Beta barrel

A beta barrel is a beta-sheet composed of tandem repeats that twists and coils to form a closed toroidal structure in which the first strand is bonded to the last strand (hydrogen bond). Beta-strands in many beta-barrels are arranged in an antiparallel fashion. Beta barrel structures are named for resemblance to the barrels used to contain liquids. Most of them are water-soluble proteins and frequently bind hydrophobic ligands in the barrel center, as in lipocalins. Others span cell membranes and commonly found in porins. Porin-like barrel structures are encoded by as many as 2–3% of the genes in Gram-negative bacteria.[1]

18-strand β barrel. Bacterial sucrose-specific porin from S. typhimurium. It sits in a membrane and allows sucrose to diffuse through. (PDB: 1A0S​)
8-strand β barrel. Human retinol-binding protein bound to retinol (vitamin A) in blue. (PDB: 1RBP​)

In many cases, the strands contain alternating polar and non-polar (hydrophilic and hydrophobic) amino acids, so that the hydrophobic residues are oriented into the interior of the barrel to form a hydrophobic core and the polar residues are oriented toward the outside of the barrel on the solvent-exposed surface. Porins and other membrane proteins containing beta barrels reverse this pattern, with hydrophobic residues oriented toward the exterior where they contact the surrounding lipids, and hydrophilic residues oriented toward the aqueous interior pore.

All beta-barrels can be classified in terms of two integer parameters: the number of strands in the beta-sheet, n, and the "shear number", S, a measure of the stagger of the strands in the beta-sheet.[2] These two parameters (n and S) are related to the inclination angle of the beta strands relative to the axis of the barrel.[3][4][5]

Types
A mouse major urinary protein. The barrel forms a binding pocket for the mouse pheromone, 2-sec-butyl-4,5-dihydrothiazole.[6] (PDB: 1MUP​)

Up-and-down

Up-and-down barrels are the simplest barrel topology and consist of a series of beta strands, each of which is hydrogen-bonded to the strands immediately before and after it in the primary sequence.

Jelly roll

The jelly roll fold or barrel, also known as the Swiss roll, typically comprises eight beta strands arranged in two four-stranded sheets. Adjacent strands along the sequence alternate between the two sheets, such that they are "wrapped" in three dimensions to form a barrel shape.

Examples

Porins
Main article: Porin (protein)

Sixteen- or eighteen-stranded up-and-down beta barrel structures occur in porins, which function as transporters for ions and small molecules that cannot diffuse across a cellular membrane. Such structures appear in the outer membranes of gram-negative bacteria, chloroplasts, and mitochondria. The central pore of the protein, sometimes known as the eyelet, is lined with charged residues arranged so that the positive and negative charges appear on opposite sides of the pore. A long loop between two beta strands partially occludes the central channel; the exact size and conformation of the loop helps in discriminating between molecules passing through the transporter.

Preprotein translocases

Beta barrels also function within endosymbiont derived organelles such as mitochondria and chloroplasts to transport proteins.[7] Within the mitochondrion two complexes exist with beta barrels serving as the pore forming subunit, Tom40 of the Translocase of the outer membrane, and Sam50 of the Sorting and assembly machinery. The chloroplast also has functionally similar beta barrel containing complexes, the best characterised of which is Toc75 of the TOC complex (Translocon at the outer envelope membrane of chloroplasts).

Lipocalins
Main article: Lipocalin

Lipocalins are typically eight-stranded up-and-down beta barrel proteins that are secreted into the extracellular environment. A distinctive feature is their ability to bind and transport small hydrophobic molecules in the barrel calyx. Examples of the family include retinol binding proteins (RBPs) and major urinary proteins (Mups). RBP binds and transports retinol (vitamin A), while Mups bind a number of small, organic pheromones, including 2-sec-butyl-4,5-dihydrothiazole (abbreviated as SBT or DHT), 6-hydroxy-6-methyl-3-heptanone (HMH) and 2,3 dihydro-exo-brevicomin (DHB).[8][9][10]

Shear number
Front view
Right view (90° rotation)
Back view (180° rotation)
Left view (270° rotation)
Hydrogen bonding in the beta sheet slabs of GFP. The residues are labeled with residue number and one-letter amino acid code. Only the backbone atoms of the beta barrel are shown from each of angle of the barrel coloured from blue (N-terminus) to red (C-terminus). (PDB: 1RRX​)

A piece of paper can be formed into a cylinder by bringing opposite sides together. The two edges come together to form a line. Shear can be created by sliding the two edges parallel to that line. Likewise, a beta barrel can be formed by bringing the edges of a beta sheet together to form a cylinder. If those edges are displaced, shear is created.

A similar definition is found in geology, where shear refers to a displacement within rock perpendicular to the rock surface. In physics, the amount of displacement is referred to as shear strain, which has units of length. For shear number in barrels, displacement is measured in units of amino acid residues.

The determination of shear number requires the assumption that each amino acid in one strand of a beta sheet is adjacent to just one amino acid in the neighboring strand (this assumption may not hold if, for example, a beta bulge is present).[11] To illustrate, S will be calculated for green fluorescent protein. This protein was chosen because the beta barrel contains both parallel and antiparallel strands. To determine which amino acid residues are adjacent in the beta strands, the location of hydrogen bonds is determined.

Table for calculating the shear number. The strand order in this barrel (GFP) is: 1 6 5 4 9 8 7 10 11 3 2.

The inter-strand hydrogen bonds can be summarised in a table. Each column contains the residues in one strand (strand 1 is repeated in the last column). The arrows indicate the hydrogen bonds that were identified in the figures. The relative direction of each strand is indicated by the "+" and "-" at the bottom of the table. Except for strands 1 and 6, all strands are antiparallel. The parallel interaction between strands 1 and 6 accounts for the different appearance of the hydrogen bonding pattern. (Some arrows are missing because not all of the hydrogen bonds expected were identified. Non-standard amino acids are indicated with "?") The side chains that point to the outside of the barrel are in bold.

If no shear were present in this barrel, then residue 12 V, say, in strand 1 should end up in the last strand at the same level as it started at. However, because of shear, 12 V is not at the same level: it is 14 residues higher than it started at, so its shear number, S, is 14.

Dynamical features

Beta-barrels in proteins may carry out low-frequency breathing-like motion as observed by the Raman spectroscopy[12] and analyzed with the quasi-continuum model.[13] For more about the low-frequency collective motions in biomacromolecules and its biological function, see low-frequency collective motion in proteins and DNA.

gollark: Oh, it's one of those evil `fail`-using things?
gollark: The world shall burn in nuclear fire.
gollark: `some code` and `other code` are placeholders, I mean.
gollark: `some` and `other` aren't functions taking code, just placeholders.
gollark: Not exactly.

References
  1. Wimley WC (August 2003). "The versatile beta-barrel membrane protein". Current Opinion in Structural Biology. 13 (4): 404–11. doi:10.1016/S0959-440X(03)00099-X. PMID 12948769.
  2. Murzin AG, Lesk AM, Chothia C (March 1994). "Principles determining the structure of beta-sheet barrels in proteins. I. A theoretical analysis". Journal of Molecular Biology. 236 (5): 1369–81. doi:10.1016/0022-2836(94)90064-7. PMID 8126726.
  3. Murzin AG, Lesk AM, Chothia C (March 1994). "Principles determining the structure of beta-sheet barrels in proteins. II. The observed structures". Journal of Molecular Biology. 236 (5): 1382–400. doi:10.1016/0022-2836(94)90065-5. PMID 8126727.
  4. Liu WM (January 1998). "Shear numbers of protein beta-barrels: definition refinements and statistics". Journal of Molecular Biology. 275 (4): 541–5. doi:10.1006/jmbi.1997.1501. PMID 9466929.
  5. Hayward S, Milner-White EJ (October 2017). "Geometrical principles of homomeric β-barrels and β-helices: Application to modeling amyloid protofilaments" (PDF). Proteins. 85 (10): 1866–1881. doi:10.1002/prot.25341. PMID 28646497.
  6. Böcskei Z, Groom CR, Flower DR, Wright CE, Phillips SE, Cavaggioni A, Findlay JB, North AC (November 1992). "Pheromone binding to two rodent urinary proteins revealed by X-ray crystallography". Nature. 360 (6400): 186–8. doi:10.1038/360186a0. PMID 1279439.
  7. Schleiff E, Soll J (November 2005). "Membrane protein insertion: mixing eukaryotic and prokaryotic concepts". EMBO Reports. 6 (11): 1023–7. doi:10.1038/sj.embor.7400563. PMC 1371041. PMID 16264426.
  8. Halpern M, Martínez-Marcos A (June 2003). "Structure and function of the vomeronasal system: an update". Progress in Neurobiology. 70 (3): 245–318. doi:10.1016/S0301-0082(03)00103-5. PMID 12951145. S2CID 31122845.
  9. Timm DE, Baker LJ, Mueller H, Zidek L, Novotny MV (May 2001). "Structural basis of pheromone binding to mouse major urinary protein (MUP-I)". Protein Science. 10 (5): 997–1004. doi:10.1110/ps.52201. PMC 2374202. PMID 11316880.
  10. Armstrong SD, Robertson DH, Cheetham SA, Hurst JL, Beynon RJ (October 2005). "Structural and functional differences in isoforms of mouse major urinary proteins: a male-specific protein that preferentially binds a male pheromone". The Biochemical Journal. 391 (Pt 2): 343–50. doi:10.1042/BJ20050404. PMC 1276933. PMID 15934926.
  11. Nagano N, Hutchinson EG, Thornton JM (October 1999). "Barrel structures in proteins: automatic identification and classification including a sequence analysis of TIM barrels". Protein Science. 8 (10): 2072–84. doi:10.1110/ps.8.10.2072. PMC 2144152. PMID 10548053.
  12. Painter PC, Mosher LE, Rhoads C (July 1982). "Low-frequency modes in the Raman spectra of proteins". Biopolymers. 21 (7): 1469–72. doi:10.1002/bip.360210715. PMID 7115900.
  13. Chou, K.C. (1985-08-01). "Low-frequency motions in protein molecules. Beta-sheet and beta-barrel". Biophysical Journal. 48 (2): 289–297. doi:10.1016/S0006-3495(85)83782-6. ISSN 0006-3495. PMC 1329320. PMID 4052563.

Further reading
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