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Titlebook: Differential Equations for Studies in Computational Electrophysiology; Karoline Horgmo Jæger,Aslak Tveito Book‘‘‘‘‘‘‘‘ 2023 The Editor(s)

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https://doi.org/10.1007/978-3-658-42954-6d and provides valuable insights into the conduction of electrical signals in cardiac tissue. However, the model has one glaring limitation: The cardiomyocyte is nowhere to be found in the model, since the extracellular space, the intracellular space and the cell membrane are all assumed to be every
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https://doi.org/10.1007/978-3-658-42954-6ential is similar across the whole cell membrane, and the model represents the action potential as a function of time alone. No spatial variable is involved in the pure membrane models, so a length scale of these models does not make sense.
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A System of Ordinary Differential Equationsependently, by Nagumo et. al. [2] in 1962. The model is a system of ordinary differential equations with two unknowns, and is commonly used as a simple model for the action potentials of excitable pacemaker cells.
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Membrane Modelswere simple, theoretical differential equations without units. From this point forwards, we will look at how to apply the methods introduced in the previous chapters to differential equations that are set up to model aspects of electrophysiology.
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Spatial Models of Cardiac Electrophysiologybsolutely essential in order to understand the electrophysiology of excitable cells. However, some essential properties can only be studied in spatially resolved models; i.e., in models representing spatial variation across a single cell or a collection of cells.
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