The protein primary structure specifies the ordered amino acid residues of each polypeptide chain, joined through peptide bonds. A chain is conventionally written from its N-terminus to its C-terminus. In the broader chemical sense, a complete protein primary structure also specifies covalent bond crosslinks between chain positions, including protein disulfide bonds; a bare sequence string leaves that information unstated. This describes chemical connectivity rather than the spatial arrangement of protein tertiary structure or protein quaternary structure. See IUPAC Gold Book: primary structure, sequence and chain crosslinking and IUPAC-IUB, 3AA-16: writing residue sequences from the amino end. Some conventions reserve protein primary structure for sequence alone and call the complete chemical connectivity the covalent structure; the distinction should be stated when comparing descriptions. See IUPAC-IUB polypeptide-conformation recommendations, section 6.1: the narrower sequence-only convention.
Figure 1.
Equal amino acid composition and equal termini do not determine protein primary structure
. Original toy polypeptide chains MAGAMG and MMAAGG, read from the N-terminus to the C-terminus. Each contains two methionine, two alanine and two glycine amino acid residues, but their internal order differs. Letters denote chain positions rather than free amino acids; lines denote peptide bonds. Neither string is identified as a natural protein or a measured sequence. Details.
In this toy example M denotes methionine, A alanine and G glycine. Both polypeptide chains have six amino acid residues, five peptide bonds, an M at the N-terminus and a G at the C-terminus. Their amino acid composition is identical, yet position 2 is A in MAGAMG and M in MMAAGG. There are distinct orders with these counts, a multinomial coefficient. Even fixing those two end residues leaves orders. The counts constrain the answer without determining it.
For multiple polypeptide chains, record each sequence separately and specify any protein disulfide bonds between cysteine positions. Mature insulin, for example, has an A chain of 21 amino acid residues and a B chain of 30 amino acid residues. Their combined 51 residues give peptide bonds, rather than the 50 of one unbroken 51-residue chain. See Cooper, The Cell: insulin's two chains and cysteine crosslinks, figure 2.16. A protein disulfide bond joins side groups; it does not concatenate the C-terminus of one chain with the N-terminus of another. The three insulin protein disulfide bonds connect A6 to A11 within the A chain, and A7 to B7 and A20 to B19 between chains. Positions are numbered from each chain's N-terminus. See Replacement of the interchain disulfide bridge-forming amino acids A7 and B7 by glutamate impairs the structure and activity of insulin: native disulfide positions.
Why keep this information? Protein primary structure lets us distinguish changes of chemical identity from changes of shape, and compare corresponding positions between proteins. Protein folding can bring distant amino acid residues together at a protein binding site while preserving their sequence. The attractive idea is that a readable linear record can constrain a complicated three-dimensional object; it is not, by itself, a guarantee of a unique fold in every environment. See protein folding and the ribonuclease A refolding experiment. Merely bending an intact chain preserves its protein primary structure; hydrolysis of a peptide bond, or changing which positions a protein disulfide bond connects, changes its chemical connectivity.

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Protein primary structure refers to the unique sequence of amino acids that make up a protein. This sequence is determined by the genetic code and is crucial because it ultimately dictates how the protein will fold and function. Amino acids are linked together by peptide bonds to form a polypeptide chain, and the order of these amino acids is specified by the mRNA sequence during translation.