitative Biology 2018-04-13 Ulisse Ferrari , Christophe Gardella , Olivier Marre , Thierry Mora

In this paper, we consider a class of stochastic impulse control problem when there is a fixed delay $\Delta$ between the decision and execution times. The dynamics of the controlled system between two impulses is an arbitrary adapted…

Probability · Mathematics 2026-01-23 Said Hamadène , Ibtissam Hdhiri
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