THREE-DIMENSIONAL SHAPE CHANGES DURING CELL DIVISION IN THE EPIDERMIS OF THE APICAL MERISTEM OF ANACHARIS DENSA (ELODEA)

1949 ◽  
Vol 36 (8) ◽  
pp. 584-595 ◽  
Author(s):  
Edwin B. Matzke
Keyword(s):  
Cell Division ◽  
Apical Meristem ◽  
Three Dimensional ◽  
Dimensional Shape ◽  
Three Dimensional Shape ◽  
Shape Changes

scholarly journals Can a flux-based mechanism explain positioning of protein clusters in a three-dimensional cell geometry?

2018 ◽  
Author(s):  
Matthias Kober ◽  
Silke Bergeler ◽  
Erwin Frey
Keyword(s):  
Cell Division ◽  
Three Dimensional ◽  
Stochastic Simulations ◽  
Bacterial Cell Division ◽  
Cell Geometry ◽  
One Dimensional ◽  
Protein Clusters ◽  
Dimensional Shape ◽  
Three Dimensional Shape ◽  
Dimensional Cell

The plane of bacterial cell division must be precisely positioned. In the bacterium Myxococcus xanthus, the proteins PomX and PomY form a large cluster, which is tethered to the nucleoid by the ATPase PomZ and moves in a stochastic, but biased manner towards midcell, where it initiates cell division. Previously, a positioning mechanism based on the fluxes of PomZ on the nucleoid was proposed. However, the cluster dynamics was analyzed in a reduced, one-dimensional geometry. Here we introduce a mathematical model that accounts for the three-dimensional shape of the nucleoid, such that nucleoid-bound PomZ dimers can diffuse past the cluster without interacting with it. Using stochastic simulations, we find that the cluster still moves to and localizes at midcell. Redistribution of PomZ by diffusion in the cytosol is essential for this cluster dynamics. Our mechanism also positions two clusters equidistantly on the nucleoid. We conclude that a flux-based mechanism allows for cluster positioning in a biologically realistic three-dimensional cell geometry.

Computer Graphics and Shape Diagnostics

1986 ◽  
Vol 30 (3) ◽  
pp. 211-215 ◽  
Author(s):  
Robert M. Beecher
Keyword(s):  
Three Dimensional ◽  
Surface Shape ◽  
Whole Body ◽  
Crash Test ◽  
Statistical Techniques ◽  
Data Sets ◽  
Body Movements ◽  
Dimensional Shape ◽  
Three Dimensional Shape ◽  
Shape Changes

The availability of stereophotometrically recorded human body data will permit us to better characterize three-dimensional shape, and to develop statistical techniques to take advantage of these mathematical characterizations. We have used whole-body data sets to simulate surface shape changes during body movements, and to provide surface contours for the design of anthropomorphic crash test manikins. Higher density face data are currently being used for surface contour comparisons, landmark spatial distribution analyses, and subregion delineations.

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