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Updated: Feb 23, 2026

Creating Rapid Oxygen Oscillations in Microbial Single-cell Growth Analysis using a Microfluidic Double-layer Device
Published on: July 18, 2025
Frequency-associated transition from single-cell asynchronous motion to monotonic growth
Marcin Lipowczan1, Mariusz Pietruszka2
1Faculty of Biology and Environment Protection, Biophysics and Morphogenesis of Plants, University of Silesia, Jagiellońska 28, 40032, Katowice, Poland.
Abstract:
This paper presents a Fourier analysis of the Ortega equation that examines the growth dynamics of plants, specifically the pollen tubes or non-meristematic zones of elongating coleoptiles. A frequency-induced transition from highly nonlinear (periodical) growth-like the one observed in pollen tubes-to monotonically ascending and asymptotically saturated (sigmoid-like) growth, which is anticipated within the framework of a 'two-fluid model', is shown. A dynamic phase diagram is calculated and presented in the form of a live video clip.
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