TY  - JOUR
A1  - Larhlimi, Abdelhalim
A1  - Blachon, Sylvain
A1  - Selbig, Joachim
A1  - Nikoloski, Zoran
T1  - Robustness of metabolic networks a review of existing definitions
JF  - Biosystems : journal of biological and information processing sciences
N2  - Describing the determinants of robustness of biological systems has become one of the central questions in systems biology. Despite the increasing research efforts, it has proven difficult to arrive at a unifying definition for this important concept. We argue that this is due to the multifaceted nature of the concept of robustness and the possibility to formally capture it at different levels of systemic formalisms (e.g, topology and dynamic behavior). Here we provide a comprehensive review of the existing definitions of robustness pertaining to metabolic networks. As kinetic approaches have been excellently reviewed elsewhere, we focus on definitions of robustness proposed within graph-theoretic and constraint-based formalisms.
KW  - Robustness
KW  - Metabolic networks
KW  - Graph theory
KW  - Constraint-based approaches
Y1  - 2011
U6  - https://doi.org/10.1016/j.biosystems.2011.06.002
SN  - 0303-2647
VL  - 106
IS  - 1
SP  - 1
EP  - 8
PB  - Elsevier
CY  - Oxford
ER  - 
TY  - JOUR
A1  - Heckmann, Tobias
A1  - Schwanghart, Wolfgang
A1  - Phillips, Jonathan D.
T1  - Graph theory-recent developments of its application in geomorphology
JF  - Geomorphology : an international journal on pure and applied geomorphology
N2  - Applications of graph theory have proliferated across the academic spectrum in recent years. Whereas geosciences and landscape ecology have made rich use of graph theory, its use seems limited in physical geography, and particularly in geomorphology. Common applications of graph theory analyses of connectivity, path or transport efficiencies, subnetworks, network structure, system behaviour and dynamics, and network optimization or engineering all have uses or potential uses in geomorphology and closely related fields. In this paper, we give a short introduction to graph theory and review previous geomorphological applications or works in related fields that have been particularly influential. Network-like geomorphic systems can be classified into nonspatial or spatially implicit system components linked by statistical/causal relationships and spatial units linked by some spatial relationship, for example by fluxes of matter and/or energy. We argue that, if geomorphic system properties and behaviour (e.g., complexity, sensitivity, synchronisability, historical contingency, connectivity etc.) depend on system structure and if graph theory is able to quantitatively describe the configuration of system components, then graph theory should provide us with tools that help in quantifying system properties and in inferring system behaviour. (C) 2015 Elsevier B.V. All rights reserved.
KW  - Graph theory
KW  - Network analysis
KW  - Spatial and nonspatial graphs
KW  - Geomorphic systems
KW  - Modelling
Y1  - 2015
U6  - https://doi.org/10.1016/j.geomorph.2014.12.024
SN  - 0169-555X
SN  - 1872-695X
VL  - 243
SP  - 130
EP  - 146
PB  - Elsevier
CY  - Amsterdam
ER  -