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, 409-457. https://doi.org/10.1016/j.spa.2023.03.004
    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), 2400-2447. https://doi.org/10.1214/21-AAP1736
    PUB | DOI | WoS
     
  • [52]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2953579 OA
    Alberti, F., Baake, E., Letter, I., & Martinez, S. (2021). Solving the migration-recombination equation from a genealogical point of view. Journal of mathematical biology, 82(5), 41 . https://doi.org/10.1007/s00285-021-01584-4
    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. https://doi.org/10.1016/j.tpb.2021.08.001
    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, 743-793. https://doi.org/10.25537/dm.2021v26.743-793
    PUB | DOI | WoS
     
  • [49]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936339
    Baake, E., Gonzalez Casanova, A., Probst, S., & Wakolbinger, A. (2019). Modelling and simulating Lenski's long-term evolution experiment. THEORETICAL POPULATION BIOLOGY, 127, 58-74. doi:10.1016/j.tpb.2019.03.006
    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), 795-820. doi:10.1007/s00285-018-1228-8
    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), 156-174. doi:10.1007/s10955-017-1921-9
    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), 63-95. https://doi.org/10.3934/dcds.2016.36.63
    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), 6645-6656. doi:10.3934/dcds.2016088
    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. doi:10.1214/16-ecp16
    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), 161-197. doi:10.1007/s00285-015-0936-6
    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., Kluth, S., Baake, E., & Wakolbinger, A. (2015). Looking down in the ancestral selection graph: A probabilistic approach to the common ancestor type distribution. Theoretical Population Biology, 103, 27-37. doi:10.1016/j.tpb.2015.01.005
    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), 1371-1402. doi:10.1007/s00285-013-0662-x
    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), 2003-2027. doi:10.1007/s11538-013-9871-0
    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, 104-112. doi:10.1016/j.tpb.2013.09.009
    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), 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), 727-760. https://doi.org/10.1007/s00285-009-0277-4
    PUB | DOI | WoS | PubMed | Europe PMC
     
  • [34]
    2010 | Konferenzbeitrag | PUB-ID: 2377283
    Baake, E. (2010). Deterministic and stochastic aspects of single-crossover recombination. 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, 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), 537-566. https://doi.org/10.1007/s10955-008-9672-2
    PUB | DOI | WoS
     
  • [31]
    2008 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 2378061
    Baake, E., & Lipsmeier, F. (2008). Rare event simulation in immunobiology. 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), 603-624. https://doi.org/10.1007/s11538-007-9270-5
    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, 33-52. https://doi.org/10.4064/bc80-0-2
    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), 841-861. https://doi.org/10.1007/s00285-008-0191-1
    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), 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), 257-303. https://doi.org/10.1007/s00285-006-0039-5
    PUB | DOI | WoS | PubMed | Europe PMC
     
  • [25]
    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1604953
    Baake, E., Baake, M., Bovier, A., & Klein, M. (2005). An asymptotic maximum principle for essentially linear evolution models. JOURNAL OF MATHEMATICAL BIOLOGY, 50(1), 83-114. https://doi.org/10.1007/s00285-004-0281-7
    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), 3-41. https://doi.org/10.4153/CJM-2003-001-0
    PUB | DOI | WoS | arXiv
     
  • [22]
    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613803
    Hermisson, J., Redner, O., Wagner, H., & Baake, E. (2002). Mutation-selection balance: Ancestry, load, and maximum principle. THEORETICAL POPULATION BIOLOGY, 62(1), 9-46. https://doi.org/10.1006/tpbi.2002.1582
    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, 93-117.
    PUB
     
  • [20]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2378040
    Baake, E. (2001). Mutation and recombination with tight linkage. JOURNAL OF MATHEMATICAL BIOLOGY, 42, 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, 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: 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, 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), 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), 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 (Vol. II, pp. 821-825). Singapore: World Scientific.
    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, 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 (pp. 1-15). Singapore: World Scientific.
    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), 321-343.
    PUB
     
  • [10]
    1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2378431
    Baake, E. (1995). Diploid models on sequence space. JOURNAL OF BIOLOGICAL SYSTEMS, 3, 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, 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), 74-82. https://doi.org/10.1016/0375-9601(93)90497-N
    PUB | PDF | DOI | WoS
     
  • [7]
    1992 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1775599 OA
    Baake, E., Baake, M., Bock, H. G., & Briggs, K. M. (1992). Fitting ordinary differential equations to chaotic data. Physical Review A, 45(8), 5524-5529. https://doi.org/10.1103/PhysRevA.45.5524
    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), 999-1021. https://doi.org/10.1007/BF02460663
    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 (pp. 443-449). Dordrecht: Kluwer.
    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), 19-28. https://doi.org/10.1007/BF00048973
    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), 685-690. https://doi.org/10.1104/pp.83.3.685
    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), 347-365. https://doi.org/10.1016/S0022-5193(86)80250-8
    PUB | PDF | DOI | WoS
     

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