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IPM
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“School of Cognitive Sciences”

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Paper   IPM / Cognitive Sciences / 15335
School of Cognitive Sciences
  Title:   Robustness of functional networks at criticality against structural defects
  Author(s): 
1.  A. Goodarzinick
2.  M. Niry
3.  A. Valizadeh
4.  M. Perc
  Status:   Published
  Journal: PHYSICAL REVIEW E
  Year:  2018
  Pages:   1-7
  Supported by:  IPM
  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 two-dimensional 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.

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