Canard solutions in neural mass models: consequences on critical regimes [0.03%]
神经元群模型中的鸭解：对临界状态的影响
Elif Köksal Ersöz,Fabrice Wendling
Elif Köksal Ersöz
Mathematical models at multiple temporal and spatial scales can unveil the fundamental mechanisms of critical transitions in brain activities. Neural mass models (NMMs) consider the average temporal dynamics of interconnected neuronal subpo...
Rendering neuronal state equations compatible with the principle of stationary action [0.03%]
使神经元状态方程与作用原理相容性分析
Erik D Fagerholm,W M C Foulkes,Karl J Friston et al.
Erik D Fagerholm et al.
The principle of stationary action is a cornerstone of modern physics, providing a powerful framework for investigating dynamical systems found in classical mechanics through to quantum field theory. However, computational neuroscience, des...
Karina Kolodina,John Wyller,Anna Oleynik et al.
Karina Kolodina et al.
We study pattern formation in a 2-population homogenized neural field model of the Hopfield type in one spatial dimension with periodic microstructure. The connectivity functions are periodically modulated in both the synaptic footprint and...
Auditory streaming emerges from fast excitation and slow delayed inhibition [0.03%]
快速兴奋和缓慢的延迟抑制产生听觉流离效应
Andrea Ferrario,James Rankin
Andrea Ferrario
In the auditory streaming paradigm, alternating sequences of pure tones can be perceived as a single galloping rhythm (integration) or as two sequences with separated low and high tones (segregation). Although studied for decades, the neura...
A model of on/off transitions in neurons of the deep cerebellar nuclei: deciphering the underlying ionic mechanisms [0.03%]
深小脑核神经元的开/关转换模型：解析其潜在的离子机制
Hugues Berry,Stéphane Genet
Hugues Berry
The neurons of the deep cerebellar nuclei (DCNn) represent the main functional link between the cerebellar cortex and the rest of the central nervous system. Therefore, understanding the electrophysiological properties of DCNn is of fundame...
Estimating Fisher discriminant error in a linear integrator model of neural population activity [0.03%]
利用神经元群体活动的线性积分模型估计费舍尔判别误差
Matias Calderini,Jean-Philippe Thivierge
Matias Calderini
Decoding approaches provide a useful means of estimating the information contained in neuronal circuits. In this work, we analyze the expected classification error of a decoder based on Fisher linear discriminant analysis. We provide expres...
M-current induced Bogdanov-Takens bifurcation and switching of neuron excitability class [0.03%]
由M电流引起的Bogdanov-Takens分岔及神经元兴奋性类别的转换
Isam Al-Darabsah,Sue Ann Campbell
Isam Al-Darabsah
In this work, we consider a general conductance-based neuron model with the inclusion of the acetycholine sensitive, M-current. We study bifurcations in the parameter space consisting of the applied current [Formula: see text], the maximal ...
Antonios Georgiou,Mikhail Katkov,Misha Tsodyks
Antonios Georgiou
Memory and forgetting constitute two sides of the same coin, and although the first has been extensively investigated, the latter is often overlooked. A possible approach to better understand forgetting is to develop phenomenological models...
On the potential role of lateral connectivity in retinal anticipation [0.03%]
侧向连接在视网膜预测编码中潜在作用的理论研究
Selma Souihel,Bruno Cessac
Selma Souihel
We analyse the potential effects of lateral connectivity (amacrine cells and gap junctions) on motion anticipation in the retina. Our main result is that lateral connectivity can-under conditions analysed in the paper-trigger a wave of acti...
Ugo Boscain,Dario Prandi,Ludovic Sacchelli et al.
Ugo Boscain et al.
The reconstruction mechanisms built by the human auditory system during sound reconstruction are still a matter of debate. The purpose of this study is to propose a mathematical model of sound reconstruction based on the functional architec...