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Fluctuation-driven firing in spatially extended neuron models
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Gowers, Robert (2019) Fluctuation-driven firing in spatially extended neuron models. PhD thesis, University of Warwick.
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Official URL: http://webcat.warwick.ac.uk/record=b3491734~S15
Abstract
This thesis explores how spatially extended neuron models integrate synaptic drive and how morphology affects the firing-rate response. Particular emphasis is placed on the low-rate limit that represents the activity of most cortical neurons. Chapter 1 first introduces the basics of neuronal electrophysiology, highlighting how synaptic drive and active currents affect the membrane properties of spatially extended neurons. The second half of the chapter gives an overview of neuronal firing and how a level-crossing approach can be used to approximate the low-rate limit of integrate-and-fire models. With the neuron’s dynamics and an approach to approximating the firing rate explained, Chapter 2 starts by examining the calculation of temporal and spatial correlators in the simpler models to give some intuition to how the synaptic drive is integrated. We then proceed to calculate the steady-state upcrossing rate for progressively more complex neuronal morphologies. Next, Chapter 3 investigates how neuronal morphology influences the patterning of the time-varying firing-rate response to sinusoidally modulated synaptic drive. Three different forms of modulation are applied to each model and focus is placed on finite frequency phase zeros of the firing-rate response as this indicates synchrony between the input modulation and the output firing-rate response. Finally in Chapters 4 and 5, we extend the previous analyses for both steady-state and sinusoidally modulated drive to neurons with membranes made quasi-active via linearisation of an active current such as Ih.
Item Type: | Thesis (PhD) | ||||
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Subjects: | Q Science > QP Physiology | ||||
Library of Congress Subject Headings (LCSH): | Neurons -- Mathematical models, Synapses, Dendrites, Axons | ||||
Official Date: | November 2019 | ||||
Dates: |
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Institution: | University of Warwick | ||||
Theses Department: | Mathematics for Real-World Systems Centre for Doctoral Training | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Supervisor(s)/Advisor: | Richardson, Magnus J. E. ; Timofeeva, Yulia | ||||
Format of File: | |||||
Extent: | xi, 214 leaves ; illustrations (chiefly colour) | ||||
Language: | eng |
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