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See detailRelations between the set-complexity and the structure of graphs and their sub-graphs
Ignac, Tomasz UL; Sakhanenko, Nikita; Galas, David J. UL

in EURASIP Journal on Bioinformatics & Systems Biology (2012), 13

We describe some new conceptual tools for the rigorous, mathematical description of the “set-complexity” of graphs. This set-complexity has been shown previously to be a useful measure for analyzing some ... [more ▼]

We describe some new conceptual tools for the rigorous, mathematical description of the “set-complexity” of graphs. This set-complexity has been shown previously to be a useful measure for analyzing some biological networks, and in discussing biological information in a quantitative fashion. The advances described here allow us to define some significant relationships between the set-complexity measure and the structure of graphs, and of their component sub-graphs. We show here that modular graph structures tend to maximize the set-complexity of graphs. We point out the relationship between modularity and redundancy, and discuss the significance of set-complexity in this regard. We specifically discuss the relationship between complexity and entropy in the case of complete-bipartite graphs, and present a new method for constructing highly complex, binary graphs. These results can be extended to the case of ternary graphs, and to other multi-edge graphs, which are fundamentally more relevant to biological structures and systems. Finally, our results lead us to an approach for extracting high complexity modular graphs from large, noisy graphs with low information content. We illustrate this approach with two examples. [less ▲]

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See detailA systems biology approach to analyse leaf carbohydrate metabolism in Arabidopsis thaliana.
Henkel, Sebastian; Nagele, Thomas; Hormiller, Imke et al

in EURASIP Journal on Bioinformatics & Systems Biology (2011), 2011(1), 2

Plant carbohydrate metabolism comprises numerous metabolite interconversions, some of which form cycles of metabolite degradation and re-synthesis and are thus referred to as futile cycles. In this study ... [more ▼]

Plant carbohydrate metabolism comprises numerous metabolite interconversions, some of which form cycles of metabolite degradation and re-synthesis and are thus referred to as futile cycles. In this study, we present a systems biology approach to analyse any possible regulatory principle that operates such futile cycles based on experimental data for sucrose (Scr) cycling in photosynthetically active leaves of the model plant Arabidopsis thaliana. Kinetic parameters of enzymatic steps in Scr cycling were identified by fitting model simulations to experimental data. A statistical analysis of the kinetic parameters and calculated flux rates allowed for estimation of the variability and supported the predictability of the model. A principal component analysis of the parameter results revealed the identifiability of the model parameters. We investigated the stability properties of Scr cycling and found that feedback inhibition of enzymes catalysing metabolite interconversions at different steps of the cycle have differential influence on stability. Applying this observation to futile cycling of Scr in leaf cells points to the enzyme hexokinase as an important regulator, while the step of Scr degradation by invertases appears subordinate. [less ▲]

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See detailModeling time delay in the NFkappaB signaling pathway following low dose IL-1 stimulation.
Witt, Johannes; Barisic, Sandra; Sawodny, Oliver et al

in EURASIP Journal on Bioinformatics & Systems Biology (2011), 2011(1), 3

Stimulation of human epithelial cells with IL-1 (10 ng/ml) + UVB radiation results in sustained NFkappaB activation caused by continuous IKKbeta phosphorylation. We have recently published a strictly ... [more ▼]

Stimulation of human epithelial cells with IL-1 (10 ng/ml) + UVB radiation results in sustained NFkappaB activation caused by continuous IKKbeta phosphorylation. We have recently published a strictly reduced ordinary differential equation model elucidating the involved mechanisms. Here, we compare model extensions for low IL-1 doses (0.5 ng/ml), where delayed IKKbeta phosphorylation is observed. The extended model including a positive regulatory element, most likely auto-ubiquitination of TRAF6, reproduces the observed experimental data most convincingly. The extension is shown to be consistent with the original model and contains very sensitive processes which may serve as potential intervention targets. [less ▲]

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