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

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

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

Rougier NP(1)(2)(3).

Author information:
(1)UMR5293 Institut des Maladies Neurodégénératives (IMN), Bordeaux, France.
(2)UMR5800 Laboratoire Bordelais de Recherche en Informatique (LaBRI), Talence,
France.
(3)Inria Bordeaux – Sud-Ouest Research Centre, Talence, France.

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.

DOI: 10.3389/fninf.2018.00012
PMCID: PMC5869184
PMID: 29615887

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