Quantitative and logic modelling of molecular and gene networks

N Le Novere - Nature Reviews Genetics, 2015 - nature.com
Behaviours of complex biomolecular systems are often irreducible to the elementary
properties of their individual components. Explanatory and predictive mathematical models …

A practical guide to mechanistic systems modeling in biology using a logic-based approach

A Niarakis, T Helikar - Briefings in bioinformatics, 2021 - academic.oup.com
Mechanistic computational models enable the study of regulatory mechanisms implicated in
various biological processes. These models provide a means to analyze the dynamics of the …

Minimum-time control of Boolean networks

D Laschov, M Margaliot - SIAM Journal on Control and Optimization, 2013 - SIAM
Boolean networks (BNs) are discrete-time dynamical systems with Boolean state variables.
BNs have recently been attracting considerable interest as computational models for …

A polynomial-time algorithm for solving the minimal observability problem in conjunctive Boolean networks

E Weiss, M Margaliot - IEEE Transactions on Automatic Control, 2018 - ieeexplore.ieee.org
Many complex systems in biology, physics, and engineering include a large number of state
variables (SVs), and measuring the full state of the system is often impossible. Typically, a …

Minimal controllability of conjunctive Boolean networks is NP-complete

E Weiss, M Margaliot, G Even - Automatica, 2018 - Elsevier
Given a conjunctive Boolean network (CBN) with n state-variables, we consider the problem
of finding a minimal set of state-variables to directly affect with an input so that the resulting …

[PDF][PDF] A comparative study of qualitative and quantitative dynamic models of biological regulatory networks

A Saadatpour, R Albert - EPJ Nonlinear Biomedical Physics, 2016 - Springer
Background Mathematical modeling of biological regulatory networks provides valuable
insights into the structural and dynamical properties of the underlying systems. While …

A comprehensive, multi-scale dynamical model of ErbB receptor signal transduction in human mammary epithelial cells

T Helikar, N Kochi, B Kowal, M Dimri, M Naramura… - PloS one, 2013 - journals.plos.org
The non-receptor tyrosine kinase Src and receptor tyrosine kinase epidermal growth factor
receptor (EGFR/ErbB1) have been established as collaborators in cellular signaling and …

Integrating interactive computational modeling in biology curricula

T Helikar, CE Cutucache, LM Dahlquist… - PLOS computational …, 2015 - journals.plos.org
While the use of computer tools to simulate complex processes such as computer circuits is
normal practice in fields like engineering, the majority of life sciences/biological sciences …

Applications of personalised signalling network models in precision oncology

JF Hastings, YEI O'Donnell, D Fey… - Pharmacology & …, 2020 - Elsevier
As our ability to provide in-depth, patient-specific characterisation of the molecular
alterations within tumours rapidly improves, it is becoming apparent that new approaches …

Dynamics of influenza virus and human host interactions during infection and replication cycle

A Madrahimov, T Helikar, B Kowal, G Lu… - Bulletin of mathematical …, 2013 - Springer
The replication and life cycle of the influenza virus is governed by an intricate network of
intracellular regulatory events during infection, including interactions with an even more …