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This chapter revisits the concept of excitability, a basic system property of neurons. The focus is on excitable systems regarded as behaviors rather than dynamical systems. By this we mean open systems modulated by specific interconnection…

神经元与认知 · 定量生物学 2017-04-18 Rodolphe Sepulchre , Guillaume Drion , Alessio Franci

Timed transition systems are behavioural models that include an explicit treatment of time flow and are used to formalise the semantics of several foundational process calculi and automata. Despite their relevance, a general mathematical…

计算机科学中的逻辑 · 计算机科学 2023-06-22 Tomasz Brengos , Marco Peressotti

The concept of structured occurrence nets is an extension of that of occurrence nets which are directed acyclic graphs that represent causality and concurrency information concerning a single execution of a distributed system. The formalism…

分布式、并行与集群计算 · 计算机科学 2024-01-17 Mohammed Alahmadi , Salma Alharbi , Talal Alharbi , Nadiyah Almutairi , Tuwailaa Alshammari , Anirban Bhattacharyya , Maciej Koutny , Bowen Li , Brian Randell

These lecture notes concern the basics of the theory of process behaviour. First the concept of a (labelled) transition system receives ample treatment and then the following issues concerning process behaviour are elaborated in the setting…

计算机科学中的逻辑 · 计算机科学 2016-10-06 C. A. Middelburg

Abrupt transitions in ecosystems can be interconnected, raising challenges for science and management in identifying sufficient interventions to prevent them or recover from undesirable shifts. Here we use principles of network…

适应与自组织系统 · 物理学 2025-01-03 Juan Carlos Rocha , Anne-Sophie Crépin

Understanding a complex system entails capturing the non-trivial collective phenomena that arise from interactions between its different parts. Information theory is a flexible and robust framework to study such behaviours, with several…

Bacteria possess diverse mechanisms to regulate their motility in response to environmental and physiological signals, enabling them to navigate complex habitats and adapt their behavior. Among these mechanisms, interspecies recognition…

种群与进化 · 定量生物学 2025-12-01 Mattia Mattei , David Soriano Paños , Mahantesh Halappanavar , Alex Arenas

Many extended chemical and biological systems self-organise into complex patterns that drive the medium behaviour in a non-linear fashion. An important class of such systems are excitable media, including neural and cardiac tissues. In…

其他定量生物学 · 定量生物学 2024-09-09 Louise Arno , Desmond Kabus , Hans Dierckx

Excitable media are a generic class of models used to simulate a wide variety of natural systems including cardiac tissue. Propagation of excitation waves in this medium results in the formation of characteristic patterns such as rotating…

混沌动力学 · 物理学 2011-11-10 Sitabhra Sinha , S. Sridhar

Living systems, from single cells to higher vertebrates, receive a continuous stream of non-stationary inputs that they sense, e.g., via cell surface receptors or sensory organs. Integrating these time-varying, multi-sensory, and often…

其他定量生物学 · 定量生物学 2024-04-17 Daniel Koch , Akhilesh Nandan , Gayathri Ramesan , Aneta Koseska

This paper is a preliminary work to address the problem of dynamical systems with parameters varying in time. An idea to predict their behaviour is proposed. These systems are called \emph{transient systems}, and are distinguished from…

动力系统 · 数学 2014-11-04 Ugo Galvanetto , Luca Magri

This paper presents a new approach to distributed controller design that exploits a partial-structure representation of linear time invariant systems to characterize the structure of a system. This partial-structure representation, called…

最优化与控制 · 数学 2012-09-18 Anurag Rai , Sean Warnick

Reaction systems are discrete dynamical systems inspired by bio-chemical processes, whose dynamical behaviour is expressed by set-theoretic operations on finite sets. Reaction systems thus provide a description of bio-chemical phenomena…

形式语言与自动机理论 · 计算机科学 2020-08-05 Alberto Dennunzio , Enrico Formenti , Luca Manzoni , Antonio E. Porreca

Excitable media are systems which are at rest in the absence of external input but which respond to a sufficiently strong stimulus by sending a wave of "excitation" across the medium. Examples include cardiac and cortical tissue, and in…

定量方法 · 定量生物学 2021-01-01 S. P. Hastings , M. M Sussman

The focus of this paper is on the co-design of control and communication protocol for the control of multiple applications with unknown parameters using a distributed embedded system. The co-design consists of an adaptive switching…

最优化与控制 · 数学 2012-08-22 Harald Voit , Anuradha Annaswamy

We analyst in detail a new approach to the monitoring and forecasting of the onset of transitions in high dimensional complex systems (see Phys. Rev. Lett . vol. 113, 264102 (2014)) by application to the Tangled Nature Model of evolutionary…

适应与自组织系统 · 物理学 2015-08-03 Duccio Piovani , Jelena Grujic , Henrik Jeldtoft Jensen

Patterns in reaction-diffusion systems near primary bifurcations can be studied locally and classified by means of amplitude equations. This is not possible for excitable reaction-diffusion systems. In this Letter we propose a global…

patt-sol · 物理学 2007-05-23 Silvina Ponce Dawson , Maria Veronica D'Angelo , John E. Pearson

A new type of noised-induced phase transitions that should occur in systems of elements with motivated behavior is considered. By way of an example, a simple oscillatory system {x,v} with additive white noise is analyzed numerically. A…

软凝聚态物质 · 物理学 2007-05-23 Ihor Lubashevsky , Morteza Hajimahmoodzadeh , Albert Katsnelson , Peter Wagner

Classical approaches like process algebras or labelled transition systems deal with static composition to model non-trivial concurrent or distributed systems; this is not sufficient for systems with dynamic architecture and with variable…

软件工程 · 计算机科学 2011-12-30 Christian Attiogbé

We introduce a simple open-ended model that describes the emergence of a shared vocabulary. The ordering transition toward consensus is generated only by an agreement mechanism. This interaction defines a finite and small number of states,…

物理与社会 · 物理学 2009-02-13 E. Brigatti , I. Roditi
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