Bursting in a next generation neural mass model with synaptic dynamics: a slow–fast approach
نویسندگان
چکیده
Abstract We report a detailed analysis on the emergence of bursting in recently developed neural mass model that includes short-term synaptic plasticity. Neural models can mimic collective dynamics large-scale neuronal populations terms few macroscopic variables like mean membrane potential and firing rate. The present one is particularly important, as it represents an exact meanfield limit synaptically coupled quadratic integrate fire (QIF) neurons. Without dynamics, periodic external current with slow frequency $$\varepsilon $$ ? lead to burst-like dynamics. patterns be understood using singular perturbation theory, specifically slow–fast dissection. With timescale separation leads variety phenomena their role for becomes inordinately more intricate. Canards are crucial understand route bursting. They describe trajectories evolving nearby repelling locally invariant sets system exist at transition between subthreshold Near = 0$$ xmlns:mml="http://www.w3.org/1998/Math/MathML">?=0 , we peculiar jump-on canards which block continuous In biologically plausible -regime, this bursts emerge via consecutive spike-adding transitions. onset complex involves mixed-type-like torus form very first spikes burst follow fast-subsystem cycles. numerically evidence same mechanisms responsible QIF network plastic synapses. main conclusions apply network, owing exactness limit.
منابع مشابه
Next generation neural mass models
Neural mass models have been actively used since the 1970s to model the coarse grained activity of large populations of neurons and synapses. They have proven especially useful in understanding brain rhythms. However, although motivated by neurobiological considerations they are phenomenological in nature, and cannot hope to recreate some of the rich repertoire of responses seen in real neurona...
متن کاملA system Dynamics Approach to Designing a Crowdfunding Model in Technological Entrepreneurship Ecosystem with a Focus on Technology Incubator Centers
Crowdfunding, a new financing method for funding ideas or ventures through a large number of relatively small contributions from many individuals has witnessed the phenomenal development over the past decade. It involves bypassing traditional financial intermediaries and using online web-based platforms to connect users of funds with retail funders. This research first explores in greater detai...
متن کاملDesigning a Third Generation University Model with a Combined Approach in Islamic Azad Universities of Medical Sciences
Introduction: Universities have undergone various stages in their evolutionary development. At the heart of these developments is the debate on academic entrepreneurship under the auspices of a third generation university. The theoretical and practical importance of the subject on the one hand and the lack of infrastructure studies in third generation universities in the country have led to a...
متن کاملA neural mass model of CA1-CA3 neural network and studying sharp wave ripples
We spend one third of our life in sleep. The interesting point about the sleep is that the neurons are not quiescent during sleeping and they show synchronous oscillations at different regions. Especially sharp wave ripples are observed in the hippocampus. Here, we propose a simple phenomenological neural mass model for the CA1-CA3 network of the hippocampus considering the spike frequency adap...
متن کاملA MODEL FOR EVOLUTIONARY DYNAMICS OF WORDS IN A LANGUAGE
Human language, over its evolutionary history, has emerged as one of the fundamental defining characteristic of the modern man. However, this milestone evolutionary process through natural selection has not left any ’linguistic fossils’ that may enable us to trace back the actual course of development of language and its establishment in human societies. Lacking analytical tools to fathom the cr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nonlinear Dynamics
سال: 2022
ISSN: ['1573-269X', '0924-090X']
DOI: https://doi.org/10.1007/s11071-022-07406-6