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We propose a new scheme to infer the metabolic fluxes of cell cultures in a chemostat. Our approach is based on the Maximum Entropy Principle and exploits the understanding of the chemostat dynamics and its connection with the actual…

Statistical Mechanics · Physics 2021-09-28 Jose A. Pereiro-Morejón , Jorge Fernández-de-Cossio-Díaz , R. Mulet

In the study of biological networks, one of the major challenges is to understand the relationships between network structure and dynamics. In this paper, we model in vitro cortical neuronal cultures as stochastic dynamical systems and…

Neurons and Cognition · Quantitative Biology 2022-05-04 Chumin Sun , K. C. Lin , C. Y. Yeung , Emily S. C. Ching , Yu-Ting Huang , Pik-Yin Lai , C. K. Chan

Directional chemosensing is ubiquitous in cell biology, but some cells such as mating yeast paradoxically degrade the signal they aim to detect. While the data processing inequality suggests that such signal modification cannot increase the…

Biological Physics · Physics 2023-10-04 Ryan LeFebre , Joseph A. Landsittel , David E. Stone , Andrew Mugler

We consider the problem of estimating the dynamic latent states of an intracellular multiscale stochastic reaction network from time-course measurements of fluorescent reporters. We first prove that accurate solutions to the filtering…

Methodology · Statistics 2020-09-09 Zhou Fang , Ankit Gupta , Mustafa Khammash

We study chemical reaction networks with discrete state spaces, such as the standard continuous time Markov chain model, and present sufficient conditions on the structure of the network that guarantee the system exhibits an extinction…

Dynamical Systems · Mathematics 2017-01-11 Matthew D. Johnston , David F. Anderson , Gheorghe Craciun , Robert Brijder

The heterogeneity of reaction fluxes present in a metabolic network within a single flux state can be exploited to construct the so-called backbone as a reduced version of metabolism. The backbone maintains all significant fluxes producing…

Molecular Networks · Quantitative Biology 2016-02-23 Oriol Güell , Francesc Sagués , M. Ángeles Serrano

Using stochastic gradient search and the optimal filter derivative, it is possible to perform recursive (i.e., online) maximum likelihood estimation in a non-linear state-space model. As the optimal filter and its derivative are…

Statistics Theory · Mathematics 2021-01-05 Vladislav Z. B. Tadic , Arnaud Doucet

Cell migration in vivo is often guided by chemical signals. Such chemotaxis, such as performed by immune cells migrating to a wound site, is complicated by the complex geometry inside living tissues. In this study, we extend our theoretical…

A sufficiently large information flux in recurrent neural networks, quantified by the mutual information between successive network states, is considered a prerequisite for rich information processing capabilities. This raises the question…

Neurons and Cognition · Quantitative Biology 2026-05-15 Claus Metzner , Ali Ghebleh , Karin Prebeck , Achim Schilling , Andreas Maier , Thomas Kinfe , Patrick Krauss

The network inference problem arises in biological research when one needs to quantitatively choose the best protein-interaction model for explaining a phenotype. The diverse nature of the data and nonlinear dynamics pose significant…

Molecular Networks · Quantitative Biology 2025-12-22 Guy Karlebach

Dynamical properties of the transcriptional regulatory network of {\it Escherichia coli} and {\it Saccharomyces cerevisiae} are studied within the framework of random Boolean functions. The dynamical response of these networks to a single…

Molecular Networks · Quantitative Biology 2007-05-23 Deok-Sun Lee , Heiko Rieger

Many phenomena in biology involve both reactions and chemotaxis. These processes can clearly influence each other, and chemotaxis can play an important role in sustaining and speeding up the reaction. In continuation of our earlier work, we…

Analysis of PDEs · Mathematics 2015-06-04 Alexander Kiselev , Lenya Ryzhik

One of simplest examples of navigation found in nature is run-and-tumble chemotaxis. Tumbles reorient cells randomly, and cells can drift toward attractants or away from repellents by biasing the frequency of these events. The post-tumble…

Soft Condensed Matter · Physics 2017-09-14 Julius B. Kirkegaard , Raymond E. Goldstein

This note works out an advection-diffusion approximation to the density of a population of E. coli bacteria undergoing chemotaxis in a one-dimensional space. Simulations show the high quality of predictions under a shallow-gradient regime.

Quantitative Methods · Quantitative Biology 2013-02-12 Zahra Aminzare , Eduardo D. Sontag

Bacterial processes ranging from gene expression to motility and biofilm formation are constantly challenged by internal and external noise. While the importance of stochastic fluctuations has been appreciated for chemotaxis, it is…

Biological Physics · Physics 2011-07-13 Knut Drescher , Jörn Dunkel , Luis H. Cisneros , Sujoy Ganguly , Raymond E. Goldstein

We use moving light patterns to control the motion of {\it Escherichia coli} bacteria whose motility is photo-activated. Varying the pattern speed controls the magnitude and direction of the bacterial flux, and therefore the accumulation of…

Recent genomic analyses on the cellular metabolic network show that reaction flux across enzymes are diverse and exhibit power-law behavior in its distribution. While one may guess that the reactions with larger fluxes are more likely to be…

Molecular Networks · Quantitative Biology 2007-05-23 C. -M. Ghim , K. -I. Goh , B. Kahng

In recent years it is increasingly being recognized that biochemical signals are not necessarily constant in time and that the temporal dynamics of a signal can be the information carrier. Moreover, it is now well established that…

Molecular Networks · Quantitative Biology 2015-06-17 Wiet de Ronde , Pieter Rein ten Wolde

In systems biology new ways are required to analyze the large amount of existing data on regulation of cellular processes. Recent work can be roughly classified into either dynamical models of well-described subsystems, or coarse-grained…

Molecular Networks · Quantitative Biology 2008-02-01 Jacob Bock Axelsen , Sandeep Krishna , Kim Sneppen

Communication and coordination play a major role in the ability of bacterial cells to adapt to ever changing environments and conditions. Recent work has shown that such coordination underlies several aspects of bacterial responses…

Quantitative Methods · Quantitative Biology 2016-04-12 Shashank Singh , Sabrina Rashid , Zhicheng Long , Saket Navlakha , Hanna Salman , Zoltan N. Oltvai , Ziv Bar-Joseph