Generalized topological spaces in evolutionary theory and combinatorial chemistry.
作者： Bärbel M. R. Stadler , Peter F. Stadler
DOI: 10.1021/CI0100898
关键词: Fitness landscape 、 Combinatorial chemistry 、 Generalized map 、 Mathematics 、 General topology 、 Topological space 、 Evolutionary theory 、 Formalism (philosophy of mathematics) 、 Combinatorial search
摘要: The search spaces in combinatorial chemistry as well the sequence underlying (molecular) evolution are conventionally thought of graphs. Recombination, however, implies a nongraphical structure spaces. These structures, and their implications for process itself, heretofore not understood general. In this contribution we review very general formalism from point set topology discuss its application to spaces, fitness landscapes, evolutionary trajectories, artificial chemistries.
acs.org
sci-hub.se 参考文章(47)
Preston C. Hammer, Extended topology: connected sets and Wallace separations Portugaliae Mathematica. ,vol. 22, pp. 167- 187 ,(1963)
Antony Galton, Continuous motion in discrete space principles of knowledge representation and reasoning. pp. 26- 37 ,(2000)
Preston C. Hammer, Extended topology: continuity - I Portugaliae Mathematica. ,vol. 23, pp. 77- 93 ,(1964)
I. L. Hofacker, W. Fontana, P. F. Stadler, L. S. Bonhoeffer, M. Tacker, P. Schuster, Fast folding and comparison of RNA secondary structures Monatshefte Fur Chemie. ,vol. 125, pp. 167- 188 ,(1994) , 10.1007/BF00818163
D. Heidrich, W. Quapp, W. Kliesch, Properties of Chemically Interesting Potential Energy Surfaces ,(1991)
D. Kent, On convergence groups and convergence uniformities Fundamenta Mathematicae. ,vol. 60, pp. 213- 222 ,(1967) , 10.4064/FM-60-3-213-222
D. Kent, Convergence functions and their related topologies Fundamenta Mathematicae. ,vol. 54, pp. 125- 133 ,(1964) , 10.4064/FM-54-2-125-133
D. V. Thampuran, Neighborhood spaces and convergence Portugaliae Mathematica. ,vol. 33, pp. 43- 49 ,(1970)
Peter F Stadler, Rudi Seitz, Günter P Wagner, Population dependent Fourier decomposition of fitness landscapes over recombination spaces: evolvability of complex characters. Bulletin of Mathematical Biology. ,vol. 62, pp. 399- 428 ,(2000) , 10.1006/BULM.1999.0167
M. Mezard, G. Parisi, M. A. Virasoro, David J. Thouless, Spin Glass Theory and Beyond ,(1986)