Return Map of a Periodically Driven Neuron

Thesis advisor: Renato Mirollo === A typical neuron receives input from more than 10,000 other neurons. These inputs each get processed differently, depending on the neuron's morphology, chemistry, etc. The neuron may fire, in turn stimulating other nerve cells. The structure of a nerve cell de...

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Main Author: Pell, Diana
Format: Others
Language:English
Published: Boston College 2011
Subjects:
Online Access:http://hdl.handle.net/2345/2009
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spelling ndltd-BOSTON-oai-dlib.bc.edu-bc-ir_1012182019-05-10T07:33:31Z Return Map of a Periodically Driven Neuron Pell, Diana Thesis advisor: Renato Mirollo Text thesis 2011 Boston College English electronic application/pdf A typical neuron receives input from more than 10,000 other neurons. These inputs each get processed differently, depending on the neuron's morphology, chemistry, etc. The neuron may fire, in turn stimulating other nerve cells. The structure of a nerve cell determines the rules that govern the system but not the neuronal response. Also, the type of input affects the firing decision. Hence, a neuron can be viewed as a dynamical system and may be studied as such. The Hodgkin-Huxley model describes neuronal dynamics but this model is very complex. Here, I will study some simpler models in an attempt to determine what makes a neuron fire. In particular, I will ask: What is the effect of "rhythmic" impulses on a neuron? Neurons Copyright is held by the author, with all rights reserved, unless otherwise noted. Thesis (MA) — Boston College, 2011. Submitted to: Boston College. Graduate School of Arts and Sciences. Discipline: Mathematics. 258891 http://hdl.handle.net/2345/2009
collection NDLTD
language English
format Others
sources NDLTD
topic Neurons
spellingShingle Neurons
Pell, Diana
Return Map of a Periodically Driven Neuron
description Thesis advisor: Renato Mirollo === A typical neuron receives input from more than 10,000 other neurons. These inputs each get processed differently, depending on the neuron's morphology, chemistry, etc. The neuron may fire, in turn stimulating other nerve cells. The structure of a nerve cell determines the rules that govern the system but not the neuronal response. Also, the type of input affects the firing decision. Hence, a neuron can be viewed as a dynamical system and may be studied as such. The Hodgkin-Huxley model describes neuronal dynamics but this model is very complex. Here, I will study some simpler models in an attempt to determine what makes a neuron fire. In particular, I will ask: What is the effect of "rhythmic" impulses on a neuron? === Thesis (MA) — Boston College, 2011. === Submitted to: Boston College. Graduate School of Arts and Sciences. === Discipline: Mathematics.
author Pell, Diana
author_facet Pell, Diana
author_sort Pell, Diana
title Return Map of a Periodically Driven Neuron
title_short Return Map of a Periodically Driven Neuron
title_full Return Map of a Periodically Driven Neuron
title_fullStr Return Map of a Periodically Driven Neuron
title_full_unstemmed Return Map of a Periodically Driven Neuron
title_sort return map of a periodically driven neuron
publisher Boston College
publishDate 2011
url http://hdl.handle.net/2345/2009
work_keys_str_mv AT pelldiana returnmapofaperiodicallydrivenneuron
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