Experiment: Trisodium citrate (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_RS08180 and PFLU_RS08185 are separated by 48 nucleotides PFLU_RS08185 and PFLU_RS08190 are separated by 392 nucleotides
PFLU_RS08180: PFLU_RS08180 - ketoacyl-ACP synthase III, at 1,828,674 to 1,829,690
_RS08180
PFLU_RS08185: PFLU_RS08185 - DegT/DnrJ/EryC1/StrS aminotransferase family protein, at 1,829,739 to 1,830,917
_RS08185
PFLU_RS08190: PFLU_RS08190 - polysaccharide biosynthesis protein, at 1,831,310 to 1,833,304
_RS08190
Position (kb)
1829
1830
1831 Strain fitness (log2 ratio)
-3
-2
-1
0
1
2
3 at 1828.803 kb on - strand, within PFLU_RS08180 at 1828.910 kb on + strand, within PFLU_RS08180 at 1828.915 kb on + strand, within PFLU_RS08180 at 1828.915 kb on + strand, within PFLU_RS08180 at 1828.916 kb on - strand, within PFLU_RS08180 at 1828.916 kb on - strand, within PFLU_RS08180 at 1828.916 kb on - strand, within PFLU_RS08180 at 1828.916 kb on - strand, within PFLU_RS08180 at 1828.935 kb on + strand, within PFLU_RS08180 at 1828.936 kb on - strand, within PFLU_RS08180 at 1828.958 kb on + strand, within PFLU_RS08180 at 1828.958 kb on + strand, within PFLU_RS08180 at 1828.959 kb on - strand, within PFLU_RS08180 at 1829.031 kb on - strand, within PFLU_RS08180 at 1829.051 kb on + strand, within PFLU_RS08180 at 1829.052 kb on - strand, within PFLU_RS08180 at 1829.059 kb on + strand, within PFLU_RS08180 at 1829.119 kb on - strand, within PFLU_RS08180 at 1829.119 kb on - strand, within PFLU_RS08180 at 1829.179 kb on + strand, within PFLU_RS08180 at 1829.349 kb on - strand, within PFLU_RS08180 at 1829.357 kb on + strand, within PFLU_RS08180 at 1829.563 kb on + strand, within PFLU_RS08180 at 1829.659 kb on - strand at 1829.694 kb on + strand at 1829.751 kb on - strand at 1829.816 kb on + strand at 1829.819 kb on + strand at 1829.915 kb on + strand, within PFLU_RS08185 at 1829.915 kb on + strand, within PFLU_RS08185 at 1829.916 kb on - strand, within PFLU_RS08185 at 1829.933 kb on - strand, within PFLU_RS08185 at 1829.933 kb on - strand, within PFLU_RS08185 at 1829.978 kb on + strand, within PFLU_RS08185 at 1829.995 kb on + strand, within PFLU_RS08185 at 1830.016 kb on + strand, within PFLU_RS08185 at 1830.016 kb on + strand, within PFLU_RS08185 at 1830.017 kb on - strand, within PFLU_RS08185 at 1830.035 kb on + strand, within PFLU_RS08185 at 1830.037 kb on + strand, within PFLU_RS08185 at 1830.073 kb on + strand, within PFLU_RS08185 at 1830.073 kb on + strand, within PFLU_RS08185 at 1830.074 kb on - strand, within PFLU_RS08185 at 1830.110 kb on + strand, within PFLU_RS08185 at 1830.110 kb on + strand, within PFLU_RS08185 at 1830.192 kb on - strand, within PFLU_RS08185 at 1830.227 kb on + strand, within PFLU_RS08185 at 1830.231 kb on + strand, within PFLU_RS08185 at 1830.231 kb on + strand, within PFLU_RS08185 at 1830.231 kb on + strand, within PFLU_RS08185 at 1830.231 kb on + strand, within PFLU_RS08185 at 1830.231 kb on + strand, within PFLU_RS08185 at 1830.231 kb on + strand, within PFLU_RS08185 at 1830.231 kb on + strand, within PFLU_RS08185 at 1830.231 kb on + strand, within PFLU_RS08185 at 1830.231 kb on + strand, within PFLU_RS08185 at 1830.231 kb on + strand, within PFLU_RS08185 at 1830.231 kb on + strand, within PFLU_RS08185 at 1830.231 kb on + strand, within PFLU_RS08185 at 1830.231 kb on + strand, within PFLU_RS08185 at 1830.232 kb on - strand, within PFLU_RS08185 at 1830.232 kb on - strand, within PFLU_RS08185 at 1830.232 kb on - strand, within PFLU_RS08185 at 1830.232 kb on - strand, within PFLU_RS08185 at 1830.232 kb on - strand, within PFLU_RS08185 at 1830.232 kb on - strand, within PFLU_RS08185 at 1830.232 kb on - strand, within PFLU_RS08185 at 1830.232 kb on - strand, within PFLU_RS08185 at 1830.232 kb on - strand, within PFLU_RS08185 at 1830.232 kb on - strand, within PFLU_RS08185 at 1830.232 kb on - strand, within PFLU_RS08185 at 1830.232 kb on - strand, within PFLU_RS08185 at 1830.248 kb on - strand, within PFLU_RS08185 at 1830.290 kb on + strand, within PFLU_RS08185 at 1830.290 kb on + strand, within PFLU_RS08185 at 1830.290 kb on + strand, within PFLU_RS08185 at 1830.291 kb on - strand, within PFLU_RS08185 at 1830.291 kb on - strand, within PFLU_RS08185 at 1830.291 kb on - strand, within PFLU_RS08185 at 1830.366 kb on + strand, within PFLU_RS08185 at 1830.366 kb on + strand, within PFLU_RS08185 at 1830.366 kb on + strand, within PFLU_RS08185 at 1830.366 kb on + strand, within PFLU_RS08185 at 1830.367 kb on - strand, within PFLU_RS08185 at 1830.367 kb on - strand, within PFLU_RS08185 at 1830.367 kb on - strand, within PFLU_RS08185 at 1830.367 kb on - strand, within PFLU_RS08185 at 1830.367 kb on - strand, within PFLU_RS08185 at 1830.367 kb on - strand, within PFLU_RS08185 at 1830.367 kb on - strand, within PFLU_RS08185 at 1830.369 kb on - strand, within PFLU_RS08185 at 1830.369 kb on - strand, within PFLU_RS08185 at 1830.369 kb on - strand, within PFLU_RS08185 at 1830.399 kb on + strand, within PFLU_RS08185 at 1830.400 kb on - strand, within PFLU_RS08185 at 1830.400 kb on - strand, within PFLU_RS08185 at 1830.400 kb on - strand, within PFLU_RS08185 at 1830.484 kb on + strand, within PFLU_RS08185 at 1830.524 kb on - strand, within PFLU_RS08185 at 1830.524 kb on - strand, within PFLU_RS08185 at 1830.600 kb on - strand, within PFLU_RS08185 at 1830.600 kb on - strand, within PFLU_RS08185 at 1830.621 kb on + strand, within PFLU_RS08185 at 1830.624 kb on - strand, within PFLU_RS08185 at 1830.624 kb on - strand, within PFLU_RS08185 at 1830.624 kb on - strand, within PFLU_RS08185 at 1830.656 kb on - strand, within PFLU_RS08185 at 1830.696 kb on - strand, within PFLU_RS08185 at 1830.765 kb on - strand, within PFLU_RS08185 at 1830.863 kb on - strand at 1830.923 kb on + strand at 1830.927 kb on + strand at 1831.000 kb on - strand at 1831.001 kb on + strand at 1831.189 kb on - strand at 1831.255 kb on + strand at 1831.255 kb on + strand at 1831.255 kb on + strand at 1831.255 kb on + strand at 1831.256 kb on - strand at 1831.256 kb on - strand at 1831.256 kb on - strand at 1831.256 kb on - strand at 1831.256 kb on - strand at 1831.256 kb on - strand at 1831.256 kb on - strand at 1831.256 kb on - strand at 1831.256 kb on - strand at 1831.371 kb on + strand at 1831.371 kb on + strand at 1831.371 kb on + strand at 1831.371 kb on + strand at 1831.371 kb on + strand at 1831.372 kb on - strand at 1831.372 kb on - strand at 1831.372 kb on - strand at 1831.372 kb on - strand at 1831.375 kb on + strand at 1831.375 kb on + strand at 1831.375 kb on + strand at 1831.375 kb on + strand at 1831.375 kb on + strand at 1831.375 kb on + strand at 1831.375 kb on + strand at 1831.375 kb on + strand at 1831.376 kb on - strand at 1831.376 kb on - strand at 1831.376 kb on - strand at 1831.376 kb on - strand at 1831.376 kb on - strand at 1831.376 kb on - strand at 1831.376 kb on - strand at 1831.376 kb on - strand at 1831.448 kb on - strand at 1831.526 kb on + strand, within PFLU_RS08190 at 1831.526 kb on + strand, within PFLU_RS08190 at 1831.526 kb on + strand, within PFLU_RS08190 at 1831.527 kb on - strand, within PFLU_RS08190 at 1831.527 kb on - strand, within PFLU_RS08190 at 1831.527 kb on - strand, within PFLU_RS08190 at 1831.537 kb on + strand, within PFLU_RS08190 at 1831.537 kb on + strand, within PFLU_RS08190 at 1831.537 kb on + strand, within PFLU_RS08190 at 1831.538 kb on - strand, within PFLU_RS08190 at 1831.538 kb on - strand, within PFLU_RS08190 at 1831.544 kb on + strand, within PFLU_RS08190 at 1831.545 kb on - strand, within PFLU_RS08190 at 1831.603 kb on - strand, within PFLU_RS08190 at 1831.620 kb on - strand, within PFLU_RS08190 at 1831.620 kb on - strand, within PFLU_RS08190 at 1831.625 kb on + strand, within PFLU_RS08190 at 1831.625 kb on + strand, within PFLU_RS08190 at 1831.626 kb on - strand, within PFLU_RS08190 at 1831.644 kb on + strand, within PFLU_RS08190 at 1831.644 kb on + strand, within PFLU_RS08190 at 1831.644 kb on + strand, within PFLU_RS08190 at 1831.644 kb on + strand, within PFLU_RS08190 at 1831.644 kb on + strand, within PFLU_RS08190 at 1831.666 kb on + strand, within PFLU_RS08190 at 1831.666 kb on + strand, within PFLU_RS08190 at 1831.667 kb on - strand, within PFLU_RS08190 at 1831.667 kb on - strand, within PFLU_RS08190 at 1831.667 kb on - strand, within PFLU_RS08190 at 1831.670 kb on + strand, within PFLU_RS08190 at 1831.670 kb on + strand, within PFLU_RS08190 at 1831.670 kb on + strand, within PFLU_RS08190 at 1831.670 kb on + strand, within PFLU_RS08190 at 1831.671 kb on - strand, within PFLU_RS08190 at 1831.671 kb on - strand, within PFLU_RS08190 at 1831.671 kb on - strand, within PFLU_RS08190 at 1831.671 kb on - strand, within PFLU_RS08190 at 1831.671 kb on - strand, within PFLU_RS08190 at 1831.725 kb on - strand, within PFLU_RS08190 at 1831.732 kb on - strand, within PFLU_RS08190 at 1831.797 kb on + strand, within PFLU_RS08190 at 1831.797 kb on + strand, within PFLU_RS08190 at 1831.798 kb on - strand, within PFLU_RS08190 at 1831.805 kb on + strand, within PFLU_RS08190 at 1831.805 kb on + strand, within PFLU_RS08190 at 1831.805 kb on + strand, within PFLU_RS08190 at 1831.805 kb on + strand, within PFLU_RS08190 at 1831.805 kb on + strand, within PFLU_RS08190 at 1831.805 kb on + strand, within PFLU_RS08190 at 1831.805 kb on + strand, within PFLU_RS08190 at 1831.805 kb on + strand, within PFLU_RS08190 at 1831.805 kb on + strand, within PFLU_RS08190 at 1831.805 kb on + strand, within PFLU_RS08190 at 1831.805 kb on + strand, within PFLU_RS08190 at 1831.806 kb on - strand, within PFLU_RS08190 at 1831.806 kb on - strand, within PFLU_RS08190 at 1831.806 kb on - strand, within PFLU_RS08190 at 1831.806 kb on - strand, within PFLU_RS08190 at 1831.806 kb on - strand, within PFLU_RS08190 at 1831.806 kb on - strand, within PFLU_RS08190 at 1831.806 kb on - strand, within PFLU_RS08190 at 1831.806 kb on - strand, within PFLU_RS08190
Per-strain Table
Position Strand Gene LocusTag Fraction Trisodium citrate (C) remove 1,828,803 - PFLU_RS08180 0.13 -1.4 1,828,910 + PFLU_RS08180 0.23 +1.3 1,828,915 + PFLU_RS08180 0.24 -2.6 1,828,915 + PFLU_RS08180 0.24 -1.6 1,828,916 - PFLU_RS08180 0.24 +0.5 1,828,916 - PFLU_RS08180 0.24 +1.2 1,828,916 - PFLU_RS08180 0.24 +1.5 1,828,916 - PFLU_RS08180 0.24 -0.0 1,828,935 + PFLU_RS08180 0.26 -1.3 1,828,936 - PFLU_RS08180 0.26 +1.7 1,828,958 + PFLU_RS08180 0.28 -1.7 1,828,958 + PFLU_RS08180 0.28 -3.0 1,828,959 - PFLU_RS08180 0.28 +2.7 1,829,031 - PFLU_RS08180 0.35 +1.7 1,829,051 + PFLU_RS08180 0.37 -2.5 1,829,052 - PFLU_RS08180 0.37 +2.5 1,829,059 + PFLU_RS08180 0.38 -2.4 1,829,119 - PFLU_RS08180 0.44 +0.9 1,829,119 - PFLU_RS08180 0.44 +0.6 1,829,179 + PFLU_RS08180 0.50 -1.3 1,829,349 - PFLU_RS08180 0.66 +0.9 1,829,357 + PFLU_RS08180 0.67 -0.1 1,829,563 + PFLU_RS08180 0.87 +0.2 1,829,659 - +0.9 1,829,694 + -3.4 1,829,751 - +1.5 1,829,816 + +0.9 1,829,819 + +0.4 1,829,915 + PFLU_RS08185 0.15 +1.3 1,829,915 + PFLU_RS08185 0.15 +1.2 1,829,916 - PFLU_RS08185 0.15 -0.1 1,829,933 - PFLU_RS08185 0.16 +0.9 1,829,933 - PFLU_RS08185 0.16 +3.7 1,829,978 + PFLU_RS08185 0.20 -0.0 1,829,995 + PFLU_RS08185 0.22 +0.2 1,830,016 + PFLU_RS08185 0.23 +1.2 1,830,016 + PFLU_RS08185 0.23 +2.4 1,830,017 - PFLU_RS08185 0.24 +0.1 1,830,035 + PFLU_RS08185 0.25 +1.8 1,830,037 + PFLU_RS08185 0.25 +2.3 1,830,073 + PFLU_RS08185 0.28 +2.3 1,830,073 + PFLU_RS08185 0.28 +0.6 1,830,074 - PFLU_RS08185 0.28 +3.5 1,830,110 + PFLU_RS08185 0.31 +1.5 1,830,110 + PFLU_RS08185 0.31 +1.1 1,830,192 - PFLU_RS08185 0.38 -0.8 1,830,227 + PFLU_RS08185 0.41 +0.9 1,830,231 + PFLU_RS08185 0.42 +1.4 1,830,231 + PFLU_RS08185 0.42 +1.5 1,830,231 + PFLU_RS08185 0.42 +0.2 1,830,231 + PFLU_RS08185 0.42 +1.7 1,830,231 + PFLU_RS08185 0.42 +1.9 1,830,231 + PFLU_RS08185 0.42 +1.7 1,830,231 + PFLU_RS08185 0.42 +1.7 1,830,231 + PFLU_RS08185 0.42 +0.3 1,830,231 + PFLU_RS08185 0.42 +0.1 1,830,231 + PFLU_RS08185 0.42 +0.9 1,830,231 + PFLU_RS08185 0.42 +1.5 1,830,231 + PFLU_RS08185 0.42 -1.3 1,830,231 + PFLU_RS08185 0.42 +1.7 1,830,232 - PFLU_RS08185 0.42 +2.5 1,830,232 - PFLU_RS08185 0.42 +0.8 1,830,232 - PFLU_RS08185 0.42 +1.5 1,830,232 - PFLU_RS08185 0.42 -0.8 1,830,232 - PFLU_RS08185 0.42 +1.5 1,830,232 - PFLU_RS08185 0.42 +0.7 1,830,232 - PFLU_RS08185 0.42 +1.8 1,830,232 - PFLU_RS08185 0.42 +2.1 1,830,232 - PFLU_RS08185 0.42 +3.1 1,830,232 - PFLU_RS08185 0.42 +1.9 1,830,232 - PFLU_RS08185 0.42 -0.5 1,830,232 - PFLU_RS08185 0.42 +2.4 1,830,248 - PFLU_RS08185 0.43 +0.5 1,830,290 + PFLU_RS08185 0.47 +2.5 1,830,290 + PFLU_RS08185 0.47 -1.8 1,830,290 + PFLU_RS08185 0.47 +0.7 1,830,291 - PFLU_RS08185 0.47 +1.7 1,830,291 - PFLU_RS08185 0.47 +1.2 1,830,291 - PFLU_RS08185 0.47 -1.3 1,830,366 + PFLU_RS08185 0.53 +2.5 1,830,366 + PFLU_RS08185 0.53 +2.7 1,830,366 + PFLU_RS08185 0.53 +0.7 1,830,366 + PFLU_RS08185 0.53 -2.0 1,830,367 - PFLU_RS08185 0.53 +1.6 1,830,367 - PFLU_RS08185 0.53 -0.5 1,830,367 - PFLU_RS08185 0.53 +1.3 1,830,367 - PFLU_RS08185 0.53 +2.1 1,830,367 - PFLU_RS08185 0.53 +0.7 1,830,367 - PFLU_RS08185 0.53 +1.3 1,830,367 - PFLU_RS08185 0.53 -0.1 1,830,369 - PFLU_RS08185 0.53 +0.2 1,830,369 - PFLU_RS08185 0.53 +1.1 1,830,369 - PFLU_RS08185 0.53 +1.6 1,830,399 + PFLU_RS08185 0.56 +1.7 1,830,400 - PFLU_RS08185 0.56 +0.7 1,830,400 - PFLU_RS08185 0.56 +2.3 1,830,400 - PFLU_RS08185 0.56 -0.1 1,830,484 + PFLU_RS08185 0.63 +0.2 1,830,524 - PFLU_RS08185 0.67 +2.0 1,830,524 - PFLU_RS08185 0.67 -0.1 1,830,600 - PFLU_RS08185 0.73 -0.3 1,830,600 - PFLU_RS08185 0.73 +1.5 1,830,621 + PFLU_RS08185 0.75 -0.5 1,830,624 - PFLU_RS08185 0.75 +2.5 1,830,624 - PFLU_RS08185 0.75 +0.9 1,830,624 - PFLU_RS08185 0.75 +1.6 1,830,656 - PFLU_RS08185 0.78 +2.1 1,830,696 - PFLU_RS08185 0.81 +1.5 1,830,765 - PFLU_RS08185 0.87 +0.5 1,830,863 - -1.5 1,830,923 + +0.1 1,830,927 + -0.4 1,831,000 - -0.9 1,831,001 + +1.5 1,831,189 - +2.5 1,831,255 + -0.6 1,831,255 + +0.2 1,831,255 + +0.4 1,831,255 + -2.3 1,831,256 - -0.8 1,831,256 - -0.5 1,831,256 - +0.6 1,831,256 - -0.8 1,831,256 - -2.8 1,831,256 - -0.9 1,831,256 - -0.1 1,831,256 - +1.0 1,831,256 - -0.7 1,831,371 + -0.8 1,831,371 + +0.8 1,831,371 + -0.7 1,831,371 + +0.4 1,831,371 + +0.6 1,831,372 - -1.7 1,831,372 - -1.0 1,831,372 - -0.0 1,831,372 - -1.1 1,831,375 + +0.2 1,831,375 + -1.9 1,831,375 + -1.3 1,831,375 + -0.7 1,831,375 + -0.0 1,831,375 + +0.6 1,831,375 + +0.7 1,831,375 + +0.1 1,831,376 - -1.7 1,831,376 - -0.8 1,831,376 - +0.1 1,831,376 - +0.5 1,831,376 - +0.5 1,831,376 - +0.1 1,831,376 - -0.7 1,831,376 - -0.8 1,831,448 - -0.0 1,831,526 + PFLU_RS08190 0.11 -0.8 1,831,526 + PFLU_RS08190 0.11 -0.7 1,831,526 + PFLU_RS08190 0.11 -0.1 1,831,527 - PFLU_RS08190 0.11 -0.5 1,831,527 - PFLU_RS08190 0.11 +0.1 1,831,527 - PFLU_RS08190 0.11 -0.5 1,831,537 + PFLU_RS08190 0.11 -0.1 1,831,537 + PFLU_RS08190 0.11 -0.8 1,831,537 + PFLU_RS08190 0.11 -0.1 1,831,538 - PFLU_RS08190 0.11 +0.8 1,831,538 - PFLU_RS08190 0.11 -0.5 1,831,544 + PFLU_RS08190 0.12 +0.4 1,831,545 - PFLU_RS08190 0.12 -2.0 1,831,603 - PFLU_RS08190 0.15 +0.6 1,831,620 - PFLU_RS08190 0.16 +0.2 1,831,620 - PFLU_RS08190 0.16 +0.6 1,831,625 + PFLU_RS08190 0.16 +0.0 1,831,625 + PFLU_RS08190 0.16 -2.0 1,831,626 - PFLU_RS08190 0.16 +0.4 1,831,644 + PFLU_RS08190 0.17 +0.3 1,831,644 + PFLU_RS08190 0.17 -2.3 1,831,644 + PFLU_RS08190 0.17 -2.8 1,831,644 + PFLU_RS08190 0.17 -0.6 1,831,644 + PFLU_RS08190 0.17 +0.6 1,831,666 + PFLU_RS08190 0.18 -0.9 1,831,666 + PFLU_RS08190 0.18 -2.2 1,831,667 - PFLU_RS08190 0.18 +0.7 1,831,667 - PFLU_RS08190 0.18 -0.0 1,831,667 - PFLU_RS08190 0.18 +0.0 1,831,670 + PFLU_RS08190 0.18 +0.4 1,831,670 + PFLU_RS08190 0.18 +0.5 1,831,670 + PFLU_RS08190 0.18 -0.2 1,831,670 + PFLU_RS08190 0.18 -0.1 1,831,671 - PFLU_RS08190 0.18 +0.6 1,831,671 - PFLU_RS08190 0.18 +0.5 1,831,671 - PFLU_RS08190 0.18 +0.5 1,831,671 - PFLU_RS08190 0.18 +0.5 1,831,671 - PFLU_RS08190 0.18 -0.6 1,831,725 - PFLU_RS08190 0.21 -0.4 1,831,732 - PFLU_RS08190 0.21 +2.0 1,831,797 + PFLU_RS08190 0.24 +0.6 1,831,797 + PFLU_RS08190 0.24 -0.5 1,831,798 - PFLU_RS08190 0.24 -0.4 1,831,805 + PFLU_RS08190 0.25 +0.4 1,831,805 + PFLU_RS08190 0.25 -0.8 1,831,805 + PFLU_RS08190 0.25 -0.5 1,831,805 + PFLU_RS08190 0.25 -0.2 1,831,805 + PFLU_RS08190 0.25 -0.8 1,831,805 + PFLU_RS08190 0.25 +0.9 1,831,805 + PFLU_RS08190 0.25 -0.4 1,831,805 + PFLU_RS08190 0.25 +0.0 1,831,805 + PFLU_RS08190 0.25 +2.0 1,831,805 + PFLU_RS08190 0.25 -2.5 1,831,805 + PFLU_RS08190 0.25 -1.3 1,831,806 - PFLU_RS08190 0.25 -0.2 1,831,806 - PFLU_RS08190 0.25 -1.8 1,831,806 - PFLU_RS08190 0.25 -2.4 1,831,806 - PFLU_RS08190 0.25 +1.0 1,831,806 - PFLU_RS08190 0.25 +0.4 1,831,806 - PFLU_RS08190 0.25 -2.3 1,831,806 - PFLU_RS08190 0.25 -0.8 1,831,806 - PFLU_RS08190 0.25 -2.3
Or see this region's nucleotide sequence