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Complex networks: Structure and dynamics

by S. Boccaletti , V. Latora , Y. Moreno , M. Chavez , D.-U. Hwang , 2006
"... Coupled biological and chemical systems, neural networks, social interacting species, the Internet and the World Wide Web, are only a few examples of systems composed by a large number of highly interconnected dynamical units. The first approach to capture the global properties of such systems is t ..."
Abstract - Cited by 435 (12 self) - Add to MetaCart
Coupled biological and chemical systems, neural networks, social interacting species, the Internet and the World Wide Web, are only a few examples of systems composed by a large number of highly interconnected dynamical units. The first approach to capture the global properties of such systems

Efficient exact stochastic simulation of chemical systems with many species and many channels

by Michael A. Gibson, Jehoshua Bruck - J. Phys. Chem. A , 2000
"... There are two fundamental ways to view coupled systems of chemical equations: as continuous, represented by differential equations whose variables are concentrations, or as discrete, represented by stochastic processes whose variables are numbers of molecules. Although the former is by far more comm ..."
Abstract - Cited by 427 (5 self) - Add to MetaCart
There are two fundamental ways to view coupled systems of chemical equations: as continuous, represented by differential equations whose variables are concentrations, or as discrete, represented by stochastic processes whose variables are numbers of molecules. Although the former is by far more

Synchronization of pulse-coupled biological oscillators

by Renato E. Mirollo, Steven H. Strogatz - SIAM J. APPL. MATH , 1990
"... A simple model for synchronous firing of biological oscillators based on Peskin’s model of the cardiac pacemaker [Mathematical aspects of heart physiology, Courant Institute of Mathematical Sciences, ..."
Abstract - Cited by 340 (1 self) - Add to MetaCart
A simple model for synchronous firing of biological oscillators based on Peskin’s model of the cardiac pacemaker [Mathematical aspects of heart physiology, Courant Institute of Mathematical Sciences,

Detecting protein function and protein-protein interactions from genome sequences. Science 285:751–753

by Edward M. Marcotte, Matteo Pellegrini, Ho-leung Ng, Danny W. Rice, Todd O. Yeates, David Eisenberg , 1999
"... A computational method is proposed for inferring protein interactions from genome sequences on the basis of the observation that some pairs of interacting proteins have homologs in another organism fused into a single protein chain. Searching sequences from many genomes revealed 6809 such putative p ..."
Abstract - Cited by 359 (13 self) - Add to MetaCart
proteinprotein interactions in Escherichia coli and 45,502 in yeast. Many members of these pairs were confirmed as functionally related; computational filtering further enriches for interactions. Some proteins have links to several other proteins; these coupled links appear to represent functional interactions

From kuramoto to crawford: exploring the onset of synchronization in populations of coupled oscillators

by Steven H. Strogatz - Phys. D , 2000
"... The Kuramoto model describes a large population of coupled limit-cycle oscillators whose natural frequencies are drawn from some prescribed distribution. If the coupling strength exceeds a certain threshold, the system exhibits a phase transition: some of the oscillators spontaneously synchronize, w ..."
Abstract - Cited by 302 (4 self) - Add to MetaCart
The Kuramoto model describes a large population of coupled limit-cycle oscillators whose natural frequencies are drawn from some prescribed distribution. If the coupling strength exceeds a certain threshold, the system exhibits a phase transition: some of the oscillators spontaneously synchronize

Discovering Statistically Significant Biclusters in Gene Expression Data

by Amos Tanay, Roded Sharan, Ron Shamir - In Proceedings of ISMB 2002 , 2002
"... In gene expression data, a bicluster is a subset of the genes exhibiting consistent patterns over a subset of the conditions. We propose a new method to detect significant biclusters in large expression datasets. Our approach is graph theoretic coupled with statistical modelling of the data. Under p ..."
Abstract - Cited by 302 (4 self) - Add to MetaCart
In gene expression data, a bicluster is a subset of the genes exhibiting consistent patterns over a subset of the conditions. We propose a new method to detect significant biclusters in large expression datasets. Our approach is graph theoretic coupled with statistical modelling of the data. Under

Coupled two-way clustering analysis of gene microarray data

by G. Getz, E. Levine, E. Domany - Cell Biology , 2000
"... We present a novel coupled two-way clustering approach to gene microarray data analysis. The main idea is to identify subsets of the genes and samples, such that when one of these is used to cluster the other, stable and significant partitions emerge. The search for such subsets is a computationally ..."
Abstract - Cited by 251 (12 self) - Add to MetaCart
We present a novel coupled two-way clustering approach to gene microarray data analysis. The main idea is to identify subsets of the genes and samples, such that when one of these is used to cluster the other, stable and significant partitions emerge. The search for such subsets is a

Linear Modeling Of mRNA Expression Levels During CNS Development And Injury

by Patrik D'Haeseleer, Xiling Wen, Stefanie Fuhrman, X. Wen, S. Fuhrman, Roland Somogyi , 1999
"... this paper, we will leave out the inputs to these genes. Since the least squares solution essentially solves a linear regression for each gene independently, failure to achieve a biologically plausible model for some of the genes does not imply that the rest of the model is unreliable. The sum of in ..."
Abstract - Cited by 239 (3 self) - Add to MetaCart
this paper, we will leave out the inputs to these genes. Since the least squares solution essentially solves a linear regression for each gene independently, failure to achieve a biologically plausible model for some of the genes does not imply that the rest of the model is unreliable. The sum

Central pattern generators for locomotion control in animals and robots: a review

by Auke Jan Ijspeert - NEURAL NETWORKS , 2008
"... The problem of controlling locomotion is an area in which neuroscience and robotics can fruitfully interact. In this article, I will review research carried out on locomotor central pattern generators (CPGs), i.e. neural circuits capable of producing coordinated patterns of high-dimensional rhythmic ..."
Abstract - Cited by 151 (20 self) - Add to MetaCart
or systems of coupled oscillators can be used in robotics for controlling the locomotion of articulated robots. The review also presents how robots can be used as scientific tools to obtain a better understanding of the functioning of biological CPGs. Finally, various methods for designing CPGs to control

Brane Calculi. Interactions of Biological Membranes

by Luca Cardelli , 2004
"... We introduce a family of process calculi with dynamic nested membranes. In contrast to related calculi, including some developed for biological applications, active entities here are tightly coupled to membranes, and can perform interactions on both sides of a membrane. That is, computation happen ..."
Abstract - Cited by 110 (4 self) - Add to MetaCart
We introduce a family of process calculi with dynamic nested membranes. In contrast to related calculi, including some developed for biological applications, active entities here are tightly coupled to membranes, and can perform interactions on both sides of a membrane. That is, computation
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