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We explain the principles of gene expression pattern stabilization in systems of interacting, diffusible morphogens, with dynamically established source regions. Using a reaction-diffusion model with step-function production term, we…

Biological Physics · Physics 2023-03-02 M. Majka , R. D. J. G. Ho , M. Zagorski

The phage $\lambda$ infection of an \textit{E. coli} cell has become a paradigm for understanding the molecular processes involved in gene expression and cell signaling. This system provides an example of a genetic switch, as cells with…

Biological Physics · Physics 2012-04-10 Nathan Borggren

Epiboly, during which a tissue closes around the surface of the egg, pervades animal development. This epithelial gap closure involves cell intercalations at the edge of the gap. Here, inspired by serosa closure in the beetle Tribolium, we…

Soft Condensed Matter · Physics 2026-04-07 Maryam Setoudeh , Pierre A. Haas

Consider a branching process with a homogeneous reproduction law. Sampling a single cell uniformly from the population at a time $T > 0$ and looking along the sampled cell's ancestral lineage, we find that the reproduction law is…

Populations and Evolution · Quantitative Biology 2022-05-30 David Cheek , Samuel G. G. Johnston

This work aims at providing a mathematical and numerical framework for the analysis on the effects of pulsed electric fields on biological media. Biological tissues and cell suspensions are described as having a heteregeneous permittivity…

Analysis of PDEs · Mathematics 2015-04-03 Habib Ammari , Dehan Chen , Jun Zou

Multicellular organisms contain a wide variety of highly specialized cell types. The consistency and robustness of developmental trajectories suggest that complex gene regulatory networks effectively act as low-dimensional cell fate…

Cell Behavior · Quantitative Biology 2026-05-28 Maria Yampolskaya , Laertis Ikonomou , Pankaj Mehta

The rate at which individual bacterial cells grow depends on the concentrations of cellular components such as ribosomes and proteins. These concentrations continuously fluctuate over time and are inherited from mother to daughter cells,…

Populations and Evolution · Quantitative Biology 2024-08-21 Yaïr Hein , Farshid Jafarpour

Mammalian spatial navigation relies on specialized neurons, such as place and grid cells, which encode position based on self-motion and environmental cues. While extensive research has explored the computational role of grid cells, the…

Neurons and Cognition · Quantitative Biology 2026-03-02 Jared Deighton , Wyatt Mackey , Ioannis Schizas , David L. Boothe , Vasileios Maroulas

We present a conditional generative model to learn variation in cell and nuclear morphology and the location of subcellular structures from microscopy images. Our model generalizes to a wide range of subcellular localization and allows for…

Machine Learning · Statistics 2017-05-02 Gregory R. Johnson , Rory M. Donovan-Maiye , Mary M. Maleckar

In processes such as embryo shaping, wound healing, and malignant cell invasion, epithelial cells transition between dispersed phases, where the cells move independently, and condensed phases, where they aggregate and deform to close gaps,…

Soft Condensed Matter · Physics 2024-09-25 Anshuman Pasupalak , Zeng Wu , Massimo Pica Ciamarra

Transcription factor concentrations provide signals to cells that allow them to regulate gene expression to make correct cell fate decisions. Calculations for noise bounds in gene regulation suggest that clustering or cooperative binding of…

Biological Physics · Physics 2026-01-09 Tamara Mijatović , Aimée R. Kok , Merlijn Brüggen , Jos W. Zwanikken , Marianne Bauer

Individual components such as cells, particles, or agents within a larger system often require detailed understanding of their relative position to act accordingly, enabling the system as a whole to function in an organised and efficient…

Statistical Mechanics · Physics 2025-02-28 Jonas Berx , Prashant Singh , Karel Proesmans

We study fixed points of cellular automata with $N$ sites on random sparse graphs. In the large $N$ limit such models are known to exhibit phase transitions, from a ``frozen'' phase, where at most a finite number of sites fluctuate at long…

Statistical Mechanics · Physics 2026-05-04 Stav Marcus , Ari M. Turner , Guy Bunin , Bernard Derrida

In addition to their self-renewal capabilities, hematopoietic stem cells guarantee the continuous supply of fully differentiated, functional cells of various types in the peripheral blood. The process which controls differentiation into the…

Molecular Networks · Quantitative Biology 2007-05-23 Ingo Roeder , Ingmar Glauche

Establishing sharp and correctly positioned boundaries in spatial gene expression patterns is a central task, both in developmental and synthetic biology. We consider situations where a global morphogen gradient provides positional…

Biological Physics · Physics 2022-06-09 Mareike Bojer , Stephan Kremser , Ulrich Gerland

The metaphor of a potential epigenetic differentiation landscape broadly suggests that during differentiation a stem cell follows the steepest descending gradient toward a stable equilibrium state which represents the final cell type. It…

Cell Behavior · Quantitative Biology 2020-09-22 K. Wiesner , J. Teles , M. Hartnor , C. Peterson

Single-cell trajectory analysis aims to reconstruct the biological developmental processes of cells as they evolve over time, leveraging temporal correlations in gene expression. During cellular development, gene expression patterns…

Applications · Statistics 2026-03-30 Junhao Zhu , Kevin Zhang , Zhaolei Zhang , Dehan Kong

The evolutionary origins of structural features in reconstructed gene-regulatory networks (GRNs) remain poorly understood, especially given the random aspects of gene expression. Here, we extend a classical model of GRN evolution to allow a…

Populations and Evolution · Quantitative Biology 2026-04-30 Leonardo Ivan Estrella Dzib , James Holehouse

Recent evidence suggests that neural information is encoded in packets and may be flexibly routed from region to region. We have hypothesized that neural circuits are split into sub-circuits where one sub-circuit controls information…

Neurons and Cognition · Quantitative Biology 2017-03-17 Yuxiu Shao , Andrew T. Sornborger , Louis Tao

Knowing the location of a protein within the cell is important for understanding its function, role in biological processes, and potential use as a drug target. Much progress has been made in developing computational methods that predict…

Quantitative Methods · Quantitative Biology 2013-08-02 Ramanuja Simha , Hagit Shatkay
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