Sparse identification of contrast gain control in the fruit fly photoreceptor and amacrine cell layer

JOURNAL ARTICLE published December 2020 in The Journal of Mathematical Neuroscience

Research funded by AFOSR (FA9550-16-1-0410)

Authors: Aurel A. Lazar | Nikul H. Ukani | Yiyin Zhou

Responses of Leaky Integrate-and-Fire Neurons to a Plurality of Stimuli in Their Receptive Fields

JOURNAL ARTICLE published December 2016 in The Journal of Mathematical Neuroscience

Authors: Kang Li | Claus Bundesen | Susanne Ditlevsen

Editorial for Special Issue on Neurodynamics

JOURNAL ARTICLE published 2013 in The Journal of Mathematical Neuroscience

Authors: Stephen Coombes | Yulia Timofeeva

Changes in the criticality of Hopf bifurcations due to certain model reduction techniques in systems with multiple timescales

JOURNAL ARTICLE published 2011 in The Journal of Mathematical Neuroscience

Authors: Wenjun Zhang | Vivien Kirk | James Sneyd | Martin Wechselberger

An Analysis of Waves Underlying Grid Cell Firing in the Medial Enthorinal Cortex

JOURNAL ARTICLE published December 2017 in The Journal of Mathematical Neuroscience

Research funded by Seventh Framework Programme (289146) | Wellcome Trust (WT105618MA)

Authors: Mayte Bonilla-Quintana | Kyle C. A. Wedgwood | Reuben D. O’Dea | Stephen Coombes

Saddle Slow Manifolds and Canard Orbits in R 4 $mathbb{R}^{4}$ and Application to the Full Hodgkin–Huxley Model

JOURNAL ARTICLE published December 2018 in The Journal of Mathematical Neuroscience

Research funded by Marsden Fund (16-UOA-286)

Authors: Cris R. Hasan | Bernd Krauskopf | Hinke M. Osinga

Emergent Dynamical Properties of the BCM Learning Rule

JOURNAL ARTICLE published December 2017 in The Journal of Mathematical Neuroscience

Research funded by National Science Foundation (DMS1219753,SBE 0542013)

Authors: Lawrence C. Udeigwe | Paul W. Munro | G. Bard Ermentrout

Computational Convergence of the Path Integral for Real Dendritic Morphologies

JOURNAL ARTICLE published 2012 in The Journal of Mathematical Neuroscience

Authors: Quentin Caudron | Simon R Donnelly | Samuel PC Brand | Yulia Timofeeva

Fokker–Planck and Fortet Equation-Based Parameter Estimation for a Leaky Integrate-and-Fire Model with Sinusoidal and Stochastic Forcing

JOURNAL ARTICLE published 2014 in The Journal of Mathematical Neuroscience

Authors: Alexandre Iolov | Susanne Ditlevsen | André Longtin

Analysis of an Attractor Neural Network’s Response to Conflicting External Inputs

JOURNAL ARTICLE published December 2018 in The Journal of Mathematical Neuroscience

Research funded by Air Force Office of Scientific Research (FA9550-12-1-0018) | National Institute of Mental Health (R01MH079511)

Authors: Kathryn Hedrick | Kechen Zhang

Identification of Criticality in Neuronal Avalanches: I. A Theoretical Investigation of the Non-driven Case

JOURNAL ARTICLE published December 2013 in The Journal of Mathematical Neuroscience

Authors: Timothy J Taylor | Caroline Hartley | Péter L Simon | Istvan Z Kiss | Luc Berthouze

Investigating the Correlation–Firing Rate Relationship in Heterogeneous Recurrent Networks

JOURNAL ARTICLE published December 2018 in The Journal of Mathematical Neuroscience

Authors: Andrea K. Barreiro | Cheng Ly

Path-Integral Methods for Analyzing the Effects of Fluctuations in Stochastic Hybrid Neural Networks

JOURNAL ARTICLE published December 2015 in The Journal of Mathematical Neuroscience

Authors: Paul C. Bressloff

From invasion to extinction in heterogeneous neural fields

JOURNAL ARTICLE published 2012 in The Journal of Mathematical Neuroscience

Authors: Paul C Bressloff

Geometry of color perception. Part 1: structures and metrics of a homogeneous color space

JOURNAL ARTICLE published December 2020 in The Journal of Mathematical Neuroscience

Research funded by CNRS (80 primes)

Authors: Edoardo Provenzi

Signal processing in the cochlea: The structure equations

JOURNAL ARTICLE published 2011 in The Journal of Mathematical Neuroscience

Authors: Hans Reimann

M-Current Expands the Range of Gamma Frequency Inputs to Which a Neuronal Target Entrains

JOURNAL ARTICLE published December 2018 in The Journal of Mathematical Neuroscience

Research funded by National Science Foundation (DMS-1225647,DMS-DMS-1514796)

Authors: Yujia Zhou | Theodore Vo | Horacio G. Rotstein | Michelle M. McCarthy | Nancy Kopell

Phase-dependence of response curves to deep brain stimulation and their relationship: from essential tremor patient data to a Wilson–Cowan model

JOURNAL ARTICLE published December 2020 in The Journal of Mathematical Neuroscience

Research funded by Medical Research Council (MC_UU_12024/5)

Authors: Benoit Duchet | Gihan Weerasinghe | Hayriye Cagnan | Peter Brown | Christian Bick | Rafal Bogacz

Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review

JOURNAL ARTICLE published December 2020 in The Journal of Mathematical Neuroscience

Research funded by Engineering and Physical Sciences Research Council (EP/P021417/1,EP/N014391/1) | Wellcome Trust (WT105618MA)

Authors: Christian Bick | Marc Goodfellow | Carlo R. Laing | Erik A. Martens

A phenomenological model of seizure initiation suggests network structure may explain seizure frequency in idiopathic generalised epilepsy

JOURNAL ARTICLE published December 2012 in The Journal of Mathematical Neuroscience

Authors: Oscar Benjamin | Thomas HB Fitzgerald | Peter Ashwin | Krasimira Tsaneva-Atanasova | Fahmida Chowdhury | Mark P Richardson | John R Terry