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Acta Biotheoretica

, Volume 56, Issue 3, pp 233–247 | Cite as

Modelling of Cells Bioenergetics

  • Andrzej Kasperski
Regular Article

Abstract

This paper presents an integrated model describing the control of Saccharomyces cerevisiae yeast cells bioenergetics. This model describes the oxidative and respirofermentative metabolism. The model assumes that the mitochondria of the Saccharomyces cerevisiae cells are charged with NADH during the tricarboxylic acid cycle, and NADH is discharged from mitochondria later in the electron transport system. Selected effects observed in the Saccharomyces cerevisiae eucaryotic cells, including the Pasteur's and Crabtree effects, are also modeled.

Keywords

Cell mathematical model Crabtree effect Kluyver effect Mitochondria Pasteur's effect 

Abbreviations

TCA

Tricarboxylic acid

V(+)NADH

The rate of mitochondria charging with NADH

V(-)NADH

The rate of NADH discharging from mitochondria

fATP

Positive feedback for ATP

cycle(n)

The nth DOC oscillation cycle

portion(n)

The nth glucose portion

DOC

Dissolved O2 concentration in the culture medium

DOCset

The set value of DOC

RQ

Respiratory quotient

RQset

The set value of RQ

RQ0

The respiratory quotient when no ethanol is being produced

RQmax

The maximum value of respiratory quotient in the current DOC oscillation cycle

RQmax(n)

The maximum value of respiratory quotient in the nth DOC oscillation cycle

MaxGluCon

The maximum value of glucose concentration in the culture medium in the DOC oscillation cycle

GluCon

The glucose concentration in the culture medium

GluConcritical

The critical value of glucose concentration, denotes such glucose concentration in the culture medium which, if exceeded, causes fermentation in good aerobic conditions

mtNADHmin

The minimal level of intramitochondrial NADH

mtNADHnormal

The normal level of intramitochondrial NADH

mtNADHcritical

The critical level of intramitochondrial NADH

EPR

The ethanol production rate

OUR

The oxygen uptake rate

Notes

Acknowledgments

I am grateful to Prof. Tadeusz Lachowicz at the University of Wroclaw, Poland and Prof. Mykhailo V. Gonchar from the Institute of Cell Biology, NAS, Ukraine for their help and critical reading of this article. I am also sincerely indebted to Prof. Tadeusz Miskiewicz and Ms Alicja Stempniak from the Department of Bioprocess Engineering, Wroclaw University of Economics, Poland, for their help in the preparation and execution of my experiments.

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Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  1. 1.Faculty of Mathematics, Computer Science and EconometricsUniversity of Zielona Gora, The BTFZielona GoraPoland

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