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Volumn 389, Issue 20, 2010, Pages 4265-4298

Evolutionary game theory: Theoretical concepts and applications to microbial communities

Author keywords

Evolution; Game theory; Nonlinear dynamics; Pattern formation; Population dynamics; Stochastic processes

Indexed keywords

BACTERIA; BEHAVIORAL RESEARCH; BIFURCATION (MATHEMATICS); DEGREES OF FREEDOM (MECHANICS); DYNAMICS; ECOLOGY; POPULATION DYNAMICS; RANDOM PROCESSES; STOCHASTIC MODELS; STOCHASTIC SYSTEMS;

EID: 77955711148     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2010.02.047     Document Type: Article
Times cited : (257)

References (137)
  • 1
    • 0037062936 scopus 로고    scopus 로고
    • Local dispersal promotes biodiversity in a real-life game of rockpaperscissors
    • B. Kerr, M.A. Riley, M.W. Feldman, and B.J.M. Bohannan Local dispersal promotes biodiversity in a real-life game of rockpaperscissors Nature 418 2002 171 174
    • (2002) Nature , vol.418 , pp. 171-174
    • Kerr, B.1    Riley, M.A.2    Feldman, M.W.3    Bohannan, B.J.M.4
  • 3
    • 0002021736 scopus 로고
    • Equilibrium points in n-person games
    • J.F. Nash Equilibrium points in n-person games Proc. Natl. Acad. Sci. USA 36 1950 48 49
    • (1950) Proc. Natl. Acad. Sci. USA , vol.36 , pp. 48-49
    • Nash, J.F.1
  • 5
    • 0019480612 scopus 로고
    • The evolution of cooperation
    • R. Axelrod, and W.D. Hamilton The evolution of cooperation Science 211 1981 1390 1396
    • (1981) Science , vol.211 , pp. 1390-1396
    • Axelrod, R.1    Hamilton, W.D.2
  • 6
    • 34548719708 scopus 로고
    • The logic of animal conflict
    • J. Maynard Smith, and G.R. Price The logic of animal conflict Nature 246 1973 15 18
    • (1973) Nature , vol.246 , pp. 15-18
    • Maynard Smith, J.1    Price, G.R.2
  • 8
    • 33846837061 scopus 로고
    • Undamped oscillations derived from the law of mass action
    • A.J. Lotka Undamped oscillations derived from the law of mass action J. Amer. Chem. Soc. 42 1920 1595 1599
    • (1920) J. Amer. Chem. Soc. , vol.42 , pp. 1595-1599
    • Lotka, A.J.1
  • 9
    • 0002604954 scopus 로고
    • Variazioni e fluttuazioni del numero d'individui in specie animali conviventi
    • V. Volterra Variazioni e fluttuazioni del numero d'individui in specie animali conviventi Mem. Accad. Lincei 2 1926 31
    • (1926) Mem. Accad. Lincei , vol.2 , pp. 31
    • Volterra, V.1
  • 13
    • 1842612577 scopus 로고    scopus 로고
    • Bacterial biofilms: From the natural environment to infectious diseases
    • L. Hall-Stoodley, J.W. Costerton, and P. Stoodley Bacterial biofilms: from the natural environment to infectious diseases Nat. Rev. Microbiol. 2 2004 95
    • (2004) Nat. Rev. Microbiol. , vol.2 , pp. 95
    • Hall-Stoodley, L.1    Costerton, J.W.2    Stoodley, P.3
  • 15
    • 0038347102 scopus 로고    scopus 로고
    • Social strife in the microbial world
    • G.J. Velicer Social strife in the microbial world Trends Microbiol. 11 2003 330 337
    • (2003) Trends Microbiol. , vol.11 , pp. 330-337
    • Velicer, G.J.1
  • 16
    • 33846485152 scopus 로고    scopus 로고
    • Cooperation and conflict in microbial biofilms
    • J.B. Xavier, and K.R. Foster Cooperation and conflict in microbial biofilms Proc. Natl. Acad. Sci. USA 104 2007 876 881
    • (2007) Proc. Natl. Acad. Sci. USA , vol.104 , pp. 876-881
    • Xavier, J.B.1    Foster, K.R.2
  • 18
    • 0442323226 scopus 로고    scopus 로고
    • The prisoner's dilemma and polymorphism in yeast suc genes
    • D. Greig, and M. Travisano The prisoner's dilemma and polymorphism in yeast suc genes Proc. Roy. Soc. Lond. B 271 2004 S2526
    • (2004) Proc. Roy. Soc. Lond. B , vol.271
    • Greig, D.1    Travisano, M.2
  • 20
    • 0002414229 scopus 로고
    • The evolution of reciprocal altruism
    • R.L. Trivers The evolution of reciprocal altruism Quart. Rev. Biol. 46 1971 35
    • (1971) Quart. Rev. Biol. , vol.46 , pp. 35
    • Trivers, R.L.1
  • 21
    • 27944442272 scopus 로고    scopus 로고
    • Quorum sensing: Cell-to-cell communication in bacteria
    • C.M. Waters, and B.L. Bassle Quorum sensing: cell-to-cell communication in bacteria Ann. Rev. Cell Dev. Biol. 21 2005 319 346
    • (2005) Ann. Rev. Cell Dev. Biol. , vol.21 , pp. 319-346
    • Waters, C.M.1    Bassle, B.L.2
  • 22
    • 66149108283 scopus 로고    scopus 로고
    • Snowdrift game dynamics and facultative cheating in yeast
    • J. Gore, H. Youk, and A. van Oudenaarden Snowdrift game dynamics and facultative cheating in yeast Nature 459 2009 253 256
    • (2009) Nature , vol.459 , pp. 253-256
    • Gore, J.1    Youk, H.2    Van Oudenaarden, A.3
  • 23
    • 58149392486 scopus 로고    scopus 로고
    • Simpson's paradox in a synthetic microbial system
    • J.S. Chuang, O. Rivoire, and S. Leibler Simpson's paradox in a synthetic microbial system Science 323 2009 272 275
    • (2009) Science , vol.323 , pp. 272-275
    • Chuang, J.S.1    Rivoire, O.2    Leibler, S.3
  • 24
    • 0031582046 scopus 로고    scopus 로고
    • Allelopathy in spatially distributed populations
    • R. Durrett, and S. Levin Allelopathy in spatially distributed populations J. Theoret. Biol. 185 1997 165 171
    • (1997) J. Theoret. Biol. , vol.185 , pp. 165-171
    • Durrett, R.1    Levin, S.2
  • 25
    • 0032001896 scopus 로고    scopus 로고
    • Spatial aspects of interspecific competition
    • R. Durrett, and S. Levin Spatial aspects of interspecific competition Theor. Pop. Biol. 53 1998 30 43
    • (1998) Theor. Pop. Biol. , vol.53 , pp. 30-43
    • Durrett, R.1    Levin, S.2
  • 26
  • 27
    • 66849089902 scopus 로고    scopus 로고
    • Social evolution of spatial patterns in bacterial biofilms: When conflict drives disorder
    • J.B. Xavier, E. Martinez-Gracia, and K.R. Foster Social evolution of spatial patterns in bacterial biofilms: when conflict drives disorder Am. Nat. 174 2009 1 12
    • (2009) Am. Nat. , vol.174 , pp. 1-12
    • Xavier, J.B.1    Martinez-Gracia, E.2    Foster, K.R.3
  • 29
    • 33845415805 scopus 로고    scopus 로고
    • Five rules for the evolution of cooperation
    • M.A. Nowak Five rules for the evolution of cooperation Science 314 2006 1560
    • (2006) Science , vol.314 , pp. 1560
    • Nowak, M.A.1
  • 30
    • 58149367764 scopus 로고
    • The provision of a sanctioning system as a public good
    • T. Yamagishi The provision of a sanctioning system as a public good J. Pers. Soc. Psychol. 51 1986 110 116
    • (1986) J. Pers. Soc. Psychol. , vol.51 , pp. 110-116
    • Yamagishi, T.1
  • 34
    • 70350072418 scopus 로고    scopus 로고
    • The edge of neutral evolution in social dilemmas
    • J. Cremer, T. Reichenbach, and E. Frey The edge of neutral evolution in social dilemmas New J. Phys. 11 2009 093029
    • (2009) New J. Phys. , vol.11 , pp. 093029
    • Cremer, J.1    Reichenbach, T.2    Frey, E.3
  • 35
    • 0034211858 scopus 로고    scopus 로고
    • Cooperative self-organization of microorganisms
    • E. Ben-Jacob, I. Cohen, and H. Levine Cooperative self-organization of microorganisms Adv. Phys. 49 2000 395 554
    • (2000) Adv. Phys. , vol.49 , pp. 395-554
    • Ben-Jacob, E.1    Cohen, I.2    Levine, H.3
  • 37
    • 40949138955 scopus 로고    scopus 로고
    • Swarming and complex pattern formation in paenibacillus vortex studied by imaging and tracking cells
    • C.J. Ingham, and E.B. Jacob Swarming and complex pattern formation in paenibacillus vortex studied by imaging and tracking cells BMC Microbiol. 8 2008 36
    • (2008) BMC Microbiol. , vol.8 , pp. 36
    • Ingham, C.J.1    Jacob, E.B.2
  • 40
    • 44949291022 scopus 로고
    • Diffusion-limited growth in bacterial colony formation
    • M. Matsushita, and H. Fujikawa Diffusion-limited growth in bacterial colony formation Phys. A 168 1990 498 506
    • (1990) Phys. A , vol.168 , pp. 498-506
    • Matsushita, M.1    Fujikawa, H.2
  • 41
    • 0031939962 scopus 로고    scopus 로고
    • Classification and genetic characterization of pattern-forming bacilli
    • R. Rudner, O. Martsinkevich, W. Leung, and E.D. Jarvis Classification and genetic characterization of pattern-forming bacilli Mol. Microbiol. 27 1998 687 703
    • (1998) Mol. Microbiol. , vol.27 , pp. 687-703
    • Rudner, R.1    Martsinkevich, O.2    Leung, W.3    Jarvis, E.D.4
  • 42
    • 0025056597 scopus 로고
    • Functions of the flagellar modes of rotation in bacterial motility and chemotaxis
    • M. Eisenbach Functions of the flagellar modes of rotation in bacterial motility and chemotaxis Mol. Microbiol. 4 1990 161 167
    • (1990) Mol. Microbiol. , vol.4 , pp. 161-167
    • Eisenbach, M.1
  • 43
    • 0015453916 scopus 로고
    • Gliding and twitching motility of bacteria unaffected by Cytochalasin B
    • J. Henrichsen Gliding and twitching motility of bacteria unaffected by Cytochalasin B A. Pathol. Microbiol. Scand. B B 80 1972 623
    • (1972) A. Pathol. Microbiol. Scand. B , vol.80 , pp. 623
    • Henrichsen, J.1
  • 44
    • 0015267423 scopus 로고
    • Studies on bacterial surface translocation. 2. Correlation of twitching motility and fimbriation in bolony variants of Moraxella-Nonliquefaciens, M-Bovis, and M-Kingii
    • J. Henrichsen, L.O. Froholm, and K. Bovre Studies on bacterial surface translocation. 2. Correlation of twitching motility and fimbriation in bolony variants of Moraxella-Nonliquefaciens, M-Bovis, and M-Kingii A. Pathol. Microbiol. Scand. B B 80 1972 445
    • (1972) A. Pathol. Microbiol. Scand. B , vol.80 , pp. 445
    • Henrichsen, J.1    Froholm, L.O.2    Bovre, K.3
  • 49
  • 50
    • 33645073688 scopus 로고    scopus 로고
    • Phenotypic variation in bacteria: The role of feedback regulation
    • W.K. Smits, O.P. Kuipers, and J.W. Veening Phenotypic variation in bacteria: the role of feedback regulation Nat. Rev. Microbiol. 4 2006 259 271
    • (2006) Nat. Rev. Microbiol. , vol.4 , pp. 259-271
    • Smits, W.K.1    Kuipers, O.P.2    Veening, J.W.3
  • 51
    • 33748058888 scopus 로고    scopus 로고
    • Bistability in bacteria
    • D. Dubnau, and R. Losick Bistability in bacteria Mol. Microbiol. 61 2006 564 572
    • (2006) Mol. Microbiol. , vol.61 , pp. 564-572
    • Dubnau, D.1    Losick, R.2
  • 53
    • 0000296912 scopus 로고
    • Statistical fluctuations in autocatalytic reactions
    • M. Delbrck Statistical fluctuations in autocatalytic reactions J. Chem. Phys. 8 1940 120
    • (1940) J. Chem. Phys. , vol.8 , pp. 120
    • Delbrck, M.1
  • 54
    • 28844506643 scopus 로고    scopus 로고
    • Coevolutionary dynamics: From finite to infinite populations
    • A. Traulsen, J.C. Claussen, and C. Hauert Coevolutionary dynamics: from finite to infinite populations Phys. Rev. Lett. 95 2005 238701
    • (2005) Phys. Rev. Lett. , vol.95 , pp. 238701
    • Traulsen, A.1    Claussen, J.C.2    Hauert, C.3
  • 55
    • 33750973634 scopus 로고    scopus 로고
    • Coexistence versus extinction in the stochastic cyclic LotkaVolterra model
    • T. Reichenbach, M. Mobilia, and E. Frey Coexistence versus extinction in the stochastic cyclic LotkaVolterra model Phys. Rev. E 74 2006 051907
    • (2006) Phys. Rev. e , vol.74 , pp. 051907
    • Reichenbach, T.1    Mobilia, M.2    Frey, E.3
  • 56
    • 33749001726 scopus 로고    scopus 로고
    • Coevolutionary dynamics in large, but finite populations
    • A. Traulsen, J.C. Claussen, and C. Hauert Coevolutionary dynamics in large, but finite populations Phys. Rev. E 74 2006 011901
    • (2006) Phys. Rev. e , vol.74 , pp. 011901
    • Traulsen, A.1    Claussen, J.C.2    Hauert, C.3
  • 57
    • 49249096690 scopus 로고    scopus 로고
    • Anomalous finite-size effects in the battle of the sexes
    • J. Cremer, T. Reichenbach, and E. Frey Anomalous finite-size effects in the battle of the sexes Eur. Phys. J. B 63 2008 373 380
    • (2008) Eur. Phys. J. B , vol.63 , pp. 373-380
    • Cremer, J.1    Reichenbach, T.2    Frey, E.3
  • 61
    • 84863737910 scopus 로고
    • The differential equation of the distribution of gene frequencies
    • S. Wright The differential equation of the distribution of gene frequencies Proc. Natl. Acad. Sci. USA 31 1945 382 389
    • (1945) Proc. Natl. Acad. Sci. USA , vol.31 , pp. 382-389
    • Wright, S.1
  • 64
    • 0014296201 scopus 로고
    • Genetic variability maintained in a finite population due to mutational production of neutral and nearly neutral isoalleles
    • M. Kimura Genetic variability maintained in a finite population due to mutational production of neutral and nearly neutral isoalleles Genet. Res., Camb. 11 1969 247 269
    • (1969) Genet. Res., Camb. , vol.11 , pp. 247-269
    • Kimura, M.1
  • 67
    • 33750734680 scopus 로고    scopus 로고
    • Fixation of strategies for an evolutionary game in finite populations
    • T. Antal, and I. Scheuring Fixation of strategies for an evolutionary game in finite populations Bull. Math. Biol. 68 2006 1923
    • (2006) Bull. Math. Biol. , vol.68 , pp. 1923
    • Antal, T.1    Scheuring, I.2
  • 68
    • 33749642862 scopus 로고    scopus 로고
    • A symmetry of fixation times in evolutionary dynamics
    • C. Taylor, Y. Iwasa, and M.A. Nowak A symmetry of fixation times in evolutionary dynamics J. Theoret. Biol. 243 2006 245 251
    • (2006) J. Theoret. Biol. , vol.243 , pp. 245-251
    • Taylor, C.1    Iwasa, Y.2    Nowak, M.A.3
  • 69
    • 0038237123 scopus 로고    scopus 로고
    • Survival and extinction in cyclic and neutral three-species systems
    • M. Ifti, and B. Bergersen Survival and extinction in cyclic and neutral three-species systems Eur. Phys. J. E 10 2003 241 248
    • (2003) Eur. Phys. J. e , vol.10 , pp. 241-248
    • Ifti, M.1    Bergersen, B.2
  • 70
    • 2542474985 scopus 로고    scopus 로고
    • Crossover behaviour of 3-species systems with mutations or migrations
    • M. Ifti, and B. Bergersen Crossover behaviour of 3-species systems with mutations or migrations Eur. Phys. J. B 37 2004 101 107
    • (2004) Eur. Phys. J. B , vol.37 , pp. 101-107
    • Ifti, M.1    Bergersen, B.2
  • 73
    • 34548305141 scopus 로고    scopus 로고
    • Mobility promotes and jeopardizes biodiversity in rockpaperscissors games
    • T. Reichenbach, M. Mobilia, and E. Frey Mobility promotes and jeopardizes biodiversity in rockpaperscissors games Nature 448 2007 1046 1049
    • (2007) Nature , vol.448 , pp. 1046-1049
    • Reichenbach, T.1    Mobilia, M.2    Frey, E.3
  • 74
    • 84970556051 scopus 로고
    • An outline of the dynamics of animal populations
    • A.J. Nicholson An outline of the dynamics of animal populations Aust. J. Zool. 2 1954 9 65
    • (1954) Aust. J. Zool. , vol.2 , pp. 9-65
    • Nicholson, A.J.1
  • 75
    • 0000268789 scopus 로고
    • Nonlinear aspects of competition between species
    • R.M. May, and W.J. Leonard Nonlinear aspects of competition between species SIAM J. Appl. Math 29 1975 243 253
    • (1975) SIAM J. Appl. Math , vol.29 , pp. 243-253
    • May, R.M.1    Leonard, W.J.2
  • 77
    • 50149095565 scopus 로고    scopus 로고
    • Self-organization of mobile populations in cyclic competition
    • T. Reichenbach, M. Mobilia, and E. Frey Self-organization of mobile populations in cyclic competition J. Theoret. Biol. 254 2008 368 383
    • (2008) J. Theoret. Biol. , vol.254 , pp. 368-383
    • Reichenbach, T.1    Mobilia, M.2    Frey, E.3
  • 78
    • 51849151589 scopus 로고    scopus 로고
    • Three- and four-state rockpaperscissors games with diffusion
    • M. Peltomaki, and M. Alava Three- and four-state rockpaperscissors games with diffusion Phys. Rev. E 78 2008 031906
    • (2008) Phys. Rev. e , vol.78 , pp. 031906
    • Peltomaki, M.1    Alava, M.2
  • 82
    • 0026613691 scopus 로고
    • Evolutionary games and spatial chaos
    • M.A. Nowak, and R.M. May Evolutionary games and spatial chaos Nature 359 1992 826 829
    • (1992) Nature , vol.359 , pp. 826-829
    • Nowak, M.A.1    May, R.M.2
  • 83
    • 0026268962 scopus 로고
    • Spatial structure and chaos in insect population dynamics
    • M.P. Hassell, H.N. Comins, and R.M. May Spatial structure and chaos in insect population dynamics Nature 353 1991 255 258
    • (1991) Nature , vol.353 , pp. 255-258
    • Hassell, M.P.1    Comins, H.N.2    May, R.M.3
  • 84
    • 0028170380 scopus 로고
    • Species coexistence and self-organizing spatial dynamics
    • M.P. Hassell, H.N. Comins, and R.M. May Species coexistence and self-organizing spatial dynamics Nature 370 1994 290 292
    • (1994) Nature , vol.370 , pp. 290-292
    • Hassell, M.P.1    Comins, H.N.2    May, R.M.3
  • 85
    • 0033609387 scopus 로고    scopus 로고
    • Complex dynamics and phase synchronization in spatially extended ecological systems
    • B. Blasius, A. Huppert, and L. Stone Complex dynamics and phase synchronization in spatially extended ecological systems Nature 399 1999 354 359
    • (1999) Nature , vol.399 , pp. 354-359
    • Blasius, B.1    Huppert, A.2    Stone, L.3
  • 86
    • 0346968178 scopus 로고    scopus 로고
    • Spatial mechanism for coexistence of species sharing a common natural enemy
    • A.A. King, and A. Hastings Spatial mechanism for coexistence of species sharing a common natural enemy Theor. Pop. Biol. 64 2003 431 438
    • (2003) Theor. Pop. Biol. , vol.64 , pp. 431-438
    • King, A.A.1    Hastings, A.2
  • 87
    • 45849156108 scopus 로고    scopus 로고
    • Phase transitions and volunteering in spatial public goods games
    • G. Szabo, and C. Hauert Phase transitions and volunteering in spatial public goods games Phys. Rev. Lett. 89 2002 118101
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 118101
    • Szabo, G.1    Hauert, C.2
  • 88
    • 1942421127 scopus 로고    scopus 로고
    • Spatial structure often inhibits the evolution of cooperation in the snowdrift game
    • C. Hauert, and M. Doebeli Spatial structure often inhibits the evolution of cooperation in the snowdrift game Nature 428 2004 643 646
    • (2004) Nature , vol.428 , pp. 643-646
    • Hauert, C.1    Doebeli, M.2
  • 89
    • 34548633128 scopus 로고    scopus 로고
    • Positive feedbacks promote power-law clustering of Kalahari vegetation
    • T.M. Scanlon, K.K. Caylor, and I. Rodriguez-Iturbe Positive feedbacks promote power-law clustering of Kalahari vegetation Nature 449 2007 209 212
    • (2007) Nature , vol.449 , pp. 209-212
    • Scanlon, T.M.1    Caylor, K.K.2    Rodriguez-Iturbe, I.3
  • 91
    • 34250617077 scopus 로고    scopus 로고
    • Evolutionary games on graphs
    • G. Szab, and G. Fath Evolutionary games on graphs Phys. Rep. 446 2007 97 216
    • (2007) Phys. Rep. , vol.446 , pp. 97-216
    • Szab, G.1    Fath, G.2
  • 92
    • 34547281975 scopus 로고    scopus 로고
    • Cyclical interactions with alliance-specific heterogeneous invasion rates
    • M. Perc, A. Szolnoki, and G. Szab Cyclical interactions with alliance-specific heterogeneous invasion rates Phys. Rev. E 75 2007 052102
    • (2007) Phys. Rev. e , vol.75 , pp. 052102
    • Perc, M.1    Szolnoki, A.2    Szab, G.3
  • 94
    • 36949058437 scopus 로고
    • Concentration wave propagation in two-dimensional liquid-phase self-oscillating system
    • A.N. Zaikin, and A.M. Zhabotinsky Concentration wave propagation in two-dimensional liquid-phase self-oscillating system Nature 225 1970 535
    • (1970) Nature , vol.225 , pp. 535
    • Zaikin, A.N.1    Zhabotinsky, A.M.2
  • 95
    • 0004095143 scopus 로고
    • R. Kapral, K. Showalter, Kluwer Academic Publishers Dordrecht
    • R. Kapral, K. Showalter, Chemical Waves and Patterns, Part One 1995 Kluwer Academic Publishers Dordrecht
    • (1995) Chemical Waves and Patterns, Part One
  • 96
    • 0035856957 scopus 로고    scopus 로고
    • Travelling waves and spatial hierarchies in measles epidemics
    • B.T. Grenfell, O.N. Bjornstad, and J. Kappey Travelling waves and spatial hierarchies in measles epidemics Nature 414 2001 716 723
    • (2001) Nature , vol.414 , pp. 716-723
    • Grenfell, B.T.1    Bjornstad, O.N.2    Kappey, J.3
  • 98
    • 33846517798 scopus 로고    scopus 로고
    • Noise can play an organizing role for the recurrent dynamics in excitable media
    • C.B. Muratov, E. Vanden-Eijnden, and E. Weinan Noise can play an organizing role for the recurrent dynamics in excitable media Proc. Natl. Acad. Sci. USA 104 2007 702 707
    • (2007) Proc. Natl. Acad. Sci. USA , vol.104 , pp. 702-707
    • Muratov, C.B.1    Vanden-Eijnden, E.2    Weinan, E.3
  • 99
    • 0026416651 scopus 로고
    • Spiral calcium wave propagation and annihilation in Xenopus laevis oocytes
    • J. Lechleiter, S. Girard, E. Peralta, and D. Clapham Spiral calcium wave propagation and annihilation in Xenopus laevis oocytes Science 252 1991 123 126
    • (1991) Science , vol.252 , pp. 123-126
    • Lechleiter, J.1    Girard, S.2    Peralta, E.3    Clapham, D.4
  • 100
    • 3142773575 scopus 로고    scopus 로고
    • 2+ signaling
    • 2+ signaling Adv. Phys. 53 2004 255 440
    • (2004) Adv. Phys. , vol.53 , pp. 255-440
    • Falcke, M.1
  • 101
    • 33750483898 scopus 로고    scopus 로고
    • Calcium signalling during excitationcontraction coupling in mammalian atrial myocytes
    • M.D. Bootmann, D.R. Higazi, S. Coombes, and H. Llewelyn Roderick Calcium signalling during excitationcontraction coupling in mammalian atrial myocytes J. Cell Sci. 119 2006 3915 3925
    • (2006) J. Cell Sci. , vol.119 , pp. 3915-3925
    • Bootmann, M.D.1    Higazi, D.R.2    Coombes, S.3    Llewelyn Roderick, H.4
  • 103
    • 0000793907 scopus 로고
    • Dispersion and population interactions
    • S.A. Levin Dispersion and population interactions Am. Nat. 108 1974 207 228
    • (1974) Am. Nat. , vol.108 , pp. 207-228
    • Levin, S.A.1
  • 104
    • 0036739709 scopus 로고    scopus 로고
    • Extinction dynamics in mainland-island metapopulations: An n-patch stochastic model
    • A. McKane, and D. Alonso Extinction dynamics in mainland-island metapopulations: an n-patch stochastic model Bull. Math. Biol. 64 2002 913 958
    • (2002) Bull. Math. Biol. , vol.64 , pp. 913-958
    • McKane, A.1    Alonso, D.2
  • 105
    • 0028248821 scopus 로고
    • The importance of being discrete (and spatial)
    • R. Durrett, and S. Levin The importance of being discrete (and spatial) Theor. Pop. Biol. 46 1994 363 394
    • (1994) Theor. Pop. Biol. , vol.46 , pp. 363-394
    • Durrett, R.1    Levin, S.2
  • 106
  • 107
    • 33646344950 scopus 로고    scopus 로고
    • Fluctuations and correlations in lattice models for predatorprey interaction
    • M. Mobilia, I.T. Georgiev, and U.C. Tuber Fluctuations and correlations in lattice models for predatorprey interaction Phys. Rev. E 73 2006 040903(R)
    • (2006) Phys. Rev. e , vol.73
    • Mobilia, M.1    Georgiev, I.T.2    Tuber, U.C.3
  • 108
    • 34249903336 scopus 로고    scopus 로고
    • Phase transitions and spatio-temporal fluctuations in stochastic lattice LotkaVolterra models
    • M. Mobilia, I.T. Georgiev, and U.C. Tuber Phase transitions and spatio-temporal fluctuations in stochastic lattice LotkaVolterra models J. Stat. Phys. 128 2007 447
    • (2007) J. Stat. Phys. , vol.128 , pp. 447
    • Mobilia, M.1    Georgiev, I.T.2    Tuber, U.C.3
  • 109
    • 0000068423 scopus 로고
    • Allelopathy and spatial competition among coral reef invertebrates
    • J.B.C. Jackson, and L. Buss Allelopathy and spatial competition among coral reef invertebrates Proc. Natl. Acad. Sci. USA 72 1975 5160 5163
    • (1975) Proc. Natl. Acad. Sci. USA , vol.72 , pp. 5160-5163
    • Jackson, J.B.C.1    Buss, L.2
  • 110
    • 0242268942 scopus 로고    scopus 로고
    • Cyclic dynamics in a simple vertebrate predatorprey-community
    • O. Gilg, I. Hanski, and B. Sittler Cyclic dynamics in a simple vertebrate predatorprey-community Science 302 2001 866 868
    • (2001) Science , vol.302 , pp. 866-868
    • Gilg, O.1    Hanski, I.2    Sittler, B.3
  • 111
    • 0029666941 scopus 로고    scopus 로고
    • The rockscissorspaper game and the evolution of alternative male strategies
    • B. Sinervo, and C.M. Lively The rockscissorspaper game and the evolution of alternative male strategies Nature 380 1996 240 243
    • (1996) Nature , vol.380 , pp. 240-243
    • Sinervo, B.1    Lively, C.M.2
  • 112
    • 1842525243 scopus 로고    scopus 로고
    • Antibiotic-mediated antagonism leads to a bacterial game of rockpaperscissors in vivo
    • B.C. Kirkup, and M.A. Riley Antibiotic-mediated antagonism leads to a bacterial game of rockpaperscissors in vivo Nature 428 2004 412 414
    • (2004) Nature , vol.428 , pp. 412-414
    • Kirkup, B.C.1    Riley, M.A.2
  • 113
    • 36849066945 scopus 로고    scopus 로고
    • Noise and correlations in a spatial population model with cyclic competition
    • T. Reichenbach, M. Mobilia, and E. Frey Noise and correlations in a spatial population model with cyclic competition Phys. Rev. Lett. 99 2007 238105
    • (2007) Phys. Rev. Lett. , vol.99 , pp. 238105
    • Reichenbach, T.1    Mobilia, M.2    Frey, E.3
  • 114
    • 12044252828 scopus 로고
    • Pattern formation outside of equilibrium
    • M.C. Cross, and P.C. Hohenberg Pattern formation outside of equilibrium Rev. Modern Phys. 65 1993 851 1112
    • (1993) Rev. Modern Phys. , vol.65 , pp. 851-1112
    • Cross, M.C.1    Hohenberg, P.C.2
  • 115
    • 0036013603 scopus 로고    scopus 로고
    • The world of the complex Ginzburg-Landau equation
    • I.S. Aranson, and L. Kramer The world of the complex Ginzburg-Landau equation Rev. Modern Phys. 74 2002 99
    • (2002) Rev. Modern Phys. , vol.74 , pp. 99
    • Aranson, I.S.1    Kramer, L.2
  • 116
    • 0142119503 scopus 로고    scopus 로고
    • Front propagation into unstable states
    • W. van Saarloos Front propagation into unstable states Phys. Rep. 386 2003 29
    • (2003) Phys. Rep. , vol.386 , pp. 29
    • Van Saarloos, W.1
  • 117
    • 20744451708 scopus 로고    scopus 로고
    • Applications of field-theoretic renormalization group methods to reaction-diffusion problems
    • U.C. Tuber, M. Howard, and B.P. Vollmayr-Lee Applications of field-theoretic renormalization group methods to reaction-diffusion problems J. Phys. A: Math. Gen. 38 2005 R79 R131
    • (2005) J. Phys. A: Math. Gen. , vol.38
    • Tuber, U.C.1    Howard, M.2    Vollmayr-Lee, B.P.3
  • 118
    • 0032386826 scopus 로고    scopus 로고
    • The uses of quantum field theory in diffusion-limited reactions
    • D.C. Mattis, and M.L. Glasser The uses of quantum field theory in diffusion-limited reactions Rev. Modern Phys. 70 1998 979
    • (1998) Rev. Modern Phys. , vol.70 , pp. 979
    • Mattis, D.C.1    Glasser, M.L.2
  • 119
    • 4243214825 scopus 로고
    • Vortices and strings in a model ecosystem
    • K. Tainaka Vortices and strings in a model ecosystem Phys. Rev. E 50 1994 3401 3409
    • (1994) Phys. Rev. e , vol.50 , pp. 3401-3409
    • Tainaka, K.1
  • 121
    • 1342268335 scopus 로고    scopus 로고
    • Rockscissorspaper game on regular small-world networks
    • G. Szab, A. Szolnoki, and R. Izsak Rockscissorspaper game on regular small-world networks J. Phys. A: Math. Gen. 37 2004 2599
    • (2004) J. Phys. A: Math. Gen. , vol.37 , pp. 2599
    • Szab, G.1    Szolnoki, A.2    Izsak, R.3
  • 122
    • 49149112519 scopus 로고    scopus 로고
    • Instability of spatial patterns and its ambiguous impact on species diversity
    • T. Reichenbach, and E. Frey Instability of spatial patterns and its ambiguous impact on species diversity Phys. Rev. Lett. 101 2008 058102
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 058102
    • Reichenbach, T.1    Frey, E.2
  • 123
  • 124
    • 11444252559 scopus 로고    scopus 로고
    • Sociomicrobiology: The connections between quorum sensing and biofilms
    • M.R. Parsek, and E.P. Greenberg Sociomicrobiology: the connections between quorum sensing and biofilms Trends Microbiol. 13 2005 27 33
    • (2005) Trends Microbiol. , vol.13 , pp. 27-33
    • Parsek, M.R.1    Greenberg, E.P.2
  • 125
    • 0014245158 scopus 로고
    • Kinetics of biopolymerization on nucleic acid templates
    • C.T. MacDonald, J.H. Gibbs, and A.C. Pipkin Kinetics of biopolymerization on nucleic acid templates Biopolymers 6 1968 1
    • (1968) Biopolymers , vol.6 , pp. 1
    • MacDonald, C.T.1    Gibbs, J.H.2    Pipkin, A.C.3
  • 126
    • 77249167474 scopus 로고    scopus 로고
    • Exactly solvable models for many-body systems far from equilibrium
    • Academic Press
    • G.M. Schtz Exactly solvable models for many-body systems far from equilibrium Phase Transitions and Critical Phenomena vol. 19 2001 Academic Press 1 251
    • (2001) Phase Transitions and Critical Phenomena , vol.19 , pp. 1-251
    • Schtz, G.M.1
  • 128
    • 0000829680 scopus 로고
    • Contact interactions on a lattice
    • T.E. Harris Contact interactions on a lattice Ann. Probab. 2 1974 969 988
    • (1974) Ann. Probab. , vol.2 , pp. 969-988
    • Harris, T.E.1
  • 129
    • 0034334818 scopus 로고    scopus 로고
    • Non-equilibrium critical phenomena and phase transitions into absorbing states
    • H. Hinrichsen Non-equilibrium critical phenomena and phase transitions into absorbing states Adv. in Phys. 49 2000 815 958
    • (2000) Adv. in Phys. , vol.49 , pp. 815-958
    • Hinrichsen, H.1
  • 131
    • 0015723047 scopus 로고
    • Model for spatial conflict
    • P. Clifford, and A. Sudbury Model for spatial conflict Biometrika 60 1973 581 588
    • (1973) Biometrika , vol.60 , pp. 581-588
    • Clifford, P.1    Sudbury, A.2
  • 132
    • 0000359562 scopus 로고
    • Survival of contact processes
    • R. Holley, and T.M. Liggett Survival of contact processes Ann. Probab. 6 1978 198 206
    • (1978) Ann. Probab. , vol.6 , pp. 198-206
    • Holley, R.1    Liggett, T.M.2
  • 134
    • 4243814617 scopus 로고    scopus 로고
    • Spatial organization in cyclic LotkaVolterra systems
    • L. Frachebourg, P.L. Krapivsky, and E. Ben-Naim Spatial organization in cyclic LotkaVolterra systems Phys. Rev. E 54 1996 6186 6200
    • (1996) Phys. Rev. e , vol.54 , pp. 6186-6200
    • Frachebourg, L.1    Krapivsky, P.L.2    Ben-Naim, E.3
  • 135
    • 0001513650 scopus 로고    scopus 로고
    • Segregation in a one-dimensional model of interacting species
    • L. Frachebourg, P.L. Krapivsky, and E. Ben-Naim Segregation in a one-dimensional model of interacting species Phys. Rev. Lett. 77 1996 2125
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 2125
    • Frachebourg, L.1    Krapivsky, P.L.2    Ben-Naim, E.3


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