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Biological organisms adapt to changes by processing informations from different sources, most notably from their ancestors and from their environment. We review an approach to quantify these informations by analyzing mathematical models of…

Populations and Evolution · Quantitative Biology 2016-03-23 Olivier Rivoire

Genetic regulatory networks enable cells to respond to the changes in internal and external conditions by dynamically coordinating their gene expression profiles. Our ability to make quantitative measurements in these biochemical circuits…

Biological Physics · Physics 2015-03-17 Aleksandra M Walczak , Gašper Tkačik

During embryonic development, differentiating cells respond via gene expression to positional cues from morphogen gradients. While gene expression is often highly erratic, embryonic development is precise. We show by theory and simulations…

Cell Behavior · Quantitative Biology 2015-05-13 Thorsten Erdmann , Martin Howard , Pieter Rein ten Wolde

Multisite protein phosphorylation plays a pivotal role in regulating cellular signaling and decision-making processes. In this study, we focus on the mathematical underpinnings and informational aspects of sequential, distributive…

Molecular Networks · Quantitative Biology 2025-07-22 Iman Tavassoly , Adel Mehrpooya , Parsa Mirlohi , Zahra Abbaspourasadollah

The regulatory process of Drosophila is thoroughly studied for understanding a great variety of biological principles. While pattern-forming gene networks are analysed in the transcription step, post-transcriptional events (e.g.…

Machine Learning · Statistics 2021-11-04 Andrés F. López-Lopera , Nicolas Durrande , Mauricio A. Alvarez

Based on a recently proposed non-equilibrium mechanism for spatial pattern formation [cond-mat/0312366] we study how morphogenesis can be controlled by locally coupled discrete dynamical networks, similar to gene regulation networks of…

Molecular Networks · Quantitative Biology 2007-05-23 Thimo Rohlf , Stefan Bornholdt

Embryonic development is driven by spatial patterns of gene expression that determine the fate of each cell in the embryo. While gene expression is often highly erratic, embryonic development is usually exceedingly precise. In particular,…

Molecular Networks · Quantitative Biology 2015-06-11 Thomas R. Sokolowski , Thorsten Erdmann , Pieter Rein ten Wolde

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

Using information theory, we propose an estimation method for traits parameters in a Darwinian evolution model for species with on trait or multiple traits. We use the Fisher's information to obtain the errors on the estimation for one…

Populations and Evolution · Quantitative Biology 2024-03-11 Eddy Kwessi

Embryonic development leads to the reproducible and ordered appearance of complexity from egg to adult. The successive differentiation of different cell types, that elaborates this complexity, result from the activity of gene networks and…

Quantitative Methods · Quantitative Biology 2022-05-11 David A. Rand , Archishman Raju , Meritxell Saez , Francis Corson , Eric D. Siggia

While most processes in biology are highly deterministic, stochastic mechanisms are sometimes used to increase cellular diversity, such as in the specification of sensory receptors. In the human and Drosophila eye, photoreceptors sensitive…

Cell Behavior · Quantitative Biology 2019-03-06 Haleh Ebadi , Michael Perry , Keith Short , Konstantin Klemm , Claude Desplan , Peter F. Stadler , Anita Mehta

Embryogenesis is a multiscale process during which developmental symmetry breaking transitions give rise to complex multicellular organisms. Recent advances in high-resolution live-cell microscopy provide unprecedented insights into the…

Biological Physics · Physics 2023-06-27 Nicolas Romeo , Alasdair Hastewell , Alexander Mietke , Jörn Dunkel

The growth rate of organisms depends both on external conditions and on internal states, such as the expression levels of various genes. We show that to achieve a criterion mean growth rate over an ensemble of conditions, the internal…

Populations and Evolution · Quantitative Biology 2007-12-31 Samuel F. Taylor , Naftali Tishby , William Bialek

During tissue development, patterns of gene expression determine the spatial arrangement of cell types. In many cases, gradients of secreted signaling molecules - morphogens - guide this process. The continuous positional information…

Molecular Networks · Quantitative Biology 2017-02-08 Ruben Perez-Carrasco , Pilar Guerrero , James Briscoe , Karen Page

Organismal phenotypes emerge from a complex set of genotypic interactions. While technological advances in sequencing provide a quantitative description of an organism's genotype, characterization of an organism's physical phenotype lags…

Biological Physics · Physics 2020-10-15 Vasyl Alba , James E. Carthew , Richard W. Carthew , Madhav Mani

Forecasting is usually framed as a problem of model choice. This paper starts earlier, asking how much predictive information is available at each horizon. Under logarithmic loss, the answer is exact: the mutual information between the…

Applications · Statistics 2026-03-31 Peter Maurice Catt

Many cellular processes involve information processing and decision making. We can probe these processes at increasing molecular detail. The analysis of heterogeneous data remains a challenge that requires new ways of thinking about cells…

Cell Behavior · Quantitative Biology 2024-12-03 Lucy Ham , Taylor E. Woodford , Megan A. Coomer , Michael P. H. Stumpf

Definition bias is a negative phenomenon that can mislead models. Definition bias in information extraction appears not only across datasets from different domains but also within datasets sharing the same domain. We identify two types of…

Computation and Language · Computer Science 2024-03-26 Wenhao Huang , Qianyu He , Zhixu Li , Jiaqing Liang , Yanghua Xiao

Most clinical prediction studies are developed from retrospective cohorts and reported as if all patient information were observed at once. In practice, clinicians face a more consequential question: \emph{when is there already enough…

Methodology · Statistics 2026-04-27 Hui-Mean Foo , Yuan-chin Ivan Chang

Safely deploying machine learning models to the real world is often a challenging process. Models trained with data obtained from a specific geographic location tend to fail when queried with data obtained elsewhere, agents trained in a…

Machine Learning · Computer Science 2021-11-02 Marco Federici , Ryota Tomioka , Patrick Forré