54 Publikationen

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  • [54]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2979037
    Baake, E., Esercito, L., & Hummel, S., 2023. Lines of descent in a Moran model with frequency-dependent selection and mutation. Stochastic Processes and their Applications, 160, p 409-457.
    PUB | DOI | WoS
     
  • [53]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2965524
    Baake, E., Cordero, F., & Hummel, S., 2022. Lines of descent in the deterministic mutation–selection model with pairwise interaction. Annals of Applied Probability, 32(4), p 2400-2447.
    PUB | DOI | WoS
     
  • [52]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2953579 OA
    Alberti, F., et al., 2021. Solving the migration-recombination equation from a genealogical point of view. Journal of mathematical biology, 82(5): 41 .
    PUB | PDF | DOI | WoS | PubMed | Europe PMC
     
  • [51]
    2021 | Zeitschriftenaufsatz | Im Druck | PUB-ID: 2957507
    Alberti, F., Herrmann, C., & Baake, E., In Press. Selection, recombination, and the ancestral initiation graph. Theoretical population biology.
    PUB | DOI | WoS | PubMed | Europe PMC
     
  • [50]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2957017
    Alberti, F., & Baake, E., 2021. Solving the Selection-Recombination Equation: Ancestral Lines and Dual Processes. Documenta Mathematica , 26, p 743-793.
    PUB | DOI | WoS
     
  • [49]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936339
    Baake, E., et al., 2019. Modelling and simulating Lenski's long-term evolution experiment. THEORETICAL POPULATION BIOLOGY, 127, p 58-74.
    PUB | DOI | WoS | PubMed | Europe PMC
     
  • [48]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931242
    Baake, E., Cordero, F., & Hummel, S., 2018. A probabilistic view on the deterministic mutation-selection equation: dynamics, equilibria, and ancestry via individual lines of descent. JOURNAL OF MATHEMATICAL BIOLOGY, 77(3), p 795-820.
    PUB | DOI | WoS | PubMed | Europe PMC
     
  • [47]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920936
    Baake, E., & Wakolbinger, A., 2018. Lines of Descent Under Selection. JOURNAL OF STATISTICAL PHYSICS, 172(1), p 156-174.
    PUB | DOI | WoS
     
  • [46]
    2017 | Preprint | PUB-ID: 2908549
    Baake, E., & Esser, M., 2017. Fragmentation process, pruning poset for rooted forests, and Möbius inversion. arXiv:1702.03173.
    PUB | Download (ext.) | arXiv
     
  • [45]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2780316
    Baake, E., Baake, M., & Salamat, M., 2016. The general recombination equation in continuous time and its solution. Discrete and Continuous Dynamical Systems, 36(1), p 63-95.
    PUB | DOI | WoS
     
  • [44]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2908021
    Baake, E., & Baake, M., 2016. Haldane linearisation done right: Solving the nonlinear recombination equation the easy way. Discrete and Continuous Dynamical Systems. A, 36(12), p 6645-6656.
    PUB | DOI | WoS | arXiv
     
  • [43]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2908405
    Baake, E., Lenz, U., & Wakolbinger, A., 2016. The common ancestor type distribution of a $\Lambda$-Wright-Fisher process with selection and mutation. Electronic Communications in Probability, 21: 59.
    PUB | DOI | WoS
     
  • [42]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904686
    Esser, M., Probst, S., & Baake, E., 2016. Partitioning, duality, and linkage disequilibria in the Moran model with recombination. JOURNAL OF MATHEMATICAL BIOLOGY, 73(1), p 161-197.
    PUB | DOI | WoS | PubMed | Europe PMC
     
  • [41]
    2015 | Preprint | PUB-ID: 2908408
    Baake, E., & Wakolbinger, A., 2015. Feller's Contributions to Mathematical Biology. arXiv:1501.05278.
    PUB | arXiv
     
  • [40]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2766816
    Lenz, U., et al., 2015. Looking down in the ancestral selection graph: A probabilistic approach to the common ancestor type distribution. Theoretical Population Biology, 103, p 27-37.
    PUB | DOI | WoS | PubMed | Europe PMC
     
  • [39]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2677355
    Baake, E., & von Wangenheim, U., 2014. Single-crossover recombination and ancestral recombination trees. Journal of Mathematical Biology, 68(6), p 1371-1402.
    PUB | DOI | WoS | PubMed | Europe PMC
     
  • [38]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635471
    Kluth, S., Hustedt, T., & Baake, E., 2013. The Common Ancestor Process Revisited. Bulletin Of Mathematical Biology, 75(11), p 2003-2027.
    PUB | DOI | WoS | PubMed | Europe PMC
     
  • [37]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2645211
    Kluth, S., & Baake, E., 2013. The Moran model with selection: Fixation probabilities, ancestral lines, and an alternative particle representation. Theoretical Population Biology, 90, p 104-112.
    PUB | DOI | WoS | PubMed | Europe PMC
     
  • [36]
    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2377270
    Baake, E., & Hustedt, T., 2011. Moment closure in a Moran model with recombination. Markov Processes Relat. Fields, 17(3), p 429-446.
    PUB | arXiv
     
  • [35]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796454
    von Wangenheim, U., Baake, E., & Baake, M., 2010. Single-crossover recombination in discrete time. JOURNAL OF MATHEMATICAL BIOLOGY, 60(5), p 727-760.
    PUB | DOI | WoS | PubMed | Europe PMC
     
  • [34]
    2010 | Konferenzbeitrag | PUB-ID: 2377283
    Baake, E., 2010. Deterministic and stochastic aspects of single-crossover recombination. In Proceedings of the International Congress of Mathematicians, Hyderabad 2010, ed. R. Bhatia, Hindustan Book Agency, New Delhi, Vol. IV, pp. 3038--3053.
    PUB | arXiv
     
  • [33]
    2009 | Zeitschriftenaufsatz | PUB-ID: 2378093
    Baake, E., 2009. Deterministic and stochastic aspects of recombination. Oberwolfach Reports, 6, p 1366.
    PUB
     
  • [32]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1635450
    Lipsmeier, F., & Baake, E., 2009. Rare Event Simulation for T-cell Activation. JOURNAL OF STATISTICAL PHYSICS, 134(3), p 537-566.
    PUB | DOI | WoS
     
  • [31]
    2008 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 2378061
    Baake, E., & Lipsmeier, F., 2008. Rare event simulation in immunobiology. In Proceedings of the 7th International Workshop on Rare Event Simulation RESIM 2008, Rennes, France.
    PUB
     
  • [30]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1630777
    Baake, E., & Herms, I., 2008. Single-crossover dynamics: Finite versus infinite populations. BULLETIN OF MATHEMATICAL BIOLOGY, 70(2), p 603-624.
    PUB | DOI | WoS | PubMed | Europe PMC
     
  • [29]
    2008 | Zeitschriftenaufsatz | PUB-ID: 1927750
    Bialowons, R., & Baake, E., 2008. Ancestral processes with selection: Branching and Moran models. Banach Center Publications, 80, p 33-52.
    PUB | DOI | arXiv
     
  • [28]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586423
    Zint, N., Baake, E., & den Hollander, F., 2008. How T-cells use large deviations to recognize foreign antigens. JOURNAL OF MATHEMATICAL BIOLOGY, 57(6), p 841-861.
    PUB | DOI | WoS | PubMed | Europe PMC
     
  • [27]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2378105
    Baake, E., 2007. Are mutations spontaneous or directed. Nieuw Archief voor Wiskunde, 5/8(3), p 171-174.
    PUB
     
  • [26]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1595869
    Baake, E., & Georgii, H.-O., 2007. Mutation, selection, and ancestry in branching models: a variational approach. JOURNAL OF MATHEMATICAL BIOLOGY, 54(2), p 257-303.
    PUB | DOI | WoS | PubMed | Europe PMC
     
  • [25]
    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1604953
    Baake, E., et al., 2005. An asymptotic maximum principle for essentially linear evolution models. JOURNAL OF MATHEMATICAL BIOLOGY, 50(1), p 83-114.
    PUB | DOI | WoS | PubMed | Europe PMC
     
  • [24]
    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2377274
    Georgii, H.-O., & Baake, E., 2003. Supercritical multitype branching processes: the ancestral types of typical individuals. Adv. Appl. Prob. 35 (2003), 1090-1110.
    PUB | arXiv
     
  • [23]
    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1927781
    Baake, M., & Baake, E., 2003. An exactly solved model for mutation, recombination and selection. Canadian Journal of Mathematics, 55(1), p 3-41.
    PUB | DOI | WoS | arXiv
     
  • [22]
    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613803
    Hermisson, J., et al., 2002. Mutation-selection balance: Ancestry, load, and maximum principle. THEORETICAL POPULATION BIOLOGY, 62(1), p 9-46.
    PUB | DOI | WoS | PubMed | Europe PMC
     
  • [21]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2377995
    Baake, E., & Wagner, H., 2001. Mutation-selection models solved exactly with methods of statistical mechanics. GENETICS RESEARCH, 78, p 93-117.
    PUB
     
  • [20]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2378040
    Baake, E., 2001. Mutation and recombination with tight linkage. JOURNAL OF MATHEMATICAL BIOLOGY, 42, p 455-488.
    PUB
     
  • [19]
    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2378046
    Baake, E., & von Haeseler, A., 1999. Distance measures in terms of substitution processes. THEORETICAL POPULATION BIOLOGY, 55, p 166-175.
    PUB
     
  • [18]
    1999 | Sammelwerksbeitrag | PUB-ID: 1927777
    Gabriel, W., & Baake, E., 1999. Biological evolution through mutation, selection, and drift: An introductory review. In in: Ann. Rev. Comp. Phys. VII (D. Stauffer, ed.), pp. 203-264 (World Scientific, Singapore, 2000).
    PUB | arXiv
     
  • [17]
    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2378116
    Baake, E., 1998. What can and what cannot be inferred from pairwise sequence comparisons? MATHEMATICAL BIOSCIENCES, 154, p 1-21.
    PUB
     
  • [16]
    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2378123
    Wagner, H., Baake, E., & Gerisch, T., 1998. Ising quantum chain and sequence evolution. JOURNAL OF STATISTICAL PHYSICS, 92(5/6), p 1017-1052.
    PUB
     
  • [15]
    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2378127
    Baake, E., Baake, M., & Wagner, H., 1998. Quantum mechanics versus classical probabilities in biological evolution. PHYSICAL REVIEW E, 57(1), p 1191-1192.
    PUB
     
  • [14]
    1997 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2378442
    Wagner, H., & Baake, E., 1997. Ising quantum chain and biological evolution. In H. - D. Doebner, P. Nattermann, & W. Scherer, eds. Physical Applications and Mathematical Aspects of Geometry, Groups and Algebras. no.II Singapore: World Scientific, pp. 821-825.
    PUB
     
  • [13]
    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2378376
    Baake, E., Baake, M., & Wagner, H., 1997. Ising quantum chain is equivalent to a model of biological evolution. PHYSICAL REVIEW LETTERS, 78, p 559-562.
    PUB
     
  • [12]
    1997 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2378438
    Baake, E., 1997. Diploid sequence space, dominance, and evolution. In O. Arino, D. Axelrod, & M. Kimmel, eds. Advances in Mathematical Population Dynamics - Molecules, Cells and Man. Singapore: World Scientific, pp. 1-15.
    PUB
     
  • [11]
    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2378139
    Baake, E., & Wiehe, T., 1997. Bifurcations in haploid and diploid sequence space models. JOURNAL OF MATHEMATICAL BIOLOGY, 35(3), p 321-343.
    PUB
     
  • [10]
    1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2378431
    Baake, E., 1995. Diploid models on sequence space. JOURNAL OF BIOLOGICAL SYSTEMS, 3, p 343-349.
    PUB
     
  • [9]
    1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2378422
    Wiehe, T., Baake, E., & Schuster, P., 1995. Error propagation in reproduction of diploid organisms. A case study on single peaked landscapes. JOURNAL OF THEORETICAL BIOLOGY, 177, p 1-15.
    PUB
     
  • [8]
    1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1775603 OA
    Baake, M., Baake, E., & Eich, E., 1993. On the role of invariants for the parameter estimation problem in Hamiltonian systems. Physics letters, 180(1-2), p 74-82.
    PUB | PDF | DOI | WoS
     
  • [7]
    1992 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1775599 OA
    Baake, E., et al., 1992. Fitting ordinary differential equations to chaotic data. Physical Review A, 45(8), p 5524-5529.
    PUB | PDF | DOI | WoS | PubMed | Europe PMC
     
  • [6]
    1992 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1775596 OA
    Baake, E., & Schlöder, J.P., 1992. Modelling the fast fluorescence rise of photosynthesis. Bulletin of mathematical biology, 54(6), p 999-1021.
    PUB | PDF | DOI | WoS
     
  • [5]
    1990 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2378459
    Baake, E., & Strasser, R.J., 1990. A differential equation model for the description of the fast fluorescence rise (O-I-D-P-transient) in leaves. In M. Baltscheffsky, ed. Current Research in Photosynthesis. Dordrecht: Kluwer, pp. 443-449.
    PUB
     
  • [4]
    1990 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1775593 OA
    Pfündel, E., & Baake, E., 1990. A quantitative description of fluorescence excitation spectra in intact bean leaves greened under intermittent light. Photosynthesis Research, 26(1), p 19-28.
    PUB | PDF | DOI
     
  • [3]
    1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2378482
    Baake, E., & Strasser, R.J., 1989. A differential equation model for the description of the fast fluorescence rise (O-I-D-P-transient) in leaves. PHYSIOLOGIA PLANTARUM, 76.
    PUB
     
  • [2]
    1987 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1785358 OA
    Buff, E., Baake, M., & Sievers, A., 1987. An Empirical Function for the Description of Root Growth. Plant Physiology, 83(3), p 685-690.
    PUB | PDF | DOI | WoS | PubMed | Europe PMC
     
  • [1]
    1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1785355 OA
    Baake, M., & Buff, E., 1986. From cell growth to root growth. Journal of Theoretical Biology, 123(3), p 347-365.
    PUB | PDF | DOI | WoS
     

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