3 papers
nlin.PS2024
Synchronized Memory-Dependent Intracellular Oscillations for a Cell-Bulk ODE-PDE Model in
Merlin Pelz, Michael J. Ward
For a cell-bulk ODE-PDE model in , a hybrid asymptotic-numerical theory is developed to provide a new theoretical and computationally efficient approach for studying…
nlin.PS2023
Symmetry-Breaking Bifurcations for Compartmental Reaction Kinetics Coupled by Two Bulk Diffusing Species with Comparable Diffusivities in 2-D
Merlin Pelz, Michael J. Ward
For a 2-D coupled PDE-ODE bulk-cell model, we investigate symmetry-breaking bifurcations that can emerge when two bulk diffusing species are coupled to two-component nonlinear intr…
nlin.PS2023
The Emergence of Spatial Patterns for Compartmental Reaction Kinetics Coupled by Two Bulk Diffusing Species with Comparable Diffusivities
Merlin Pelz, Michael J. Ward
Originating from the pioneering study of Alan Turing, the bifurcation analysis predicting spatial pattern formation from a spatially uniform state for diffusing morphogens or chemi…