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Relevant bibliographies by topics / Action potentials (Electrophysiology) – Mathematics / Dissertations / Theses

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Dissertations / Theses on the topic 'Action potentials (Electrophysiology) – Mathematics'

Author: Grafiati

Published: 4 June 2021

Last updated: 17 February 2022

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1

Skoczelas, Brenda M. "A mathematical model for calculating the effect of toroidal geometry on the measured magnetic field." Muncie, Ind. : Ball State University, 2009. http://cardinalscholar.bsu.edu/714.

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2

Besse, Ian Matthew. "Modeling caveolar sodium current contributions to cardiac electrophysiology and arrhythmogenesis." Diss., University of Iowa, 2010. https://ir.uiowa.edu/etd/463.

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Proper heart function results from the periodic execution of a series of coordinated interdependent mechanical, chemical, and electrical processes within the cardiac tissue. Central to these processes is the action potential - the electrochemical event that initiates contraction of the individual cardiac myocytes. Many models of the cardiac action potential exist with varying levels of complexity, but none account for the electrophysiological role played by caveolae - small invaginations of the cardiac cell plasma membrane. Recent electrophysiological studies regarding these microdomains revea

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3

Slominski, Eric Christopher. "A Prototype Device for Isolating and Wirelessly Transmitting Neural Action Potentials." Thesis, Virginia Tech, 2003. http://hdl.handle.net/10919/9652.

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An electrophysiology research laboratory at the Wake Forest University School of Medicine in the Physiology/Pharmacology Department currently carries out memory research by recording neural signals from laboratory animals with a wire tethering the animal to nearby signal conditioning and recording equipment. A wireless neural signal recording system is desirable because it removes the cumbersome wires from the animal, allowing it to roam more freely. The result is an animal that is more able to behave as it would in its natural habitat, thus opening the possibility of testing procedures that a

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4

Oliver, Michael W. "Electrophysiological properties of the hippocampal formation in rat : an in vitro study." Thesis, University of British Columbia, 1986. http://hdl.handle.net/2429/27503.

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The electrophysiological properties of dentate granule cells and hippocampal pyramidal neurons were examined with extracellular and intracellular recording techniques in the hippocampal slice. Intracellular analysis revealed that there may exist two populations of granule cells distinguishable by the presence or absence of non-linear current-voltage (I-V) membrane properties (anomalous rectification, AR). The granule cells exhibiting AR also maintained greater resting membrane potentials and action potential (AP) amplitude values. The membrane input resistance (Rn) and time constant (Tc) meas

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5

劉文慶 and Wenqing Liu. "Fast tracking of evoked potentials variations by wavelet analysis." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2002. http://hub.hku.hk/bib/B31243411.

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6

Turner, Ray William. "Action potential discharge in somata and dendrites of CA1 pyramidal neurons of mammalian hippocampus : an electrophysiological analysis." Thesis, University of British Columbia, 1985. http://hdl.handle.net/2429/25989.

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The electrophysiological properties of somatic and dendritic membranes of CA1 pyramidal neurons were investigated using the rat in vitro hippocampal slice preparation. A comprehensive analysis of extracellular field potentials, current-source density (CSD) and intracellular activity has served to identify the site of origin of action potential (AP) discharge in CA1 pyramidal neurons. 1) Action potential discharge of CA1 pyramidal cells was evoked by suprathreshold stimulation of the alveus (antidromic) or afferent synaptic inputs in stratum oriens (SO) or stratum radiatum (SR). Laminar profil

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7

Liu, Wenqing. "Fast tracking of evoked potentials variations by wavelet analysis /." Hong Kong : University of Hong Kong, 2002. http://sunzi.lib.hku.hk/hkuto/record.jsp?B25205523.

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8

Duckett, Graham. "A new approach to modelling the dynamics of cardiac action potentials." Thesis, University of Warwick, 1998. http://wrap.warwick.ac.uk/4272/.

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This thesis is concerned with the development of a new approach to the modelling of cardiac action potentials. Electrophysiological models of the heart have become very accurate in recent years giving rise to extremely complicated systems of differential equations. Although describing the behaviour of cardiac cells well, the models are computationally demanding for numerical simulations and are very difficult to analyse from a mathematical (dynamical-systems) viewpoint. Simplified mathematical models that capture the underlying dynamics to a certain extent are therefore frequently used. Howeve

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9

Rioux, Myriam. "Numerical Computations of Action Potentials for the Heart-torso Coupling Problem." Thèse, Université d'Ottawa / University of Ottawa, 2012. http://hdl.handle.net/10393/20533.

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The work developed in this thesis focusses on the electrical activity of the heart, from the modeling of the action potential originating from cardiac cells and propagating through the heart, as well as its electrical manifestation at the body surface. The study is divided in two main parts: modeling the action potential, and numerical simulations. For modeling the action potential a dimensional and asymptotic analysis is done. The key advance in this part of the work is that this analysis gives the steps to reliably control the action potential. It allows predicting the time/space scales an

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10

Madhavan, Radhika. "Role of spontaneous bursts in functional plasticity and spatiotemporal dynamics of dissociated cortical cultures." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2007. http://hdl.handle.net/1853/24756.

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Thesis (Ph.D.)--Biomedical Engineering, Georgia Institute of Technology, 2007.<br>Committee Chair: Potter, Steve; Committee Member: Butera, Robert; Committee Member: DeWeerth, Stephen; Committee Member: Schumacher, Eric; Committee Member: Wenner, Pete.

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11

Gasper, Rebecca Elizabeth. "Action potentials in the peripheral auditory nervous system : a novel PDE distribution model." Diss., University of Iowa, 2014. https://ir.uiowa.edu/etd/1321.

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Auditory physiology is nearly unique in the human body because of its small-diameter neurons. When considering a single node on one neuron, the number of channels is very small, so ion fluxes exhibit randomness. Hodgkin and Huxley, in 1952, set forth a system of Ordinary Differential Equations (ODEs) to track the flow of ions in a squid motor neuron, based on a circuit analogy for electric current. This formalism for modeling is still in use today and is useful because coefficients can be directly measured. To measure auditory properties of Firing Efficiency (FE) and Post Stimulus Time (PST),

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12

Brooks, Jeremy. "A Singular Perturbation Approach to the Fitzhugh-Nagumo PDE for Modeling Cardiac Action Potentials." Digital Commons @ East Tennessee State University, 2011. https://dc.etsu.edu/honors/152.

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The study of cardiac action potentials has many medical applications. Dr. Dennis Noble first used mathematical models to study cardiac action potentials in the 1960s. We begin our study of cardiac action potentials with one form of the Fitzhugh-Nagumo partial differential equation. We use the non-classical method to produce a closed form solution for the decoupled Fitzhugh Nagumo equation. Using voltage recording data of action potentials in a cardiac myocyte and in purkinje fibers, we estimate parameter values for the closed form solution with standard linear and non-linear regression methods

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13

Bakkum, Douglas James. "Dynamics of embodied dissociated cortical cultures for the control of hybrid biological robots." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2007. http://hdl.handle.net/1853/22596.

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Thesis (Ph. D.)--Mechanical Engineering, Georgia Institute of Technology, 2008.<br>Committee Chair: Steve M. Potter; Committee Member: Eric Schumacher; Committee Member: Robert J. Butera; Committee Member: Stephan P. DeWeerth; Committee Member: Thomas D. DeMarse.

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14

Lin, Xueming. "ERP Analysis Using Matched Filtering and Wavelet Transform." PDXScholar, 1994. https://pdxscholar.library.pdx.edu/open_access_etds/5065.

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Event related potentials (ERP's) carry very important information that relates to the performance of the brain functions of the human being. Further studies have identified that one component, in particular, P 300, is affected by the memory process. Matched filter is used to improved the SNR of signal ERP' s. We use the output of the matched filter to distinguish the difference of the waveforms between normal subjects and memory-impaired subjects. In our study, we found that the peak values of the matched filtering output were different between normal subjects and memoryimpaired subjects. Also

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15

Qi, Hong. "Pattern Recognition and ERP Waveform Analysis Using Wavelet Transform." PDXScholar, 1993. https://pdxscholar.library.pdx.edu/open_access_etds/4623.

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Wavelet transform provides an alternative to the classical Short-Time Fourier Transform (STFT). In contrast to the STFT, which uses a single analysis window, the Wavelet Transform uses shorter windows at higher frequencies and longer windows at lower frequencies. For some particular wavelet functions, the local maxima of the wavelet transform correspond to the sharp variation points of the signal. As an application, wavelet transform is introduced to the character recognition. Local maximum of wavelet transform is used as a local feature to describe character boundary. The wavelet method perfo

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16

"Applications of clustering analysis to signal processing problems." 1999. http://library.cuhk.edu.hk/record=b5889911.

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Wing-Keung Sim.<br>Thesis (M.Phil.)--Chinese University of Hong Kong, 1999.<br>Includes bibliographical references (leaves 109-114).<br>Abstracts in English and Chinese.<br>Abstract --- p.2<br>摘要 --- p.3<br>Acknowledgements --- p.4<br>Contents --- p.5<br>List of Figures --- p.8<br>List of Tables --- p.9<br>Introductions --- p.10<br>Chapter 1.1 --- Motivation & Aims --- p.10<br>Chapter 1.2 --- Contributions --- p.11<br>Chapter 1.3 --- Structure of Thesis --- p.11<br>Electrophysiological Spike Discrimination --- p.13<br>Chapter 2.1 --- Introduction --- p.13<br>Chapter 2.2 --- Cellula

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17

"Extracellular potentials from action potentials of anatomically realistic neurons and neuronal populations." Thesis, 2005. http://hdl.handle.net/10413/1664.

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Extracellular potentials due to firing of action potentials are computed around cortical neurons and populations of cortical neurons. These extracellular potentials are calculated as a sum of contributions from ionic currents passing through the cell membrane at various locations using Maxwell's equations in the quasi-static limit. These transmembrane currents are found from simulations of anatomically reconstructed cortical neurons implemented as multi-compartmental models in the simulation tool NEURON. Extracellular signatures of action potentials of single neurons are calculated both in the

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18

"Understanding Cortical Neuron Dynamics through Simulation-Based Applications of Machine Learning." Doctoral diss., 2020. http://hdl.handle.net/2286/R.I.63074.

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abstract: It is increasingly common to see machine learning techniques applied in conjunction with computational modeling for data-driven research in neuroscience. Such applications include using machine learning for model development, particularly for optimization of parameters based on electrophysiological constraints. Alternatively, machine learning can be used to validate and enhance techniques for experimental data analysis or to analyze model simulation data in large-scale modeling studies, which is the approach I apply here. I use simulations of biophysically-realistic cortical neuron m

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