Potassium Starvation in Yeast: Mechanisms of Homeostasis Revealed by Mathematical Modeling

The intrinsic ability of cells to adapt to a wide range of environmental conditions is a fundamental process required for survival. Potassium is the most abundant cation in living cells and is required for essential cellular processes, including the regulation of cell volume, pH and protein synthesis. Yeast cells can grow from low micromolar to molar potassium concentrations and utilize sophisticated control mechanisms to keep the internal potassium concentration in a viable range. We developed a mathematical model for Saccharomyces cerevisiae to explore the complex interplay between biophysical forces and molecular regulation facilitating potassium homeostasis. By using a novel inference method (“the reverse tracking algorithm”) we predicted and then verified experimentally that the main regulators under conditions of potassium starvation are proton fluxes responding to changes of potassium concentrations. In contrast to the prevailing view, we show that regulation of the main potassium transport systems (Trk1,2 and Nha1) in the plasma membrane is not sufficient to achieve homeostasis

Cooperativity and flexibility in enzyme evolution

Enzymes are flexible catalysts, and there has been substantial discussion about the extent to which this flexibility contributes to their catalytic efficiency. What has been significantly less discussed is the extent to which this flexibility contributes to their evolvability. Despite this, recent years have seen an increasing number of both experimental and computational studies that demonstrate that cooperativity and flexibility play significant roles in enzyme innovation. This review covers key developments in the field that emphasize the importance of enzyme dynamics not just to the evolution of new enzyme function(s), but also as a property that can be harnessed in the design of new artificial enzymes.The European Research Council has provided financial support under the European Community’s Seventh Framework Program (FP7/2007-2013)/ERC Grant Agreement No. 306474. This work was also funded by the Feder Funds, Grants from the Spanish Ministry of Economy and Competitiveness (BIO2015-66426-R and CSD2009-00088) and the Human Frontier Science Program (RGP0041/2017). A.P. is a Wenner-Gren Foundations Postdoctoral Fellow and S. C. L. K. is a Wallenberg Academy Fellow