329 citations · 493 across the 15 of their papers we have counts for
7 papers · 1 filter
A parsimonious model of blood glucose homeostasis
Eric Ng, Jaycee Morgan Kaufman, Lennaert van Veen +1
The mathematical modelling of biological systems has historically followed one of two approaches: comprehensive and minimal. In comprehensive models, the involved biological pathwa…
Hidden symmetry in a Kuramoto-Sivashinsky initial-boundary value problem
Pietro-Luciano Buono, Lennaert van Veen, Eryn Frawley
We investigate the bifurcation structure of the Kuramoto-Sivashinsky equation with homogeneous Dirichlet boundary conditions. Using hidden symmetry principles, based on an extended…
Open-source tools for dynamical analysis of Liley's mean-field cortex model
Kevin R. Green, Lennaert van Veen
Mean-field models of the mammalian cortex treat this part of the brain as a two-dimensional excitable medium. The electrical potentials, generated by the excitatory and inhibitory…
Metabifurcation analysis of a mean field model of the cortex
Federico Frascoli, Lennaert van Veen, Ingo Bojak +1
Mean field models (MFMs) of cortical tissue incorporate salient features of neural masses to model activity at the population level. One of the common aspects of MFM descriptions i…
On matrix-free computation of 2D unstable manifolds
Lennaert van Veen, Genta Kawahara, Matsumura Atsushi
Recently, a flexible and stable algorithm was introduced for the computation of 2D unstable manifolds of periodic solutions to systems of ordinary differential equations. The main…
An integrating factor matrix method to find first integrals
K. V. I. Saputra, G. R. W. Quispel, L. van Veen
In this paper we developed an integrating factor matrix method to derive conditions for the existence of first integrals. We use this novel method to obtain first integrals, along…
The saddle-node-transcritical bifurcation in a population model with constant rate harvesting
K. V. I. Saputra, L. van Veen, G. R. W. Quispel
We study the interaction of saddle-node and transcritical bifurcations in a Lotka-Volterra model with a constant term representing harvesting or migration. Because some of the equi…