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The Principle of Maximum Entropy is a rigorous technique for estimating an unknown distribution given partial information while simultaneously minimizing bias. However, an important requirement for applying the principle is that the…

Information Theory · Computer Science 2026-02-03 Kenneth Bogert , Matthew Kothe

Consider the problem on sequential change-point detection on multiple data streams. We provide the asymptotic lower bounds of the detection delays at all levels of change-point sparsity and we derive a smaller asymptotic lower bound of the…

Statistics Theory · Mathematics 2023-06-02 Jingyan Huang

Living cells communicate information about physiological conditions by producing signaling molecules in a specific timed manner. Different conditions can result in the same total amount of a signaling molecule, differing only in the pattern…

Molecular Networks · Quantitative Biology 2018-10-09 Jackson O'Brien , Arvind Murugan

Living cells sense noisy biochemical signals crucial for survival, yet models incorporating intracellular signaling are limited. This study examines how cells sense chemotactic concentrations through phosphorylation readouts in Ca2+…

Subcellular Processes · Quantitative Biology 2025-08-22 Swoyam Srirupa , Pradeep , Vaibhav Wasnik

During the past century, biologists and mathematicians investigated two mechanisms underlying bacteria motion: the run phase during which bacteria move in straight lines and the tumble phase in which they change their orientation. When…

Analysis of PDEs · Mathematics 2025-05-19 Alain Blaustein

B cells signaling in response to antigen is proportional to antigen affinity, a process known as affinity discrimination. Recent research suggests that B cells can acquire antigen in membrane-bound form on the surface of antigen-presenting…

Cell Behavior · Quantitative Biology 2010-03-09 Philippos K. Tsourkas , Subhadip Raychaudhuri

Place an $A$-particle at each site of a graph independently with probability $p$ and otherwise place a $B$-particle. $A$- and $B$-particles perform independent continuous time random walks at rates $\lambda_A$ and $\lambda_B$, respectively,…

Probability · Mathematics 2023-08-02 Tobias Johnson , Matthew Junge , Hanbaek Lyu , David Sivakoff

This paper analyzes the channel impulse response of an absorbing receiver (RX) covered by multiple non-overlapping heterogeneous receptors with different sizes and arbitrary locations in a molecular communication system. In this system, a…

Emerging Technologies · Computer Science 2022-02-16 Xinyu Huang , Yuting Fang , Stuart T. Johnston , Matthew Faria , Nan Yang , Robert Schober

Single Particle Tracking (SPT) can aid in understanding complex spatio-temporal processes. However, quantifying diffusivity and forces from individual live cell trajectories is complicated by inter- & intra-trajectory kinetic heterogeneity,…

Quantitative Methods · Quantitative Biology 2016-05-19 Christopher P. Calderon

Metastasis is a process of cell migration that can be collective and guided by chemical cues. Viewing metastasis in this way, as a physical phenomenon, allows one to draw upon insights from other studies of collective sensing and migration…

Biological Physics · Physics 2016-03-10 Julien Varennes , Andrew Mugler

Eukaryotic cell development has been optimized by natural selection to obey maximal intracellular flux of messenger proteins. This, in turn, implies maximum Fisher information on angular position about a target nuclear pore complex (NPR).…

Subcellular Processes · Quantitative Biology 2014-05-01 B. R. Frieden , R. A. Gatenby

Despite tremendous potential of highly sensitive electronic detection of bio-molecules by nanoscale biosensors for genomics and proteomic applications, many aspects of experimentally observed sensor response (S) are unexplained within…

Soft Condensed Matter · Physics 2015-05-13 Pradeep R. Nair , Muhammad A. Alam

Cells can be considered as systems that utilize changes in thermodynamic entropy as information. Therefore, they serve as useful models for investigating the relationships between entropy production and information transmission, i.e.,…

Molecular Networks · Quantitative Biology 2017-03-09 Tatsuaki Tsuruyama

Directed cell motion in response to an external chemical gradient occurs in many biological phenomena such as wound healing, angiogenesis, and cancer metastasis. Chemotaxis is often characterized by the accuracy, persistence, and speed of…

Cell Behavior · Quantitative Biology 2019-06-19 Julien Varennes , Hye-ran Moon , Soutick Saha , Andrew Mugler , Bumsoo Han

Bacterial sensor systems can be used for the detection and measurement of molecular signal concentrations. The dynamics of the sensor directly depend on the biological properties of the bacterial sensor cells; manipulation of these features…

Molecular Networks · Quantitative Biology 2024-06-26 Florian Anderl , Gabriela Salvadori , Mladen Veletic , Fernanda Cristina Petersen , Ilangko Balasingham

Conventional photocells suffer a fundamental efficiency threshold imposed by the principle of detailed balance, reflecting the fact that good absorbers must necessarily also be fast emitters. This limitation can be overcome by `parking' the…

Quantum Physics · Physics 2016-11-15 Amir Fruchtman , Rafael Gómez-Bombarelli , Brendon W. Lovett , Erik M. Gauger

The ubiquity of information transmission via molecular communication between cells is comprehensively documented on Earth; this phenomenon might even have played a vital role in the origin(s) and early evolution of life. Motivated by these…

Earth and Planetary Astrophysics · Physics 2024-01-26 Manasvi Lingam

We present novel bounds on the capacity of the independent and identically distributed binary deletion channel. Four upper bounds are obtained by providing the transmitter and the receiver with genie-aided information on suitably-defined…

Information Theory · Computer Science 2008-10-07 Dario Fertonani , Tolga M. Duman

Molecular recognition, which is essential in processing information in biological systems, takes place in a crowded noisy biochemical environment and requires the recognition of a specific target within a background of various similar…

Biomolecules · Quantitative Biology 2010-07-27 Yonatan Savir , Tsvi Tlusty

We devise a method for predicting certain receptor-ligand binding behaviors, based on stochastic dynamical modelling. We consider the dynamics of a receptor binding to a ligand on the cell membrane, where the receptor and ligand perform…

Molecular Networks · Quantitative Biology 2023-02-17 Xi Chen , Hui Wang , Jinqiao Duan