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GRAVY

Calculate GRAVY (Grand Average of Hydropathy). Positive = hydrophobic, negative = hydrophilic.

What is GRAVY?

GRAVY (Grand Average of Hydropathy) is a fundamental metric for quantifying the overall hydrophobicity or hydrophilicity of a protein sequence.

Introduced by Jack Kyte and Russell Doolittle in their seminal 1982 paper, this index has become one of the most widely used protein parameters in protein science.

The GRAVY score provides rapid insight into a protein's solubility, membrane association, and folding behavior. A positive value indicates a hydrophobic protein, while a negative value indicates a hydrophilic protein.

How does GRAVY work?

GRAVY is calculated by summing the hydropathy values of all amino acids in a sequence and dividing by the sequence length:

GRAVY=1Ni=1NhiGRAVY = \frac{1}{N} \sum_{i=1}^{N} h_i

Where NN is the total number of amino acids and hih_i is the hydropathy value of amino acid ii. This simple arithmetic mean yields a single value that characterizes the entire protein's hydropathic character.

The Kyte-Doolittle hydropathy scale

The calculation uses experimentally derived hydropathy values for each amino acid. These values, ranging from +4.5 (most hydrophobic) to -4.5 (most hydrophilic), were determined by combining water-vapor transfer free energies with solvent accessibility data from crystal structures.

Amino AcidValueAmino AcidValue
Ile (I)4.5Gly (G)-0.4
Val (V)4.2Ser (S)-0.8
Leu (L)3.8Trp (W)-0.9
Phe (F)2.8Tyr (Y)-1.3
Cys (C)2.5Pro (P)-1.6
Met (M)1.9His (H)-3.2
Ala (A)1.8Glu (E)-3.5
Thr (T)-0.7Gln (Q)-3.5
Asn (N)-3.5Asp (D)-3.5
Lys (K)-3.9Arg (R)-4.5

Interpreting the GRAVY results

The GRAVY score directly correlates with protein solubility and membrane interaction potential:

  • GRAVY < -0.5: Highly hydrophilic, typically soluble cytoplasmic or secreted proteins
  • GRAVY -0.5 to 0.5: Moderate hydropathy, common for globular proteins
  • GRAVY > 0.5: Hydrophobic, potential membrane association
  • GRAVY > 1.0: Strongly hydrophobic, often insoluble or membrane-embedded

Most soluble proteins have negative GRAVY scores. Transmembrane proteins and membrane-associated domains typically show positive values due to their enrichment in hydrophobic residues.