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Using stochastic cellular automata to model and define sufficient conditions for the survival of Enterococcus faecalis biofilms with the pCF10 plasmid under erythromycin treatment
Fig 9
Bacterial cell placement diagrams.
(A) Assuming the cell to cell distance at which less densely packed bacterial cells require to divide is L = 3 μm. Then the green boxes surrounding lattice node 
are the locations from which a divided cell placed into 
can originate from. (B-E) Illustration of the probability that a bacterial cell at lattice node 
divides and places a cell in empty lattice node 
. The yellow boxes denote the lattice nodes 
that ensure the division distance. The lattice nodes denoted by the red squares are the other nodes that are checked for possible bacterial cell occupation. Note that if 
lies above or below 
then we do not take into account the lattice nodes to the right or left. If 
is to the left or right of 
and if lattice nodes 
or 
are empty then 
will not place the new cell in 
. 
will instead place the cell in 
or 
due to the observed growth anisotropy described in Sect 4.1.3. (B) 
. (C) 
. (D) 
. (E) 
. (F-G) Illustration of the two stochastic pathways through which stress induction of a cell can take place. (F) The blue box, 
, denotes a lattice node such that 
and 
. The green box, 
denotes a lattice node such that 
. We write 
. (G) Illustration of the quantities necessary to compute the probability that a lattice node, 
, is stressed by signaling molecules. Let the lattice node, 
, be such that 
and 
. Let the green box, H, be the set of all lattice nodes containing stressed cells within the neighborhood of 
, i.e. 
, 
if 
. Further, recall 
is the radius of 
. Then let 
be the minimum distance between 
and an element of H.
doi: https://doi.org/10.1371/journal.pcbi.1013425.g009