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What a hydropathy plot shows

Each residue is assigned a hydropathy value from a published scale, and a sliding window averages those values along the sequence. The result is a profile: peaks where a run of hydrophobic residues sits, troughs where the chain is polar or charged.

The reason to plot rather than to average is that the average of a strongly hydrophobic block and a strongly hydrophilic one is close to zero, which describes neither. A peptide like that behaves like a detergent, not like a neutral one.

Choosing a window size

The window is a smoothing parameter. A window of one shows the raw per-residue values, which is noisy. A window of nineteen, the classic setting for finding membrane-spanning helices, smooths so heavily that short features disappear.

For peptides of ten to fifty residues, a window of five to nine is usually right: long enough to suppress single-residue noise, short enough to keep a five-residue hydrophobic patch visible.

The three scales and when each is appropriate

Kyte-Doolittle is the default and the most widely cited. It was derived to identify buried and membrane-spanning regions, so it emphasises the interior-versus-exterior distinction and gives the largest spread between the extremes.

Hopp-Woods is a hydrophilicity scale, built to predict antigenic sites, so its sign convention is inverted relative to the other two and its peaks mark surface-exposed regions. Eisenberg's consensus scale averages several earlier scales and is the usual choice for helical wheel and amphipathicity analysis.

  • •Kyte-Doolittle: general purpose, membrane and buried-region prediction.
  • •Hopp-Woods: surface exposure and antigenicity. Higher means more hydrophilic.
  • •Eisenberg: consensus values, best suited to amphipathicity and helical analysis.

Reading the profile for practical decisions

A profile that stays below zero throughout belongs to a peptide that will dissolve in water. A profile with a sustained peak above about plus two over five or more residues belongs to one that probably will not, and the peak marks the region responsible.

An alternating profile, where hydrophobic and hydrophilic regions swap every three or four residues, indicates amphipathicity: a helix with one face hydrophobic and the other polar. Those peptides tend to be surface-active, prone to aggregating at interfaces, and are common among antimicrobial sequences.

How the hydropathy profile is calculated

A per-residue lookup followed by a centred moving average. The profile is shorter than the sequence by one window, because the window cannot be centred on residues at either end.

score(i) = mean of scale values over positions i-h .. i+h
           where h = floor(window / 2)

GRAVY    = mean scale value over the whole sequence
  1. Assign a value to each residue. Straight lookup from the selected scale. Non-standard characters are excluded before the lookup so they cannot contribute a zero and drag the average toward neutral.
  2. Slide a centred window. Each plotted point is the mean of the values in a window centred on that residue. Odd window sizes centre exactly; the tool uses odd sizes for that reason.
  3. Trim the ends. The first and last few residues have no full window around them and are omitted rather than being averaged over a partial window, which would bias them toward whichever end they are near.
  4. Identify the extremes. The most hydrophobic and most hydrophilic windows are reported with their residue ranges, so the regions can be read off directly rather than eyeballed from the chart.
  5. Report GRAVY separately. The whole-sequence mean, unwindowed. It is the number to quote; the profile is the number to reason with.

What this method cannot tell you

  • •Hydropathy scales are empirical and disagree with each other. A feature that appears on one scale and not another is a property of the scales, not necessarily of the peptide.
  • •The window trims the sequence ends, so a hydrophobic patch at the very N or C terminus is under-represented.
  • •It assumes a linear chain. Cyclisation, disulfide constraints and non-standard residues are not modelled.
  • •The plot predicts bulk behaviour, not structure. It does not tell you whether a hydrophobic stretch is actually buried in a real conformation.

Where the numbers come from

Hydrophobicity plotter: frequently asked questions

A graph of hydrophobicity along a sequence, produced by assigning each residue a value from a published scale and averaging over a sliding window.

Peaks mark hydrophobic regions and troughs mark hydrophilic ones, so the plot shows where along the chain the character changes.

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