Daniele Avitabile

Publication Activity (10 Years)

Years Active: 2008-2024
Publications (10 Years): 13

Top Topics

Cognitive Tasks

Spiking Neurons

Mechanisms Underlying

Top Venues

PLoS Comput. Biol.

SIAM J. Appl. Dyn. Syst.

SIAM J. Appl. Math.

Publications

Daniele Avitabile, Nikolai V. Chemetov, P. M. Lima
Well-Posedness and Regularity of Solutions to Neural Field Problems with Dendritic Processing. J. Nonlinear Sci. 34 (4) (2024)
Daniele Avitabile, Joshua L. Davis, Kyle Wedgwood
Bump Attractors and Waves in Networks of Leaky Integrate-and-Fire Neurons. SIAM Rev. 65 (1) (2023)
Simon Bellows, George Janes, Daniele Avitabile, John R. King, Anthony Bishopp, Etienne Farcot
Fluctuations in auxin levels depend upon synchronicity of cell divisions in a one-dimensional model of auxin transport. PLoS Comput. Biol. 19 (11) (2023)
Daniele Avitabile
Projection Methods for Neural Field Equations. SIAM J. Numer. Anal. 61 (2) (2023)
Daniele Avitabile, Mathieu Desroches, G. Bard Ermentrout
Cross-scale excitability in networks of quadratic integrate-and-fire neurons. PLoS Comput. Biol. 18 (10) (2022)
Rachel Nicks, Abigail Cocks, Daniele Avitabile, Alan Johnston, Stephen Coombes
Understanding Sensory Induced Hallucinations: From Neural Fields to Amplitude Equations. SIAM J. Appl. Dyn. Syst. 20 (4) (2021)
Weronika Wojtak, Stephen Coombes, Daniele Avitabile, Estela Bicho, Wolfram Erlhagen
A dynamic neural field model of continuous input integration. Biol. Cybern. 115 (5) (2021)
Daniele Avitabile
Projection methods for Neural Field equations. CoRR (2021)
Daniele Avitabile, Mathieu Desroches, Romain Veltz, Martin Wechselberger
Local Theory for Spatio-Temporal Canards and Delayed Bifurcations. SIAM J. Math. Anal. 52 (6) (2020)
Harun Baldemir, Daniele Avitabile, Krasimira Tsaneva-Atanasova
Pseudo-plateau bursting and mixed-mode oscillations in a model of developing inner hair cells. Commun. Nonlinear Sci. Numer. Simul. 80 (2020)
Helmut Schmidt, Daniele Avitabile, Ernest Montbrió, Alex Roxin
Network mechanisms underlying the role of oscillations in cognitive tasks. PLoS Comput. Biol. 14 (9) (2018)
Daniele Avitabile, Victor F. Brena-Medina, Michael Jeffrey Ward
Spot Dynamics in a Reaction-Diffusion Model of Plant Root Hair Initiation. SIAM J. Appl. Math. 78 (1) (2018)
Daniele Avitabile, Piotr Slowinski, Benoît G. Bardy, Krasimira Tsaneva-Atanasova
Beyond in-phase and anti-phase coordination in a model of joint action. Biol. Cybern. 110 (2-3) (2016)
Victor F. Brena-Medina, Daniele Avitabile, Alan R. Champneys, Michael Jeffrey Ward
Stripe to Spot Transition in a Plant Root Hair Initiation Model. SIAM J. Appl. Math. 75 (3) (2015)
James Rankin, Daniele Avitabile, Javier Baladron, Grégory Faye, David J. B. Lloyd
Continuation of Localized Coherent Structures in Nonlocal Neural Field Equations. SIAM J. Sci. Comput. 36 (1) (2014)
Daniele Avitabile, Rebecca B. Hoyle, Giovanni Samaey
Noise Reduction in Coarse Bifurcation Analysis of Stochastic Agent-Based Models: An Example of Consumer Lock-In. SIAM J. Appl. Dyn. Syst. 13 (4) (2014)
Rebecca B. Hoyle, Daniele Avitabile, Andrzej M. Kierzek
Equation-Free Analysis of Two-Component System Signalling Model Reveals the Emergence of Co-Existing Phenotypes in the Absence of Multistationarity. PLoS Comput. Biol. 8 (6) (2012)
Nico Schlömer, Daniele Avitabile, Wim Vanroose
Numerical Bifurcation Study of Superconducting Patterns on a Square. SIAM J. Appl. Dyn. Syst. 11 (1) (2012)
Daniele Avitabile, Mathieu Desroches, Serafim Rodrigues
On the numerical Continuation of Isolas of Equilibria. Int. J. Bifurc. Chaos 22 (11) (2012)
Daniele Avitabile, David J. B. Lloyd, John Burke, Edgar Knobloch, Björn Sandstede
To Snake or Not to Snake in the Planar Swift-Hohenberg Equation. SIAM J. Appl. Dyn. Syst. 9 (3) (2010)
David J. B. Lloyd, Björn Sandstede, Daniele Avitabile, Alan R. Champneys
Localized Hexagon Patterns of the Planar Swift-Hohenberg Equation. SIAM J. Appl. Dyn. Syst. 7 (3) (2008)