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Recently much attention has been paid to the study of the robustness of interdependent and multiplex networks and, in particular, networks of networks. The robustness of interdependent networks can be evaluated by the size of a mutually…

Statistical Mechanics · Physics 2015-06-18 Ginestra Bianconi , Sergey N. Dorogovtsev

Interconnected ensembles of biological entities are perhaps some of the most complex systems that modern science has encountered so far. In particular, scientists have concentrated on understanding how the complexity of the interacting…

Pattern Formation and Solitons · Physics 2020-11-18 Bram A. Siebert , Cameron L. Hall , James P. Gleeson , Malbor Asllani

Despite their topological complexity almost all functional properties of metabolic networks can be derived from steady-state dynamics. Indeed, many theoretical investigations (like flux-balance analysis) rely on extracting function from…

Molecular Networks · Quantitative Biology 2009-11-13 Carsten Marr , Mark Mueller-Linow , Marc-Thorsten Huett

A ubiquitous way that cells share information is by exchanging molecules. Yet, the fundamental ways that this information exchange is influenced by intracellular dynamics remain unclear. Here we use information theory to investigate a…

Biological Physics · Physics 2020-07-23 Amir Erez , Tommy A. Byrd , Michael Vennettilli , Andrew Mugler

Metabolic pathways are fundamental maps in biochemistry that detail how molecules are transformed through various reactions. The complexity of metabolic network, where a single compound can play a part in multiple pathways, poses a…

Quantitative Methods · Quantitative Biology 2024-09-18 Li Tuobang

This paper presents a real-time simulation involving ''protozoan-like'' cells that evolve by natural selection in a physical 2D ecosystem. Selection pressure is exerted via the requirements to collect mass and energy from the surroundings…

Neural and Evolutionary Computing · Computer Science 2023-05-23 Dylan Cope

The location and nature of the percolation transition in random networks is a subject of intense interest. Recently, a series of graph evolution processes have been introduced that lead to discontinuous percolation transitions where the…

Statistical Mechanics · Physics 2015-06-17 Wei Chen , Xueqi Cheng , Zhiming Zheng , Ning Ning Chung , Raissa M. D'Souza , Jan Nagler

We consider a class of random, weighted networks, obtained through a redefinition of patterns in an Hopfield-like model and, by performing percolation processes, we get information about topology and resilience properties of the networks…

Statistical Mechanics · Physics 2015-05-30 Elena Agliari , Claudia Cioli , Enore Guadagnini

Cell migration is a fundamental process underlying the survival and function of both unicellular and multicellular organisms. Crawling motility in eukaryotic cells arises from cyclic protrusion and retraction driven by the cytoskeleton,…

Biological Physics · Physics 2025-11-04 Blaž Ivšić , Igor Weber , Piotr Nowakowski , Ana-Sunčana Smith

Oscillatory dynamics are ubiquitous in biological networks. Possible sources of oscillations are well understood in low-dimensional systems, but have not been fully explored in high-dimensional networks. Here we study large networks…

Disordered Systems and Neural Networks · Physics 2016-12-21 Célian Bimbard , Erwan Ledoux , Srdjan Ostojic

Using the classical tools of nonlinear dynamics, we study the process of self-organization and the appearance of the chaos in the metabolic process in a cell with the help of a mathematical model of the transformation of steroids by a cell…

Other Quantitative Biology · Quantitative Biology 2018-03-15 V. I. Grytsay , I. V. Musatenko

The rise of multicellularity in the early evolution of life represents a major challenge for evolutionary biology. Guidance for finding answers has emerged from disparate fields, from phylogenetics to modelling and synthetic biology, but…

Populations and Evolution · Quantitative Biology 2015-11-09 Salva Duran-Nebreda , Adriano Bonforti , Raul Montañez , Sergi Valverde , Ricard Solé

Dynamics maintaining diversity of cell types in a multi-cellular system are studied in relationship with the plasticity of cellular states. By adopting a simple theoretical framework for intra-cellular chemical reaction dynamics with…

Cell Behavior · Quantitative Biology 2007-05-23 Hiroaki Takagi , Kunihiko Kaneko

[Background] Several studies have mentioned network modularity -- that a network can easily be decomposed into subgraphs that are densely connected within and weakly connected between each other -- as a factor affecting metabolic…

Molecular Networks · Quantitative Biology 2012-10-10 Petter Holme

The molecular network in an organism consists of transcription/translation regulation, protein-protein interactions/modifications and a metabolic network, together forming a system that allows the cell to respond sensibly to the multiple…

Molecular Networks · Quantitative Biology 2007-05-23 Sandeep Krishna , Anna M. C. Andersson , Szabolcs Semsey , Kim Sneppen

Despite major environmental and genetic differences, microbial metabolic networks are known to generate consistent physiological outcomes across vastly different organisms. This remarkable robustness suggests that, at least in bacteria,…

Molecular Networks · Quantitative Biology 2022-05-24 Anna Paola Muntoni , Alfredo Braunstein , Andrea Pagnani , Daniele De Martino , Andrea De Martino

We prove that steady state bifurcations in finite-dimensional dynamical systems that are symmetric with respect to a monoid representation generically occur along an absolutely indecomposable subrepresentation. This is stated as a…

Dynamical Systems · Mathematics 2018-10-10 Sören Schwenker

Metabolic scaling is one of the most important patterns in biology. Theory explaining the 3/4-power size-scaling of biological metabolic rate does not predict the non-linear scaling observed for smaller life forms. Here we present a new…

Biological Physics · Physics 2024-03-04 Mark E. Ritchie , Christopher P. Kempes

Morphological trends in growing colonies of living cells are at the core of physiological and evolutionary processes. Using active gel equations, which include cell division, we show that shape changes during the growth can be regulated by…

Soft Condensed Matter · Physics 2016-07-27 Amin Doostmohammadi , Sumesh P. Thampi , Julia M. Yeomans

Bootstrap percolation is a prominent framework for studying the spreading of activity on a graph. We begin with an initial set of active vertices. The process then proceeds in rounds, and further vertices become active as soon as they have…

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