Publication list

1. L. Meyer, T. Eifrig, U. Behn, W. Weller, Side bands in the Hubbard III solution near the band limit, phys. stat. sol. (b) 76, K23-K25 (1976); ibid. 77, K79 (1976).

2. U. Behn, H. Zinke, On the density of states at the Fermi level for normal systems, phys. stat. sol. (b) 84, 649-652 (1977).

3. U. Behn, On the Ward identities for the Hubbard model: Particle number conservation and the analytical structure of the self-energy, phys. stat. sol. (b) 88, 699-704 (1978).

4. U. Behn, W. Weller, On functional Fourier transformation for the Hubbard model and similar models, phys. stat. sol. (b) 99, 71-77 (1980).

5. U. Behn, Poisson approximation to a functional approach for the Hubbard model, phys. stat. sol. (b) 100, 129-133 (1980).

6. U. Behn, Functional Fourier transformation and Poisson approximation for models with Hubbard like interaction, Invited lecture for the Vth International School on Theoretical Physics, Wisla, Poland, September 1980 (Preprint).

7. U. Behn, Single-site and all-site Poisson approximation for the Hubbard model, JINR E17-80-652, Dubna 1980.

8. U. Behn, Nearest neighbour Poisson approximation to a functional Approach for the Hubbard model, phys. stat. sol. (b) 104, 203-207 (1981).

9. U. Behn, On electron motion in a Poisson correlated discrete stochastic potential, Proc. 4th International Seminar on Magnetism, Hetzdorf, April 7-10, 1981, in: Wissenschaftl. Zeitschrift der HfV "Friedrich List" Dresden, Sonderbeilage Nr. 3/81, 165-169.

10. U. Behn, Tight binding quasiparticle motion in a Poisson correlated discrete stochastic potential: The density of states, phys. stat sol. (b) 113, 219-226 (1982).

11. U. Behn, Quasiparticle motion in a dichotomous stochastic potential: Comparison of a decoupling approach with the dynamic CPA, phys. stat sol. (b) 118, K151-K153 (1983).

12. U. Behn, Systems under influence of dichotomous noise, in: Static Critical Phenomena in Inhomogeneous Systems, Proc. XX Karpacz Winter School on Theoretical Physics, Eds. A. Pekalski, J. Sznajd, Springer Lecture Notes in Physics 4206, 305-313, Springer, Berlin 1984.

13. U. Behn, K. Schiele, Noise induced transition in a simple nonlinear model driven by dichotomous Markovian noise, JINR E17-84-300, Dubna 1984.

14. U. Behn, K. Schiele, A. Teubel, Rauschinduzierte Übergänge an einfachen nichtlinearen Systemen unter Einfluß von dichotomen Rauschen, Wiss. Zeitschrift Karl-Marx-Universität Leipzig, Math.- Naturwiss. R. 34, 602-613 (1985).

15. U. Behn, R. Müller, Electrohydrodynamic instabilities in nematic liquid crystals driven by a dichotomous stochastic voltage, Phys. Lett. A 113, 85-88 (1985).

16. P. Szepfalusy, U. Behn, Calculation of a characteristic fractal dimension in the one-dimensional random field Ising model, Z. Phys. B 65, 337-339 (1987).

17. U. Behn, Functional integral methods in the theory of electron correlation, Invited lecture for the Indian Summer School on Magnetism in Solids, Kuparovice, CSSR, Sept. 29-Oct. 11, 1986, Preprint, Naturwiss.-Theor. Zentrum der KMU Leipzig 1987.

18. U. Behn, V. A. Zagrebnov, One-dimensional random field Ising model and discrete stochastic mappings, JINR E17-87-138, Dubna 1987.

19. U. Behn, V. A. Zagrebnov, One-dimensional random field Ising model and discrete stochastic mappings, J. Stat. Phys. 47, 939-946 (1987).

20. U. Behn, K. Schiele, A. Teubel, A. Kühnel, Nonequilibrium transitions driven by external dichotomous noise, J. Stat. Phys. 47, 947 (1987).

21. A. Teubel, U. Behn, A. Kühnel, Stratonovich model driven by dichotomous noise: Dynamical Properties, Proc. 2. Tagung Stochastische Analysis, Wissenschaftl. Berichte IHS Zwickau, 146-150, 1986.

22. R. Müller, U. Behn, Electrohydrodynamic instabilities in liquid crystals under influence of a stochastic voltage, Proc. 2. Tagung Stochastische Analysis, Wissenschaftl. Berichte IHS Zwickau, 70-74, 1986.

23. U. Behn, V. A. Zagrebnov, One-dimensional Markovian field Ising chain and discrete stochastic mappings, Proc. 2. Tagung Stochastische Analysis, Wissenschaftl.Berichte IHS Zwickau, 3-7, 1986.

24. K. Schiele, U. Behn, Digitale Simulation dynamischer Eigenschaften einfacher nichtlinearer Systeme unter Einfluß von dichotomen Rauschen, Wiss. Zeitschrift Karl-Marx-Universität Leipzig, Math.- Naturwiss. R. 36, 409-416 (1987).

25. R. Müller, U. Behn, Electrohydrodynamic instabilities in nematic liquid crystals under dichotomous parametric modulation, Z. Phys. B 69, 185-192 (1987).

26. A. Teubel, U. Behn, A. Kühnel, Stratonovich model driven by dichotomous noise: Analytical results, Z. Phys. B 71, 393-402 (1988).

27. U. Behn, V. A. Zagrebnov, One-dimensional Markovian field Ising model: Physical properties and characteristics of the discrete stochastic mapping, J. Phys. A 21, 2151-2165 (1988).

28. U. Behn, V. A. Zagrebnov, Comment on "Random-field Ising model as a dynamical system", Phys. Rev. B 38, 7115-7116 (1988).

29. U. Behn, V. A. Zagrebnov, One-dimensional Markovian field Ising model and discrete stochastic mappings, in: Stochastic Methods in Mathematics and Physics, Proc. XXIV Karpacz Winter School, Eds. R. Gielerak, W. Karwowski, World Scientific, Singapore 1989, 251-259.

30. U. Behn, J. L. van Hemmen, On the theory of networks for the immune system, (Preprint 447, SFB 123 Stochastische mathematische Modelle, Univ. Heidelberg, 1988); in: Dynamical Networks, Eds. W. Ebeling, M. Peschel, Akademie-Verlag, Berlin 1989, 162-172.

31. U. Behn, J. L. van Hemmen, Network description of the immune system: Dormant B cells stabilize cycles, J. Stat. Phys. 56, 533-545 (1989).

32. U. Behn, K. Schiele, Stratonovich model driven by dichotomous noise: Mean first passage time, Z. Phys. B 77, 485-490 (1989).

33. A. Lange, U. Behn, A. Kühnel, Multifraktale Eigenschaften des 1d Ising-Modells mit stochastischem Feld, Proc. 3. Tagung Stochastische Analysis, Wissenschaftl. Berichte IHS Zwickau, 38-41, 1989.

34. R. Müller, U. Behn, Electrohydrodynamic instabilities in nematic liquid crystals driven by dichotomous stochastic fields: Stability criteria, Proc. 3. Tagung Stochastische Analysis, Wissenschaftl. Berichte IHS Zwickau, 42-45, 1989.

35. U. Behn, R. Müller, Electrohydrodynamic instabilities in nematics driven by dichotomous stochastic voltages, Proc. 10th Conference on Noise in Physical Systems, Budapest 1989, Ed. A. Ambrozy, Akademiai Kiado, Budapest 1990, 663-666.

36. R. Müller, U. Behn, EHD instabilities in nematics driven by dichotomous noise: Stability criteria and influence of free boundary conditions, Z. Phys. B 78, 229-234 (1990).

37. U. Behn, V. B. Priezzhev, V. A. Zagrebnov, One dimensional random field Ising model: Residual entropy, magnetization, and the "perestroyka" of the ground state, Physica A 167, 481-493 (1990).

38. U. Behn, R. Müller, A. Kühnel, Electrohydrodynamic instabilities in nematic liquid crystals: Stability criteria for stochastic excitation, Proc. 8th LCCSC, Krakow 1989, Mol. Cryst. Liq. Cryst. 193, 235-239 (1990).

39. U. Behn, K. Schiele, R. Müller, Mean first passage time and nonlinear relaxation time for nonlinear models driven by dichotomous noise, Proc. Rate Processes in Dissipative Systems: 50 Years after Kramers, Tutzing 1990, Ber. Bunsenges. Phys. Chem. 95, 337-342 (1991).

40. R. Müller, U. Behn, F. Haake, Dichotomous noise forbids detailed balance, Z. Phys. B 84, 327-328 (1991).

41. K. Lippert, K. Schiele, U. Behn, A. Kühnel, Noise induced bifurcations in simple nonlinear models, in: Proc. 7th Interdisciplinary Workshop on Nonlinear Coherent Structures in Physics and Biology, Dijon 1991, Eds. M. Peyrard and M. Remoissenet, Springer Lecture Note in Physics, Vol. 393, Springer, Heidelberg 1991, 302-309.

42. U. Behn, A. Lange, 1D random field Ising model and nonlinear dynamics, in: From Phase Transitions to Chaos, Topics in Modern Statistical Physics, Festschrift for Peter Szepfalusy, Eds. G. Györgyi, I. Kondor, L. Sasvari, T. Tel, World Scientific, Singapore 1992, 217-226.

43. U. Behn, J. L. van Hemmen, B. Sulzer, Memory B cells stabilize cycles in a repressive network, in: Theoretical and Experimental Insight into Immunology, NATO ASI Series H, Vol. 66, Eds. A. S. Perelson, G. Weisbuch, A. Coutinho, Springer, Heidelberg 1992, 249-260.

44. P. Jung, U. Behn, E. Pantazelou, F. Moss, Collective response in globally coupled bistable systems, Phys. Rev. A 46, R1709-R1712 (1992).

45. U. Behn, K. Lippert, C. Möller, J. L. van Hemmen, B. Sulzer, Memory in the immune system: Network theory including memory B cells and delay, in: Phase Transitions: Physics, Mathematics, Biology,..., Proc. Prague, June 1-5, 1992, Ed. R. Kotecky, World Scientific, Singapore 1993, 27-34.

46. U. Behn, J. L. van Hemmen, B. Sulzer, Memory to antigenic challenge of the immune system: Synergy of idiotypic interactions and memory B cells, J. theor. Biol. 165, 1-25 (1993).

47. U. Behn, R. Müller, P. Talkner, Mean first passage time for systems driven by pre-Gaussian noise: Natural boundary conditions, Phys. Rev. E 47, 3970-3974 (1993).

48. U. Behn, J. L. van Hemmen, R. Kühn, A. Lange, V. A. Zagrebnov, Multifractality in forgetful memories, Physica D 68, 401-415 (1993).

49. B. Sulzer, A. U. Neumann, J. L. van Hemmen, U. Behn, Memory in idiotypic networks due to competition between proliferation and differentiation, Bull. Math. Biol. 55, 1113-1182 (1993).

50. U. Behn, K. Lippert, C. Möller, J. L. van Hemmen, B. Sulzer, Memory in the immune system: Synergy of different strategies, Proc. European Conference on Artificial Life (ECAL), Brussels, May 24.-26., 1993, Eds. J.L. Deneubourg, S. Goss, G. Nicolis, H. Bersini, R. Dagonnier, T. Taylor, pp. 63-73.

51. B. Sulzer, J. L. van Hemmen, U. Behn, Central Immune System, the Self, and Autoimmunity, Bull. Math. Biol. 56, 1009-1040 (1994).

52. U. Behn, J. L. van Hemmen, R. Kühn, A. Lange, V. A. Zagrebnov, Multifractal properties of discrete stochastic mappings, in: Micro-, Meso-, and Macro Approaches in Physics, M. Fannes, C. Maes, A. Verbeure (Eds.), NATO ASI Series, Series B: Physics Vol. 324, Plenum Press, New York 1994, 399-404.

53. B. Sulzer, J. L. van Hemmen, A. U. Neumann, U. Behn, Idiotypic regulation of the immune response, in: Modellierung biologischer Prozesse: Das Immunsystem, R. Hofestädt, M. Löffler, K. Müller (Eds.) Informatik Berichte Nr. 99, Institut für Informatik der Universität Bonn 1995, 6-15.

54. B. Sulzer, J. L. van Hemmen, U. Behn, Idiotype-regulated tolerance and antigen-induced autoimmunity, in: Modellierung biologischer Prozesse: Das Immunsystem, R. Hofestädt, M. Löffler, K. Müller (Eds.) Informatik Berichte Nr. 99, Institut für Informatik der Universität Bonn 1995, 18-31.

55. K. Schiele, U. Behn, Inverted pendulum parametrically driven by dichotomous noise, ZAMM 76, 57-59 (1996).

56. A. Lange, R. Müller, U . Behn, Oblique rolls in nematic liquid crystals driven by stochastic fields: One-dimensional theory including the flexoeffect and three-dimensional theory, Z. Physik B 100, 477-488 (1996).

57. A. Düring, U. Behn, Controlling very long unstable periodic orbits in chaotic systems, Phys. Lett. A 230, 177-182 (1997).

58. R. Müller, K. Lippert, A. Kühnel, U. Behn, Noise induced phase transitions in spatially extended systems, in: Self-organization in activator inhibitor systems: Semiconductors, gas discharge and chemical active media, 157th WE-Heraeus-Seminar, March 4-6, 1996, Eds. H. Engel, F.-J. Niedernostheide, H.-G. Purwins, and E. Schöll, Wissenschaft und Technik Verlag, Berlin 1996, 246-251.

59. R. Müller, K. Lippert, A. Kühnel, U. Behn, First order nonequilibrium phase transition in a spatially extended system, Phys. Rev. E 56, 2658-2662 (1997).

60. H. Amm, U. Behn, Th. John, R. Stannarius, Electrohydrodynamic convection in nematics under stochastic excitation, Mol. Cryst. Liq. Cryst. 304, 525-530 (1997).

61. H. Patzlaff, U. Behn, A. Lange, Analytical explanation of a phase transition in the multifractal measure connected with a one-dimensional random field Ising model, in: FRACTAL FRONTIERS, Fractals in the Natural and Applied Sciences, Denver, Colorado, 8-11 April 1997, Eds. M. M. Novak and T. G. Dewey, World Scientific, Singapore 1997, 95-104.

62. K. Lippert, U. Behn, Modeling the immune system: Architecture and dynamics of idiotypic networks, in: Annual Reviews of Computational Physics, Vol. V, D. Stauffer (Ed.), World Scientific, Singapore 1997, 287-311.

63. M. Fricke, A. Kühnel, U. Behn, Electrohydrodynamic instabilities in nematic liquid crystals in periodic and stochastic electric fields, preprint: Universität Leipzig NTZ 47/1997.

64. U. Behn, F. Celada, P.E. Seiden, Modelli matematici in immunologia, in: Frontiere della Vita, Vol II, a c. di A. Lanzavecchia, B. Malissen, R. Sitia, Istituto della Enciclopedia Italiana, Roma 1998, 573-589.

65. U. Behn, A. Lange, Th. John, Electrohydrodynamic convection in liquid crystals driven by multiplicative noise: Sample stability, Phys. Rev. E 58, 2047-2060 (1998).

66. W. Pesch, U. Behn, Electrohydrodynamic convection in nematics, in: Evolution of Spontaneous Structures in Dissipative Continuous Systems, F. H. Busse, S. C. Müller (Eds.), Springer, Berlin 1998, 335-383.

67. Th. John, R. Stannarius, U. Behn, On-off intermittency in stochastically driven electrohydrodynamic convection in nematics, Phys. Rev. Lett. 83, 749-752 (1999).

68. K. Lippert, R. Müller, T. Birner, A. Kühnel, U. Behn, Noise induced phase transitions in spatially extended systems, Proc. Bogolyubov Conference "Problems of Theoretical and Mathematical Physics", 27 September - 6 October 1999, V. G. Kadyshevsky, A. N. Sissakian (Eds.), in: Physics of Elementary Particles and Atomic Nuclei, Vol. 31, part 7B, 150-155 (2000).

69. U. Behn, On-off intermittency and stochastic stability in nematics driven by multiplicative noise, in: Stochastic Processes in Physics, Chemistry, and Biology, J. A. Freund, T. Pöschel (Eds.), Lecture Notes in Physics 557, Springer-Verlag, Berlin Heidelberg 2000, 304-315.

70. U. Behn, H. Dambeck, G. Metzner, Modeling Th1-Th2 regulation, allergy, and hyposensitization, preprint: Universität Leipzig NTZ 48/1997; in: Dynamical Modeling in Biotechnology (Lectures presented at the EU Advanced Workshop, Torino, May 27-June 9, 1996), F. Bagnoli, S. Ruffo (Eds.), World Scientific, Singapore 2001, 227-243.

71. Th. Nowotny, H. Patzlaff, U. Behn, Orbits and phase transitions in the multifractal spectrum, J. Phys. A 34, 1-24 (2001).

72. Th. Nowotny, U. Behn, Convolution of multifractals and the local magnetization in a random field Ising chain, J. Phys. A 34, 8057-8079 (2001).

73. M. Brede, U. Behn, Architecture of idiotypic networks: Percolation and scaling behaviour, Phys. Rev. E 64, 011908 (2001).

74. U. Behn, F. Celada, P. E. Seiden, Computer modeling in immunology, in: Frontiers of Life, Vol. II, Part Two: The Immunological System, A. Lanzavecchia, B. Malissen and R. Sitia (Eds.), Academic Press, London 2001, 611-630.

75. Th. Nowotny, H. Patzlaff, U. Behn, Phase diagram of the random field Ising model on the Bethe lattice, Phys. Rev. E 65, 016127 (2001).

76. Th. Birner, K. Lippert, R. Müller, A. Kühnel, U. Behn, Critical behaviour of nonequilibrium phase transitions to magnetically ordered states, Phys. Rev. E 65, 046110 (2002).

77. U. Behn, Th. John, R. Stannarius, On-off Intermittency and stochastically driven convection in nematic liquid crystals, Proc. 6th Experimental Chaos Conference, 22-26 July 2001, Potsdam, Germany, Eds. S. Boccaletti, B. J. Gluckman, J. Kurths, L. M. Pecora, M. L. Spano, AIP Conference Proceedings 622, American Institute of Physics (2002), 381-392.

78. Th. John, U. Behn, R. Stannarius, Fundamental scaling laws of on-off intermittency in a stochastically driven dissipative pattern forming system, Phys. Rev. E 65, 046229 (2002).

79. J. Richter, G. Metzner, U. Behn, Mathematical Modelling of Venom Immunotherapy , J. Theor. Med. 4, 119-132 (2002).

80. M. Brede, U. Behn, Patterns in randomly evolving networks: Idiotypic networks, Phys. Rev. E 67, 031920 (2003).

81. T. John, U. Behn, R. Stannarius, Laser diffraction by periodic dynamic patterns in anisotropic fluids, Eur. Phys. J. B 35, 267-278 (2003).

82. J. Richter, U. Behn, G. Metzner, Modelling of Th1-Th2 Regulation, Allergy and Venom Immunotherapy, in: Clinical Immunology and Allergy in Medicine, Proc. 21st EAACI Congress 2002, Naples, G. Marone (Ed.), JGC Editions, Naples (2003), 257-262.

83. U. Behn, M. Brede, J. Richter, Nonlinear dynamics and statistical physics of models for the immune system, in: Function and regulation of cellular systems: Experiments and Models, A. Deutsch, J. Howard, M. Falcke, W. Zimmermann (Eds.), Birkhäuser, Basel (2004), 399-410.

84. A. Traulsen, K. Lippert, U. Behn, Generation of spatiotemporal correlated noise in 1+1 dimensions, Phys. Rev. E 69, 026116 (2004).

85. H. Schmidtchen, U. Behn, Randomly Evolving Idiotypic Networks: Analysis of Building Principles, in: Artificial Immune Systems, H. Bersini, J. Carneiro (Eds.), Proc. ICARIS 2006, Lecture Notes in Computational Sciences 4163, Springer-Verlag, Berlin Heidelberg (2006), 81-94.

86. U. Behn, Idiotypic networks: toward a renaissance?, Immunol. Rev. 216, 142-152 (2007).

87. R. Vogel, U. Behn, Th1-Th2 Regulation and Allergy: Bifurcation Analysis of the Non-autonomous System, in: Mathematical Modeling of Biological Systems, Volume II. A. Deutsch, R. Bravo de la Parra, R. de Boer, O. Diekmann, P. Jagers, E. Kisdi, M. Kretzschmar, P. Lansky and H. Metz (Eds.), Birkhäuser, Boston (2008), 145-155.

88. H. Schmidtchen, U. Behn, Architecture of Randomly Evolving Idiotypic Networks, in: Mathematical Modeling of Biological Systems, Volume II. A. Deutsch, R. Bravo de la Parra, R. de Boer, O. Diekmann, P. Jagers, E. Kisdi, M. Kretzschmar, P. Lansky and H. Metz (Eds.), Birkhäuser, Boston (2008), 157-167.

89. F. Senf, P.M. Altrock, U. Behn, Nonequilibrium phase transitions in finite arrays of globally coupled Stratonovich models: Strong coupling limit, New J. Phys. 11, 063010 (2009), 18 pp. Erratum: New J. Phys. 11, 089801 (2009), 1 p.

90. F. Groß, G. Metzner, U. Behn, Mathematical Modeling of Allergy and Specific Immunotherapy: Th1-Th2-Treg Interactions, J. Theor. Biol. 269, 70-78 (2011), doi:10.1016/j.jtbi.2010.10.013 (Final version online 30 October 2010).

91. M. Brede, U. Behn, Random Evolution of Idiotypic Networks: Dynamics and Architecture, in: Unifying Themes in Complex Systems, A. Minai, D. Braha, Y. Bar-Yam, (Eds.), Springer Berlin Heidelberg New York (2011), 49-56.

92. E. Martin, U. Behn, G. Germano, First-passage and first-exit times of a Bessel-like stochastic process, Phys. Rev. E 83, 051115 (2011), 16 pp.

93. M. Knorr, D. Koch, T. Fuhs, U. Behn, J.A. Käs, Stochastic Actin Dynamics in Lamellipodia Reveal Parameter Space for Cell Type Classification, Soft Matter 7, 3192-3203 (2011). DOI: 10.1039/C0SM01028F (Final version online 16 February 2011).

94. U. Behn, Idiotype Network, in: Encyclopedia of Life Sciences (ELS), John Wiley & Sons, Ltd, Chichester (2011), 1-11.
    DOI: 10.1002/9780470015902.a0000954.pub2 (Online posting date: 15th April 2011).

95. H. Schmidtchen, M. Thüne, U. Behn, Randomly Evolving Idiotypic Networks: Structural Properties and Architecture, Phys. Rev. E 86, 011930 (2012), 18 pp.

96. H. Schmidtchen, U. Behn, Randomly Evolving Idiotypic Networks: Modular Mean Field Theory, Phys. Rev. E 86, 011931 (2012), 13 pp.

97. R. Kürsten, S. Gütter, U. Behn, Critical manifold of globally coupled overdamped anharmonic oscillators driven by additive Gaussian white noise, Phys. Rev. E 88, 022114 (2013), 10 pp.

98. R. Schulz, B. Werner, U. Behn, Self tolerance in a minimal model of the idiotypic network, Frontiers in Immunology 5, 00086 (2014), 12 pp.
    DOI: 10.3389/fimmu.2014.00086

99. R. Kürsten, U. Behn, Patchwork Sampling of Stochastic Differential Equations, Phys. Rev. E 93, 033307 (2016), 14 pp.

100. R. Kürsten, U. Behn, Discontinuous transitions in globally coupled potential systems with additive noise, Phys. Rev. E. 94, 062135 (2016), 14 pp.

101. S. Landmann, N. Preuss, U. Behn, Self-tolerance and autoimmunity in a minimal model of the idiotypic network, J. Theor. Biol. 426, 17-39 (2017). doi.org/10.1016/j.jtbi.2017.05.004. Corrigendum: ibid. 447, 199 (2018). doi.org/10.1016/j.jtbi.2018.03.030.

102. M. Höckel, U. Behn, The order of cancer: A theory of malignant progression by inverse morphogenesis, Front. Oncol. 9, 416 (2019), 9 pp.

103. H. Kubitschke, B. Wolf, E. Morawetz, L.-C. Horn, B. Aktas, U. Behn, M. Höckel, J. Käs, Roadmap to local tumour growth: Insights from cervical cancer, Sci. Rep. 9, 12768 (2019).

104. M. Höckel, R. Kimmig, U. Behn, Cancer Field Surgery in Gynecologic Oncology, Springer 2025, 270 pp, ISBN 978-3031-83029-7.
     

     
     

     Miscellaneous
     

     Contributions to

     Brockhaus ABC Physik, 2. verbesserte Auflage, R. Lenk (Hrsg.), F. A. Brockhaus Verlag Leipzig 1989.