Spontaneous Movements in Plants Studied as a Random Walk Process
- 1 October 1966
- journal article
- research article
- Published by Wiley in Physiologia Plantarum
- Vol. 19 (4) , 1125-1137
- https://doi.org/10.1111/j.1399-3054.1966.tb07106.x
Abstract
A theory to describe spontaneous curvatures performed by different plant materials on the clinostat is put forward. The movements are proposed to follow the assumptions of a random walk process (statistically randomly distributed movements) and thus to give curvatures following the equationsE(α) = 0V(α) = constant * timewhere α is the curvature from the starting direction, E(α) is the expectation of α and V(α) is the variance ofα. These equations are experimentally shown to be valid for Lepidium roots and Helianthus hypocotyls. Results for roots reported in the literature are recalculated and are shown to support the theory.Keywords
This publication has 7 references indexed in Scilit:
- Investigations of the Reciprocity Rule by Means of Geotropic and Geoelectric MeasurementsPhysiologia Plantarum, 1965
- The Development of Geotropic and Spontaneous Curvatures in RootsPhysiologia Plantarum, 1957
- Determination of the Stimuli for Involuntary Drifts and Saccadic Eye Movements*Journal of the Optical Society of America, 1956
- Influence of Gravity on Rate of Elongation and on Geotropic and Autotropic Reactions in RootsPhysiologia Plantarum, 1953
- Stochastic Problems in Physics and AstronomyReviews of Modern Physics, 1943
- Zur Klärung von Krümmungen, die ohne vorhergegangene Reizung auf dem Klinostaten auftretenPlanta, 1933
- Zur Kenntnis der KlinostatenwirkungPlanta, 1932