In particular, large-scale network modeling and simulations of the primary visual cortex in order to understand mechanisms underlying experimental observations, discovery of new mathematical structures and theories to understand biological neuronal network dynamics, design of fast numerical algorithms for large-scale simulations. In addition, studies of phase behavior and pattern formation in soft condensed matter systems, chaotic and turbulent dynamics in nonlinear dispersive waves.
V.J. Barranca, G. Kovacic, D. Zhou and D. Cai, “Improved compressive sensing of natural scenes using localized random sampling”, Sci. Rep., 6, 31976, 2016.
V.J. Barranca, D. Zhou and D. Cai, “A novel characterization of amalgamated networks in natural systems ”, Sci. Rep., 5, 10611, 2015.
S. Li, N. Liu, X. Zhang, D. Zhou and D. Cai, “Bilinearity in Spatiotemporal integration of synaptic inputs”, PLoS Comput. Biol., 10 (12), e1004014, 2014.
V.J. Barranca, G. Kovacic, D. Zhou and D. Cai, “Sparsity and compressed coding in sensory systems”, PLoS Comput. Biol., 10 (8), e1003793, 2014.
D. Zhou, Y. Zhang, Y. Xiao and D. Cai, “Reliability of the Granger causality inference”, New J. Phys., 16 (4), 043016, 2014.
D. Zhou, Y. Xiao, Y. Zhang, Z. Xu and D. Cai, “Granger causality network reconstruction of conductance-based integrate-and-fire neuronal systems”, PLoS ONE, 9 (2), e87636, 2014.
D. Zhou, Y. Xiao, Y. Zhang, Z. Xu and D. Cai, “Causal and structural connectivity of pulse-coupled nonlinear networks”, Phys. Rev. Lett, 111 (5), 054102, 2013.
D. Zhou, A.V. Rangan, D.W. McLaughlin and D. Cai, “Spatiotemporal dynamics of neuronal population response in the primary visual cortex”, Proc. Natl. Acad. Sci., USA, 110 (23), 9517-9522, 2013.
D. Zhou, S. Li, X. Zhang and D. Cai, “Phenomenological incorporation of nonlinear dendritic integration using integrate-and-fire neuronal frameworks”, PLoS ONE, 8 (1), e53508, 2013.
D. Zhou, Y. Sun, A.V. Rangan and D. Cai, “Spectrum of Lyapunov exponents of non-smooth dynamical systems of integrate-and-fire type”, J. Comput. Neurosci., 28 (2), 229-245, 2010.
D. Zhou, A.V. Rangan, Y. Sun and D. Cai, “Network-induced chaos in integrate-and-fire neuronal ensembles”, Phys. Rev. E, 80 (3), 031918, 2009.
Y. Sun, D. Zhou, A.V. Rangan and D. Cai, “Library-based numerical reduction of the Hodgkin–Huxley neuron for network simulation”, J. Comput. Neurosci., 27 (3), 369-390, 2009.
D. Zhou, A.C. Shi and P. Zhang, “Numerical simulation of phase separation coupled with crystallization”, J. Chem. Phys., 129 (15), 154901, 2008.
D. Zhou, P. Zhang and W. E, “Modified models of polymer phase separation”, Phys. Rev. E, 73 (6), 061801, 2006.