Application of time-series regularity metrics to ion flux data from a population of pollen tubes

Abstract

Detecting the presence of an irregularity/regularity or chaos in the ion flows of an evolving plant cell is an important task that can be unraveled by performing the analyses by different metrics. Here I show that the results of the advanced fluctuation estimation methods that are obtained from the time series that is generated by the extracellular ion fluxes of tobacco pollen tubes (Nicotiana tabacum L.) have long-range correlations at critical temperatures. Further experimental evidence has been found to support the claim that the autonomous growth organization of extreme plant cell expansion is accomplished by self-organizing criticality (SOC), which is an orchestrated instability that occurs in an optimally evolving cell. The temperature-induced synchronous action of the ionic fluxes that are manifested, inter alia, by minimal dynamic entropy enabled the molecularly encoded information about germination and optimal growth temperatures of tobacco pollen tubes to be determined.

Expansive Growth vs. pH Reflects a Poisson Point Process of Binding/Unbinding Events in Plant Cell Walls

“…Nevertheless, this work is an attempt to introduce explicitly statistical (binomial, Poisson and Boltzmann) distributions to model the cell wall during expansive growth, and I believe that the concomitant presence of the microscopic ( E d,r j , H + ) and macroscopic-pH Fig. 6 The Lorentz resonances (green dashed line) of a spectral exponent (solid red line) at the energies E 1 and E 2 corresponding to germination and optimum growth events (Pietruszka 2021) in case of pollen tubes (compare also with Figs. 4, 5 and the paragraph "Temperature-induced sudden onset of coherent action in pollens-Lorentz resonances" in Pietruszka and Olszewska 2020).…”

“…Also multiscale models encoding physical relationships that bring new understanding to plant physiology and development have been proposed (Jensen and Fozard 2015 for review). Plant cells have been correctly recognised to be open systems (Barbacci et al 2015) that dissipate energy (Pietruszka and Olszewska 2020) and exchange entropy (Pietruszka 2021) and matter with the environment. The role of biotic and abiotic factors during the expansive growth of plant cells has been studied intensely by many researchers, and analytic models that elucidate the expansive growth have been proposed (e.g.…”