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Table 2 Quantitative physicochemical amino acid properties

From: Directional Darwinian Selection in proteins

Category/Property

Symbol

Reference

Descriptiona

Hydrophobicity

   

   Hydropathy

h

[54]

The hydrophilic and hydrophobic inclinations of a given residue side chain in terms of transfer of free energy.

   Surrounding hydrophobicity

H p

[55]

The average sum of residue hydrophobic indices within an optimum sphere of 8 Ã… radius around a residue in protein crystals (kcal/mol).

   Thermodynamic transfer hydrophobicity

H t

[56]

The experimental values of Noazaki & Tanford [57] combined with values of Zimmerman et al. [58] adjusted to the same scale (kcal/mol).

Ionization Constants

   

   Equilibrium constant

pK'

[56]

The ionizable character of the carboxyl group (pH units).

   Isoelectric point

pH i

[58]

The isoionic point of the free amino acid, including the ionizable character of the entire residue (pH units).

Molecular Size & Composition

  

   Bulkiness

B l

[58]

The ratio of the side chain volume to length (i.e., the average cross section of the chain) (Ã…2).

   Composition

c

[59]

The atomic weight ratio of the non-carbon elements in the end groups or rings to carbons in the side chain.

   Molecular weight

M w

[60]

The mass of the atoms constituting the residue.

   Partial specific volume

V 0

[61]

The reciprocal of density (m3 mol-1 × 10-6).

Non-bonded Energy

   

   Long range energy

E l

[62]

The energy between two amino acids separated further than 10 residues (i.e., due to electrostatic and Van der Waals forces) (kcal/mol).

   Short and medium range energy

E sm

[62]

The sum of the energy between 1) main chain atoms of a residue and its own side chain atoms, and 2) two residues located within 10 residues along the chain (kcal/mol).

   Total non-bonded energy

E t

[62]

Sum of average short, medium, and long range non-bonded energies (kcal/mol).

Polarity & Polarizability

  

   Polar requirement

P r

[63]

The slope of the line regressing log R M and the mol fraction of water in the pyrimidine-water solvent (R M = 1/R F - 1, where R F is the chromatographic index [58]).

   Polarity

p

[59]

The average of P r and P A (P A = 13.66 - 14.85R F ).

   Refractive index

μ

[55]

The measure of the polarizability of a residue (i.e., the reciprocal measure of its electrical stability under an external field).

Secondary Structure

   

   Alpha-helical tendency

P α

[64]

The average intrinsic property of a residue to adopt an alpha-helical conformation.

   Beta-structure tendency

P β

[64]

The average intrinsic property of a residue to adopt a beta-sheet conformation.

   Coil tendency

P c

[65]

A measure of the tendency that a particular residue will be found in a coil secondary structure.

   Helical contact area

C a

[66]

The maximum area loss that could occur in going from an isolated α-helix to a fully buried environment in the complex (Å2).

   Turn tendency

P t

[64]

The average intrinsic property of a residue to adopt a beta-turn conformation.

Solvent Accessibility

   

   Solvent accessibility reduction ratio

R a

[67]

The ratio of solvent accessibility: the solvent accessibility of a residue in a hypothetically extanded state over its accessibility in a native folded protein.

Tertiary Structure

   

   Average number of surrounding residues

N a

[67]

The average number of residues surrounding a residue within the effective distance of influence.

   Buriedness

B r

[61]

The average propensity of a residue to be found in the interior of a protein.

   Compressibility

K 0

[61]

The relative increase in the volume of the system per unit decrease in pressure (m3 mol-1 Pa-1 × 10-15).

   Mean rms fluctuational displacement

F

[68]

The relationship between the average amount of root-mean-square displacement of a residue and its distance from the centroid of the protein (Ã…).

  1. a Properties without defined units are dimensionless.
  2. Twenty-five amino acid properties representative of the breadth of amino acid property space.