34 citations · 85 across the 6 of their papers we have counts for
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nlin.CD2019★ 12 cited
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…
nlin.PS2019★ 25 cited
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…