PUB - Publikationen an der Universität Bielefeld

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• [55]
  

  2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2989114

  Baake, E., Cordero, F., and Di Gaspero, E. (2024). The mutation process on the ancestral line under selection. Theoretical population biology.

  PUB | DOI | WoS | PubMed | Europe PMC
   
• [54]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2979037

  Baake, E., Esercito, L., and Hummel, S. (2023). Lines of descent in a Moran model with frequency-dependent selection and mutation. Stochastic Processes and their Applications 160, 409-457.

  PUB | DOI | WoS
   
• [53]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2965524

  Baake, E., Cordero, F., and Hummel, S. (2022). Lines of descent in the deterministic mutation–selection model with pairwise interaction. Annals of Applied Probability 32, 2400-2447.

  PUB | DOI | WoS
   
• [52]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2953579

  Alberti, F., Baake, E., Letter, I., and Martinez, S. (2021). Solving the migration-recombination equation from a genealogical point of view. Journal of mathematical biology 82:41 .

  PUB | PDF | DOI | WoS | PubMed | Europe PMC
   
• [51]
  

  2021 | Zeitschriftenaufsatz | Im Druck | PUB-ID: 2957507

  Alberti, F., Herrmann, C., and 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., and Baake, E. (2021). Solving the Selection-Recombination Equation: Ancestral Lines and Dual Processes. Documenta Mathematica 26, 743-793.

  PUB | DOI | WoS
   
• [49]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936339

  Baake, E., Gonzalez Casanova, A., Probst, S., and Wakolbinger, A. (2019). Modelling and simulating Lenski's long-term evolution experiment. THEORETICAL POPULATION BIOLOGY 127, 58-74.

  PUB | DOI | WoS | PubMed | Europe PMC
   
• [48]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931242

  Baake, E., Cordero, F., and 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, 795-820.

  PUB | DOI | WoS | PubMed | Europe PMC
   
• [47]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920936

  Baake, E., and Wakolbinger, A. (2018). Lines of Descent Under Selection. JOURNAL OF STATISTICAL PHYSICS 172, 156-174.

  PUB | DOI | WoS
   
• [46]
  

  2017 | Preprint | PUB-ID: 2908549

  Baake, E., and 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., and Salamat, M. (2016). The general recombination equation in continuous time and its solution. Discrete and Continuous Dynamical Systems 36, 63-95.

  PUB | DOI | WoS
   
• [44]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2908021

  Baake, E., and Baake, M. (2016). Haldane linearisation done right: Solving the nonlinear recombination equation the easy way. Discrete and Continuous Dynamical Systems. A 36, 6645-6656.

  PUB | DOI | WoS | arXiv
   
• [43]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2908405

  Baake, E., Lenz, U., and 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., and Baake, E. (2016). Partitioning, duality, and linkage disequilibria in the Moran model with recombination. JOURNAL OF MATHEMATICAL BIOLOGY 73, 161-197.

  PUB | DOI | WoS | PubMed | Europe PMC
   
• [41]
  

  2015 | Preprint | PUB-ID: 2908408

  Baake, E., and 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., and 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.

  PUB | DOI | WoS | PubMed | Europe PMC
   
• [39]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2677355

  Baake, E., and von Wangenheim, U. (2014). Single-crossover recombination and ancestral recombination trees. Journal of Mathematical Biology 68, 1371-1402.

  PUB | DOI | WoS | PubMed | Europe PMC
   
• [38]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635471

  Kluth, S., Hustedt, T., and Baake, E. (2013). The Common Ancestor Process Revisited. Bulletin Of Mathematical Biology 75, 2003-2027.

  PUB | DOI | WoS | PubMed | Europe PMC
   
• [37]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2645211

  Kluth, S., and Baake, E. (2013). The Moran model with selection: Fixation probabilities, ancestral lines, and an alternative particle representation. Theoretical Population Biology 90, 104-112.

  PUB | DOI | WoS | PubMed | Europe PMC
   
• [36]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2377270

  Baake, E., and Hustedt, T. (2011). Moment closure in a Moran model with recombination. Markov Processes Relat. Fields 17, 429-446.

  PUB | arXiv
   
• [35]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796454

  von Wangenheim, U., Baake, E., and Baake, M. (2010). Single-crossover recombination in discrete time. JOURNAL OF MATHEMATICAL BIOLOGY 60, 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, 1366.

  PUB
   
• [32]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1635450

  Lipsmeier, F., and Baake, E. (2009). Rare Event Simulation for T-cell Activation. JOURNAL OF STATISTICAL PHYSICS 134, 537-566.

  PUB | DOI | WoS
   
• [31]
  

  2008 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 2378061

  Baake, E., and 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., and Herms, I. (2008). Single-crossover dynamics: Finite versus infinite populations. BULLETIN OF MATHEMATICAL BIOLOGY 70, 603-624.

  PUB | DOI | WoS | PubMed | Europe PMC
   
• [29]
  

  2008 | Zeitschriftenaufsatz | PUB-ID: 1927750

  Bialowons, R., and Baake, E. (2008). Ancestral processes with selection: Branching and Moran models. Banach Center Publications 80, 33-52.

  PUB | DOI | arXiv
   
• [28]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586423

  Zint, N., Baake, E., and den Hollander, F. (2008). How T-cells use large deviations to recognize foreign antigens. JOURNAL OF MATHEMATICAL BIOLOGY 57, 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, 171-174.

  PUB
   
• [26]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1595869

  Baake, E., and Georgii, H. - O. (2007). Mutation, selection, and ancestry in branching models: a variational approach. JOURNAL OF MATHEMATICAL BIOLOGY 54, 257-303.

  PUB | DOI | WoS | PubMed | Europe PMC
   
• [25]
  

  2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1604953

  Baake, E., Baake, M., Bovier, A., and Klein, M. (2005). An asymptotic maximum principle for essentially linear evolution models. JOURNAL OF MATHEMATICAL BIOLOGY 50, 83-114.

  PUB | DOI | WoS | PubMed | Europe PMC
   
• [24]
  

  2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2377274

  Georgii, H. - O., and 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., and Baake, E. (2003). An exactly solved model for mutation, recombination and selection. Canadian Journal of Mathematics 55, 3-41.

  PUB | DOI | WoS | arXiv
   
• [22]
  

  2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613803

  Hermisson, J., Redner, O., Wagner, H., and Baake, E. (2002). Mutation-selection balance: Ancestry, load, and maximum principle. THEORETICAL POPULATION BIOLOGY 62, 9-46.

  PUB | DOI | WoS | PubMed | Europe PMC
   
• [21]
  

  2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2377995

  Baake, E., and 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., and 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., and 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, 1-21.

  PUB
   
• [16]
  

  1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2378123

  Wagner, H., Baake, E., and Gerisch, T. (1998). Ising quantum chain and sequence evolution. JOURNAL OF STATISTICAL PHYSICS 92, 1017-1052.

  PUB
   
• [15]
  

  1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2378127

  Baake, E., Baake, M., and Wagner, H. (1998). Quantum mechanics versus classical probabilities in biological evolution. PHYSICAL REVIEW E 57, 1191-1192.

  PUB
   
• [14]
  

  1997 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2378442

  Wagner, H., and Baake, E. (1997). “Ising quantum chain and biological evolution” in Physical Applications and Mathematical Aspects of Geometry, Groups and Algebras, Doebner, H. - D., Nattermann, P., and Scherer, W. eds., vol. II, (Singapore: World Scientific), 821-825.

  PUB
   
• [13]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2378376

  Baake, E., Baake, M., and 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 Advances in Mathematical Population Dynamics - Molecules, Cells and Man, Arino, O., Axelrod, D., and Kimmel, M. eds. (Singapore: World Scientific), 1-15.

  PUB
   
• [11]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2378139

  Baake, E., and Wiehe, T. (1997). Bifurcations in haploid and diploid sequence space models. JOURNAL OF MATHEMATICAL BIOLOGY 35, 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., and 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

  Baake, M., Baake, E., and Eich, E. (1993). On the role of invariants for the parameter estimation problem in Hamiltonian systems. Physics letters 180, 74-82.

  PUB | PDF | DOI | WoS
   
• [7]
  

  1992 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1775599

  Baake, E., Baake, M., Bock, H. G., and Briggs, K. M. (1992). Fitting ordinary differential equations to chaotic data. Physical Review A 45, 5524-5529.

  PUB | PDF | DOI | WoS | PubMed | Europe PMC
   
• [6]
  

  1992 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1775596

  Baake, E., and Schlöder, J. P. (1992). Modelling the fast fluorescence rise of photosynthesis. Bulletin of mathematical biology 54, 999-1021.

  PUB | PDF | DOI | WoS
   
• [5]
  

  1990 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2378459

  Baake, E., and Strasser, R. J. (1990). “A differential equation model for the description of the fast fluorescence rise (O-I-D-P-transient) in leaves” in Current Research in Photosynthesis, Baltscheffsky, M. ed. (Dordrecht: Kluwer), 443-449.

  PUB
   
• [4]
  

  1990 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1775593

  Pfündel, E., and Baake, E. (1990). A quantitative description of fluorescence excitation spectra in intact bean leaves greened under intermittent light. Photosynthesis Research 26, 19-28.

  PUB | PDF | DOI
   
• [3]
  

  1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2378482

  Baake, E., and 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

  Buff, E., Baake, M., and Sievers, A. (1987). An Empirical Function for the Description of Root Growth. Plant Physiology 83, 685-690.

  PUB | PDF | DOI | WoS | PubMed | Europe PMC
   
• [1]
  

  1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1785355

  Baake, M., and Buff, E. (1986). From cell growth to root growth. Journal of Theoretical Biology 123, 347-365.

  PUB | PDF | DOI | WoS