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Also, different cell histories group together for different observables.
Thus, all three observables exhibit short-term memory of the cell histories tested, with the sporulation reporter exhibiting the most memory and growth dynamics the least.
The above memory estimates are in a sense high-level, because each of the 10 distinct cell histories is treated identically.
The mutual information between the resulting clustering vectors and the cell history vector captures how well the different behavioral classes of each observable correspond to different cell histories.
The B. subtilis stress responses measured by the three observables (Figure 5) appear neither memoryless nor in possession of a perfect memory of the cell histories tested.
In our experiments, we quantified the ability of three B. subtilis stress response systems–sporulation, degradative enzyme synthesis, and growth-to 'remember' 10 distinct cell histories prior to application of a common stressor.
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Investigation is based on a Lagrangian formulation, which is well adapted to characterize individual cell history.
By drilling down a level of resolution to the component parts of the cell histories initial nutrient composition of the media and cell density reached in that media (which can also feasibly affect both the nutritional composition of the medium and cell state while in log phase)–we can investigate which aspects of cell history are remembered by the observables and for how long.
The system allows direct correlation of cell history (e.g., hysteresis or epigenetics) or cell cycle position with the measured response.
Thus, memory is estimated to be the mutual information between cell history and cell behavior and calculated by calling Entropy_MutualInfo.m with input vectors A = M = [1 1 1 2 2 2.10 10 10], the cell history vector, and B equal to one of the six cluster vectors from step 1.
The analysis suggests that B. subtilis remembers, both in short and long term, aspects of its cell history, and that this memory is distributed differently among the observables.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com