Homoclinic bifurcations at tonic-firing to bursting transitions: underlying mechanisms and impact on neuronal synchronization

• Applicant: Professorin Dr. Ulrike Feudel
• Subject Area: Statistical Physics, Nonlinear Dynamics, Complex Systems, Soft and Fluid Matter, Biological Physics
• Term: from 2010 to 2014
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 164150518

• Final Report Year: 2014

Final Report Abstract

No abstract available

Publications

• Deterministic and Stochastic Dynamics of a Mammalian Cold Receptor Model with Subthreshold Oscillations. PhD thesis
  Christian Finke
  
• (2010) Noisy activation kinetics induces bursting in the Huber-Braun model. Eur. J. Phys. - ST 187, 199-203
  Finke C, Postnova S, Rosa E, Freund JA, Huber MT, Voigt K, Moss FE, Braun HA, Feudel U
  
• (2010): A computational study of the interdependencies between neuronal impulse pattern, noise effects and synchronization. Journal of Physiology-Paris 104, 176-189
  Postnova S, Finke C, Jin WY, Schneider H, Braun HA
  
• (2010): On the role of subthreshold currents in the Huber-Braun cold receptor model. CHAOS 20, 045107:1-11
  Finke C, Freund JA, Rosa jr. E, Braun HA, Feudel U
  
• (2011): Noise-induced precursors of tonic-to-bursting transitions in hypothalamic neurons and in a conductance-based model. CHAOS 21, 047509
  Braun HA, Schwabedal J, Dewald M, Finke C, Postnova S, Huber MT, Wollweber B, Schneider H, Hirsch MC, Voigt K, Feudel U, Moss F
  
• (2011): Temperature-dependent stochastic dynamics of the Huber-Braun neuron model. CHAOS 21, 047510
  Finke C, Freund JA, Rosa jr. E, Bryant PH, Braun HA, Feudel U
  
• (2013) Generalized synchronizafion in relay systems. Phys. Rev. E 88, 052908
  Gutierrez R, Sevilla-Escoboza R, Piedrahita P, Finke C, Feudel U, Buldu JM, Huerta-Cuellar G, Jaimes-Reategui R, Moreno Y, Boccaletti S
  
• (2013): Modeling neuronal activity in relation to experimental voltage-/patchclamp recordings. Brain Research 1536, 159-167
  Tchaptchet A, Postnova S, Finke C, Schneider H, Huber MT, Braun HA
  
• (2013): Phase description of the Huber-Braun neuron model for mammalian cold receptors. Eur. Phys. J. Special Topics 222, 2677-2686
  Freund JA, Finke C, Braun HA, Feudel U
  (See online at https://doi.org/10.1140/epjst/e2013-02047-2)