title: Mathematical Modelling of Cation Transport and Regulation in Yeast.
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.
authors.affiliation: University of Applied Sciences Koblenz, RheinAhrCampus, Joseph-Rovan-Allee 2, 53424, Remagen, Germany.
authors.forename: Matthiasé
authors.initials: M
authors.lastname: Kahm
authors.affiliation: Department of Mathematics and Technology, University of Applied Sciences Koblenz, RheinAhrCampus, Remagen, Germany. kschischo@rheinahrcampus.de.
authors.forename: Maik
authors.initials: M
authors.lastname: Kschischo
mesh_terms: D002414:Cations, Monovalent; D003198:Computer Simulation; D015870:Gene Expression; D006863:Hydrogen-Ion Concentration; D017136:Ion Transport; D008564:Membrane Potentials / Q000502:physiology; D026901:Membrane Transport Proteins / Q000235:genetics / Q000378:metabolism*; D008954:Models, Biological; D011188:Potassium / Q000378:metabolism*; D012441:Saccharomyces cerevisiae / Q000235:genetics / Q000378:metabolism*; D029701:Saccharomyces cerevisiae Proteins / Q000235:genetics / Q000378:metabolism*
chemical_list: D002414:Cations, Monovalent; D026901:Membrane Transport Proteins; D029701:Saccharomyces cerevisiae Proteins; D011188:Potassium
keywords: Biological thermodynamics; Ion homeostasis; Mathematical modelling; Membrane potential; Systems biology