Bifurcations and limit cycles in cytosolic yeast calcium

Guihong Fan, Rosalind Huff, Jennifer Muir, Zinayida Nektalova, Jane Kruchowsky, Jennifer L. Kepler, Haiyan Wang, Pamela Marshall, Francisco Solis

Research output: Contribution to journalArticle

Abstract

Calcium homeostasis is a fundamental cellular process in yeast. The regulation of the cytosolic calcium concentration is required for volume preservation and to regulate many vital calcium dependent processes such as mating and response to stress. The homeostatic mechanism is often studied by applying calcium pulses: sharply changing the calcium concentration in the yeast environment and observing the cellular response. To address these experimental investigations, several mathematical models have been proposed to describe this response. In this article we demonstrate that a previously studied model for this response predicts the presence of limit point instabilities and limit cycles in the dynamics of the calcium homeostasis system. We discuss the ways in which such dynamic characteristics can be observed with luminometric techniques. We contrast these predictions with experimentally observed responses and find that the experiments reveal a number of features that are consistent with modeling predictions. In particular, we find that equilibrium cytosolic concentrations have a sharp change in behavior as pulse size changes in the micromolar range. We show that such change is consistent with the presence of limit point instabilities. Additionally, we find that the response of synchronized yeast cells to millimolar range pulses is non-monotonic in its late stages. This response has characteristics similar to those associated with limit cycles.

Original languageEnglish (US)
Pages (from-to)58-70
Number of pages13
JournalMathematical Biosciences
Volume298
DOIs
StatePublished - Apr 1 2018

Fingerprint

Calcium
Yeast
Limit Cycle
Bifurcation
Yeasts
yeasts
calcium
Homeostasis
Limit Point
homeostasis
prediction
behavior change
Prediction
Dynamic Characteristics
Experimental Investigation
stress response
Range of data
Preservation
Theoretical Models
mathematical models

Keywords

  • Bifurcations
  • Calcium homeostasis
  • Oscillations
  • Yeast

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

Cite this

Fan, G., Huff, R., Muir, J., Nektalova, Z., Kruchowsky, J., Kepler, J. L., ... Solis, F. (2018). Bifurcations and limit cycles in cytosolic yeast calcium. Mathematical Biosciences, 298, 58-70. https://doi.org/10.1016/j.mbs.2017.11.001

Bifurcations and limit cycles in cytosolic yeast calcium. / Fan, Guihong; Huff, Rosalind; Muir, Jennifer; Nektalova, Zinayida; Kruchowsky, Jane; Kepler, Jennifer L.; Wang, Haiyan; Marshall, Pamela; Solis, Francisco.

In: Mathematical Biosciences, Vol. 298, 01.04.2018, p. 58-70.

Research output: Contribution to journalArticle

Fan G, Huff R, Muir J, Nektalova Z, Kruchowsky J, Kepler JL et al. Bifurcations and limit cycles in cytosolic yeast calcium. Mathematical Biosciences. 2018 Apr 1;298:58-70. https://doi.org/10.1016/j.mbs.2017.11.001
Fan, Guihong ; Huff, Rosalind ; Muir, Jennifer ; Nektalova, Zinayida ; Kruchowsky, Jane ; Kepler, Jennifer L. ; Wang, Haiyan ; Marshall, Pamela ; Solis, Francisco. / Bifurcations and limit cycles in cytosolic yeast calcium. In: Mathematical Biosciences. 2018 ; Vol. 298. pp. 58-70.
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