Implementation and analysis of neuromodulatory mechanisms in a mathematical model of neuron R15 in Aplysia

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dc.contributor.advisorClark, John W., Jr.en_US
dc.creatorButera, Robert John, Jren_US
dc.date.accessioned2009-06-04T00:22:19Zen_US
dc.date.available2009-06-04T00:22:19Zen_US
dc.date.issued1994en_US
dc.description.abstractAn existing model of the bursting neuron R15 in Aplysia has been modified to incorporate the effects of the neuromodulatory agents serotonin and dopamine upon the conductances of the subthreshold currents $I\sb{R}$ and $I\sb{SI}$. The model duplicates the various forms of behavior exhibited by R15 in vitro in the presence of serotonin or dopamine, implying that the modeled mechanisms are sufficient to evoke the varied behavioral patterns exhibited by R15. The response of the model to extrinsic stimuli is examined. Serotonin enhances the cell's response to current stimuli of either polarity, while dopamine reduces the cell's response. The model demonstrates bistable behavior, indicating that the model's current state of behavior is dependent upon past behavior and/or stimuli. A nullcline and bifurcation analysis upon reduced models explains the mechanism of bursting and the effects of serotonin and dopamine through the existence of saddle-node and Hopf bifurcations.en_US
dc.format.extent129 p.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.callnoTHESIS E.E. 1994 BUTERAen_US
dc.identifier.citationButera, Robert John, Jr. "Implementation and analysis of neuromodulatory mechanisms in a mathematical model of neuron R15 in Aplysia." (1994) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/13821">https://hdl.handle.net/1911/13821</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/13821en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectNeurosciencesen_US
dc.subjectPhysiologyen_US
dc.subjectMathematicsen_US
dc.subjectBiologyen_US
dc.titleImplementation and analysis of neuromodulatory mechanisms in a mathematical model of neuron R15 in Aplysiaen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentElectrical Engineeringen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Scienceen_US
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