• 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. J. Hearne, H.-Y. Lin, P. Sanz-Leon, W.-Y. I. Tseng, S. S.-F. Gau, J. A. Roberts, L. Cocchi (2019). ADHD symptoms map onto noise-driven structure-function decoupling between hub and peripheral brain regions. Molecular Psychiatry (in press).
   
   
2. A. Tokariev, J. A. Roberts, A. Zalesky, X. Zhao, S. Vanhatalo, M. Breakspear, and L. Cocchi (2019). Large-scale brain modes reorganize between infant sleep states and carry prognostic information for preterms. Nature Communications 10: 2619.
   
   
3. J. A. Roberts, L. L. Gollo, R. Abeysuriya, G. Roberts, P. B. Mitchell, M. W. Woolrich, and M. Breakspear (2019). Metastable brain waves. Nature Communications 10: 1056.
   
   
4. H.-Y. Lin, A. Perry, L. Cocchi, J. A. Roberts, W.-Y. I.  Tseng, M. Breakspear, and S. S.-F. Gau (2019). Development of frontoparietal connectivity predicts longitudinal symptom changes in young people with autism spectrum disorder. Translational Psychiatry 9:86.
   
   
5. 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.
   
   
6. 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).
   
   
7. 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.
   
   
8. 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.
   
   
9. 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.
   
   
10. 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.
    
    
11. L. L. Gollo, J. A. Roberts, and L. Cocchi (2017). Mapping how local perturbations influence systems-level brain dynamics. NeuroImage 160:97-112.
    
    
12. 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.
    
    
13. L. L. Gollo, M. Copelli, and J. A. Roberts (2016). Diversity improves performance in excitable networks. PeerJ 4:e1912.
    
    
14. 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.
    
    
15. 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.
    
    
16. 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.
    
    
17. J. A. Roberts, T. W. Boonstra, and M. Breakspear (2015). The heavy tail of the human brain. Current Opinion in Neurobiology 31:164-172.
    
    
18. 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.
    
    
19. 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.
    
    
20. 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.
    
    
21. J. A. Roberts, G. Wallis, and M. Breakspear (2013). Fixational eye movements during viewing of dynamic natural scenes. Frontiers in Psychology 4:797.
    
    
22. 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.
    
    
23. 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.
    
    
24. J. A. Roberts and P. A. Robinson (2012). Quantitative theory of driven nonlinear brain dynamics. NeuroImage 62:1947-1955.
    
    
25. J. A. Roberts and P. A. Robinson (2012). Corticothalamic dynamics: Structure of parameter space, spectra, instabilities, and reduced model. Physical Review E 85:011910.
    
    
26. 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.
    
    
27. 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.
    
    
28. 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.
    
    
29. J. A. Roberts and P. A. Robinson (2008). Modeling distributed axonal delays in mean-field brain dynamics. Physical Review E 78:051901.
    
    
30. 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.
    
    
31. 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.
    
    
32. 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.
    
    
33. 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.