A Density-Driven Method for the Placement of Biological Cells Over Two-Dimensional Manifolds

Front Neuroinform. 2018 Mar 20:12:12. doi: 10.3389/fninf.2018.00012. eCollection 2018.

Abstract

We introduce a graphical method originating from the computer graphics domain that is used for the arbitrary placement of cells over a two-dimensional manifold. Using a bitmap image whose luminance provides cell density, this method guarantees a discrete distribution of the positions of the cells respecting the local density. This method scales to any number of cells, allows one to specify arbitrary enclosing shapes and provides a scalable and versatile alternative to the more classical assumption of a uniform spatial distribution. The method is illustrated on a discrete homogeneous neural field, on the distribution of cones and rods in the retina and on the neural density of a flattened piece of cortex.

Keywords: Voronoi; cells; cortex; density; neurons; retina; spatial distribution; stippling.