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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

In wet-lab experiments, the slime mold Physarum polycephalum has demonstrated its ability to solve shortest path problems and to design efficient networks. For the shortest path problem, a mathematical model for the evolution of the slime…

Post-translational modification (PTM) of proteins plays a key role in signal transduction, and hence significant effort has gone toward understanding how PTM networks process information. This involves, on the theory side, analyzing the…

Molecular Networks · Quantitative Biology 2018-04-04 Carsten Conradi , Anne Shiu

We develop a general method to explore how the function performed by a biological network can constrain both its structural and dynamical network properties. This approach is orthogonal to prior studies which examine the functional…

Molecular Networks · Quantitative Biology 2009-11-13 Kai-Yeung Lau , Surya Ganguli , Chao Tang

We investigate the evolution of populations of random Boolean networks under selection for robustness of the dynamics with respect to the perturbation of the state of a node. The fitness landscape contains a huge plateau of maximum fitness…

Populations and Evolution · Quantitative Biology 2009-11-13 Tamara Mihaljev , Barbara Drossel

The recently measured yeast transcriptional network is analyzed in terms of simplified Boolean network models, with the aim of determining feasible rule structures, given the requirement of stable solutions of the generated Boolean…

Molecular Networks · Quantitative Biology 2009-11-10 Stuart Kauffman , Carsten Peterson , Björn Samuelsson , Carl Troein

Evolving biomolecular networks have to combine the stability against perturbations with flexibility allowing their constituents to assume new roles in the cell. Gene duplication followed by functional divergence of associated proteins is a…

Molecular Networks · Quantitative Biology 2007-05-23 Sergei Maslov , Kim Sneppen , Kasper Astrup Eriksen

The precise layout of gene expression patterns is a crucial step in development. Formation of a sharp boundary between high and low expression domains requires a genetic mechanism which is both sensitive and robust to fluctuations, a demand…

Molecular Networks · Quantitative Biology 2015-06-26 Erel Levine , Peter McHale , Herbert Levine

We study genetic networks that produce many species of non-coding RNA molecules that are present at a moderate density, as typically exists in the cell. The associations of the many species of these RNA are modeled physically, taking into…

Genomics · Quantitative Biology 2014-09-08 J. M. Deutsch

Due to the dynamic nature of biological systems, biological networks underlying temporal process such as the development of {\it Drosophila melanogaster} can exhibit significant topological changes to facilitate dynamic regulatory…

Molecular Networks · Quantitative Biology 2009-01-07 Amr Ahmed , Le Song , Eric P. Xing

Modeling gene regulatory networks (GRNs) is an important topic in systems biology. Although there has been much work focusing on various specific systems, the generic behavior of GRNs with continuous variables is still elusive. In…

Molecular Networks · Quantitative Biology 2014-04-23 Zhiyuan Li , Simone Bianco , Zhaoyang Zhang , Chao Tang

Oscillations lie at the core of many biological processes, from the cell cycle, to circadian oscillations and developmental processes. Time-keeping mechanisms are essential to enable organisms to adapt to varying conditions in environmental…

Machine Learning · Statistics 2015-04-27 D Trejo , AJ Millar , G Sanguinetti

The DNA molecule, apart from carrying the genetic information, plays a crucial role in a variety of biological processes and find applications in drug design, nanotechnology and nanoelectronics. The molecule undergoes significant structural…

The functioning of a living cell is largely determined by the structure of its regulatory network, comprising non-linear interactions between regulatory genes. An important factor for the stability and evolvability of such regulatory…

Molecular Networks · Quantitative Biology 2015-05-13 Gunnar Boldhaus , Konstantin Klemm

Physarum polycephalum is an acellular slime mould that grows as a highly adaptive network of veins filled with protoplasm. As it forages, Physarum dynamically rearranges its network structure as a response to local stimuli information,…

Fluid Dynamics · Physics 2023-05-23 Rodrigo Almeida , Rui Dilão

We study the internal resonance, energy transfer, activation mechanism, and control of a model of DNA division via parametric resonance. While the system is robust to noise, this study shows that it is sensitive to specific fine scale modes…

Dynamical Systems · Mathematics 2012-11-20 Wang Sang Koon , Houman Owhadi , Molei Tao , Tomohiro Yanao

True slime mould Physarum polycephalum approximates a range of complex computations via growth and adaptation of its proto- plasmic transport network, stimulating a large body of recent research into how such a simple organism can perform…

Emerging Technologies · Computer Science 2015-03-12 Jeff Jones , Andrew Adamatzky

The slime mould Physarum polycephalum has been used in developing unconventional computing devices for in which the slime mould played a role of a sensing, actuating, and computing device. These devices treated the slime mould rather as an…

RNA velocity is an important model that combines cellular spliced and unspliced RNA counts to infer dynamical properties of various regulatory functions. Despite its wide applicability and many variants used in practice, the model has not…

Dynamical Systems · Mathematics 2026-01-06 Boya Hou , Maxim Raginsky , Abhishek Pandey , Olgica Milenkovic

The interaction of distinct units in physical, social, biological and technological systems naturally gives rise to complex network structures. Networks have constantly been in the focus of research for the last decade, with considerable…

Physics and Society · Physics 2012-08-20 Tamás Nepusz , Tamás Vicsek