Robustness of functional networks at criticality against structural defects

Abstract

The robustness of dynamical properties of neuronal networks against structural damages is a central problem in computational and experimental neuroscience. Research has shown that the cortical network of a healthy brain works near a critical state, and moreover, that functional neuronal networks often have scale-free and small-world properties. In this work, we study how the robustness of simple functional networks at criticality is affected by structural defects. In particular, we consider a 2D Ising model at the critical temperature and investigate how its functional network changes with the increasing degree of structural defects. We show that the scale-free and small-world properties of the functional network at criticality are robust against large degrees of structural lesions while the system remains below the percolation limit. Although the Ising model is only a conceptual description of a two-state neuron, our research reveals fundamental robustness properties of functional networks derived from classical statistical mechanics models.

arXiv comment7 two-column pages, 8 figures; accepted for publication in Physical Review E

References in corpus (13)

• Scale-free brain functional networks
• Emergent complex neural dynamics
• Efficient Monte Carlo algorithm and high-precision results for percolation
• Brain organization into resting state networks emerges at criticality on a model of the human connectome
• A small-world of weak ties provides optimal global integration of self-similar modules in functional brain networks
• Rare region effects at classical, quantum, and non-equilibrium phase transitions
• Griffiths phases and the stretching of criticality in brain networks
• The Ising Model for Neural Data: Model Quality and Approximate Methods for Extracting Functional Connectivity
• Ising-like dynamics in large-scale functional brain networks
• Griffiths phases on complex networks
• Self-similar correlation function in brain resting-state fMRI
• What kind of noise is brain noise: anomalous scaling behavior of the resting brain activity fluctuations
• Network Cosmology

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