About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

Katrnoška, František ; Křížek, Michal
Genetický kód a teorie monoidů aneb 50 let od objevu struktury DNA. (Czech) [Genetic code and the theory of monoids or 50 years from the discovery of DNA structure]. Pokroky matematiky, fyziky a astronomie, vol. 48 (2003), issue 3, pp. 207-222
MSC: 20M32
References:
[1] Adámek, J.: Kódování. SNTL, Praha 1982.
[2] Beadle, G. W.: The Role of the Nucleins in Heredity. Baltimore 1957.
[3] Beier, W.: Biophysik. VEB, Leipzig 1960.
[4] Berlekamp, R. E.: Algebraic Coding Theory. McGraw-Hill, New York 1968. MR 0238597 | Zbl 0988.94521
[5] Bernstein, S. N.: Demonstration mathématique de la loi d’hérédite de Mendel. C. R. Acad. Sci. Paris 177 (1923), 528–531.
[6] Bernstein, S. N.: Principe de stationarite et generalisation de la loi de Mendel. C. R. Acad. Sci. Paris 177 (1923), 581–584.
[7] Birkhoff, G., Bartee, T. C.: Modern Applied Algebra. McGraw-Hill, New YorkL̄ondon-Toronto 1970. Zbl 0215.31302
[8] Bressler, S. J.: Molekuljarnaja biologija. Izd. Nauka, Leningrad 1973.
[9] Clifford, A. H., Preston, G.: The Algebraic Theory of Semigroups, Vol. II. American Mathematical Society, Providence 1967. MR 0218472
[10] Dostál, P., Řeháček, Z., Ducháč, V.: Kapitoly z obecné biologie. SPN, Praha 1994.
[11] Gale, J. S.: Theoretical Population Genetics. Unwin Hyman, Boston 1990.
[12] Gamow, G.: Possible mathematical relation between deoxyribonucleic acid and protein structures. Nature 173 (1954), 318.
[13] Griffith, J. S., Crick, F. H. C., Orgel, L. E.: Codes without commas. Proc. Nat. Acad. Sci. U. S. A. 43 (1957), 416–427. MR 0086734
[14] Halmos, P. R.: Lectures on Ergodic Theory. The Math. Soc. of Japan, Tokyo 1956 (ruský překlad Izd. inostrannoj lit., Moskva 1960). MR 0097489 | Zbl 0073.09302
[15] Hardy, G. H.: Mendelian proportions in a mixed population. Science 28, N 706 (1908), 49–50.
[16] Hatina, J., Sykes, B.: Lékařská genetika: Problémy a přístupy. Academia, Praha 2002.
[17] Lallement, G.: Semigroups and Combinatorial Applications. John Willey & Sons, New York 1979. MR 0530552 | Zbl 0421.20025
[18] Lander, E. S.: Mapping heredity: Using probabilistic models and algorithms to map genes and genomes. Notices Amer. Math. Soc. 42 (1995), 747–753. MR 1335427 | Zbl 1047.92502
[19] Lewin, B.: Genes VII. Oxford Univ. Press, Oxford 2000.
[20] Ljubič, J. I.: Matěmatičeskije struktury v populjacionnoj genetike. Naukova Dumka, Kiev 1983.
[21] Mendel, J. G.: Versuche über Pflanzen-Hybriden. Verh. naturforsch. Verein in Brünn N 4 (1866), 3–47.
[22] Nečásek, J., Cetl, I. a kol.: Obecná genetika. SPN, Praha 1979.
[23] Pospíchal, J., Kvasnička, V.: Genetické algoritmy: nic pro biology. Pokroky mat. fyz. astronom. 40 (1995), 1–10.
[24] Rashevsky, N.: Mathematical Biophysics. Chicago 1948.
[25] Rosen, R.: The DNA-protein coding problem. Bull. Math. Biophysics 21 (1959), 71–96.
[26] Vogel, F.: AB0 blood groups and disease. Amer. J. Human Genetics 22 (1970), 464–475.
[27] Vologodskij, A. V.: Topologija i fizičeskije svojstva koľcevych DNK. Nauka, Moskva 1988.
[28] Wang, J.: Les enzymes qui modifient la topologie de l’ADN. La science des nœuds, Pour la Science, Paris (2001), 130–142.
[29] Watson, J. D.: Molecular biology of the gene. W. A. Benjamin, Inc., Menlo Park 1976.
[30] Watson, J. D., Crick, F. H. C.: A structure for deoxyribose nucleic acid. Nature 171 (1953), 737–738.
[31] Watson, J. D., Crick, F. H. C.: Genetic implications of the structure of deoxyribonucleic acid. Nature 171 (1953), 964–969.
[32] Weinberg, W.: Über den Nachweis der Vererbung beim Menschen. Jahresber. Ver. vaterl. Naturk. in Würtenbg. 64 (1908), 368–372.
[33] Woese, C. R.: The Genetic Code. Harper and Row, New York 1967.
Partner of
EuDML logo