Algebraic and topological models for DNA recombinant processes

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 3340, Issue , 2004, Pages 49-62

  Jonoska, Nataša ^a   Saito, Masahico ^a  

^a UNIVERSITY OF SOUTH FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; TOPOLOGY; MOLECULES;

ALGEBRAIC MODELS; ALGEBRAIC TECHNIQUES; CYCLIC GROUP; DNA MOLECULES; ORDER 2; RECOMBINANT DNA; SEMIDIRECT PRODUCT; SYMMETRIC GROUPS; TOPOLOGICAL MODELS; TOPOLOGICAL TECHNIQUES; SPACE TIME;

DNA;

EID: 35048861910     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-30550-7_5     Document Type: Article

References (24)

1. Carter, J.S., Saito, M., Knotted surfaces and their diagrams, the American Mathematical Society, 1998.
2. Darcy, I. K., Biological distances on DNA knots and links: applications to XER recombination. Knots in Hellas '98, Volume 2 (Delphi). J. Knot Theory Ramifications 10 No. 2 (2001) 269-294.
3. Ehrenfeucht, A., Harju, T., Petre, I., Prescot, D.M., Rozenberg, G., Computation in living cells-gene assembly in ciliates, Springer-Verlag 2004.
4. Flapan, E., When topology meets chemistry. A topological look at molecular chirality. Outlooks. Cambridge University Press, Cambridge; Mathematical Association of America, Washington, DC, 2000.
5. Freyd, P.J., Yetter, D.N., Braided compact closed categories with applications to low-dimensional topology. Adv. Math. 77 No. 2 (1989) 156-182.
6. Garside, F., The braid group and other groups, Quart. J. Math. Oxford, (2) 20 (1969) 235-254.
7. Garzon, M., Jonoska, N., Karl S.A., Bounded Complexity of DNA Computing BioSystems, 52 (1999) 63-72.
8. Head, T., Paun, Gh., Pixton, D., Language theory and molecular genetics in Handbook of formal languages, Vol.II (G. Rozenberg, A. Salomaa editors) Springer Verlag (1997) 295-358.
9. Hosokawa, F.; Kawauchi, A.; Nakanishi, Y.; Sakuma, M., Note on critical points of surfaces in 4-space. Kobe J. Math. 1 No. 2 (1984) 151-152.
10. Joyal, A., Street, R., Braided tensor categories. Adv. Math. 102 No. 1 (1993) 20-78.
11. Kawauchi, A., A survey of knot theory. Translated and revised from the 1990 Japanese original by the author. Birkhuser Verlag, Basel, 1996.
12. Kawauchi, A., On the integral homology of infinite cyclic coverings of links. Kobe J. Math. 4 No. 1 (1987) 31-41.
13. Kronheimer, P.B., Mrowka, T.S., Gauge theory for embedded surfaces, I, Topology 32 (1993) 773-826.
14. Landweber, L.F., Kari, L., The evolution of cellular computing: nature's solution to a computational problem. BioSystems 52 (1999) 3-13.
15. Landweber, L.F., Kari, L., Universal molecular computation in ciliates. In: Evolution as Computation, Landweber, L., Winfree, E. (eds), Springer Verlag, Berlin, Heidelberg, 1999.
16. Magnus, W., Karrass, A., Solitar, D., Combinatorial group theory. Presentations of groups in terms of generators and relations. Second revised edition. Dover Publications, Inc., New York, 1976.
17. Mac Lane, S., Categories for the working mathematician. Second edition. Graduate Texts in Mathematics, 5. Springer-Verlag, New York, 1998
18. Munkres, J.R., Topology, second edition, Prentice-Hall, 2000 (first edition 1975).
19. Ozsvath, P., Szabo, Z., Knot Floer homology and the four-ball genus, Geom. Topol. 7 (2003) 615-639.
20. Paun, Gh, Rozenberg, G., Salomaa, A., DNA Computing, new computing paradigms, Springer Verlag 1998.
21. Rasmussen, J.A., Khovanov homology and the slice genus, Preprint, available at: http://xxx.lanl.gov/abs/math.GT0402131.
22. Rolfsen, D., Knots and links. Mathematics Lecture Series, No. 7. Publish or Perish, Inc., Berkeley, Calif., 1976.
23. Roseman, D., Twisting and turning in four dimensions, a video made at Geometry Center, 1993.
24. Sumners, D.W., Untangling DNA. Math. Intelligencer 12 No. 3 (1990) 71-80.