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(B – 3 points) Now let’s calculate the mutual information between all pairs of wellrepresented positions in the alignment. Complete the function
get_MI_at_pairs_of_positions() to get the mutual information at each pair of
positions, and plot the mutual information at each pair of positions (if you have matplotlib
installed, you can uncomment the
plot_mutual_information_dict(mutual_information_dict) function provided to
make 2 heatmap plots, one relative to the original MSA positions, and a condensed one
relative to the “well-represented” position number).
What is the maximum mutual information, and at what pair of positions is this value
achieved? Upload the heatmap plot with the well-represented positions to the Stellar Problem
Set 4 electronic dropbox or include a printout of it with your write-up.
The maximum mutual information is 1.212, and it is attained between positions (339, 1131) of
the original MSA (well-represented position #s (50, 229)).
The condensed heatmap of mutual information for position pairs indexed relative to the “well­
represented positions”:
Mutual information heatmap
1.21
Well-represented Position 2
350
1.09
0.97
300
0.85
250
0.73
200
0.61
0.48
150
0.36
100
0.24
50
0
0.12
0
50
100
150
200
250
300
Well-represented Position 1
17
350
0.00