bifurcation analysis 1gene regulatory networks 1geometric blow-up 1piecewise-smooth systems 1singular perturbation 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.DS2026
Different Singular Limits in a Gene Regulatory Network with Multiple Small Parameters
Lukas Baumgartner, Samuel Jelbart
We consider a planar ODE system from an important class of models for gene regulatory dynamics. The system depends singularly on the steepness parameters $0<\varepsilon_1,\varepsil…
math.DS2025
Switching, Multiple Time-Scales and Geometric Blow-Up in a Low-Dimensional Gene Regulatory Network
Samuel Jelbart, Kristian Uldall Kristiansen, Peter Szmolyan
ODE-based models for gene regulatory networks (GRNs) can often be formulated as smooth singular perturbation problems with multiple small parameters, some of which are related to t…