Robustness of functional networks at criticality against structural defects
| Autor: | Goodarzinick, Abdorreza, Niry, Mohammad D., Valizadeh, Alireza, Perc, Matjaz |
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| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Phys. Rev. E 98, 022312 (2018) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevE.98.022312 |
| Popis: | 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. Comment: 7 two-column pages, 8 figures; accepted for publication in Physical Review E |
| Databáze: | arXiv |
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