Model reductions in biochemical reaction networks

SHA Khoshnaw - 2015 - figshare.le.ac.uk
Many complex kinetic models in the field of biochemical reactions contain a large number of
species and reactions. These models often require a huge array of computational tools to …

Methods of model reduction for large-scale biological systems: a survey of current methods and trends

TJ Snowden, PH van der Graaf, MJ Tindall - Bulletin of mathematical …, 2017 - Springer
Complex models of biochemical reaction systems have become increasingly common in the
systems biology literature. The complexity of such models can present a number of …

Layered decomposition for the model order reduction of timescale separated biochemical reaction networks

TP Prescott, A Papachristodoulou - Journal of theoretical biology, 2014 - Elsevier
Biochemical reaction networks tend to exhibit behaviour on more than one timescale and
they are inevitably modelled by stiff systems of ordinary differential equations. Singular …

Reduction of dynamical biochemical reactions networks in computational biology

O Radulescu, AN Gorban, A Zinovyev, V Noel - Frontiers in genetics, 2012 - frontiersin.org
Biochemical networks are used in computational biology, to model mechanistic details of
systems involved in cell signaling, metabolism, and regulation of gene expression …

Robust simplifications of multiscale biochemical networks

O Radulescu, AN Gorban, A Zinovyev… - BMC systems …, 2008 - Springer
Background Cellular processes such as metabolism, decision making in development and
differentiation, signalling, etc., can be modeled as large networks of biochemical reactions …

A model reduction method for biochemical reaction networks

S Rao, A der Schaft, K Eunen, BM Bakker… - BMC systems …, 2014 - Springer
Background In this paper we propose a model reduction method for biochemical reaction
networks governed by a variety of reversible and irreversible enzyme kinetic rate laws …

[PDF][PDF] A guideline to model reduction by stoichiometric decomposition for biochemical network analysis

S Waldherr - Proceedings of the 21st International Symposium on …, 2014 - lirias.kuleuven.be
Many biochemical network models include quantities that are conserved in molarity. While
important theoretical results rely on such conservation relations, they often pose a problem …

An automated model reduction method for biochemical reaction networks

M Gasparyan, A Van Messem, S Rao - Symmetry, 2020 - mdpi.com
We propose a new approach to the model reduction of biochemical reaction networks
governed by various types of enzyme kinetics rate laws with non-autocatalytic reactions …

A combined model reduction algorithm for controlled biochemical systems

TJ Snowden, PH Van Der Graaf, MJ Tindall - BMC systems biology, 2017 - Springer
Abstract Background Systems Biology continues to produce increasingly large models of
complex biochemical reaction networks. In applications requiring, for example, parameter …

Mathematical modelling for complex biochemical networks and identification of fast and slow reactions

SHA Khoshnaw, HM Rasool - The international conference on …, 2019 - Springer
This paper reviews some mathematical models of biochemical reaction networks. The
models contain a large number species and reactions. This is a difficult task and it requires …