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Cellular ingredient concentrations can be stabilized by adjusting generation and consumption rates through multiple pathways. To explore the portion of cellular metabolism equipped with multiple pathways, we categorize individual metabolic…

Molecular Networks · Quantitative Biology 2024-01-08 Mi Jin Lee , Sudo Yi , Deok-Sun Lee

Despite recent molecular technique improvements, biological knowledge remains incomplete. Reasoning on living systems hence implies to integrate heterogeneous and partial informations. Although current investigations successfully focus on…

Quantitative Methods · Quantitative Biology 2009-09-29 Jérémie Bourdon , Damien Eveillard , Samuel Gabillard , Theo Merle

Networks coming from protein-protein interactions, transcriptional regulation, signaling, or metabolism may appear to have "unusual" properties. To quantify this, it is appropriate to randomize the network and test the hypothesis that the…

Molecular Networks · Quantitative Biology 2011-07-18 Areejit Samal , Olivier C. Martin

In this thesis, we have studied the large scale structure and system level dynamics of certain biological networks using tools from graph theory, computational biology and dynamical systems. We study the structure and dynamics of large…

Molecular Networks · Quantitative Biology 2008-12-31 Areejit Samal

In this paper, we propose a new method to identify biochemical reaction networks (i.e. both reactions and kinetic parameters) from heterogeneous datasets. Such datasets can contain (a) data from several replicates of an experiment performed…

Systems and Control · Computer Science 2015-09-21 Wei Pan , Ye Yuan , Lennart Ljung , Jorge Goncalves , Guy-Bart Stan

The integration of various types of genomic data into predictive models of biological networks is one of the main challenges currently faced by computational biology. Constraint-based models in particular play a key role in the attempt to…

Molecular Networks · Quantitative Biology 2012-06-25 Daniele De Martino , Matteo Figliuzzi , Andrea De Martino , Enzo Marinari

In living cells, chemical reactions form a complex network. Complicated dynamics arising from such networks are the origins of biological functions. We propose a novel mathematical method to analyze bifurcation behaviors of a reaction…

Molecular Networks · Quantitative Biology 2018-08-08 Takashi Okada , Je-Chiang Tsai , Atsushi Mochizuki

Key processes in biological and chemical systems are described by networks of chemical reactions. From molecular biology to biotechnology applications, computational models of reaction networks are used extensively to elucidate their…

Quantitative Methods · Quantitative Biology 2019-02-18 Pavel Loskot , Komlan Atitey , Lyudmila Mihaylova

The stoichiometry of metabolic networks usually gives rise to a family of conservation laws for the aggregate concentration of specific pools of metabolites, which not only constrain the dynamics of the network, but also provide key insight…

Molecular Networks · Quantitative Biology 2013-09-11 A. De Martino , D. De Martino , R. Mulet , A. Pagnani

The analysis of biological networks is characterized by the definition of precise linear constraints used to cumulatively reduce the solution space of the computed states of a multi-omic (for instance metabolic, transcriptomic and…

Molecular Networks · Quantitative Biology 2018-10-15 Vandan Parmar , Pietro Lio

We present herein an extension of an algebraic statistical method for inferring biochemical reaction networks from experimental data, proposed recently in [3]. This extension allows us to analyze reaction networks that are not necessarily…

Molecular Networks · Quantitative Biology 2009-02-26 Gheorghe Craciun , Casian Pantea , Grzegorz A. Rempala

Cells adapt their metabolic fluxes in response to changes in the environment. We present a framework for the systematic construction of flux-based graphs derived from organism-wide metabolic networks. Our graphs encode the directionality of…

Molecular Networks · Quantitative Biology 2018-03-29 Mariano Beguerisse-Díaz , Gabriel Bosque , Diego Oyarzún , Jesús Picó , Mauricio Barahona

Chemical reaction networks describe interactions between biochemical species. Once an underlying reaction network is given for a biochemical system, the system dynamics can be modelled with various mathematical frameworks such as continuous…

Probability · Mathematics 2023-06-22 German Enciso , Radek Erban , Jinsu Kim

Cellular metabolism, the integrated interconversion of thousands of metabolic substrates through enzyme-catalyzed biochemical reactions, is the most investigated complex intercellular web of molecular interactions. While the topological…

Molecular Networks · Quantitative Biology 2015-06-26 E. Almaas , B. Kovacs , T. Vicsek , Z. N. Oltvai , A. -L. Barabasi

Many biological networks have been labelled scale-free as their degree distribution can be approximately described by a powerlaw distribution. While the degree distribution does not summarize all aspects of a network it has often been…

Molecular Networks · Quantitative Biology 2007-05-23 M. P. H. Stumpf , P. J. Ingram , I. Nouvel , C. Wiuf

The analysis of complex reaction networks is of great importance in several chemical and biochemical fields (interstellar chemistry, prebiotic chemistry, reaction mechanism, etc). In this article, we propose to simultaneously refine and…

Molecular Networks · Quantitative Biology 2008-03-11 Raphaël Plasson , Hugues Bersini , Axel Brandenburg

Perturbations are ubiquitous in metabolism. A central tool to understand and control their influence on metabolic networks is sensitivity analysis, which investigates how the network responds to external perturbations. We follow here a…

Molecular Networks · Quantitative Biology 2021-11-29 Nicola Vassena

Biological networks provide insight into the complex organization of biological processes in a cell at the system level. They are an effective tool for understanding the comprehensive map of functional interactions, finding the functional…

Molecular Networks · Quantitative Biology 2017-09-14 Somaye Hashemifar

We study the network reconstruction problem for an epidemic reaction-diffusion. These models are an extension of deterministic, compartmental models to a graph setting, where the reactions within the nodes are coupled by a diffusion. We…

Chaotic Dynamics · Physics 2021-09-24 Louis-Brahim Beaufort , Pierre-Yves Massé , Antonin Reboulet , Laurent Oudre

The rapidly developing theory of complex networks indicates that real networks are not random, but have a highly robust large-scale architecture, governed by strict organizational principles. Here, we focus on the properties of biological…

Molecular Networks · Quantitative Biology 2007-05-23 E. Almaas , A. -L. Barabasi