Ramachandran Plot
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In
biochemistry Biochemistry or biological chemistry is the study of chemical processes within and relating to living organisms. A sub-discipline of both chemistry and biology, biochemistry may be divided into three fields: structural biology, enzymology and ...
, a Ramachandran plot (also known as a Rama plot, a Ramachandran diagram or a plot), originally developed in 1963 by G. N. Ramachandran, C. Ramakrishnan, and
V. Sasisekharan Viswanathan Sasisekharan (born 1933) is an Indian biophysicist known for his work on the structure and conformation of biopolymers. He introduced the use of torsion angles to describe polypeptide and protein conformation, a central principle of ...
, is a way to visualize energetically allowed regions for backbone
dihedral angle A dihedral angle is the angle between two intersecting planes or half-planes. In chemistry, it is the clockwise angle between half-planes through two sets of three atoms, having two atoms in common. In solid geometry, it is defined as the uni ...
s ψ against φ of
amino acid Amino acids are organic compounds that contain both amino and carboxylic acid functional groups. Although hundreds of amino acids exist in nature, by far the most important are the alpha-amino acids, which comprise proteins. Only 22 alpha am ...
residues in
protein structure Protein structure is the three-dimensional arrangement of atoms in an amino acid-chain molecule. Proteins are polymers specifically polypeptides formed from sequences of amino acids, the monomers of the polymer. A single amino acid monomer ma ...
. The figure on the left illustrates the definition of the φ and ψ backbone dihedral angles (called φ and φ' by Ramachandran). The ω angle at the peptide bond is normally 180°, since the partial-double-bond character keeps the
peptide Peptides (, ) are short chains of amino acids linked by peptide bonds. Long chains of amino acids are called proteins. Chains of fewer than twenty amino acids are called oligopeptides, and include dipeptides, tripeptides, and tetrapeptides. A ...
planar. The figure in the top right shows the allowed φ,ψ backbone conformational regions from the Ramachandran et al. 1963 and 1968 hard-sphere calculations: full radius in solid outline, reduced radius in dashed, and relaxed tau (N-Cα-C) angle in dotted lines. Because
dihedral angle A dihedral angle is the angle between two intersecting planes or half-planes. In chemistry, it is the clockwise angle between half-planes through two sets of three atoms, having two atoms in common. In solid geometry, it is defined as the uni ...
values are circular and 0° is the same as 360°, the edges of the Ramachandran plot "wrap" right-to-left and bottom-to-top. For instance, the small strip of allowed values along the lower-left edge of the plot are a continuation of the large, extended-chain region at upper left.


Uses

A Ramachandran plot can be used in two somewhat different ways. One is to show in theory which values, or conformations, of the ψ and φ angles are possible for an amino-acid residue in a protein (as at top right). A second is to show the empirical distribution of datapoints observed in a single structure (as at right, here) in usage for structure validation, or else in a database of many structures (as in the lower 3 plots at left). Either case is usually shown against outlines for the theoretically favored regions.


Amino-acid preferences

One might expect that larger side chains would result in more restrictions and consequently a smaller allowable region in the Ramachandran plot, but the effect of side chains is small. In practice, the major effect seen is that of the presence or absence of the methylene group at Cβ.
Glycine Glycine (symbol Gly or G; ) is an amino acid that has a single hydrogen atom as its side chain. It is the simplest stable amino acid (carbamic acid is unstable), with the chemical formula NH2‐ CH2‐ COOH. Glycine is one of the proteinogeni ...
has only a hydrogen atom for its side chain, with a much smaller
van der Waals radius The van der Waals radius, ''r'', of an atom is the radius of an imaginary hard sphere representing the distance of closest approach for another atom. It is named after Johannes Diderik van der Waals, winner of the 1910 Nobel Prize in Physics, ...
than the CH3, CH2, or CH group that starts the side chain of all other amino acids. Hence it is least restricted, and this is apparent in the Ramachandran plot for glycine (see Gly plot in
gallery Gallery or The Gallery may refer to: Arts, entertainment, and media * Art gallery ** Contemporary art gallery Music * Gallery (band), an American soft rock band of the 1970s Albums * ''Gallery'' (Elaiza album), 2014 album * ''Gallery'' (Gr ...
) for which the allowable area is considerably larger. In contrast, the Ramachandran plot for
proline Proline (symbol Pro or P) is an organic acid classed as a proteinogenic amino acid (used in the biosynthesis of proteins), although it does not contain the amino group but is rather a secondary amine. The secondary amine nitrogen is in the prot ...
, with its 5-membered-ring side chain connecting Cα to backbone N, shows a limited number of possible combinations of ψ and φ (see Pro plot in
gallery Gallery or The Gallery may refer to: Arts, entertainment, and media * Art gallery ** Contemporary art gallery Music * Gallery (band), an American soft rock band of the 1970s Albums * ''Gallery'' (Elaiza album), 2014 album * ''Gallery'' (Gr ...
). The residue preceding proline ("pre-proline") also has limited combinations compared to the general case.


More recent updates

The first Ramachandran plot was calculated just after the first protein structure at atomic resolution was determined (
myoglobin Myoglobin (symbol Mb or MB) is an iron- and oxygen-binding protein found in the cardiac and skeletal muscle tissue of vertebrates in general and in almost all mammals. Myoglobin is distantly related to hemoglobin. Compared to hemoglobin, myoglobi ...
, in 1960), although the conclusions were based on small-molecule crystallography of short peptides. Now, many decades later, there are tens of thousands of high-resolution protein structures determined by X-ray
crystallography Crystallography is the experimental science of determining the arrangement of atoms in crystalline solids. Crystallography is a fundamental subject in the fields of materials science and solid-state physics (condensed matter physics). The wor ...
and deposited in the Protein Data Bank (PDB). Many studies have taken advantage of this data to produce more detailed and accurate φ,ψ plots (e.g., Morris ''et al.'' 1992; Kleywegt & Jones 1996; Hooft ''et al.'' 1997; Hovmöller ''et al.'' 2002; Lovell ''et al.'' 2003; Anderson ''et al.'' 2005''. Ting ''et al.'' 2010). The four figures below show the datapoints from a large set of high-resolution structures and contours for favored and for allowed conformational regions for the general case (all amino acids except Gly, Pro, and pre-Pro), for Gly, and for Pro. The most common regions are labeled: α for
α helix The alpha helix (α-helix) is a common motif in the secondary structure of proteins and is a right hand-helix conformation in which every backbone N−H group hydrogen bonds to the backbone C=O group of the amino acid located four residues ...
, Lα for left-handed helix, β for
β-sheet The beta sheet, (β-sheet) (also β-pleated sheet) is a common motif of the regular protein secondary structure. Beta sheets consist of beta strands (β-strands) connected laterally by at least two or three backbone hydrogen bonds, forming a gen ...
, and ppII for polyproline II. Such a clustering is alternatively described in the ABEGO system, where each letter stands for α (and 310) helix, right-handed β sheets (and extended structures), left-handed helixes, left-handed sheets, and finally unplottable cis peptide bonds sometimes seen with proline; it has been used in the classification of motifs and more recently for designing proteins. While the Ramachandran plot has been a textbook resource for explaining the structural behavior of peptide bond, an exhaustive exploration of how a peptide behaves in every region of the Ramachandran plot was only recently published (Mannige 2017). The
Molecular Biophysics Molecular biophysics is a rapidly evolving interdisciplinary area of research that combines concepts in physics, chemistry, engineering, mathematics and biology. It seeks to understand biomolecular systems and explain biological function in terms ...
Unit at Indian Institute of Science celebrated 50 years of Ramachandran Map by organizing International Conference on Biomolecular Forms and Functions from 8–11 January 2013.


Related conventions

One can also plot the dihedral angles in
polysaccharide Polysaccharides (), or polycarbohydrates, are the most abundant carbohydrates found in food. They are long chain polymeric carbohydrates composed of monosaccharide units bound together by glycosidic linkages. This carbohydrate can react with wa ...
s (e.g. wit
CARP
.


Gallery

Image:Ramachandran plot general 100K.jpg, Ramachandran plot for the general case; data from Lovell 2003 Image:Ramachandran plot Gly.jpg, Ramachandran plot for Glycine Image:Ramachandran plot Pro.jpg, Ramachandran plot for Proline Image:Ramachandran plot pre-Pro.png, Ramachandran plot for pre-Proline


Software


Web-based Structural Analysis tool for any uploaded PDB file, producing Ramachandran plots, computing dihedral angles and extracting sequence from PDBMolProbity web service that produces Ramachandran plots and other validation of any PDB-format fileSAVES
(Structure Analysis and Verification) — uses WHATCHECK, PROCHECK, and does its own internal Ramachandran Plot *
STING Sting may refer to: * Stinger or sting, a structure of an animal to inject venom, or the injury produced by a stinger * Irritating hairs or prickles of a stinging plant, or the plant itself Fictional characters and entities * Sting (Middle-eart ...
*
Pymol PyMOL is an open source but proprietary molecular visualization system created by Warren Lyford DeLano. It was commercialized initially by DeLano Scientific LLC, which was a private software company dedicated to creating useful tools that becom ...
with the DynoPlot extension * VMD, distributed with dynamic Ramachandran plot plugin *
WHAT CHECK What or WHAT may refer to: * What, an interrogative pronoun and adverb * "What?", one of the Five Ws used in journalism Film and television * ''What!'' (film) or ''The Whip and the Body'', a 1963 Italian film directed by Mario Bava * '' Wha ...
, the stand-alone validation routines from the
WHAT IF software WHAT IF is a computer program used in a wide variety of computational (''in silico'') macromolecular structure research fields. The software provides a flexible environment to display, manipulate, and analyze small and large molecules, proteins, ...
*
UCSF Chimera UCSF Chimera (or simply Chimera) is an extensible program for interactive visualization and analysis of molecular structures and related data, including density maps, supramolecular assemblies, sequence alignments, docking results, trajectories, a ...
, found under the Model Panel. *
Sirius Sirius is the list of brightest stars, brightest star in the night sky. Its name is derived from the Ancient Greek language, Greek word , or , meaning 'glowing' or 'scorching'. The star is designated α Canis Majoris, Latinisation ...

Swiss PDB ViewerTALOSZeus molecular viewer
— found under "Tools" menu, high quality plots with regional contours
ProcheckNeighbor-Dependent and Neighbor-Independent Ramachandran Probability Distributions
ref name="ndrd"/> *See also PDB for a list of similar software.


References


Further reading

* , available on-line a
Anatax
*


External links

{{Commons category, Ramachandran plot
DynoPlot in PyMOL wiki
* ttp://www.fos.su.se/~svenh/index.html Link to Ramachandran plot calculated from protein structures determined by X-ray crystallography compared to the original Ramachan.br>''Proteopedia'' Ramachandran Plot
Biochemistry methods Plots (graphics)