Biophysics, Transport of Ligands, Ion Channels

1. N. Alberding, H. Frauenfelder, and P. Hänggi
   Stochastic Theory of Ligand Migration in Biomolecules: CO-Myoglobin Binding
   Proc. Natl. Acad. Sci. 75, 26–29 (1978)
2. P. Hänggi
   Stochastic Theory for the Kinetics of Migration of Ligands in Biomolecules
   J. Theor. Biology 74, 337–359 (1978)
3. P. Hänggi
   Physics of Ligand Migration in Biomolecules
   J. Stat. Phys. 30, 401–412 (1983)
4. S. Siegert, R. Friedrich, and P. Hänggi
   Analysis of fluctuating data sets of diffusion processes
   in: Chaos in Brain?, K. Lehnertz, J. Arnhold, P. Grassberger, and C. E. Elger, eds., pp. 226–230, World Scientific, Singapore (2000)
5. L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni
   Stochastic Resonance
   Rev. Mod. Phys. 70, 223–288 (1998)
6. I. Goychuk and P. Hänggi
   Stochastic Resonance in Ion Channels Characterized by Information Theory
   Phys. Rev. E 61, 4272–4280 (2000), [arXiv:cond-mat/9910354]
7. I. Goychuk and P. Hänggi
   Stochastic Resonance and Information Transfer in Voltage Dependent Ion Channels
   Europ. Biophys. J. 29, 345–345 (2000)
8. G. Schmid, I. Goychuk, and P. Hänggi
   Stochastic resonance as a collective property of ion channel assemblies
   Europhys. Lett 56, 22–28 (2001), [arXiv:physics/0106036]
9. I. Goychuk and P. Hänggi
   Ion channel gating: a first passage time analysis of the Kramers type
   Proc. Natl. Acad. Sci. 99, 3552–3556 (2002), [arXiv:physics/0111187]
10. P. Hänggi
    Stochastic Resonance in Biology
    ChemPhysChem. 3, 285–290 (2002)
11. P. Hänggi, G. Schmid, and I. Goychuk
    Excitable membranes: Channel noise, synchronization and stochastic resonance
    Advances in Solid State Physics 42, 359–370 (2002)
12. I. Goychuk and P. Hänggi
    The role of conformational diffusion in ion channel gating
    Physica A 325, 9–18 (2003), [arXiv:physics/0601071]
13. G. Schmid, I. Goychuk, and P. Hänggi
    Channel noise and synchronization in excitable membranes
    Physica A 325, 165–175 (2003), [arXiv:physics/0601063]
14. G. Schmid, I. Goychuk, and P. Hänggi
    Membrane clusters of ion channels: Size effects for stochastic resonance
    in: Statistical Mechanics of Complex Networks, R. Pastor Satorras, M. Rubi, and A. Diaz Guilera, eds.
    Lecture Notes in Physics, vol. 625, pp. 195–206, Springer-Verlag, Berlin, Heidelberg, New York (2003)
15. R. Yulmetyev, N. Emelyanova, S. Demin, F. Gafarov, P. Hänggi, and D. Yulmetyeva
    Non-Markov stochastic dynamics of real epidemic process of respiratory infections
    Physica A 331, 300–318 (2004), [arXiv:nlin.AO/0402010]
16. J. Dunkel, W. Ebeling, L. Schimansky-Geier, and P. Hänggi
    Kramers problem in evolutionary strategies
    Phys. Rev. E 67, 061118 (2003)
17. T. Wilhelm and P. Hänggi
    Power-law distributions resulting from finite resources
    Physica A 329, 499–508 (2003)
18. G. Schmid, I. Goychuk, P. Hänggi, S. Zeng, and P. Jung
    Stochastic resonance and optimal clustering for assemblies of ion channels
    Fluct. Noise Lett. 4, L33--L42 (2004)
19. Noise in Biophysical Systems, A. Neimann, P. Hänggi, P. Jung, and L. Schimansky-Geier, eds., Special Issue: Fluctuation Noise Letters, vol. 4, no. 1: 1-236 (2004)
20. J. Dunkel, S. Hilbert, L. Schimansky-Geier, and P. Hänggi
    Stochastic resonance in biological nonlinear evolution models
    Phys. Rev. E 69, 056118 (2004)
21. G. Schmid, I. Goychuk, and P. Hänggi
    Controlling the spiking activity in excitable membranes via poisoning
    Physica A 344, 665–670 (2004)
22. G. Schmid, I. Goychuk, and P. Hänggi
    Effect of channel block on the spiking activity of excitable membranes in a stochastic Hodgkin-Huxley model
    Physical Biology 1, 61–66 (2004), [arXiv:q-bio.SC/0601013]
23. M. Schindler, P. Talkner, and P. Hänggi
    Firing time statistics for driven neuron models: Analytic expressions versus numerics
    Phys. Rev. Lett. 93, 048102 (2004), [arXiv:q-bio.NC/0401015]
24. I. Goychuk and P. Hänggi
    Fractional diffusion modeling of ion channel gating
    Phys. Rev. E 70, 051915 (2004), [arXiv:physics/0407105]
25. M. Schindler, P. Talkner, and P. Hänggi
    Escape rates in periodically driven Markov processes
    Physica A 351, 40–50 (2005), [arXiv:physics/0601045]
26. R. M. Yulmetyev, S. A. Demin, O. Y. Panischev, and P. Hänggi
    Age-related alterations of relaxation processes and non-Markov effects in stochastic dynamics of RR-interval variability from human ECG's
    Physica A 353, 336–352 (2005)
27. I. Goychuk, P. Hänggi, J. L. Vega, and S. Miret Artes
    Non-Markovian stochastic resonance: three state model of ion channel gating
    Phys. Rev. E 71, 061906 (2005), [arXiv:physics/0601070]
28. R. M. Yulmetyev, S. A. Demin, and P. Hänggi
    Statistical memory effects in time series dynamics: Application to Parkinson's disease
    Nonlinear Phenomena in Complex Systems 9, 1–16 (2006)
29. M. Kostur, M. Schindler, P. Talkner, and P. Hänggi
    Neuron firing in driven nonlinear integrate and fire models
    Math. Biosciences 207, 302–311 (2007)
30. G. Schmid and P. Hänggi
    Intrinsic coherence resonance in excitable membrane patches
    Math. Biosciences 207, 235–245 (2007)
31. G. Schmid, I. Goychuk, and P. Hänggi
    Capacitance fluctuations causing channel noise reduction in stochastic Hodgkin-Huxley systems
    Physical Biology 3, 248–254 (2006), [arXiv:abs/q-bio.NC/0611040]
32. D. Reguera, G. Schmid, P. S. Burada, J. M. Rubi, P. Reimann, and P. Hänggi
    Entropic transport: Kinetics, scaling and control mechanisms
    Phys. Rev. Lett. 96, 130603 (2006), [arXiv:cond-mat/0603608]
33. R. M. Yulmetyev, P. Hänggi, D. G. Yulmetyeva, S. Shimojo, E. V. Khusaenova, K. Watanabe, and J. Bhattacharya
    Relaxation and phase space singularities in time series of human magnetoencephalograms as indicator of photosensitive epilepsy
    Physica A 383, 443–454 (2007)
34. R. M. Yulmetyev, D. G. Yulmetyeva, P. Hänggi, S. Shimojo, and J. Bhattacharya
    Strong memory in time series of human magnetoencephalograms can identify photosensitive epilepsy
    JETP 104, no. 4, 644–650 (2007), [Zh. Eksp. Teor. Fiz. 131, pp. 729-737, 2007], [arXiv:physics/0611285]
35. S. A. Demin, R. M. Yulmetyev, O. Y. Panischev, and P. Hänggi
    Statistical quantifiers of memory for an analysis of human brain and neuro-system diseases
    Physica A 387, 2100–2110 (2007)
36. H. Yasuda, T. Miyaoka, J. Horiguchi, A. Yasuda, P. Hänggi, and Y. Yamamoto
    Novel class of neural stochastic resonance and error-free information transfer
    Phys. Rev. Lett. 100, 118103 (2008)
37. I. D. Kosinska, I. Goychuk, M. Kostur, G. Schmid, and P. Hänggi
    A singular perturbation approach to the steady-state 1D Poisson-Nernst-Planck modelling
    Acta Physica Polonica B 39, 1137–1160 (2008), [arXiv:0803.1461]
38. P. S. Burada, G. Schmid, P. Talkner, P. Hänggi, D. Reguera, and J. M. Rubi
    Entropic particle transport in periodic channels
    Biosystems 93, 16–22 (2008), [arXiv:0804.3681]
39. P. S. Burada, P. Hänggi, F. Marchesoni, G. Schmid, and P. Talkner
    Diffusion in confined geometries
    ChemPhysChem 10, 45–54 (2009), [arXiv:0808.2345]
40. P. Hänggi and F. Marchesoni
    Artificial Brownian motors: Controlling transport on the nanoscale
    Rev. Mod. Phys. 81, 387–442 (2009), [arXiv:0807.1283]
41. R. Yulmetyev, D. E. Valliancourt, F. Gafarov, and P. Hänggi
    Relaxational singularities of human motor system at aging due to short-range and long-range time correlations
    Nonlinear Phenomena in Complex Systems 11, no. 1, 40–52 (2008)
42. A. Ochab-Marcinek, G. Schmid, I. Goychuk, and P. Hänggi
    Noise-assisted spike propagation in myelinated neurons
    Phys. Rev. E 79, 011904 (2009), [arXiv:0811.3371]
43. Y. Li, G. Schmid, and P. Hänggi
    Noisy saltatory spike propagation: the breakdown of signal transmission due to channel noise
    Eur. J. Phys. - ST (Special Topics) 187, 171–177 (2010), [arXiv:1008.5251]
44. Y. Li, G. Schmid, P. Hänggi, and L. Schimansky-Geier
    Spontaneous spiking in an autaptic Hodgkin-Huxley setup
    Phys. Rev. E 82, 061907 (2010), [arXiv:1009.5198]
45. S. Martens, G. Schmid, L. Schimansky-Geier, and P. Hänggi
    Entropic particle transport: Higher-order corrections to the Fick-Jacobs diffusion equation
    Phys. Rev. E 83, 051135 (2011), [arXiv:1102.4808]
46. D. Reguera, A. Luque, P. S. Burada, G. Schmid, J. M. Rubi, and P. Hänggi
    Entropic splitter for particle separation
    Phys. Rev. Lett. 108, 020604 (2012), [arXiv:1112.0874]

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Hanggi@Physik.Uni-Augsburg.DE, May 22, 2012