Publication List for Colleen C. Mitchell


Refereed Articles


Wolf, R., Mitchell, C., Christensen, M., Mohler, P., and Hund, T.  De fining new insight into atypical arrhythmia: a computational model of ankyrin-B-syndrome. AJP Heart. 299: H1505-H1514, 2010.  Download pdf file.

Mitchell, C. and McMurray, B.  On Leveraged Learning in Lexical Acquisition and Its Relationship to Acceleration. Cognitive Science 33: 1503-1523, 2009.  Download pdf file.

Mitchell, C. and McMurray, B.  A Stochastic Model for the Vocabulary Explosion. Cognitive Science Proceedings pp. 1919-1926, 2008.  Download pdf file.

Mitchell, C. and Reed, M. Precision of Neural Timing in Highly Convergent Systems. SIAM J. Appl. Math. 68:720-737, 2007.  Download pdf file.

Mitchell, C. Precision of Neural Timing: The Small Epsilon Limit. Journal of Mathematical Analysis and Applications 309:567-582, 2005.  Download pdf file.

Mitchell, C. and Schaff er, D. A Two-Current Model for the Dynamics of Cardiac Membrane. Bulletin of Mathematical Biology 65:767-793, 2003.  Download pdf file.
 
Mitchell, C. Neural Mechanisms to Improve Timing. Proceedings of the Annual Computational Neuroscience Meeting. Neurocomputing 52-54:833-836, 2003.  Download pdf file.

Tolkacheva, E., Schaeff er, D., Gauthier, D. and Mitchell, C. Analysis of Fenton Karma Model through Approximation with a One Dimensional Map. Chaos 12: 1034-1042, 2002.  Download pdf file.

Reed, M., Blum J. and Mitchell, C. Precision of Neural Timing: E ects of Convergence and Time-Windowing. Journal of Computational Neuroscience 13: 35-47, 2002.  Download pdf file.

Submitted Manuscripts

Snyder J, Koval O, Wolf R, Glynn P, Cardona N, Dun W, Wright P, Qian L, Mitchell C , Boyden P, Binkley P, Anderson M, Mohler P and Hund T.  CaMKII-based regulation of voltage-gated Na+ channel in disease. Submitted.  Circulation.  Manuscript not yet available online.

Besse, I., Mitchell, C., Hund, T. and Shibata, E. A computational investication of caveolae as a source of persistent sodium current. Revised and Resubmitted.  Frontiers in Computational Physiology and Medicine.  Download pdf of manuscript.

Mitchell, C. and Reed, M. Emergent Time Windows in Nonlinear Neural Models. Revised and Resubmitted. Journal of Computational Neuroscience. Download pdf of manuscript.

Projects in Progress

Wolf R, Mitchell C , Mohler P, and Hund T. Molecular pathway for atrial arrhythmias in ankyrin-B syndrome: Insights from a computational model. Undergoing Revisions. We plan to submit to early Fall 2011.

McMurray, B. and Mitchell, C. The mathematical underpinnings of acceleration in early word learning: The mathematics of parallel learning and frequency. Undergoing Revisions.  We plan to submit to early Fall 2011. 


Mitchell, C. The Role of the h-current in Precise Onset Timers of the Cochlear Nucleus. In Draft.

Besse, I. (PhD Advisee), Mitchell, C., and Shibata, E (UI Biophysics and Physiology).  A Reduced Model For Caveolar Current in Ventricular Myocyte. In Draft.


Mitchell, C., and McMurray, B. (UI Psychology). Mathematical Models of the Vocabulary Explosion in Young Children. In Progress.

Mitchell, C., Besse, I. (PhD Advisee), Shibata, E (UI Biophysics and Physiology), Hund, T (Formerly UI Internal Medicine). A Probabilistic Model for Cardiac Caveolar Current. In Progress.

Gasper, R. (PhD Advisee), Mitchell C., Abbas, P. (UI Audiology). A Stochastic Model for Accomodation in Auditory Nerve. In Progress.

McMurray, B. (UI Psychology) and Mitchell, C. Understanding Word Diffculty using Models of Language Acquisition. In Progress.

Mitchell, C. Stochastic Timing of Spikes in Auditory Processing: The Time Window Model with Inhibition. In Progress.

PhD Dissertation

Mitchell, C. Mathematical Properties of Time Windowing in Neural Systems Duke University Thesis, 2003.  Thesis Advisor: Michael Reed.

Last Updated 9/7/2011

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