McKenna, Joseph P

VCU Scholars Compass

Virginia Commonwealth UniversityVCU Scholars CompassBiology and Medicine Through MathematicsConference 2016May 21st, 5:30 PM - 8:00 PMReducing a Conductance-Based Neuron Model toNormal FormJoseph P. McKennaFlorida State University, jmckenna@fsu.eduFollow this and additional works at: http://scholarscompass.vcu.edu/bammThis Event is brought to you for free and open access by the Dept. of Mathematics and Applied Mathematics at VCU Scholars Compass. It has beenaccepted for inclusion in Biology and Medicine Through Mathematics Conference by an authorized administrator of VCU Scholars Compass. Formore information, please contact libcompass@vcu.edu.http://scholarscompass.vcu.edu/bamm/2016/May21/43Reducing a Conductance-Based Neuron Model to NormalFormConductance-based neuron models are a class of ordinary differentialequation systems derived from biophysical principles to describe theelectrical dynamics of single neurons. We use previously developedtechniques to reduce a conductance-based neuron model to normalform, a minimal form related by diffeomorphism to the original form,at codimension-2 bifurcation points. We also present the unfolding ofthe normal form model which makes apparent its dynamic repertoire.Joseph MckennaDepartment of MathematicsFlorida State Universityjmckenna@math.fsu.edu.

Reducing a Conductance-Based Neuron Model to Normal Form

http://scholarscompass.vcu.edu/cgi/viewcontent.cgi?article=1079&context=bamm

Reducing a Conductance-Based Neuron Model to Normal Form

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