3 papers
math.DS2026
Topological-numerical analysis of global dynamics in the discrete-time two-gene Andrecut-Kauffman model
Dorian Falęcki, Mikołaj Rosman, Michał Palczewski +2
We conduct a topological--numerical analysis of global dynamics in a discrete-time two-gene Andrecut--Kauffman model. This model describes gene expression regulation through nonlin…
math.DS2025
Rigorous computation of expansion in one-dimensional dynamics
Paweł Pilarczyk, Michał Palczewski, Stefano Luzzatto
We introduce an effective algorithmic method for the computation of a lower bound for uniform expansion in one-dimensional dynamics. The approach employs interval arithmetic and th…
nlin.CD2024
Bistability and chaos in the discrete two-gene Andrecut-Kauffman model
Mikołaj Rosman, Michał Palczewski, Paweł Pilarczyk +1
We conduct numerical analysis of the 2-dimensional discrete-time gene expression model originally introduced by Andrecut and Kauffman (Phys. Lett. A 367: 281-287, 2007). In contras…