Cielo's research program in the Neurosciences has involved the analysis of a variety of data streams from real dynamical systems including brain enzyme and receptor fluctuations, single brain stem biogenic amine and reticular neuron discharge patterns, brain field electrical potentials, and EEG and MEG generated regional and global data series. Most recently, in collaboration with the NIMH Core MEG Laboratory, we are treating MEG recordings as delocalized electromagnetic flux fields using symmetric sensor difference series. Our data analytic approaches incorporate both stochastic, distributional statistical mechanical techniques and phase space oriented measures from the ergodic theory of (nonuniform hyperbolic) dynamical systems. Our current work also deals with the conservation of (multi-measured) brain entropy and loss of the entropies associated with pathological emergence of aberrant dynamical structure in brain disorders, such a schizophrenia and epilepsy.
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NEUROSCIENCE BIBLIOGRAPHY
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Kuczenski, R. Mandell, A.J. Regulatory properties of soluble and particulate brain tyrosine hydroxylase. J. Biol. Chem., 247:3114-18 1972.
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In (Vallacher, RR, Nowak, A eds) Dynamical Systems in Social Psychology Academic Press, San Diego, 169-195, 1994. Selz, K.A., Mandell, A.J., Anderson, C., Smotherman, W., Teicher, M. Distribution of local Mandelbrot-Hurst exponents: motor activity in cocaine treated fetal rats and manic depressive patients Fractals 3: 893-904, 1995. Mandell, A. J., Selz, K.A. Nonlinear dynamical patterns as personality theory for neurobiology and psychiatry Psychiatry 58: 371-90, 1995. Yang, W., Ding, M., Mandell, A.J., Ott, E. Preserving chaos; control strategies to preserve complex dynamics with potential relevance to biological disorders Phys. Rev. E 51: 102-110, 1995.
Smotherman, W.P., Selz, K.A., Mandell, A.J. Dynamical entropy is conserved during cocaine-induced changes in fetal rat motor patterns Psychoneuroendocrinology 21: 173-187, 1996. Selz, K.A., Mandell, A.J. The power of style: differential operator scaling in the lexical compression of sequences generated by psychological, content free tasks. Complexity 2: 50-55,1997. DiMarzio, E.A, Mandell, A.J. Phase transition behavior of a linear macromolecule threading a membrane J. Chem. Phys. 14:5510-14, 1997. Mandell, A.J., Selz, K.A. Entropy conservation as topological entropy = lyapounov exponent*capacity dimension Chaos 7: 67-81, 1997. Anderson, C., Mandell, A.J., Selz, K.A., Terry, L.M., Wong, C.H., Robinson, S.R. Robertson, S.S, Smotherman, W.P. The development of nuchal atonia associated with active (REM) sleep in fetal sheep: presence of recurrent fractal organization Brain Res 787: 351-7, 1998. Kinkead, B, Selz, K.A., Owens, M.J., Mandell, A.J. Algorithmically designed peptides ameliorate behavioral defects in animal model of ADHD by an allosteric mechanism J Neurosci Methods 151: 68-81, 2006.
Mandell, A.J., Selz, K.A., Holroyd, T., Rutter, L., Coppola, R. Intermittent vorticity, power spectral scaling and dynamical measures on resting brain magnetic field fluctuations. In The Dynamic Brain. (M. Ding ed) 2009 pg 296-337. Mandell, A.J., Selz, K.A., Aven, J., Holroyd, T., Coppola, R. Daydreaming, thought blocking and strudels in the taskless, resting Human Brain's Magnetic fields. American Institute of Physics Proceedings: International Conference on Applications of Nonlinear Dynamics II, 2011, In Press.
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