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Ion Channel Dynamics and Ion Transport Across Membranes

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Chemical Kinetics, Stochastic Processes, and Irreversible Thermodynamics
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Abstract

In previous chapters we have employed the formalism and techniques introduced in the book to study different biological systems by conceptualizing them as chemical reactions. In all cases this conceptualization was more or less evident. However, the formalism is more versatile as it can be applied to systems that apparently have nothing to do with chemical reactions. In the present chapter we tackle a few of those systems, all of which are related to diffusion. Not only we exemplify in this chapter how to employ the formalism here introduced to study systems with no obvious connection with chemical reactions, but we also derive some classical results regarding ion transport across membranes. As in previous chapters we start with a very simple example, and gradually make it more complex to end with a more realistic model.

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References

  • Berg H (1993) Random walks in biology. Princeton paperbacks, Princeton University Press, Princeton

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Santillán, M. (2014). Ion Channel Dynamics and Ion Transport Across Membranes. In: Chemical Kinetics, Stochastic Processes, and Irreversible Thermodynamics. Lecture Notes on Mathematical Modelling in the Life Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-06689-9_9

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