Reverse engineering and identification in systems biology: strategies, perspectives and challenges

AF Villaverde, JR Banga - Journal of the Royal Society …, 2014 - royalsocietypublishing.org
The interplay of mathematical modelling with experiments is one of the central elements in
systems biology. The aim of reverse engineering is to infer, analyse and understand …

Mathematical analysis of chemical reaction systems

PY Yu, G Craciun - Israel Journal of Chemistry, 2018 - Wiley Online Library
The use of mathematical methods for the analysis of chemical reaction systems has a very
long history, and involves many types of models: deterministic versus stochastic, continuous …

Foundations of chemical reaction network theory

M Feinberg - 2019 - Springer
When I am called upon to teach fluid mechanics, I always show students a copy of Newton's
Principia. I do this for a number of reasons, not least of which is the connection I hope they …

Structural identifiability of systems biology models: a critical comparison of methods

OT Chis, JR Banga, E Balsa-Canto - PloS one, 2011 - journals.plos.org
Analysing the properties of a biological system through in silico experimentation requires a
satisfactory mathematical representation of the system including accurate values of the …

A proof of the global attractor conjecture in the single linkage class case

DF Anderson - SIAM Journal on Applied Mathematics, 2011 - SIAM
This paper is concerned with the dynamical properties of deterministically modeled chemical
reaction systems. Specifically, this paper provides a proof of the Global Attractor Conjecture …

A tutorial on Chemical Reaction Networks dynamics

D Angeli - 2009 European Control Conference (ECC), 2009 - ieeexplore.ieee.org
Chemical Reaction Networks (CRN for short) can be effectively modeled by means of
nonlinear, parameter-dependent systems of ordinary differential equations. The uncertain …

Benchmarking chemical neural ordinary differential equations to obtain reaction network-constrained kinetic models from spectroscopic data

A Puliyanda, K Srinivasan, Z Li, V Prasad - Engineering Applications of …, 2023 - Elsevier
Kinetic model identification relies on accurate concentration measurements and physical
constraints to limit solution multiplicity. Not having these measurements and prior knowledge …

The smallest bimolecular mass action reaction networks admitting Andronov–Hopf bifurcation

M Banaji, B Boros - Nonlinearity, 2023 - iopscience.iop.org
We address the question of which small, bimolecular, mass action chemical reaction
networks (CRNs) are capable of Andronov–Hopf bifurcation (from here on abbreviated …

Fundamental limitations of network reconstruction from temporal data

MT Angulo, JA Moreno, G Lippner… - Journal of the …, 2017 - royalsocietypublishing.org
Inferring properties of the interaction matrix that characterizes how nodes in a networked
system directly interact with each other is a well-known network reconstruction problem …

Parameter estimation for contact tracing in graph-based models

A Okolie, J Müller… - Journal of the Royal …, 2023 - royalsocietypublishing.org
We adopt a maximum-likelihood framework to estimate parameters of a stochastic
susceptible–infected–recovered (SIR) model with contact tracing on a rooted random tree …