AEON: attractor bifurcation analysis of parametrised Boolean networks

N Beneš, L Brim, J Kadlecaj, S Pastva… - … Aided Verification: 32nd …, 2020 - Springer
Boolean networks (BNs) provide an effective modelling tool for various phenomena from
science and engineering. Any long-term behaviour of a BN eventually converges to a so …

Formal analysis of qualitative long-term behaviour in parametrised boolean networks

N Beneš, L Brim, S Pastva, J Poláček… - Formal Methods and …, 2019 - Springer
Boolean networks offer an elegant way to model the behaviour of complex systems with
positive and negative feedback. The long-term behaviour of a Boolean network is …

Approximate Constrained Lumping of Polynomial Differential Equations

A Leguizamon-Robayo, A Jiménez-Pastor… - … Methods in Systems …, 2023 - Springer
In life sciences, deriving insights from dynamic models can be challenging due to the large
number of state variables involved. To address this, model reduction techniques can be …

Computational Modelling of Metabolic Burden and Substrate Toxicity in Escherichia coli Carrying a Synthetic Metabolic Pathway

M Demko, L Chrást, P Dvořák, J Damborský… - Microorganisms, 2019 - mdpi.com
In our previous work, we designed and implemented a synthetic metabolic pathway for 1, 2,
3-trichloropropane (TCP) biodegradation in Escherichia coli. Significant effects of metabolic …

BDD-based algorithm for SCC decomposition of edge-coloured graphs

N Beneš, L Brim, S Pastva… - Logical Methods in …, 2022 - lmcs.episciences.org
Edge-coloured directed graphs provide an essential structure for modelling and analysis of
complex systems arising in many scientific disciplines (eg feature-oriented systems, gene …

Symbolic coloured SCC decomposition

N Beneš, L Brim, S Pastva, D Šafránek - … , TACAS 2021, Held as Part of the …, 2021 - Springer
Problems arising in many scientific disciplines are often modelled using edge-coloured
directed graphs. These can be enormous in the number of both vertices and colours. Given …

Fully automated attractor analysis of cyanobacteria models

N Beneš, L Brim, S Pastva, D Šafránek… - … on System Theory …, 2018 - ieeexplore.ieee.org
Complex dynamics arising in biological systems can be characterised by various kinds of
attractors. To that end, the task of determining attractors becomes important in modern …

Facetal abstraction for non-linear dynamical systems based on δ-decidable SMT

N Beneš, L Brim, J Dražanová, S Pastva… - Proceedings of the 22nd …, 2019 - dl.acm.org
Formal analysis of non-linear continuous and hybrid systems is a hot topic. A common
approach builds on computing a suitable finite discrete abstraction of the continuous system …

Digital Bifurcation Analysis of Internet Congestion Control Protocols

N Beneš, L Brim, S Pastva… - International Journal of …, 2020 - World Scientific
Digital bifurcation analysis is a new algorithmic method for exploring how the behavior of a
parameter-dependent discrete system varies with a change in its parameters and, in …

Digital bifurcation analysis of TCP dynamics

N Beneš, L Brim, S Pastva, D Šafránek - … , TACAS 2019, Held as Part of the …, 2019 - Springer
Digital bifurcation analysis is a new algorithmic method for exploring how the behaviour of a
parameter-dependent computer system varies with a change in its parameters and, in …