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

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燦爛

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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拖債

GRE

Operator Splittinglue the pieces together to yield a solution of the new problem. This approach is also very useful in software development; well-tested pieces of software can be glued together in order to obtain solutions to a wider class of problems. Operator splitting is a technique that illustrates this principle

helper-T-cells

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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The Cable Equatione will revisit the cable equation and go through a simple derivation of the model. In addition, we will consider the numerical solution of the cable equation for a neuronal axon with membrane dynamics modeled by the Hodgkin-Huxley model.

把…比做

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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Re-Introducing the Cell: The Extracellular-Membrane-Intracellular (EMI) Modeld 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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