Alexandra Fronville, Abdoulaye Sarr, Pascal Ballet and Vincent Rodin.
Mutational analysis-inspired algorithms for cells self-organization
towards a dynamic under viability constraints.
SASO 2012, 6th IEEE International Conference on Self-Adaptive and
Self-Organizing Systems, pages 181-186, Lyon (France), 10-14 September 2012.
Abstract:
In biology, recent techniques in confocal microscopy have produced experimental
data which highlights the importance of cellular dynamics in the evolution of
biological shapes. Thus, to understand the mechanisms underlying the
morphogenesis of multi-cellular organisms, we study this cellular dynamic
system in terms of its properties: cell multiplication, cell migration, and
apoptosis. Besides, understanding the convergence of the system toward a stable
form, involves local interactions between cells. Indeed, the way that cells
self-organize through these interactions determines the resulting form. Along
with the mechanisms of convergence highlighted above, the dynamic system also
undergoes controls established by the nature on the organisms growth. Hence,
to let the system viable, the global behavior of cells has to be assessed at
every state of their developement and must satisfy the constraints. Otherwise,
the whole system self-adapts in regard to its global behavior. Thus, we must
be able to formalize in a proper metric space a metaphor of cell dynamics in
order to find conditions (decisions, states) that would make cells to
self-organize and in which cells self-adapt so as to always satisfy operational
constraints (such as those induced by the tissue or the use of resources).
Therefore, the main point remains to find conditions in which the system is
viable and maintains its shape while renewing. The aim of this paper is to
explain the mathematical foundations of this work and describe a simulation
tool to study the morphogenesis of a virtual organism.
Keywords:
Biological multi-agent system, Mathematical programming,
Morphological analysis, Virtual reality.
[doi:10.1109/SASO.2012.15]
[Fronville12b.pdf]