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Mathematical Modelling of Cation Transport and Regulation in Yeast

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Yeast Membrane Transport

Part of the book series: Advances in Experimental Medicine and Biology ((AEMB,volume 892))

Abstract

Mathematical modelling of ion transport is a strategy to understand the complex interplay between various ionic species and their transporters. Such models should provide new insights and suggest new interesting experiments. Two essential variables in models for ion transport and control are the membrane potential and the intracellular pH, which generates an additional layer of complexity absent from many other models of biochemical reaction pathways. The aim of this text is to introduce the reader to the basic principles and assumptions of modelling in this field. A simplified model of potassium transport will be used as an example and will be derived in a step by step manner. This forms the basis for understanding the advantages and limitations of more complex models. These are briefly reviewed at the end of this chapter.

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Notes

  1. 1.

    Mathematically, the buffering capacity is defined as \(\beta = \frac{d\left [H^{+}\right ]} {d(pH)}\).

  2. 2.

    This shape can be motivated by a simple two state model of voltage dependent switching, see e.g. for a derivation (Weiss 1996; Keener and Sneyd 2004).

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Acknowledgements

Maik Kschischo and Matthias Kahm were supported by BMBF grant 0315786C (SysMo2/Translucent 2). Both authors thank the members of the TRANSLUCENT consortium for helpful discussions.

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Authors and Affiliations

  1. University of Applied Sciences Koblenz, RheinAhrCampus, Joseph-Rovan-Allee 2, 53424, Remagen, Germany

    Matthiasé Kahm

  2. Department of Mathematics and Technology, University of Applied Sciences Koblenz, RheinAhrCampus, Remagen, Germany

    Maik Kschischo

Authors
  1. Matthiasé Kahm
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  2. Maik Kschischo
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Correspondence to Maik Kschischo .

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Editors and Affiliations

  1. Dept. of Microbiology, University of Córdoba, Córdoba, Spain

    José Ramos

  2. Department of Membrane Transport, Institute of Physiology, The Czech Academy of Sciences, Prague, Czech Republic

    Hana Sychrová

  3. Department of Mathematics and Technology, University of Applied Sciences, Koblenz, Remagen, Germany

    Maik Kschischo

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Kahm, M., Kschischo, M. (2016). Mathematical Modelling of Cation Transport and Regulation in Yeast. In: Ramos, J., Sychrová, H., Kschischo, M. (eds) Yeast Membrane Transport. Advances in Experimental Medicine and Biology, vol 892. Springer, Cham. https://doi.org/10.1007/978-3-319-25304-6_12

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