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 …

Computational methodologies for modelling, analysis and simulation of signalling networks

D Gilbert, H Fuss, X Gu, R Orton… - Briefings in …, 2006 - academic.oup.com
This article is a critical review of computational techniques used to model, analyse and
simulate signalling networks. We propose a conceptual framework, and discuss the role of …

Systems Biology Toolbox for MATLAB: a computational platform for research in systems biology

H Schmidt, M Jirstrand - Bioinformatics, 2006 - academic.oup.com
We present a Systems Biology Toolbox for the widely used general purpose mathematical
software MATLAB. The toolbox offers systems biologists an open and extensible …

Reduction of a biochemical model with preservation of its basic dynamic properties

S Danø, MF Madsen, H Schmidt… - The FEBS …, 2006 - Wiley Online Library
The complexity of full‐scale metabolic models is a major obstacle for their effective use in
computational systems biology. The aim of model reduction is to circumvent this problem by …

Kinetic parameters of volatile fatty acids uptake in the ADM1 as key factors for modeling co-digestion of silages with pig manure, thin stillage and glycerine phase

K Bułkowska, I Białobrzewski, E Klimiuk, T Pokoj - Renewable Energy, 2018 - Elsevier
The present study extended the Anaerobic Digestion Model No. 1 (ADM1) to simulate co-
digestion of silages with pig manure and thin stillage, pig manure and glycerine phase, or …

Robust stability and instability of biochemical networks with parametric uncertainty

S Waldherr, F Allgöwer - Automatica, 2011 - Elsevier
Parameter perturbations in dynamical models of biochemical networks affect the qualitative
dynamical behaviour observed in the model. Since this qualitative behaviour is in many …

Control Theory and Systems Biology: Potential Applications in Neurodegeneration and Search for Therapeutic Targets

A Angarita-Rodríguez, Y González-Giraldo… - International Journal of …, 2023 - mdpi.com
Control theory, a well-established discipline in engineering and mathematics, has found
novel applications in systems biology. This interdisciplinary approach leverages the …

Graphical methods for analysing feedback in biological networks–A survey

N Radde, NS Bar, M Banaji - International Journal of Systems …, 2010 - Taylor & Francis
Observed phenotypes usually arise from complex networks of interacting cell components.
Qualitative information about the structure of these networks is often available, while …

E-photosynthesis: a comprehensive modeling approach to understand chlorophyll fluorescence transients and other complex dynamic features of photosynthesis in …

L Nedbal, J Červený, U Rascher, H Schmidt - Photosynthesis research, 2007 - Springer
Plants are exposed to a temporally and spatially heterogeneous environment, and
photosynthesis is well adapted to these fluctuations. Understanding of the complex, non …

Steady-state kinetic modeling constrains cellular resting states and dynamic behavior

JE Purvis, R Radhakrishnan… - PLoS computational …, 2009 - journals.plos.org
A defining characteristic of living cells is the ability to respond dynamically to external stimuli
while maintaining homeostasis under resting conditions. Capturing both of these features in …