Evolution of regulatory networks towards adaptability and stability in a changing environment

Abstract

Diverse biological networks exhibit universal features distinguished from those of random networks, calling much attention to their origins and implications. Here we propose a minimal evolution model of Boolean regulatory networks, which evolve by selectively rewiring links towards enhancing adaptability to a changing environment and stability against dynamical perturbations. We find that sparse and heterogeneous connectivity patterns emerge, which show qualitative agreement with real transcriptional regulatory networks and metabolic networks. The characteristic scaling behavior of stability reflects the balance between robustness and flexibility. The scaling of fluctuation in the perturbation spread shows a dynamic crossover, which is analyzed by investigating separately the stochasticity of internal dynamics and the network structures different depending on the evolution pathways. Our study delineates how the ambivalent pressure of evolution shapes biological networks, which can be helpful for studying general complex systems interacting with environments.

arXiv comment11 pages, 6 Figures

References in corpus (23)

• Emergence of scaling in random networks
• Statistical mechanics of complex networks
• Power-law distributions in empirical data
• The large-scale organization of metabolic networks
• Mean-field theory for scale-free random networks
• Fluctuation scaling in complex systems: Taylor's law and beyond
• Topological Evolution of Dynamical Networks: Global Criticality from Local Dynamics
• Fluctuations in network dynamics
• Separating internal and external dynamics of complex systems
• Scaling breakdown in flow fluctuations on complex networks
• Neutral Mutations and Punctuated Equilibrium in Evolving Genetic Networks
• Emergent Criticality from Co-evolution in Random Boolean Networks
• Damage Spreading and Criticality in Finite Random Dynamical Networks
• Emergent Criticality Through Adaptive Information Processing in Boolean Networks
• Chaotic Gene Regulatory Networks Can Be Robust Against Mutations and Noise
• The effect of scale-free topology on the robustness and evolvability of genetic regulatory networks
• Evolution of Canalizing Boolean Networks
• Perturbation propagation in random and evolved Boolean networks
• Emergence of robustness against noise: A structural phase transition in evolved models of gene regulatory networks
• Evolution of a population of random Boolean networks
• Broad edge of chaos in strongly heterogeneous Boolean networks
• Self-organization of heterogeneous topology and symmetry breaking in networks with adaptive thresholds and rewiring
• Adaptive gene regulatory networks

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