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The concept can be extended to higher dimensions, for example forming a 26-cell cubic neighborhood for a cellular automaton in three dimensions, as used by 3D Life. In dimension d, where 0 ≤ d , d ∈ Z {\displaystyle 0\leq d,d\in \mathbb {Z} } , the size of the neighborhood is 3 d − 1.
To quantify the number of cells in a culture, the cells can be simply plated on a petri dish with growth medium. If the cells are efficiently distributed on the plate, it can be generally assumed that each cell will give rise to a single colony or Colony Forming Unit (CFU). The colonies can then be counted, and based on the known volume of ...
Otherwise, we check V[T[k]], and verify that the first component of this pair is equal to k. If it is not, then T[k] is uninitialized (and just happened by accident to fall in the range {1, ..., m}). Otherwise, we know that T[k] is indeed one of the initialized cells, and the corresponding value is the second component of the pair.
The state of each cell in a totalistic cellular automaton is represented by a number (usually an integer value drawn from a finite set), and the value of a cell at time t depends only on the sum of the values of the cells in its neighborhood (possibly including the cell itself) at time t − 1.
Counting the total number of cells is of course laborious. In a clinical setting, and where the intention is only to compare observations rather than to state an index, informal alternatives may be used: for example "12 mitotic figures are noted per 10 high power [microscopic] fields" in contrast with "4 mitotic figures noted per 50 high power ...
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The number of cells counted is the sum of all cells counted across squares in one chamber. The proportion of the cells counted applies if not all inner squares within a set square are counted (i.e., if only 4 out of the 20 in a corner square are counted, then this term will equal 0.2).