3 papers
q-bio.MN2025
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems
Matthew D. Johnston, Florin Avram
We introduce the boundary reproduction number, adapted from the next generation matrix method, to assess whether an infusion of species will persist or become exhausted in a chemic…
q-bio.MN2025
Stability in Reaction Network Models via an Extension of the Next Generation Matrix Method
Florin Avram, Rim Adenane, Andrei D. Halanay +1
In this essay, we investigate some relations between Chemical Reaction Networks (CRN) and Mathematical Epidemiology (ME) and report on several pleasant surprises which we had simpl…
math.AG2024
Absolute concentration robustness: Algebra and geometry
Luis David GarcÃa Puente, Elizabeth Gross, Heather A Harrington +4
Motivated by the question of how biological systems maintain homeostasis in changing environments, Shinar and Feinberg introduced in 2010 the concept of absolute concentration robu…