Abstract: The present invention provides crystals including amino acids 1-7 of SEQ ID NO:1 and a Fab fragment of 12A11, 12B4, 10D5 or 3D6, as well as of amino acids 1-40 of SEQ ID NO:1 and a Fab fragment of 12A11 or 3D6, as well as methods for preparing the crystals. The present invention also provides a computer implemented method for analyzing binding of a candidate antibody fragment to a peptide including an epitope of amino acids 1-7 of SEQ ID NO:1, a method for identifying an antibody fragment that can mimic the Fab fragment of 12A11, a method for identifying an antibody fragment that can mimic the Fab fragment of 3D6, a method for identifying a candidate antibody fragment that binds to a peptide including an epitope of amino acids 1-7 of SEQ ID NO:1, and a method for designing a humanized antibody that binds to a peptide comprising an epitope of amino acids 1-7 of SEQ ID NO:1.

Abstract: A method and apparatus for comparing biological sequences from a known source of sequences, with a subject (query) sequence. The apparatus takes as input a set of target similarity levels (such as evolutionary distances in units of PAM), and finds all fragments of known sequences that are similar to the subject sequence at each target similarity level, and are long enough to be statistically significant. The invention device filters out fragments from the known sequences that are too short, or have a lower average similarity to the subject sequence than is required by each target similarity level. The subject sequence is then compared only to the remaining known sequences to find the best matches. The filtering member divides the subject sequence into overlapping blocks, each block being sufficiently large to contain a minimum-length alignment from a known sequence.