Annotated Bibliography
Baev, Konstantin V. Biological Neural Networks: The Hierarchical Concept of Brain Function. Boston: Birkhauser, 1998.
Useful for the global concept of neural networks.
Bewernitz, Michael, Georges Ghacibeh, Onur Seref, Panos M. Pardalos, Chang-Chia Liu, and Basim Uthman. "Quantification of the impact of vagus nerve stimulation parameters on electroencephalographic measures." AIP Conference Proceedings. 2007. 206-219.
Extremely significant article that demonstrated mathematical modeling related to the VNS treatment.
Bloom, Floyd E., M. Flint Beal, and David J. Kupfer, . The Dana Guide to Brain Health. New York: Dana Press, 2006.
An excellent, comprehensive book for background brain information.
Boom, Floyd, E., ed. Best of the Brain From Scientific American. New York: Dana Press, 2007.
Contains relatively current articles including one on VNS.
Boron, Walter F. and Emile L. Boulpaep, ed. Medical Physiology. Philadelphia: Elsevier Saunders, 2005.
An essential textbook on brain physiological for background information.
Casado, Jose Manuel. "Synchronization of two Hodgkin-Huxley neurons due to internal noise." 2003: 1-7.
An article that initiated the quantification of neural connections using the HH model.
Chauvet, G.A., and T.W. Berger. "Hierarchical Model of the Population Dynamics of Hippocampal Dentate Granule Cells." Hippocampus, 12 2002: 698-712.
A marginally useful article.
Cronin, Jane. Mathematical aspects of Hodgkin-Huxley neural theory. New York: Cambridge University Press, 1987.
A more comprehensive approach to mathematical modeling of neural theory using the HH model.
Doidge, Norman. The Brain That Changes Itself: Stories of Personal Triumph from the Frontiers of Brain Science. London: Penguin Books, 2007.
An excellent, accessible book about the plasticity of the brain.
Follesa, Paolo, et al. "Vagus nerve stimulation increases norepinephrine concentration and the gen expression of BDNF and bFGF in the rat brain." 2007: 1-9.
A specific article relating VNS to chemical impacts in the rat brain.
Hoppensteadt, Frank C. An Introduction to the Mathematics of Neurons. second edition. New York: Cambridge University Press, 1997.
An early approach to linking mathematics in the study of neurons.
Iasemidis, Leon D., Deng-Shan Shiau, J. Chris Sackellares, Panos M. Pardalos, and Awadhesh Prasad. "Dynamical Resetting of the Human Brain at Epileptic Seizures: Application of Nonlinear Dynamics and Global Optimization Techniques." IEEE Transaction on Biomedical Engineering , March 2004: 504-505.
Quintessential article explaining the mechanism of VNS treatment.
Levine, Daniel S. Introduction to Neural and Cognitive Modeling. second edition. Mahwah, New Jersey: Lawrence Erlbaum Associates, Publishers, 2000.
A book introducing neural and cognitive modeling.
Li, Yan-Long, Zhao-Yang Chen, Jun Ma, and Yu-Hong Chen. "Simulation study of stimulation parameters in desynchronisation based on the Hodgkin-Huxley small-world neuralnetworks and its possible implications for vagus nerve stimulation." Acta Neuropsychiatrica, 2008: 25-30.
A key article in my linking VNS and the HH model.
Mickle, Marlin H., et al. "Patent title: Vagus Nerve Stimulation Apparatus, and Associated Methods." Patent, 2009.
My patent from this May for work done in 2005.
Piccinini, Gualtiero, and Andrea Scarantino. "Computation vs. Information Processing: Why Their Difference Matters to Cognitive Science." Studies in the History and Philosophy of Science, Forthcoming.
Interesting article on the nature of digital computation and cognitive science.
Phillips, Rob, Jane Kondev, and Julie Theriot. Physical Biology of the Cell. New York: Garland Science, 2009.
An invaluable, discernible resource book on biophysics and the mathematical derivations of useful equations.
Strogatz, Stephen. Sync: The Emerging Science of Spontaneous Order. New York: Hyperion Books, 2003.
A book that examines the natural occurrence of synchronicity.
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