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Quantitative Neuroscience: From Chalk Board to Bedside

Published online by Cambridge University Press:  10 March 2010

John G. Milton
John G. Milton*
Affiliation:
W. H. Keck Science Center, The Claremont Colleges, Claremont, CA 91711, USA
*
1 Corresponding author. E-mail: [email protected]

Abstract

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Type
Editorial
Information
Mathematical Modelling of Natural Phenomena , Volume 5 , Issue 2: Mathematics and neuroscience , 2010 , pp. 1 - 4
Copyright
© EDP Sciences, 2010

References

Åkerberg, O. A. Chacron, M. J.. Noise shaping in neural populations with global delayed feedback . Math. Model. Nat. Phenom., 5 (2010), 100–124.CrossRefGoogle Scholar
de Ville, R. E. L., Peskin, C. S. Spencer, J. H.. Dynamics of stochastic neuronal networks and the connections to random graph theory . Math. Model. Nat. Phenom., 5 (2010), 26–66.CrossRefGoogle Scholar
Fairhurst, D., Tyukin, I., Nijmeijer, H. van Leeuwen, C.. Observers for canonic models of coupled oscillators . Math. Model. Nat. Phenom., 5 (2010), 146–184.CrossRefGoogle Scholar
Fromhertz, P. Stent, A.. Silicon–neuron junction: Capacitive stimulation of an individual neuron on a silicon chip . Phys. Rev. Lett., 75 (1995), 1670–1673.CrossRefGoogle Scholar
Garenne, A., Henry, J. Tarniceriu, C. O.. Analysis of synchronization in a neural population by a population density approach . Math. Model. Nat. Phenom., 5 (2010), 5–25.CrossRefGoogle Scholar
Hastopoulos, N. G. Donoghue, J. P.. The science of neural interface systems . Annu. Rev. Neurosci., 32 (2009), 249–266.CrossRefGoogle Scholar
Hochberg, L. R.. Turning thought into action . New. Eng. J. Med., 359 (2008), 1175–1177.CrossRefGoogle Scholar
Kim, S–P., Simeral, J., Hochberg, L., Donoghue, J. P. Black, M. J.. Neural control of computer cursor velocity be decoding cortical spiking activity by humans with tetraplegia . J. Neurol Engn., 5 (2008), 455–476.CrossRefGoogle ScholarPubMed
Kuiken, T. A., Miller, L. A., Lipschutz, R. D., Luck, B. A., Stubblefield, K., Marasco, P. A., Zhou, P. Dumanian, G. A.. Targeted reinervation for enhanced prosthetic arm function in a woman with a proximal amputation: a case study . Lancet, 369 (2007), 371–380.CrossRefGoogle Scholar
Ma, J. Wu, J.. Patterns, memory and periodicity in two–neuron delayed recurrent inhibitory loops . Math. Model. Nat. Phenom., 5 (2010), 67–99.CrossRefGoogle Scholar
J. Milton, P. Jung. Epilepsy as a dynamic disease. Springer, New York, 2003.
J. Milton, J. Foss. Oscillations and multistability in delayed feedback control. In: Case Studies in Mathematical Modeling: Ecology, physiology and cell biology (H. G. Othmer, F. R. Adler, M. A. Lewis, J. C. Dallon, eds). Prentice Hall, Upper Saddle River, NJ, 1997, pp. 179–198.
Milton, J., Naik, P., Chan, C. Campbell, S. A.. Indecision in neural decision making models . Math. Model. Nat. Phenom., 5 (2010), 125–145.CrossRefGoogle Scholar
Modolo, L., Edwards, R., Campagnaud, J., Bhattacharya, B. Beuter, A.. Past, present and future of brain stimulation . Math. Model. Nat. Phenom., 5 (2010), 185–207.CrossRefGoogle Scholar
Monti, M. M., Vanhaudenhuyse, A., Coleman, M. R., Boly, M., Pickard, J. D., Tshibanda, L., Owen, A. M. Laureys, S.. Willful modulation of brain activity in disorders of consciousness . New Eng. J. Med., 362 (2010), 579–589.CrossRefGoogle ScholarPubMed
Osorio, I. Frei, M. G.. Real–time detection, quantification, warning, and control of epileptic seizures: The foundations for a scientific epileptology . Epilepsy Behav., 16 (2009), 391–396.CrossRefGoogle ScholarPubMed
P. M. Pardalos, J. C. Sackellares, P. R. Carney, L. D. Iasemidis, eds. Quantitative Neuroscience: Models, algorithms, diagnostics and therapeutic applications. Kluwer Academic Publications, New York, 2004.
Sharp, A. A., O’Neil, M. B., Abbott, L. F. Marder, E.. The dynamic clamp: artificial conductances in biological neurons . Trends Neurosci., 16 (1993), 389–394.CrossRefGoogle ScholarPubMed
Singer, W.. A versatile code for the definition of relations? . Neuron, 24 (1999), 49–65.CrossRefGoogle Scholar
Stark, L.. Environmental clamping of biological systems: Pupil servomechanism . J. Opt. Soc. Amer., 52 (1962), 925–930.CrossRefGoogle ScholarPubMed
P. A. Tass. Phase Resetting in Medicine and Biology: Stochastic modelling and data analysis. Springer Series in Synergetics, New York, 1999.
Yarom, Y.. Rhythmogenesis in a hybrid system interconnecting an olivary neuron to an analog network of coupled oscillators . Neurosci., 44 (1991), 263–275.CrossRefGoogle Scholar