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The dynamics of stochastic reaction networks within cells are inevitably modulated by factors considered extrinsic to the network such as for instance the fluctuations in ribsome copy numbers for a gene regulatory network. While several…

Quantitative Methods · Quantitative Biology 2015-06-19 Christoph Zechner , Heinz Koeppl

Single-cell studies often show significant phenotypic variability due to the stochastic nature of intra-cellular biochemical reactions. When the numbers of molecules, e.g., transcription factors and regulatory enzymes, are in low abundance,…

Quantitative Methods · Quantitative Biology 2015-06-17 Kyung Hyuk Kim , Hong Qian , Herbert M. Sauro

Cells regulate themselves via dizzyingly complex biochemical processes called signaling pathways. These are usually depicted as a network, where nodes represent proteins and edges indicate their influence on each other. In order to…

Molecular Networks · Quantitative Biology 2021-01-13 David Merrell , Anthony Gitter

Gene expression has a stochastic component owing to the single molecule nature of the gene and the small number of copies of individual DNA binding proteins in the cell. We show how the statistics of such systems can be mapped on to quantum…

Disordered Systems and Neural Networks · Physics 2009-11-10 Masaki Sasai , Peter G. Wolynes

The response of complex networks to perturbations is of utmost importance in areas as diverse as ecosystem management, emergency response, and cell reprogramming. A fundamental property of networks is that the perturbation of one node can…

Molecular Networks · Quantitative Biology 2011-05-20 Sean P. Cornelius , William L. Kath , Adilson E. Motter

Many biological systems dynamically rearrange their components through a sequence of configurations in order to perform their functions. Such dynamic processes have been studied using network models that sequentially retrieve a set of…

Statistical Mechanics · Physics 2022-12-01 Lukas Herron , Pablo Sartori , BingKan Xue

We propose a probabilistic framework for developing computational models of biological neural systems. In this framework, physiological recordings are viewed as discrete-time partial observations of an underlying continuous-time stochastic…

Neurons and Cognition · Quantitative Biology 2026-02-10 Ahmed ElGazzar , Marcel van Gerven

Genetic and pharmacological perturbation experiments, such as deleting a gene and monitoring gene expression responses, are powerful tools for studying cellular signal transduction pathways. However, it remains a challenge to automatically…

Molecular Networks · Quantitative Biology 2015-06-15 Songjian Lu , Bo Jin , Ashley Cowart , Xinghua Lu

Adaptation mechanism of cells on the basis of stochastic gene expression and epigenetic modification is proposed. From marginally stable states generated by epigenetic modification, a gene expression pattern that achieves greater cell…

Molecular Networks · Quantitative Biology 2019-01-18 Yusuke Himeoka , Kunihiko Kaneko

A general class of stochastic gene expression models with self regulation is considered. One or more genes randomly switch between regulatory states, each having a different mRNA transcription rate. The gene or genes are self regulating…

Molecular Networks · Quantitative Biology 2014-12-30 Jay Newby

The hematopoietic system has a highly regulated and complex structure in which cells are organized to successfully create and maintain new blood cells. Feedback regulation is crucial to tightly control this system, but the specific…

The proper functioning of multicellular organisms requires the robust establishment of precise proportions between distinct cell-types. This developmental differentiation process typically involves intracellular regulatory and stochastic…

Cell Behavior · Quantitative Biology 2016-06-22 Benjamin Pfeuty , Kunihiko Kaneko

Gene transcription is a highly stochastic and dynamic process. As a result, the mRNA copy number of a given gene is heterogeneous both between cells and across time. We present a framework to model gene transcription in populations of cells…

Quantitative Methods · Quantitative Biology 2017-01-10 Justine Dattani , Mauricio Barahona

Chaos is generic in strongly-coupled recurrent networks of model neurons, and thought to be an easily accessible dynamical regime in the brain. While neural chaos is typically seen as an impediment to robust computation, we show how such…

Neurons and Cognition · Quantitative Biology 2024-09-30 Rishidev Chaudhuri , Vivek Handebagh

Despite the success of language models using neural networks, it remains unclear to what extent neural models have the generalization ability to perform inferences. In this paper, we introduce a method for evaluating whether neural models…

Computation and Language · Computer Science 2020-05-05 Hitomi Yanaka , Koji Mineshima , Daisuke Bekki , Kentaro Inui

The origin of stochastic fluctuations in gene expression has received considerable attention recently. Fluctuations in gene expression are particularly pronounced in cellular systems because of the small copy number of species undergoing…

Subcellular Processes · Quantitative Biology 2009-08-02 P. S. Gutierrez , D. Monteoliva , L. Diambra

The inheritance of characteristics induced by the environment has often been opposed to the theory of evolution by natural selection. Yet, while evolution by natural selection requires new heritable traits to be produced and transmitted, it…

Populations and Evolution · Quantitative Biology 2015-06-18 Olivier Rivoire , Stanislas Leibler

Understanding computational capabilities of simple biological circuits, such as the regulatory circuits of single-cell organisms, remains an active area of research. Recent theoretical work has shown that a simple regulatory architecture…

Biological Physics · Physics 2022-11-24 Fang Yu , Mikhail Tikhonov

Gene regulatory networks, as a powerful abstraction for describing complex biological interactions between genes through their expression products within a cell, are often regarded as virtually deterministic dynamical systems. However, this…

Molecular Networks · Quantitative Biology 2023-09-18 Ulysse Herbach

Heterogeneity in gene expression across isogenic cell populations can give rise to phenotypic diversity, even when cells are in homogenous environments. This diversity arises from the discrete, stochastic nature of biochemical reactions,…

Quantitative Methods · Quantitative Biology 2017-08-31 Zachary Fox , Brian Munsky