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Front. Neuroinform. | doi: 10.3389/fninf.2018.00012

A density-driven method for the placement of biological cells over two-dimensional manifolds

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

Keywords: Stippling, Voronoi, topology, topography, Cells, Neurons, Spatial computation, connectivity, neural networks, neural field, Retina, Cortex

Received: 14 Oct 2017; Accepted: 27 Feb 2018.

Edited by:

Arjen Van Ooyen, VU University Amsterdam, Netherlands

Reviewed by:

Hans Ekkehard Plesser, Norwegian University of Life Sciences, Norway
Sacha J. Van Albada, Research Center Jülich, Germany  

Copyright: © 2018 Rougier. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

* Correspondence: Dr. Nicolas P. Rougier, Inria Bordeaux - Sud-Ouest Research Centre, Talence, France,