On the contributions of topological features to transcriptional regulatory network robustness

8Citations
Citations of this article
58Readers
Mendeley users who have this article in their library.

This article is free to access.

Abstract

Background: Because biological networks exhibit a high-degree of robustness, a systemic understanding of their architecture and function requires an appraisal of the network design principles that confer robustness. In this project, we conduct a computational study of the contribution of three degree-based topological properties (transcription factor-target ratio, degree distribution, cross-talk suppression) and their combinations on the robustness of transcriptional regulatory networks. We seek to quantify the relative degree of robustness conferred by each property (and combination) and also to determine the extent to which these properties alone can explain the robustness observed in transcriptional networks.Results: To study individual properties and their combinations, we generated synthetic, random networks that retained one or more of the three properties with values derived from either the yeast or E. coli gene regulatory networks. Robustness of these networks were estimated through simulation. Our results indicate that the combination of the three properties we considered explains the majority of the structural robustness observed in the real transcriptional networks. Surprisingly, scale-free degree distribution is, overall, a minor contributor to robustness. Instead, most robustness is gained through topological features that limit the complexity of the overall network and increase the transcription factor subnetwork sparsity.Conclusions: Our work demonstrates that (i) different types of robustness are implemented by different topological aspects of the network and (ii) size and sparsity of the transcription factor subnetwork play an important role for robustness induction. Our results are conserved across yeast and E Coli, which suggests that the design principles examined are present within an array of living systems. © 2012 Zamal and Ruths; licensee BioMed Central Ltd.

Figures

  • Table 1 The observed values of various topological properties in the reference networks
  • Figure 1 Robustness of different ensembles. The Steady State Retention Ratio (SRR) and Oscillation Retention Ratio (ORR) robustness measures for various ensembles. Plots a-c represent random ensembles drawn from the yeast reference and d-f represent ensembles drawn from the E. Coli reference. Each bar represents one ensemble and the height of the bar and associated error bar represent the mean and standard deviation, respectively, of the observed SRR/ ORR (robustness) values for the ensemble. Despite numerical differences in the robustness values, both yeast and E.coli results consistently show that the transcription factor-target ratio (TTR) and the Cross-talk ratio (CTR) are the most important determinants of robustness, whereas the Scale-free exponential distribution (SFE) is a minor robustness inducer.
  • Figure 2 Effect of the transcription factor abundance on the robustness of E. coli ensembles. The robustness (SRR) values of different networks are plotted against a wide range of the number of transcription factors (TF). All the plots are for an ensemble of 1000 networks where the number of transcription factors has been varied retaining the number of nodes and edges of the E.coli reference as constant. SRR values for one node knockout, α = 0.05 and β = 1% for knockout, parametric and initial condition perturbation have been shown. Increasing the number of transcription factors adversely affects both knockout and initial condition robustness, but does not have a significant effect on parametric robustness.
  • Figure 3 Effect of cross-talk ratio on robustness of E. coli ensembles. The robustness (SRR) values of different networks are plotted against the Cross-talk ratio. All the plots are for an ensemble of networks with the same number of nodes, edges and transcription factors as the E. coli reference where the other topological properties are chosen in random. SRR values for one node knockout, α = 0.05 and β = 1% for knockout, parametric and initial condition perturbation have been shown. Cross-talk influences all three types of robustness. Increasing cross-talk between transcription factors decreases knockout and parametric robustness. For initial condition perturbations, cross-talk has a dual effect on robustness.
  • Figure 4 Increasing the number of transcription factors increases the complexity and decreases robustness.We trace the steady state attractors of 1000 random networks with 100 nodes and 246 edges each (preserving the node-edge ratio of the E.coli network) where the number of TFs have been varied from 5 to 90 for 100 random initial conditions and report the number of attractors (plot a) and size of the largest attractor (plot b) against the number of transcription factor in the system. As we increase the number of TFs, the number of attractor (and the variance) increases and the size of largest attractor (and the variance) decreases.We also plot knockout (plot c) and initial condition robustness (plot d), in terms of SRR values, of these networks. Both knockout and initial condition robustness are strongly affected by the number of attractors, although the trend is stronger for the initial condition robustness.

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Cite

CITATION STYLE

APA

Zamal, F. A., & Ruths, D. (2012). On the contributions of topological features to transcriptional regulatory network robustness. BMC Bioinformatics, 13(1). https://doi.org/10.1186/1471-2105-13-318

Readers over time

‘12‘13‘14‘15‘16‘17‘18‘19‘20‘21‘22‘23‘24‘2505101520

Readers' Seniority

Tooltip

Researcher 16

35%

Professor / Associate Prof. 15

33%

PhD / Post grad / Masters / Doc 14

30%

Lecturer / Post doc 1

2%

Readers' Discipline

Tooltip

Agricultural and Biological Sciences 23

49%

Computer Science 11

23%

Biochemistry, Genetics and Molecular Bi... 8

17%

Engineering 5

11%

Save time finding and organizing research with Mendeley

Sign up for free
0