34 citations · 85 across the 6 of their papers we have counts for
7 papers
From Distribution of Extremes With Degradation to the Stress Redundancy Principle
Frédéric Paquin-Lefebvre, Élisa Delbreil, David Holcman
How a degradation source affects the statistics of the first among many identical independent stochastic particles to successfully reach a narrow target remains unclear. Here, we i…
Voltage mapping in subcellular nanodomains using electro-diffusion modeling
Frédéric Paquin-Lefebvre, David Holcman
Voltage distribution in sub-cellular micro-domains such as neuronal synapses, small protrusions or dendritic spines regulates the opening and closing of ionic channels, energy prod…
Modeling ionic flow between small targets: insights from diffusion and electro-diffusion theory
Frédéric Paquin-Lefebvre, David Holcman
The flow of ions through permeable channels causes voltage drop in physiological nanodomains such as synapses, dendrites and dendritic spines, and other protrusions. How the voltag…
Stable Asymmetric Spike Equilibria for the Gierer-Meinhardt Model with a Precursor Field
Theodore Kolokolnikov, Frédéric Paquin-Lefebvre, Michael J. Ward
Precursor gradients in a reaction-diffusion system are spatially varying coefficients in the reaction-kinetics. Such gradients have been used in various applications, such as the h…
Weakly Nonlinear Theory for Oscillatory Dynamics in a One-Dimensional PDE-ODE Model of Membrane Dynamics Coupled by a Bulk Diffusion Field
Frédéric Paquin-Lefebvre, Wayne Nagata, Michael J. Ward
We study the dynamics of systems consisting of two spatially segregated ODE compartments coupled through a one-dimensional bulk diffusion field. For this coupled PDE-ODE system, we…
Pattern Formation in a Coupled Membrane-Bulk Reaction-Diffusion Model for Intracellular Polarization and Oscillations
Frédéric Paquin-Lefebvre, Bin Xu, Kelsey L. DiPietro +2
Reaction-diffusion systems have been widely used to study spatio-temporal phenomena in cell biology, such as cell polarization. Coupled bulk-surface models naturally include compar…
Pattern Formation and Oscillatory Dynamics in a Two-Dimensional Coupled Bulk-Surface Reaction-Diffusion System
Frédéric Paquin-Lefebvre, Wayne Nagata, Michael J. Ward
On a two-dimensional circular domain, we analyze the formation of spatio-temporal patterns for a class of coupled bulk-surface reaction-diffusion models for which a passive diffusi…