Background Mathematical modeling of biological regulatory networks provides valuable insights into the structural and dynamical properties of the underlying systems. While …
JC Rozum, R Albert - PLoS computational biology, 2018 - journals.plos.org
We present a technique applicable in any dynamical framework to identify control-robust subsets of an interacting system. These robust subsystems, which we call stable modules …
Logical models are well-suited to capture salient dynamical properties of regulatory networks. For networks controlling cell fate decisions, cell fates are associated with model …
In this paper, we propose a generalization for fuzzy graphs in order to model reactive systems with fuzziness. As we will show, the resulting fuzzy structure, called fuzzy reactive …
All cells of living organisms contain similar genetic instructions encoded in the organism's DNA. In any particular cell, the control of the expression of each different gene is regulated …
J Fox, B Cummins, RC Moseley, M Gameiro… - Mathematical …, 2024 - Elsevier
Modeling biological systems holds great promise for speeding up the rate of discovery in systems biology by predicting experimental outcomes and suggesting targeted …
H Sun, M Folschette, M Magnin - International Conference on …, 2022 - Springer
Many gene regulatory networks have periodic behavior, for instance the cell cycle or the circadian clock. Therefore, the study of formal methods to analyze limit cycles in …
Background Switch-like and oscillatory dynamical systems are widely observed in biology. We investigate the simplest biological switch that is composed of a single molecule that can …
A Wurm, H Sun - arXiv preprint arXiv:2404.16197, 2024 - arxiv.org
In this work, we study a class of hybrid dynamical systems called hybrid gene regulatory networks (HGRNs) which was proposed to model gene regulatory networks. In HGRNs …