• Neural field and neural mass models
• Brain networks, connectomics
  
• Burst suppression dynamics in neonatal EEG
• Preterm EEG
• Eye movements in natural vision
• Scale-free dynamics and criticality
  

Publications (also see Google Scholar profile)

Articles:

1. L. L. Gollo, J. A. Roberts, V. L. Cropley, M. A. Di Biase, C. Pantelis, A. Zalesky, and M. Breakspear (2018). Fragility and volatility of structural hubs in the human connectome. Nature Neuroscience 21:1107-1116.
   
   
2. J. A. Roberts and M. Breakspear (2018). Synaptic assays: using biophysical models to infer neuronal dysfunction from non-invasive EEG. Brain 141: 1583 (commentary on this).
   
   
3. J. A. Roberts, K. J. Friston, and M. Breakspear (2017). Clinical applications of stochastic dynamic models of the brain, Part I: A primer. Biological Psychiatry: Cognitive Neuroscience and Neuroimaging 2: 216-224.
   
   
4. J. A. Roberts, K. J. Friston, and M. Breakspear (2017). Clinical applications of stochastic dynamic models of the brain, Part II: A review. Biological Psychiatry: Cognitive Neuroscience and Neuroimaging 2: 225-234.
   
   
5. P. Mukhopadhyay, J. A. Roberts, and G. J. Walker (2017). Further assessment of exome wide UVR footprints in melanoma and their possible relevance. Molecular Carcinogenesis 56:1673-1679.
   
   
6. J. J. Chapman, J. A. Roberts, V. T. Nguyen, and M. Breakspear (2017). Quantification of free-living activity patterns using accelerometry in adults with mental illness. Scientific Reports 7:43174.
   
   
7. L. L. Gollo, J. A. Roberts, and L. Cocchi (2017). Mapping how local perturbations influence systems-level brain dynamics. NeuroImage 160:97-112.
   
   
8. J. A. Roberts, A. Perry, G. Roberts, P. B. Mitchell, and M. Breakspear (2017). Consistency-based thresholding of the human connectome. NeuroImage 145:118-129.
   
   
9. L. L. Gollo, M. Copelli, and J. A. Roberts (2016). Diversity improves performance in excitable networks. PeerJ 4:e1912.
   
   
10. J. A. Roberts, A. Perry, A. R. Lord, G. Roberts, P. B. Mitchell, R. E. Smith, F. Calamante, and M. Breakspear (2016). The contribution of geometry to the human connectome. NeuroImage 124:379-393.
    
    
11. K. K. Iyer, J. A. Roberts, L. Hellström-Westas, S. Wikström, I. Hansen-Pupp, D. Ley, M. Breakspear, and S. Vanhatalo (2015). Early detection of preterm intraventricular hemorrhage from clinical electroencephalography. Critical Care Medicine 43:2219-2227.
    
    
12. K. K. Iyer, J. A. Roberts, L. Hellström-Westas, S. Wikström, I. Hansen-Pupp, D. Ley, S. Vanhatalo, and M. Breakspear (2015). Cortical burst dynamics predict clinical outcome early in extremely preterm infants. Brain 138:2206-2218.
    
    
13. J. A. Roberts, T. W. Boonstra, and M. Breakspear (2015). The heavy tail of the human brain. Current Opinion in Neurobiology 31:164-172.
    
    
14. J. A. Roberts, K. K. Iyer, S. Vanhatalo, and M. Breakspear (2014). Critical role for resource constraints in neural models. Frontiers in Systems Neuroscience 8:154.
    
    
15. J. A. Roberts, K. K. Iyer, S. Finnigan, S. Vanhatalo, and M. Breakspear (2014). Scale-free bursting in human cortex following hypoxia at birth. Journal of Neuroscience 34:6557-6572.
    
    
16. K. K. Iyer, J. A. Roberts, M. Metsäranta, S. Finnigan, M. Breakspear, S. Vanhatalo (2014). Novel features of early burst suppression predict outcome after birth asphyxia. Annals of Clinical and Translational Neurology 1:209-214.
    
    
17. J. A. Roberts, G. Wallis, and M. Breakspear (2013). Fixational eye movements during viewing of dynamic natural scenes. Frontiers in Psychology 4:797.
    
    
18. M. J. Aburn, C. A. Holmes, J. A. Roberts, T. W. Boonstra, and M. Breakspear (2012). Critical fluctuations in cortical models near instability. Frontiers in Physiology 3:331.
    
    
19. F. Freyer, J. A. Roberts, P. Ritter, and M. Breakspear (2012). A canonical model of multistability and scale-invariance in biological systems. PLoS Computational Biology 8:e1002634.
    
    
20. J. A. Roberts and P. A. Robinson (2012). Quantitative theory of driven nonlinear brain dynamics. NeuroImage 62:1947-1955.
    
    
21. J. A. Roberts and P. A. Robinson (2012). Corticothalamic dynamics: Structure of parameter space, spectra, instabilities, and reduced model. Physical Review E 85:011910.
    
    
22. P. A. Robinson, A. J. K. Phillips, B. D. Fulcher, M. Puckeridge, J. A. Roberts (2011). Quantitative modelling of sleep dynamics. Phil. Trans. R. Soc. A 369:3840-3854.
    
    
23. F. Freyer, J. A. Roberts, R. Becker, P. A. Robinson, P. Ritter, and M. Breakspear (2011). Biophysical mechanisms of multistability in resting-state cortical rhythms. Journal of Neuroscience 31:6353-6361.
    
    
24. J. W. Kim, J. A. Roberts, and P. A. Robinson (2009). Dynamics of epileptic seizures: Evolution, spreading, and suppression. Journal of Theoretical Biology 257:527-532.
    
    
25. J. A. Roberts and P. A. Robinson (2008). Modeling distributed axonal delays in mean-field brain dynamics. Physical Review E 78:051901.
    
    
26. J. A. Roberts and P. A. Robinson (2008). Modeling absence seizure dynamics: Implications for basic mechanisms and measurement of thalamocortical and corticothalamic latencies. Journal of Theoretical Biology 253:189-201.
    
    
27. A. K. I. Chiang, C. J. Rennie, P. A. Robinson, J. A. Roberts, M. K. Rigozzi, R.W. Whitehouse, R. J. Hamilton, and E. Gordon (2008). Automated characterization of multiple alpha peaks in multi-site electroencephalograms. Journal of Neuroscience Methods 168:396-411.
    
    
28. Yu. Tyshetskiy, J. A. Roberts, P. A. Robinson, I. H. Cairns, and B. Li (2007). Spatiotemporal correlation functions in beam-driven plasmas with fluctuations. Physics of Plasmas 14:122111.
    
    
29. M. Breakspear, J. A. Roberts, J. R. Terry, S. Rodrigues, N. Mahant, and P. A. Robinson (2006). A unifying explanation of primary generalized seizures through nonlinear brain modeling and bifurcation analysis. Cerebral Cortex 16:1296-1313.

Book chapters:

1. P. A. Robinson, S. Postnova, R. G. Abeysuriya, J. W. Kim, J. A. Roberts, L. McKenzie-Sell, A. Karanjai, C. C. Kerr, F. Fung, R. Anderson, M. J. Breakspear, P. M. Drysdale, B. D. Fulcher, A. J. K. Phillips, C. J. Rennie, and G. Yin (2015). A Multiscale “Working Brain” Model. In “Validating Neuro-Computational Models of Neurological and Psychiatric Disorders”, B. S. Bhattacharya and F. N. Chowdhury, eds. New York: Springer. Springer Series in Computational Neuroscience vol. 14, ch. 5, pp. 107-140.
   
   
2. P. A. Robinson, A. J. K. Phillips, B. D. Fulcher, M. Puckeridge, J. A. Roberts, and C. J. Rennie (2011). Quantitative modeling of sleep dynamics. In “Sleep and Anesthesia: Neural Correlates in Theory and Experiment”, A. Hutt, ed. New York: Springer. Springer Series in Computational Neuroscience vol. 15, ch. 3, pp. 45-68.
   
   
3. P. A. Robinson, C. J. Rennie, A. J. K. Phillips, J. W. Kim, and J. A. Roberts (2010). Phase transitions in physiologically-based multiscale mean-field brain models. In “Modeling Phase Transitions in the Brain”, D. A. Steyn-Ross and M. Steyn-Ross, eds. New York: Springer. Springer Series in Computational Neuroscience vol. 4, ch. 8, pp. 179-201.
   
   
4. P. A. Robinson, M. Breakspear, and J. A. Roberts (2008). Unified modeling and analysis of primary generalized seizures. In “Computational Neuroscience in Epilepsy”, I. Soltesz and K. Staley, eds. San Diego: Academic Press.