The protein families contain proteins with identical primary, secondary, and tertiary structures is an incorrect statement. They contain homologous proteins that share evolutionary history.
A protein family is a collection of proteins that have similarities in sequences or structural characteristics and have related functions, which indicates a shared evolutionary history. Within an organism, protein families contain proteins that are related but not identical. Proteins belonging to the same family share similar amino acid sequences, making them similar but not having identical structures and functions. These families are collections of homologous proteins, meaning that their three-dimensional structures and amino acid sequences are comparable. However, they are not the same.
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