Experiment: 4-Aminobutyric (C)
Only strains with sufficient reads to estimate fitness are shown,
but the strain fitness values are still rather noisy and may be biased towards zero.
Strains near the edge of a gene are not shown as being associated with that
gene (they are in grey).
Strains in the central 10-90% of a gene are color coded by the insertion's strand.
Usually, "+" means that the selectable marker is encoded on the forward strand,
i.e., transcribed rightward.
500 nt PFLU_RS03855 and PFLU_RS03860 overlap by 14 nucleotides PFLU_RS03860 and PFLU_RS03865 are separated by 123 nucleotides
PFLU_RS03855: PFLU_RS03855 - glycine oxidase ThiO, at 878,021 to 879,130
_RS03855
PFLU_RS03860: PFLU_RS03860 - hypothetical protein, at 879,117 to 879,350
_RS03860
PFLU_RS03865: PFLU_RS03865 - outer membrane protein assembly factor BamD, at 879,474 to 880,499
_RS03865
Position (kb) 879
880 Strain fitness (log2 ratio) -3
-2
-1
0
1
2
3
4 at 878.180 kb on + strand, within PFLU_RS03855 at 878.180 kb on + strand, within PFLU_RS03855 at 878.180 kb on + strand, within PFLU_RS03855 at 878.180 kb on + strand, within PFLU_RS03855 at 878.180 kb on + strand, within PFLU_RS03855 at 878.181 kb on - strand, within PFLU_RS03855 at 878.181 kb on - strand, within PFLU_RS03855 at 878.192 kb on + strand, within PFLU_RS03855 at 878.192 kb on + strand, within PFLU_RS03855 at 878.193 kb on - strand, within PFLU_RS03855 at 878.193 kb on - strand, within PFLU_RS03855 at 878.195 kb on - strand, within PFLU_RS03855 at 878.195 kb on - strand, within PFLU_RS03855 at 878.237 kb on + strand, within PFLU_RS03855 at 878.237 kb on + strand, within PFLU_RS03855 at 878.238 kb on - strand, within PFLU_RS03855 at 878.306 kb on + strand, within PFLU_RS03855 at 878.306 kb on + strand, within PFLU_RS03855 at 878.306 kb on + strand, within PFLU_RS03855 at 878.306 kb on + strand, within PFLU_RS03855 at 878.307 kb on - strand, within PFLU_RS03855 at 878.374 kb on + strand, within PFLU_RS03855 at 878.374 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.441 kb on + strand, within PFLU_RS03855 at 878.442 kb on - strand, within PFLU_RS03855 at 878.442 kb on - strand, within PFLU_RS03855 at 878.442 kb on - strand, within PFLU_RS03855 at 878.442 kb on - strand, within PFLU_RS03855 at 878.442 kb on - strand, within PFLU_RS03855 at 878.442 kb on - strand, within PFLU_RS03855 at 878.442 kb on - strand, within PFLU_RS03855 at 878.442 kb on - strand, within PFLU_RS03855 at 878.442 kb on - strand, within PFLU_RS03855 at 878.442 kb on - strand, within PFLU_RS03855 at 878.442 kb on - strand, within PFLU_RS03855 at 878.442 kb on - strand, within PFLU_RS03855 at 878.442 kb on - strand, within PFLU_RS03855 at 878.442 kb on - strand, within PFLU_RS03855 at 878.442 kb on - strand, within PFLU_RS03855 at 878.442 kb on - strand, within PFLU_RS03855 at 878.442 kb on - strand, within PFLU_RS03855 at 878.442 kb on - strand, within PFLU_RS03855 at 878.442 kb on - strand, within PFLU_RS03855 at 878.442 kb on - strand, within PFLU_RS03855 at 878.442 kb on - strand, within PFLU_RS03855 at 878.442 kb on - strand, within PFLU_RS03855 at 878.442 kb on - strand, within PFLU_RS03855 at 878.442 kb on - strand, within PFLU_RS03855 at 878.442 kb on - strand, within PFLU_RS03855 at 878.442 kb on - strand, within PFLU_RS03855 at 878.442 kb on - strand, within PFLU_RS03855 at 878.442 kb on - strand, within PFLU_RS03855 at 878.442 kb on - strand, within PFLU_RS03855 at 878.442 kb on - strand, within PFLU_RS03855 at 878.442 kb on - strand, within PFLU_RS03855 at 878.442 kb on - strand, within PFLU_RS03855 at 878.442 kb on - strand, within PFLU_RS03855 at 878.443 kb on + strand, within PFLU_RS03855 at 878.443 kb on + strand, within PFLU_RS03855 at 878.443 kb on + strand, within PFLU_RS03855 at 878.443 kb on + strand, within PFLU_RS03855 at 878.443 kb on + strand, within PFLU_RS03855 at 878.444 kb on - strand, within PFLU_RS03855 at 878.623 kb on - strand, within PFLU_RS03855 at 878.692 kb on + strand, within PFLU_RS03855 at 878.693 kb on - strand, within PFLU_RS03855 at 878.693 kb on - strand, within PFLU_RS03855 at 878.712 kb on - strand, within PFLU_RS03855 at 878.712 kb on - strand, within PFLU_RS03855 at 878.762 kb on + strand, within PFLU_RS03855 at 878.788 kb on + strand, within PFLU_RS03855 at 878.789 kb on - strand, within PFLU_RS03855 at 878.803 kb on + strand, within PFLU_RS03855 at 878.803 kb on + strand, within PFLU_RS03855 at 878.804 kb on - strand, within PFLU_RS03855 at 878.804 kb on - strand, within PFLU_RS03855 at 878.804 kb on - strand, within PFLU_RS03855 at 878.957 kb on + strand, within PFLU_RS03855 at 878.957 kb on + strand, within PFLU_RS03855 at 878.957 kb on + strand, within PFLU_RS03855 at 878.957 kb on + strand, within PFLU_RS03855 at 878.957 kb on + strand, within PFLU_RS03855 at 878.957 kb on + strand, within PFLU_RS03855 at 878.957 kb on + strand, within PFLU_RS03855 at 878.957 kb on + strand, within PFLU_RS03855 at 878.957 kb on + strand, within PFLU_RS03855 at 878.957 kb on + strand, within PFLU_RS03855 at 878.958 kb on - strand, within PFLU_RS03855 at 878.958 kb on - strand, within PFLU_RS03855 at 878.958 kb on - strand, within PFLU_RS03855 at 878.958 kb on - strand, within PFLU_RS03855 at 878.958 kb on - strand, within PFLU_RS03855 at 878.958 kb on - strand, within PFLU_RS03855 at 878.958 kb on - strand, within PFLU_RS03855 at 878.958 kb on - strand, within PFLU_RS03855 at 878.958 kb on - strand, within PFLU_RS03855 at 878.958 kb on - strand, within PFLU_RS03855 at 878.958 kb on - strand, within PFLU_RS03855 at 878.958 kb on - strand, within PFLU_RS03855 at 878.958 kb on - strand, within PFLU_RS03855 at 879.009 kb on - strand, within PFLU_RS03855 at 879.098 kb on + strand at 879.098 kb on + strand at 879.098 kb on + strand at 879.098 kb on + strand at 879.099 kb on - strand at 879.128 kb on + strand at 879.128 kb on + strand at 879.129 kb on - strand at 879.166 kb on + strand, within PFLU_RS03860 at 879.166 kb on + strand, within PFLU_RS03860 at 879.166 kb on + strand, within PFLU_RS03860 at 879.166 kb on + strand, within PFLU_RS03860 at 879.167 kb on - strand, within PFLU_RS03860 at 879.167 kb on - strand, within PFLU_RS03860 at 879.167 kb on - strand, within PFLU_RS03860 at 879.167 kb on - strand, within PFLU_RS03860 at 879.272 kb on + strand, within PFLU_RS03860 at 879.306 kb on + strand, within PFLU_RS03860 at 879.306 kb on + strand, within PFLU_RS03860 at 879.306 kb on + strand, within PFLU_RS03860 at 879.306 kb on + strand, within PFLU_RS03860 at 879.307 kb on - strand, within PFLU_RS03860 at 879.307 kb on - strand, within PFLU_RS03860 at 879.307 kb on - strand, within PFLU_RS03860 at 879.339 kb on + strand at 879.340 kb on - strand at 879.340 kb on - strand at 879.340 kb on - strand at 879.416 kb on + strand at 879.416 kb on + strand at 879.416 kb on + strand at 879.417 kb on - strand at 879.417 kb on - strand at 879.417 kb on - strand at 879.419 kb on + strand at 879.499 kb on + strand at 879.499 kb on + strand at 879.499 kb on + strand at 879.499 kb on + strand at 879.499 kb on + strand at 879.499 kb on + strand at 879.499 kb on + strand at 879.499 kb on + strand at 879.499 kb on + strand at 879.499 kb on + strand at 879.499 kb on + strand at 879.499 kb on + strand at 879.499 kb on + strand at 879.499 kb on + strand at 879.499 kb on + strand at 879.499 kb on + strand at 879.500 kb on - strand at 879.500 kb on - strand at 879.500 kb on - strand at 879.500 kb on - strand at 879.500 kb on - strand at 879.500 kb on - strand at 879.500 kb on - strand at 879.500 kb on - strand at 879.500 kb on - strand at 879.500 kb on - strand at 879.500 kb on - strand at 879.500 kb on - strand at 879.500 kb on - strand at 879.500 kb on - strand at 879.500 kb on - strand at 879.500 kb on - strand at 879.558 kb on + strand at 879.559 kb on - strand at 879.559 kb on - strand at 879.559 kb on - strand at 879.559 kb on - strand at 879.559 kb on - strand at 879.697 kb on + strand, within PFLU_RS03865 at 879.697 kb on + strand, within PFLU_RS03865 at 879.697 kb on + strand, within PFLU_RS03865 at 879.697 kb on + strand, within PFLU_RS03865 at 879.697 kb on + strand, within PFLU_RS03865 at 879.697 kb on + strand, within PFLU_RS03865 at 879.697 kb on + strand, within PFLU_RS03865 at 879.697 kb on + strand, within PFLU_RS03865 at 879.697 kb on + strand, within PFLU_RS03865 at 879.698 kb on - strand, within PFLU_RS03865 at 879.698 kb on - strand, within PFLU_RS03865 at 879.698 kb on - strand, within PFLU_RS03865 at 879.698 kb on - strand, within PFLU_RS03865 at 879.698 kb on - strand, within PFLU_RS03865 at 879.698 kb on - strand, within PFLU_RS03865 at 879.698 kb on - strand, within PFLU_RS03865 at 879.698 kb on - strand, within PFLU_RS03865 at 879.778 kb on + strand, within PFLU_RS03865 at 879.779 kb on - strand, within PFLU_RS03865 at 879.779 kb on - strand, within PFLU_RS03865 at 879.779 kb on - strand, within PFLU_RS03865
Per-strain Table
Position Strand Gene LocusTag Fraction 4-Aminobutyric (C) remove 878,180 + PFLU_RS03855 0.14 +0.8 878,180 + PFLU_RS03855 0.14 +0.6 878,180 + PFLU_RS03855 0.14 +4.4 878,180 + PFLU_RS03855 0.14 -1.4 878,180 + PFLU_RS03855 0.14 +0.5 878,181 - PFLU_RS03855 0.14 -2.9 878,181 - PFLU_RS03855 0.14 +1.0 878,192 + PFLU_RS03855 0.15 +2.6 878,192 + PFLU_RS03855 0.15 -0.0 878,193 - PFLU_RS03855 0.15 +1.0 878,193 - PFLU_RS03855 0.15 -0.4 878,195 - PFLU_RS03855 0.16 +2.8 878,195 - PFLU_RS03855 0.16 +1.9 878,237 + PFLU_RS03855 0.19 -0.0 878,237 + PFLU_RS03855 0.19 +0.4 878,238 - PFLU_RS03855 0.20 -2.1 878,306 + PFLU_RS03855 0.26 +1.0 878,306 + PFLU_RS03855 0.26 -0.2 878,306 + PFLU_RS03855 0.26 -0.4 878,306 + PFLU_RS03855 0.26 +0.9 878,307 - PFLU_RS03855 0.26 -1.1 878,374 + PFLU_RS03855 0.32 +0.9 878,374 + PFLU_RS03855 0.32 +3.9 878,441 + PFLU_RS03855 0.38 +2.0 878,441 + PFLU_RS03855 0.38 +0.3 878,441 + PFLU_RS03855 0.38 +1.4 878,441 + PFLU_RS03855 0.38 +1.1 878,441 + PFLU_RS03855 0.38 +0.6 878,441 + PFLU_RS03855 0.38 +0.6 878,441 + PFLU_RS03855 0.38 -0.2 878,441 + PFLU_RS03855 0.38 +1.6 878,441 + PFLU_RS03855 0.38 +0.3 878,441 + PFLU_RS03855 0.38 -1.4 878,441 + PFLU_RS03855 0.38 +0.6 878,441 + PFLU_RS03855 0.38 +0.4 878,441 + PFLU_RS03855 0.38 +0.5 878,441 + PFLU_RS03855 0.38 -2.2 878,441 + PFLU_RS03855 0.38 -2.0 878,441 + PFLU_RS03855 0.38 -0.3 878,441 + PFLU_RS03855 0.38 -1.6 878,441 + PFLU_RS03855 0.38 -0.6 878,441 + PFLU_RS03855 0.38 -0.2 878,441 + PFLU_RS03855 0.38 +0.4 878,441 + PFLU_RS03855 0.38 -3.0 878,441 + PFLU_RS03855 0.38 -1.1 878,441 + PFLU_RS03855 0.38 -1.1 878,441 + PFLU_RS03855 0.38 -0.6 878,441 + PFLU_RS03855 0.38 -2.1 878,441 + PFLU_RS03855 0.38 +0.6 878,441 + PFLU_RS03855 0.38 -1.2 878,441 + PFLU_RS03855 0.38 -0.7 878,441 + PFLU_RS03855 0.38 +1.2 878,441 + PFLU_RS03855 0.38 +2.9 878,441 + PFLU_RS03855 0.38 -0.2 878,441 + PFLU_RS03855 0.38 -1.2 878,441 + PFLU_RS03855 0.38 -0.4 878,441 + PFLU_RS03855 0.38 -1.1 878,441 + PFLU_RS03855 0.38 +0.7 878,441 + PFLU_RS03855 0.38 +3.6 878,441 + PFLU_RS03855 0.38 +0.5 878,441 + PFLU_RS03855 0.38 -1.5 878,441 + PFLU_RS03855 0.38 -1.8 878,441 + PFLU_RS03855 0.38 -0.0 878,442 - PFLU_RS03855 0.38 +1.8 878,442 - PFLU_RS03855 0.38 -0.6 878,442 - PFLU_RS03855 0.38 +0.6 878,442 - PFLU_RS03855 0.38 +1.4 878,442 - PFLU_RS03855 0.38 +1.9 878,442 - PFLU_RS03855 0.38 -0.2 878,442 - PFLU_RS03855 0.38 +2.5 878,442 - PFLU_RS03855 0.38 +0.6 878,442 - PFLU_RS03855 0.38 +3.2 878,442 - PFLU_RS03855 0.38 +4.4 878,442 - PFLU_RS03855 0.38 +2.4 878,442 - PFLU_RS03855 0.38 +2.4 878,442 - PFLU_RS03855 0.38 +2.3 878,442 - PFLU_RS03855 0.38 +2.9 878,442 - PFLU_RS03855 0.38 +0.4 878,442 - PFLU_RS03855 0.38 -2.8 878,442 - PFLU_RS03855 0.38 -0.6 878,442 - PFLU_RS03855 0.38 -1.7 878,442 - PFLU_RS03855 0.38 -0.5 878,442 - PFLU_RS03855 0.38 -1.1 878,442 - PFLU_RS03855 0.38 -2.4 878,442 - PFLU_RS03855 0.38 -3.0 878,442 - PFLU_RS03855 0.38 -0.3 878,442 - PFLU_RS03855 0.38 -0.4 878,442 - PFLU_RS03855 0.38 +3.2 878,442 - PFLU_RS03855 0.38 +0.5 878,442 - PFLU_RS03855 0.38 +1.1 878,442 - PFLU_RS03855 0.38 +2.2 878,442 - PFLU_RS03855 0.38 +3.7 878,442 - PFLU_RS03855 0.38 -0.4 878,442 - PFLU_RS03855 0.38 +1.7 878,442 - PFLU_RS03855 0.38 +1.8 878,442 - PFLU_RS03855 0.38 +2.4 878,443 + PFLU_RS03855 0.38 -2.6 878,443 + PFLU_RS03855 0.38 +1.9 878,443 + PFLU_RS03855 0.38 -1.3 878,443 + PFLU_RS03855 0.38 -1.2 878,443 + PFLU_RS03855 0.38 +1.0 878,444 - PFLU_RS03855 0.38 +1.4 878,623 - PFLU_RS03855 0.54 +0.2 878,692 + PFLU_RS03855 0.60 -0.3 878,693 - PFLU_RS03855 0.61 +1.6 878,693 - PFLU_RS03855 0.61 -1.5 878,712 - PFLU_RS03855 0.62 -0.3 878,712 - PFLU_RS03855 0.62 -1.1 878,762 + PFLU_RS03855 0.67 +1.0 878,788 + PFLU_RS03855 0.69 +1.0 878,789 - PFLU_RS03855 0.69 -1.4 878,803 + PFLU_RS03855 0.70 -2.3 878,803 + PFLU_RS03855 0.70 +0.6 878,804 - PFLU_RS03855 0.71 +0.1 878,804 - PFLU_RS03855 0.71 +0.6 878,804 - PFLU_RS03855 0.71 -1.2 878,957 + PFLU_RS03855 0.84 +0.2 878,957 + PFLU_RS03855 0.84 -1.4 878,957 + PFLU_RS03855 0.84 -0.6 878,957 + PFLU_RS03855 0.84 +1.5 878,957 + PFLU_RS03855 0.84 -0.4 878,957 + PFLU_RS03855 0.84 -1.3 878,957 + PFLU_RS03855 0.84 -1.8 878,957 + PFLU_RS03855 0.84 -0.4 878,957 + PFLU_RS03855 0.84 -1.4 878,957 + PFLU_RS03855 0.84 +1.6 878,958 - PFLU_RS03855 0.84 -1.7 878,958 - PFLU_RS03855 0.84 -1.6 878,958 - PFLU_RS03855 0.84 +0.6 878,958 - PFLU_RS03855 0.84 +1.4 878,958 - PFLU_RS03855 0.84 -0.0 878,958 - PFLU_RS03855 0.84 +1.1 878,958 - PFLU_RS03855 0.84 -1.4 878,958 - PFLU_RS03855 0.84 -2.1 878,958 - PFLU_RS03855 0.84 -0.4 878,958 - PFLU_RS03855 0.84 -2.4 878,958 - PFLU_RS03855 0.84 -0.6 878,958 - PFLU_RS03855 0.84 -0.6 878,958 - PFLU_RS03855 0.84 -3.2 879,009 - PFLU_RS03855 0.89 +1.7 879,098 + -1.2 879,098 + -0.8 879,098 + -2.6 879,098 + -1.9 879,099 - -0.8 879,128 + +1.6 879,128 + -1.5 879,129 - -1.2 879,166 + PFLU_RS03860 0.21 +1.2 879,166 + PFLU_RS03860 0.21 -1.2 879,166 + PFLU_RS03860 0.21 -0.8 879,166 + PFLU_RS03860 0.21 -1.5 879,167 - PFLU_RS03860 0.21 -0.2 879,167 - PFLU_RS03860 0.21 -0.9 879,167 - PFLU_RS03860 0.21 +0.5 879,167 - PFLU_RS03860 0.21 -0.2 879,272 + PFLU_RS03860 0.66 -1.1 879,306 + PFLU_RS03860 0.81 +1.6 879,306 + PFLU_RS03860 0.81 +0.2 879,306 + PFLU_RS03860 0.81 -1.0 879,306 + PFLU_RS03860 0.81 -1.6 879,307 - PFLU_RS03860 0.81 +0.4 879,307 - PFLU_RS03860 0.81 -2.0 879,307 - PFLU_RS03860 0.81 -0.8 879,339 + +2.0 879,340 - -2.2 879,340 - +2.6 879,340 - +0.6 879,416 + -0.6 879,416 + +0.2 879,416 + +1.1 879,417 - -0.9 879,417 - -1.9 879,417 - +0.2 879,419 + -0.2 879,499 + -0.6 879,499 + +1.6 879,499 + +1.0 879,499 + +3.4 879,499 + +2.5 879,499 + +0.6 879,499 + -2.2 879,499 + +0.9 879,499 + +2.6 879,499 + +0.5 879,499 + +2.3 879,499 + -0.6 879,499 + -2.2 879,499 + -0.0 879,499 + +2.3 879,499 + -0.2 879,500 - -1.2 879,500 - +0.8 879,500 - +0.4 879,500 - -0.1 879,500 - -2.8 879,500 - -1.9 879,500 - +3.7 879,500 - -0.9 879,500 - -0.8 879,500 - +3.4 879,500 - -1.9 879,500 - +1.6 879,500 - -1.6 879,500 - -0.3 879,500 - -1.1 879,500 - -3.1 879,558 + -1.9 879,559 - -1.3 879,559 - +1.8 879,559 - +1.1 879,559 - +2.7 879,559 - +3.8 879,697 + PFLU_RS03865 0.22 -1.1 879,697 + PFLU_RS03865 0.22 +3.8 879,697 + PFLU_RS03865 0.22 -1.5 879,697 + PFLU_RS03865 0.22 +2.6 879,697 + PFLU_RS03865 0.22 -1.5 879,697 + PFLU_RS03865 0.22 -0.2 879,697 + PFLU_RS03865 0.22 -1.5 879,697 + PFLU_RS03865 0.22 -0.0 879,697 + PFLU_RS03865 0.22 -0.2 879,698 - PFLU_RS03865 0.22 -0.9 879,698 - PFLU_RS03865 0.22 -1.5 879,698 - PFLU_RS03865 0.22 -0.4 879,698 - PFLU_RS03865 0.22 -2.3 879,698 - PFLU_RS03865 0.22 +2.1 879,698 - PFLU_RS03865 0.22 +1.6 879,698 - PFLU_RS03865 0.22 +0.5 879,698 - PFLU_RS03865 0.22 +2.5 879,778 + PFLU_RS03865 0.30 +3.4 879,779 - PFLU_RS03865 0.30 -0.0 879,779 - PFLU_RS03865 0.30 -1.0 879,779 - PFLU_RS03865 0.30 -1.9
Or see this region's nucleotide sequence