A mathematical model of the amphibian muscarinic channel

dc.contributor.advisorClark, John W., Jr.en_US
dc.creatorShumaker, John Michaelen_US
dc.date.accessioned2009-06-04T00:01:56Zen_US
dc.date.available2009-06-04T00:01:56Zen_US
dc.date.issued1989en_US
dc.description.abstractA modification of the Osterrieder-Noma-Trautwein model of the ACh-sensitive K$\sp+$ I$\sb{K,ACh}$ current in the rabbit SA node is used to study the behavior of the ACh-sensitive K$\sp+$ channels in bullfrog atrial and sinus venosus myocytes. The parameters of the modified description of the muscarinic current are chosen to fit available data from the literature on bullfrog atrial myocytes. This model is incorporated into larger mathematical models of bullfrog myocytes that are based on quantitative whole-cell voltage clamp data and simulations are run to discern the effects of this muscarinic channel on the electrical behavior of the cell membrane. Simulations of the electrical behavior of the sinus venosus myocyte predict that the effects of ACh on the pacemaker action potential are dependent on both the phase of ACh delivery and rate of removal of the ACh. Model-generated phase response curves (PRC's), inhibition curves (IC's) and entrainment curves are produced. (Abstract shortened with permission of author.)en_US
dc.format.extent130 p.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.callnoTHESIS E.E. 1989 SHUMAKERen_US
dc.identifier.citationShumaker, John Michael. "A mathematical model of the amphibian muscarinic channel." (1989) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/13395">https://hdl.handle.net/1911/13395</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/13395en_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.subjectBiophysicsen_US
dc.subjectElectronicsen_US
dc.subjectElectrical engineeringen_US
dc.subjectBiomedical engineeringen_US
dc.titleA mathematical model of the amphibian muscarinic channelen_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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