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This paper presents an overview of some techniques and concepts coming from dynamical system theory and used for the analysis of dynamical neural networks models. In a first section, we describe the dynamics of the neuron, starting from the…

适应与自组织系统 · 物理学 2011-11-09 B. Cessac , M. Samuelides

This survey provides a comprehensive overview of the emerging field of world models grounded in the foundation of acoustic physical information. It examines the theoretical underpinnings, essential methodological frameworks, and recent…

声音 · 计算机科学 2025-06-18 Xiaoliang Chen , Le Chang , Xin Yu , Yunhe Huang , Xianling Tu

Biological signaling is imagined as a combination of activation and transport. The former is triggered by local molecular interactions and the latter is the result of molecular diffusion. However, other fundamental physical principles of…

生物物理 · 物理学 2016-12-07 Bernhard Fichtl , Matthias F. Schneider

A unified model of molecular and atomistic spin dynamics is presented enabling simulations both in microcanonical and canonical ensembles without the necessity of additional phenomenological spin damping. Transfer of energy and angular…

Modeling the behavior of coupled networks is challenging due to their intricate dynamics. For example in neuroscience, it is of critical importance to understand the relationship between the functional neural processes and anatomical…

机器学习 · 计算机科学 2021-04-20 Hongyuan You , Sikun Lin , Ambuj K. Singh

Action, cognition, emotion and perception can be mapped in the brain by using set of techniques. Translating unimodal concepts from one modality to another is an important step towards understanding the neural mechanisms. This paper…

其他计算机科学 · 计算机科学 2012-12-18 Revati Shriram , Dr. M. Sundhararajan , Nivedita Daimiwal

Effective connectivity analysis provides an understanding of the functional organization of the brain by studying how activated regions influence one other. We propose a nonparametric Bayesian approach to model effective connectivity…

应用统计 · 统计学 2011-07-22 Sourabh Bhattacharya , Ranjan Maitra

The physical mechanism on meridians (acupuncture lines) is studied and a theoretical model is proposed. The meridians are explained as an alternating system responsible for the integration and the regulation of life in addition to the…

医学物理 · 物理学 2021-06-09 Liaofu Luo , Fengqi Bao

The spread of viruses in biological networks, computer networks, and human contact networks can have devastating effects; developing and analyzing mathematical models of these systems can be insightful and lead to societal benefits. Prior…

最优化与控制 · 数学 2016-09-19 Philip E. Paré , Angelia Nedić , Carolyn L. Beck

The Hodgkin-Huxley (HH) model is the currently accepted formalism of neuronal excitability. However, the HH model does not capture a number of biophysical behaviors associated with action potentials or propagating nerve impulses. Physical…

神经元与认知 · 定量生物学 2015-06-17 Jerel Mueller , William J. Tyler

Complex networks are frequently employed to model physical or virtual complex systems. When certain entities exist across multiple systems simultaneously, unveiling their corresponding relationships across the networks becomes crucial. This…

物理与社会 · 物理学 2025-04-16 Rui Tang , Ziyun Yong , Shuyu Jiang , Xingshu Chen , Yaofang Liu , Yi-Cheng Zhang , Gui-Quan Sun , Wei Wang

The brain is a complex organ characterized by heterogeneous patterns of structural connections supporting unparalleled feats of cognition and a wide range of behaviors. New noninvasive imaging techniques now allow these patterns to be…

神经元与认知 · 定量生物学 2020-04-03 Christopher W. Lynn , Danielle S. Bassett

Over the last two decades, network science has greatly advanced our understanding of how the collective behaviors of a complex system emerge from the interactions among its basic units. Multiplex networks, i.e. networks with many layers,…

The dynamical systems found in Nature are rarely isolated. Instead they interact and influence each other. The coupling functions that connect them contain detailed information about the functional mechanisms underlying the interactions and…

适应与自组织系统 · 物理学 2017-11-15 Tomislav Stankovski , Tiago Pereira , Peter V. E. McClintock , Aneta Stefanovska

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…

The manner in which signals propagate through dense granular systems in both space and time is not well understood. In order to learn more about this process, we carry out discrete element simulations of the system response to excitations…

软凝聚态物质 · 物理学 2008-05-15 L. Kondic , O. M. Dybenko , R. P. Behringer

We derive a mathematical model for the motion of several insulating rigid bodies through an electrically conducting fluid. Starting from a universal model describing this phenomenon in generality, we elaborate (simplifying) physical…

数学物理 · 物理学 2024-02-13 Jan Scherz , Anja Schlömerkemper

Complex systems are characterized by multiple spatial and temporal scales. A natural framework to capture their multiscale nature is that of multilayer networks, where different layers represent distinct physical processes that often…

统计力学 · 物理学 2024-04-29 Giorgio Nicoletti , Daniel Maria Busiello

Networks - collections of interacting elements or nodes - abound in the natural and manmade worlds. For many networks, complex spatiotemporal dynamics stem from patterns of physical interactions unknown to us. To infer these interactions,…

定量方法 · 定量生物学 2015-05-13 Mark A. Kramer , Uri T. Eden , Sydney S. Cash , Eric D. Kolaczyk

In physics we often use very simple models to describe systems with many degrees of freedom, but it is not clear why or how this success can be transferred to the more complex biological context. We consider models for the joint…

神经元与认知 · 定量生物学 2024-12-06 Luisa Ramirez , William Bialek , Stephanie E. Palmer , David J. Schwab