Straube, Arthur V. and Winkelmann, Stefanie and Höfling, Felix
(2023)
*Accurate reduced models for the pH oscillations in the urea-urease reaction confined to giant lipid vesicles.*
J. Phys. Chem. B, 127
(13).
pp. 2955-2967.

Full text not available from this repository.

Official URL: https://doi.org/10.1021/acs.jpcb.2c09092

## Abstract

This theoretical study concerns a pH oscillator based on the urea–urease reaction confined to giant lipid vesicles. Under suitable conditions, differential transport of urea and hydrogen ion across the unilamellar vesicle membrane periodically resets the pH clock that switches the system from acid to basic, resulting in self-sustained oscillations. We analyze the structure of the phase flow and of the limit cycle, which controls the dynamics for giant vesicles and dominates the pronouncedly stochastic oscillations in small vesicles of submicrometer size. To this end, we derive reduced models, which are amenable to analytic treatments that are complemented by numerical solutions, and obtain the period and amplitude of the oscillations as well as the parameter domain, where oscillatory behavior persists. We show that the accuracy of these predictions is highly sensitive to the employed reduction scheme. In particular, we suggest an accurate two-variable model and show its equivalence to a three-variable model that admits an interpretation in terms of a chemical reaction network. The faithful modeling of a single pH oscillator appears crucial for rationalizing experiments and understanding communication of vesicles and synchronization of rhythms.

Item Type: | Article |
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Subjects: | Mathematical and Computer Sciences Mathematical and Computer Sciences > Mathematics Mathematical and Computer Sciences > Mathematics > Applied Mathematics |

Divisions: | Department of Mathematics and Computer Science > Institute of Mathematics |

ID Code: | 2959 |

Deposited By: | Monika Drueck |

Deposited On: | 20 Apr 2023 10:31 |

Last Modified: | 20 Apr 2023 10:31 |

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