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One of the main properties of biological systems is modularity, which manifests itself at all levels of their organization, starting with the level of molecular genetics, ending with the level of whole organisms and their communities. In a…

Neural and Evolutionary Computing · Computer Science 2018-11-20 Anton Eremeev , Alexander Spirov

Networks describing the interaction of the elements that constitute a complex system grow and develop via a number of different mechanisms, such as the addition and deletion of nodes, the addition and deletion of edges, as well as the…

Molecular Networks · Quantitative Biology 2010-06-09 Arend Hintze , Christoph Adami

We study analytically and numerically a model metabolic cycle composed of an arbitrary number of species of catalytically active particles. Each species converts a substrate into a product, the latter being used as the substrate by the next…

Soft Condensed Matter · Physics 2023-09-29 Vincent Ouazan-Reboul , Jaime Agudo-Canalejo , Ramin Golestanian

Complex networks have been shown to be robust against random structural perturbations, but vulnerable against targeted attacks. Robustness analysis usually simulates the removal of individual or sets of nodes, followed by the assessment of…

Molecular Networks · Quantitative Biology 2012-11-13 Oriol Güell , Francesc Sagués , Georg Basler , Zoran Nikoloski , M. Ángeles Serrano

A plethora of computational models have been developed in recent decades to account for the morphogenesis of complex biological fluid networks, such as capillary beds. Contemporary adaptation models are based on optimization schemes where…

Tissues and Organs · Quantitative Biology 2021-11-16 Felix Kramer , Carl D. Modes

Can we objectively distinguish chemical systems that are able to process meaningful information from those that are not suitable for information processing? Here, we present a formal method to assess the semantic capacity of a chemical…

Molecular Networks · Quantitative Biology 2011-05-26 Dennis Görlich , Peter Dittrich

Chemical reaction networks in living cells maintain precise control over thousands of metabolites despite operating far from equilibrium under constant perturbations. While mass action kinetics accurately describe the underlying dynamics,…

Optimization and Control · Mathematics 2025-08-27 Steven Diamond

A cell's behavior is a consequence of the complex interactions between its numerous constituents, such as DNA, RNA, proteins and small molecules. Cells use signaling pathways and regulatory mechanisms to coordinate multiple processes,…

Molecular Networks · Quantitative Biology 2007-09-12 Reka Albert

Recent advances in human mobility research have revealed consistent pairwise characteristics in movement behavior, yet existing mobility models often overlook the spatial and topological structure of mobility networks. By analyzing millions…

Physics and Society · Physics 2025-05-22 Lu Zhong , Lei Dong , Qi Wang , Chaoming Song , Jianxi Gao

We propose to model the dynamics of metabolic networks from a systems biology point of view by four dynamical structure elements: potential function, transverse matrix, degradation matrix, and stochastic force. These four elements are…

Molecular Networks · Quantitative Biology 2007-05-23 P. Ao

A large variety of real systems are composed by entities in relationships which can be represented by networks. In many of these systems, elements are embedded in the space and location information impacts properties and evolution. Local…

Physics and Society · Physics 2021-11-09 Michele Tirico , Stefan Balev , Antoine Dutot , Damien Olivier

Biochemical networks are used in computational biology, to model the static and dynamical details of systems involved in cell signaling, metabolism, and regulation of gene expression. Parametric and structural uncertainty, as well as…

Molecular Networks · Quantitative Biology 2014-10-15 Ovidiu Radulescu , Alexander N. Gorban , Andrei Zinovyev , Vincent Noel

Although it is unambiguously agreed that structure plays a fundamental role in shaping the dynamics of complex systems, this intricate relationship still remains unclear. We investigate a general computational transformation by which we can…

Disordered Systems and Neural Networks · Physics 2015-05-13 Jie Zhang , Changsong Zhou , Xiaoke Xu , Michael Small

Complex chemical reaction networks, which underlie many industrial and biological processes, often exhibit non-monotonic changes in chemical species concentrations, typically described using nonlinear models. Such non-monotonic dynamics are…

Adaptation and Self-Organizing Systems · Physics 2020-10-21 Zachary G. Nicolaou , Takashi Nishikawa , Schuyler B. Nicholson , Jason R. Green , Adilson E. Motter

Aspects of cell metabolism are modeled by ordinary differential equations describing the change of intracellular chemical concentrations. There is a correspondence between this dynamical system and a complex network. As in the classic…

The formation of aerosol particles in the atmosphere impacts air quality and climate change, but many of the organic molecules involved remain unknown. Machine learning could aid in identifying these compounds through accelerated analysis…

Atmospheric and Oceanic Physics · Physics 2024-06-27 Hilda Sandström , Patrick Rinke

The recent discovery of universal principles underlying many complex networks occurring across a wide range of length scales in the biological world has spurred physicists in trying to understand such features using techniques from…

Biological Physics · Physics 2015-05-13 Sitabhra Sinha

Phenotypic variation is a hallmark of cellular physiology. Metabolic heterogeneity, in particular, underpins single-cell phenomena such as microbial drug tolerance and growth variability. Much research has focussed on transcriptomic and…

Molecular Networks · Quantitative Biology 2019-01-31 Mona K. Tonn , Philipp Thomas , Mauricio Barahona , Diego A Oyarzún

Biological phenomena differ significantly from physical phenomena. At the heart of this distinction is the fact that biological entities have computational abilities and thus they are inherently difficult to predict. This is the reason why…

Molecular Networks · Quantitative Biology 2009-09-29 Pau Fernandez , Ricard V. Sole

To understand the system-wide organization of metabolism, different lines of study have devised different categorizations of metabolites. The relationship and difference between categories can provide new insights for a more detailed…

Molecular Networks · Quantitative Biology 2009-07-24 Jing Zhao , Petter Holme