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In the study of biological networks, one of the major challenges is to understand the relationships between network structure and dynamics. In this paper, we model in vitro cortical neuronal cultures as stochastic dynamical systems and…

Neurons and Cognition · Quantitative Biology 2022-05-04 Chumin Sun , K. C. Lin , C. Y. Yeung , Emily S. C. Ching , Yu-Ting Huang , Pik-Yin Lai , C. K. Chan

Complex functional brain networks are large networks of brain regions and functional brain connections. Statistical characterizations of these networks aim to quantify global and local properties of brain activity with a small number of…

Neurons and Cognition · Quantitative Biology 2011-07-19 Mikail Rubinov , Olaf Sporns

In human and animal groups, social interactions often rely on the transmission of information via visual observation of the behavior of others. These visual interactions are governed by the laws of physics and sensory limits. Individuals…

Biological Physics · Physics 2021-06-21 Winnie Poel , Claudia Winklmayr , Pawel Romanczuk

A major goal shared by neuroscience and collective behavior is to understand how dynamic interactions between individual elements give rise to behaviors in populations of neurons and animals, respectively. This goal has recently become…

Quantitative Methods · Quantitative Biology 2021-12-07 Adam Gosztolai , Pavan Ramdya

The field of computational modeling of the brain is advancing so rapidly that now it is possible to model large scale networks representing different brain regions with a high level of biological detail in terms of numbers and synapses. For…

Central Pattern Generators (CPGs) in invertebrates are comprised of networks of neurons in which every neuron has reciprocal connections to other members of the CPG. This is a ``closed'' network topology. An ``open'' topology, where one or…

chao-dyn · Physics 2007-05-23 R. Huerta , P. Varona , M. I. Rabinovich , Henry D. I. Abarbanel

Exploring the structural topology of genome-based large-scale metabolic network is essential for investigating possible relations between structure and functionality. Visualization would be helpful for obtaining immediate information about…

Molecular Networks · Quantitative Biology 2007-09-06 Zhao Jing , Tao Lin , Yu Hong , Luo Jian-Hua , Z. W. Cao , Li Yixue

The complexity of a neuronal cell shape is known to be related to its function. Specifically, among other indicators, a decreased complexity in the dendritic trees of cortical pyramidal neurons has been associated with mental retardation.…

Quantitative Methods · Quantitative Biology 2007-05-23 M. S. Barbosa , L. da F. Costa , E. S. Bernardes , G. Ramakers , J. van Pelt

The uninformative ordering of artificial neurons in Deep Neural Networks complicates visualizing activations in deeper layers. This is one reason why the internal structure of such models is very unintuitive. In neuroscience, activity of…

Audio and Speech Processing · Electrical Eng. & Systems 2019-12-10 Andreas Krug , Sebastian Stober

In this paper, we study instances of complex neural networks, i.e. neural netwo rks with complex topologies. We use Self-Organizing Map neural networks whose n eighbourhood relationships are defined by a complex network, to classify handwr…

Neural and Evolutionary Computing · Computer Science 2007-10-02 Fei Jiang , Hugues Berry , Marc Schoenauer

Complex networks are used to depict topological features of complex systems. The structure of a network characterizes the interactions among elements of the system, and facilitates the study of many dynamical processes taking place on it.…

Physics and Society · Physics 2012-06-22 Yan Zhang , Lin Wang , Yi-Qing Zhang , Xiang Li

Large-scale white matter pathways crisscrossing the cortex create a complex pattern of connectivity that underlies human cognitive function. Generative mechanisms for this architecture have been difficult to identify in part because little…

Neurons and Cognition · Quantitative Biology 2015-06-16 Florian Klimm , Danielle S. Bassett , Jean M. Carlson , Peter J. Mucha

For constructing neuronal network models computational neuroscientists have access to wide-ranging anatomical data that nevertheless tend to cover only a fraction of the parameters to be determined. Finding and interpreting the most…

The human body is a complex organism whose gross mechanical properties are enabled by an interconnected musculoskeletal network controlled by the nervous system. The nature of musculoskeletal interconnection facilitates stability, voluntary…

Tissues and Organs · Quantitative Biology 2016-12-20 Andrew C. Murphy , Sarah F. Muldoon , David Baker , Adam Lastowka , Brittany Bennett , Muzhi Yang , Danielle S. Bassett

The promise of discovering a functional blueprint of a cellular system from large-scale and high-throughput sequence and experimental data is predicated on the belief that the same top-down investigative approach that proved successful in…

Molecular Networks · Quantitative Biology 2007-05-23 Riccardo Boscolo , Behnam A. Rezaei , P. Oscar Boykin , Vwani P. Roychowdhury

Bone structure in mammals involves a complex network of channels (Havers and Volkmann channels) required to nourish the bone marrow cells. This work describes how three-dimensional reconstructions of such systems can be obtained and…

Tissues and Organs · Quantitative Biology 2007-09-19 Luciano da Fontoura Costa , Matheus Palhares Viana , Marcelo E. Beletti

Molecular networks guide the biochemistry of a living cell on multiple levels: its metabolic and signalling pathways are shaped by the network of interacting proteins, whose production, in turn, is controlled by the genetic regulatory…

Soft Condensed Matter · Physics 2009-11-07 Sergei Maslov , Kim Sneppen

We introduce and study methods for inferring and learning from correspondences among neurons. The approach enables alignment of data from distinct multiunit studies of nervous systems. We show that the methods for inferring correspondences…

Neurons and Cognition · Quantitative Biology 2015-01-28 Ashish Kapoor , E. Paxon Frady , Stefanie Jegelka , William B. Kristan , Eric Horvitz

This PhD thesis is focused on the central idea that single neurons in the brain should be regarded as temporally precise and highly complex spatio-temporal pattern recognizers. This is opposed to the prevalent view of biological neurons as…

Neurons and Cognition · Quantitative Biology 2023-09-27 David Beniaguev

Functions correspond to one of the key concepts in mathematics and science, allowing the representation and modeling of several types of signals and systems. The present work develops an approach for characterizing the coverage and…

Discrete Mathematics · Computer Science 2021-02-08 Luciano da F. Costa
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