Degeneracy, Neuromodulation, and Phase Response Properties in Model Pyloric Neurons

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dc.contributor.advisor Marder, Eve
dc.contributor.author Guzman, Noah
dc.date.accessioned 2019-05-24T18:08:46Z
dc.date.available 2019-05-24T18:08:46Z
dc.date.issued 2019
dc.identifier.uri https://hdl.handle.net/10192/36774
dc.description.abstract Degeneracy is a ubiquitous feature of many biological systems, especially neural circuits. Degenerate systems exhibit multifunctionality and robustness in the face of environmental perturbations. Currently no rigorous measures for quantifying the degeneracy of dynamical systems exist. Here, I introduce a measure of degeneracy for biophysical neuron models based on the theory of time delay embeddings that is also applicable in experimental settings. Additionally, I construct a new two-compartment model of the conditional burster AB of the crustacean pyloric network. This model was initially conceived to rememdy shortcomings in single compartment models of AB based on the work of Liu et al. (1998); these models fail to exhibit the transition from a tonic spiking state to a bursting state in the presence of a neuromodulatory current, I_MI. I describe these deficiencies in this thesis. In order to compare the new two-compartment models to the single compartment ones, my colleagues and I began to analyze their respective phase response properties. Here, I report the emergence of fine structural features in the phase response curves of these models. These fine structures can in part be accounted for by the dynamical phenomena of spike addition and spike deletion during a burst. Moreover, I report the discovery of multi-stability in the single compartment bursting models.
dc.format.mimetype application/pdf
dc.language English
dc.language.iso eng
dc.publisher Brandeis University
dc.relation.ispartofseries Brandeis University Theses and Dissertations
dc.rights Copyright by Noah Guzman 2019
dc.subject theoretical neuroscience
dc.subject stomatogastric
dc.subject STG
dc.subject pyloric
dc.subject computational neuroscience
dc.subject crustacean
dc.subject biophysics
dc.subject dynamical systems
dc.subject degeneracy
dc.subject phase response curve
dc.subject neuromodulation
dc.subject bursting
dc.subject multi-compartment model
dc.subject conductance based model
dc.title Degeneracy, Neuromodulation, and Phase Response Properties in Model Pyloric Neurons
dc.type Thesis
dc.contributor.department Interdepartmental Program in Neuroscience
dc.degree.name MS
dc.degree.level Masters
dc.degree.discipline Neuroscience
dc.degree.grantor Brandeis University, Graduate School of Arts and Sciences


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