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Nau, Dana S.; Markowsky, George; Woodbury, Max A.; Amos, D. Bernard

A mathematical analysis of human leukocyte antigen serology. (English) Zbl 0394.92007

Math. Biosci. 40, 243-270 (1978).
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Cited in 29 Documents

MSC:

92C50 Medical applications (general)
03E75 Applications of set theory
68Q25 Analysis of algorithms and problem complexity

Keywords:

Human Leukocyte Antigen Serology; Mathematical Formalization of Concept of Specificity; Hla Reaction Matrices
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References:

[1] Aho, Alfred V.; Hopcroft, John E.; Ullman, Jeffrey D., The Design and Analysis of Computer Algorithms (1975), Addison-Wesley: Addison-Wesley Reading, Mass · Zbl 0326.68005
[2] Bernard Amos, D.; Ward, Frances E., Immunogenetics of the HL-A system, Physiological Reviews, 55, 206-246 (1975)
[3] Birkhoff, G., Lattice Theory, Vol. 25 (1967), A.M.S. Colloquium Publ: A.M.S. Colloquium Publ Providence · Zbl 0126.03801
[4] Brown, Barry W.; Davis, Henry; Goodman, Harold, On some methods of drawing inferences about antigen systems from serological data, Biometrics, 26, 701-711 (1970)
[5] Ceppellini, Ruggero, Old and new facts and speculations about transplant antigens of man, (Amos, Bernard, Progress in Immunology (1971), Academic: Academic New York), 973-1025
[6] Ciftan, Mikael, Boolean analysis of histocompatibility data and genetic mapping, Math. Biosci., 6, 487-506 (1970)
[7] Duquesnoy, R. J.; Fuller, T. C., The First HLA Workshop of the Americas, ((1975), U.S. Dept. H.E.W. Publ. No. (NIH) 76-1064), 172-222
[8] Gallie, Thomas M.; Woodbury, Max A., The mathematics of antigenicity and immunogenicity (1972), Duke University: Duke University Durham, N.C, unpublished note
[9] Leggett, Ernest W.; Moore, Dan, Classifying hard problems in the polynomial hierarchy (1977), Computer and Information Science Department, Ohio State Univ: Computer and Information Science Department, Ohio State Univ Columbus, OH 43210, unpublished
[10] Lewis, Harry R.; Papadimitriou, Christos H., The efficiency of algorithms, Sci. Amer., 238, 96-109 (Jan. 1978)
[11] Markowsky, George, The representation of posets and lattices by sets, (Research Report RC6140 (1976), IBM Thomas J. Watson Research Center: IBM Thomas J. Watson Research Center Yorktown Heights, NY), Alg. Univ., to appear · Zbl 0449.06007
[12] Nau, Dana S., Specificity covering: immunological and other applications, computational complexity and other mathematical properties, and a computer program, (A.M. Thesis. A.M. Thesis, Technical Report CS-1976-7 (1976), Computer Sci. Dept., Duke Univ: Computer Sci. Dept., Duke Univ Durham, N.C)
[13] Nau, Dana S.; Woodbury, Max A., A command processor for the determination of specificities from matrices of reactions between blood cells and antisera, Comput. and Biomedical Research, 10, 259-269 (1977)
[14] Sellwood, N. H., Detailed numerical analysis of serological data the Fifth International Histocompatibility Workshop, Tissue Antigens, 5, 367 (1975)
[15] Stockmeyer, L. J., The set basis problem is NP-complete, IBM Research Report RC5431 (1975), Yorktown Heights, N.Y.
[16] Suttle, Jimmie; Ciftan, Mikael, Group theoretical and combinatorial analysis of histocompatibility and switching algebra, Math. Biosci., 16, 315-358 (1973) · Zbl 0257.92003
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