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Six decades of the FitzHugh–Nagumo model: A guide through its spatio-temporal dynamics and influence across disciplines
Abstract The FitzHugh–Nagumo equation, originally conceived in neuroscience during the
1960s, became a key model providing a simplified view of excitable neuron cell behavior. Its …
1960s, became a key model providing a simplified view of excitable neuron cell behavior. Its …
Spatiotemporal dynamics of continuum neural fields
We survey recent analytical approaches to studying the spatiotemporal dynamics of
continuum neural fields. Neural fields model the large-scale dynamics of spatially structured …
continuum neural fields. Neural fields model the large-scale dynamics of spatially structured …
Stochastic Turing patterns in a synthetic bacterial population
The origin of biological morphology and form is one of the deepest problems in science,
underlying our understanding of development and the functioning of living systems. In 1952 …
underlying our understanding of development and the functioning of living systems. In 1952 …
[کتاب][B] Nonlinear physics of ecosystems
E Meron - 2015 - api.taylorfrancis.com
A significant part of this book is based on a graduate course on pattern formation which I
have been teaching during the past two decades in the Physics Department at Ben-Gurion …
have been teaching during the past two decades in the Physics Department at Ben-Gurion …
[کتاب][B] Stochastic processes for physicists: understanding noisy systems
K Jacobs - 2010 - books.google.com
Stochastic processes are an essential part of numerous branches of physics, as well as in
biology, chemistry, and finance. This textbook provides a solid understanding of stochastic …
biology, chemistry, and finance. This textbook provides a solid understanding of stochastic …
Dissipative solitons
The present review summarizes experimental and theoretical work dealing with self-
organized solitary localized structures (LSs) that are observed in spatially extended …
organized solitary localized structures (LSs) that are observed in spatially extended …
Existence of Turing instabilities in a two-species fractional reaction-diffusion system
We introduce a two-species fractional reaction-diffusion system to model activator-inhibitor
dynamics with anomalous diffusion such as occurs in spatially inhomogeneous media …
dynamics with anomalous diffusion such as occurs in spatially inhomogeneous media …
Waves in neural media
This is a book on mathematical neuroscience, in which the unifying theme is wavelike
phenomena at multiple spatial and temporal scales. There are already several excellent …
phenomena at multiple spatial and temporal scales. There are already several excellent …
Spatial trigger waves: positive feedback gets you a long way
Trigger waves are a recurring biological phenomenon involved in transmitting information
quickly and reliably over large distances. Well-characterized examples include action …
quickly and reliably over large distances. Well-characterized examples include action …
Regime shifts in models of dryland vegetation
Drylands are pattern-forming systems showing self-organized vegetation patchiness,
multiplicity of stable states and fronts separating domains of alternative stable states. Pattern …
multiplicity of stable states and fronts separating domains of alternative stable states. Pattern …