Efficient and Accurate Simulation of Integrate-and-Fire Neuronal Networks in the Hippocampus

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dc.contributor.authorKellems, Anthony Richard
dc.date.accessioned2018-06-18T17:58:15Z
dc.date.available2018-06-18T17:58:15Z
dc.date.issued2007-12
dc.date.noteDecember 2007
dc.descriptionThis work was also published as a Rice University thesis/dissertation: http://hdl.handle.net/1911/20512
dc.description.abstractThis thesis evaluates a method of computing highly accurate solutions for network simulations of integrate-and-fire (IAF) neurons. Simulations are typically evolved using time-stepping, but since the IAF model is composed of linear first-order ODEs with hard thresholds, explicit solutions in terms of integrals of exponentials exist and can be approximated using quadrature. The technique presented here utilizes Clenshaw-Curtis quadrature to approximate these integrals to high accuracy. It uses the secant method to more precisely identify spike times, thus yielding more accurate solutions than do time-stepping methods. Additionally, modeling synaptic input with delta functions permits the quadrature method to be practical for simulating largescale networks. I determine general conditions under which the quadrature method is faster and more accurate than time-stepping methods. In order to make these methods accessible to other researchers, I introduce and develop software designed for simulating networks of IAF hippocampal cells.
dc.format.extent68 pp
dc.identifier.citationKellems, Anthony Richard. "Efficient and Accurate Simulation of Integrate-and-Fire Neuronal Networks in the Hippocampus." (2007) <a href="https://hdl.handle.net/1911/102082">https://hdl.handle.net/1911/102082</a>.
dc.identifier.digitalTR07-19
dc.identifier.urihttps://hdl.handle.net/1911/102082
dc.language.isoeng
dc.titleEfficient and Accurate Simulation of Integrate-and-Fire Neuronal Networks in the Hippocampus
dc.typeTechnical report
dc.type.dcmiText
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