Bifurcations and phase transitions in spatially extended two-member hypercycles

Journal of Theoretical Biology

Volumn 243, Issue 4, 2006, Pages 468-482

  Sardanyés, Josep ^a   Solé, Ricard V ^a,b  

^a Barcelona Biomedical Research Park   (Spain)

^b SANTA FE INSTITUTE   (United States)

Author keywords

Bifurcations; Hypercycles; Metapopulations; Phase transitions; Spatial replicator dynamics

Indexed keywords

BIFURCATION; DIFFUSION; METAPOPULATION; PHASE TRANSITION; STOCHASTICITY;

ARTICLE; DIFFUSION; DYNAMICS; EVOLUTION; MATHEMATICAL ANALYSIS; METAPOPULATION; PHASE TRANSITION; PREDICTION; PRIORITY JOURNAL; STOCHASTIC MODEL;

ANIMALS; CATALYSIS; CELL DIVISION; EVOLUTION, MOLECULAR; MODELS, GENETIC; STOCHASTIC PROCESSES;

EID: 33750708202     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2006.07.014     Document Type: Article

References (37)

1. Bascompte J., and Solé R.V. Rethinking complexity: modelling spatiotemporal dynamics in ecology. Trends Ecol. Evol. 10 (1995) 361-366
2. Bascompte J., and Solé R.V. Modeling Spatiotemporal Dynamics in Ecology (1998), Springer, Berlin
3. Boerlijst, M., 2000. In: Dieckmann, U., Law, R., Metz, J.A.J. (Eds.), The Geometry of Ecological Interactions. Simplifying Spatial Complexity. The Press Syndicate of the University of Cambridge, pp. 171-182.
4. Boerlijst M.C., and Hogeweg P. Spiral wave structure in pre-biotic evolution: hypercycles stable against parasites. Physica D 48 (1991) 17-28
5. Breyer J., Ackermann J., and McCaskill J. Evolving reaction-diffusion ecosystems with self-assembling structures in thin films. Artif. Life 4 (1998) 25-40
6. Chacón, P., Moran, F., 1993. Estructuras espaciales en un sistema cerrado formado por especies autoreplicativas. An. Quím. 379-385.
7. Cronhjort, M.B., 1995. Ph.D. Thesis, Department of Physics. Royal Institute of Technology, Stockholm.
8. Cronhjort, M.B., 2000. In: Dieckmann, U., Law, R., Metz, J.A.J. (Eds.), The Geometry of Ecological Interactions. Simplifying Spatial Complexity. The Press Syndicate of the University of Cambridge, pp. 151-170.
9. Cronhjort M.B., and Blomberg C. Hypercycles vs parasites in a two-dimensional partial differential equations model. J. Theor. Biol. 169 (1994) 31-49
10. Cronhjort M.B., and Blomberg C. Cluster compartmentalization may provide resistance to parasites for catalytic networks. Physica D 101 (1997) 289-298
11. Czarán, T., Szathmáry, E., 2000. In: Dieckmann, U., Law, R., Metz, J.A.J. (Eds.), The Geometry of Ecological Interactions. Simplifying Spatial Complexity. The Press Syndicate of the University of Cambridge, pp. 116-134.
12. Eigen M. Error catastrophe and antiviral strategy (commentary). Proc. Natl. Acad. Sci. 99 21 (2002) 13374-13376
13. Eigen M., and Schuster P. The Hypercycle. A Principle of Natural Self-Organization (1979), Springer, Berlin
14. Eigen M., Biebricher C.K., Gebinoga M., and Gardiner W.C. The hypercycle. Coupling of RNA and protein synthesis in the infection cycle of an RNA bacteriophage. Biochemistry 30 46 (1991) 11005-11018
15. Fontanari J.F., and Ferreira C.P. Nonequilibrium phase transitions in a model for the origin of life. Phys. Rev. E 65 (2002) 021902-1,021902-10
16. Füchslin R.M., and McCaskill J.S. Evolutionary self-organization of cell-free genetic coding. Proc. Natl. Acad. Sci. 98 16 (2001) 9185-9190
17. García-Tejedor A., Sanz-Nuño J.C., Olarrea J., de la Rubia F.J., and Montero F. Influence of the hypercycle on the error threshold: a stochastic approach. J. Theor. Biol. 134 (1988) 431-443
18. Hanski I. Metapopulation Ecology. Oxford Series in Ecology and Evolution (1999), Oxford University Press, Oxford
19. Ilachinsky A. Cellular Automata. A Discrete Universe (2002), World Scientific, Singapore
20. Lee D.H., Severin K., and Reza Ghadiri M. Autocatalyitic networks: the transition from molecular self-replication to molecular ecosystems. Curr. Opin. Chem. Biol. 1 (1997) 491-496
21. Lee, D.H., Severin, K., Yokobayashi, Y., Reza Ghadiri, M., 1997b. Emergence of symbiosis in peptide self-replication through a hypercyclic network. Nature 390, 591-594.
22. Marro J., and Dickman R. Nonequilibrium Phase Transitions in Lattice Models (1999), Cambridge University Press, Cambridge
23. McCaskill J. Spatially resolved in vitro molecular ecology. Biophys. Chem. 66 (1997) 145-158
24. Nuño J.C., Andrade M.A., Morán F., and Montero F. A model of an autocatalytic network formed by error-prone self-replicative species. Bull. Math. Biol. 55 2 (1993) 385-415
25. Nuño J.C., Montero F., and de la Rubias F.J. Influence of external fluctuations on a hypercycle formed by two kinetically indistinguishable species. J. Theor. Biol. 165 (1993) 553-575
26. Rowe G.W. Theoretical Models in Biology: The Origins of Life, the Immune System and the Brain (1997), Oxford University Press, Oxford
27. Scheuring I., Czárán T., Szabó P., Károlyi G., and Toroczkai Z. Spatial models of prebiotic evolution: soup before pizza?. Origins Life Evol. Biosphere 33 (2002) 319-355
28. Smith J.M., and Szathmáry E. The Major Transitions in Evolution (2001), Oxford University Press, Oxford
29. Solé R.V., and Bascompte J. Self-organization in Complex Ecosystems. Monographs in Population Biology (2006), Princeton Uinversity Press, Princeton
30. Solé, R.V., Goodwin, B., 2000. Signs of Life: How Complexity Pervades Biology. Basic Books, New York.
31. Stadler B.M.R., and Stadler P.F. Molecular Replicator Dynamics. Adv. Complex Syst. 6 (2003) 47-77
32. Strogatz S.H. Nonlinear Dynamics and Chaos with Applications to Physics, Biology, Chemistry, and Engineering (2000), Westview Press, Boulder, CO
33. Strogatz S.H., and Westervelt R.M. Predicted power laws for delayed switching of charge density waves. Phys. Rev. B 40 15 (1989) 10501-10508
34. Swetina J., and Schuster P. Self-replication with errors. A model for polynucleotide replication. Biophys. Chem. 16 (1982) 329
35. Szabó P., Scheuring I., Czárán T., and Szathmáry E. In silico simulations reveal that replicators with limited dispersal evolve towards higher efficiency and fidelity. Nature 420 (2002) 340-343
36. Szathmáry E., and Maynard Smith J. From replicators to reproducers: the first major transitions leading to life. J. Theor. Biol. 169 (1997) 555-571
37. Wächtershäuser G. Before enzymes and templates: theory of surface metabolism. Microbiol. Rev. 52 4 (1988) 452-484