7 citations · 17 across the 6 of their papers we have counts for
6 papers
Generalised Gillespie Algorithms for Simulations in a Rule-Based Epidemiological Model Framework
David Alonso, Steffen Bauer, Markus Kirkilionis +2
Rule-based models have been successfully used to represent different aspects of the COVID-19 pandemic, including age, testing, hospitalisation, lockdowns, immunity, infectivity, be…
A Rule-Based Epidemiological Modelling Framework
David Alonso, Steffen Bauer, Markus Kirkilionis +2
Motivated by chemical reaction rules, we introduce a rule-based epidemiological framework for the systematic mathematical modelling of future pandemics. Here we stress that we do n…
An Averaging Principle for Combined Interaction Graphs. Part I: Connectivity and Applications to Genetic Switches
Markus Kirkilionis, Luca Sbano
Time-continuous dynamical systems defined on graphs are often used to model complex systems with many interacting components in a non-spatial context. In the reverse sense attachin…
Multiscale Analysis of Reaction Networks
L. Sbano, M. Kirkilionis
In most natural sciences there is currently the insight that it is necessary to bridge gaps between different processes which can be observed on different scales. This is especiall…
Molecular Systems with Infinite and Finite Degrees of Freedom. Part I: Multi-Scale Analysis
L. Sbano, M. Kirkilionis
The paper analyses stochastic systems describing reacting molecular systems with a combination of two types of state spaces, a finite-dimensional, and an infinite dimenional part.…
Molecular Systems with Infinite and Finite Degrees of Freedom. Part II: Deterministic Dynamics and Examples
L. Sbano, M. Kirkilionis
In this paper we consider deterministic limits of molecular stochastic systems with finite and infinite degrees of freedom. The method to obtain the deterministic vector field is b…