Hodgkin-Huxley Model
Independent Research Project
Introduction
The Hodgkin-Huxley Model (HH Model) is a system of differential equations created in 1952 that models the progression of an action potential in a neuron. An action potential is when an explosion of depolarizing current moves across a cell and occurs in neurons in order to relay important information throughout the body. In this paper, six numerical methods are applied to a simplified version of the HH Model to understand how accurate the methods are in approximating the exact solution of the model.
My Role
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Gather background information about:
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The history and variables involved in the HH Model
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Biological topics, such as action potentials and squid axons
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Numerical methods, such as the syntax for the Matlab function ODE45
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Program each numerical method to approximate the solution for the simplified HH Model
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Calculate the infinity norm error, average error, and average order for each method
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Produce research paper through writing and figure implementation
Technologies and Skills
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Matlab
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Understanding code from external sources
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Programming differential equations using arrays
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Utilizing multiple for loops simultaneously
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Extracting data from various arrays for repeated use within functions
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Mathematical Knowledge In:
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Numerical Analysis
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Ordinary Differential Equations
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Linear Algebra
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Advanced Algebra
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Calculus
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Microsoft PowerPoint
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Microsoft Word ( + importing LaTeX syntax)
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Google Docs
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Google Drawing
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Google Drive
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Google Slides
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Zoom (remote communication)
Presentation
Click any file button to be redirected to the presentation of that file type.