Model Concept: Bifurcation

A bifurcation is a sudden qualitative change in the behavior of a dynamical system caused by a change in a parameter(s).

  1. A bistable model of Spike-Wave seizure and background activity (Taylor et al. 2014)
  2. A computational model of a small DRG neuron to explore pain (Verma et al. 2019, 2020)
  3. A cortical sheet mesoscopic model for investigating focal seizure onset dynamics (Wang et al. 2014)
  4. A mathematical model of evoked calcium dynamics in astrocytes (Handy et al 2017)
  5. A Moth MGC Model-A HH network with quantitative rate reduction (Buckley & Nowotny 2011)
  6. Ave. neuron model for slow-wave sleep in cortex Tatsuki 2016 Yoshida 2018 Rasmussen 2017 (all et al)
  7. Bursting and oscillations in RD1 Retina driven by AII Amacrine Neuron (Choi et al. 2014)
  8. CA1 pyramidal cell: I_NaP and I_M contributions to somatic bursting (Golomb et al 2006)
  9. CA1 pyramidal neuron: depolarization block (Bianchi et al. 2012)
  10. Cardiac models of circadian rhythms in early afterdepolarizations & arrhythmias (Diekman & Wei 2021)
  11. Cell signaling/ion channel variability effects on neuronal response (Anderson, Makadia, et al. 2015)
  12. Cerebellar stellate cells: changes in threshold, latency and frequency of firing (Mitry et al 2020)
  13. Cooling reverses pathological spontaneous firing caused by mild traumatic injury (Barlow et al 2018)
  14. Dependence of neuronal firing on astroglial membrane transport mechanisms (Oyehaug et al 2012)
  15. Dopamine-modulated medium spiny neuron, reduced model (Humphries et al. 2009)
  16. Dorsal root ganglion (primary somatosensory) neurons (Rho & Prescott 2012)
  17. Dynamics of Spike Initiation (Prescott et al. 2008)
  18. Effect of cortical D1 receptor sensitivity on working memory maintenance (Reneaux & Gupta 2018)
  19. Excitability of DA neurons and their regulation by synaptic input (Morozova et al. 2016a, 2016b)
  20. Fully continuous Pinsky-Rinzel model for bifurcation analysis (Atherton et al. 2016)
  21. Functional impact of dendritic branch point morphology (Ferrante et al., 2013)
  22. Glial voltage dynamics driven by Kir & K2P currents (Janjic et al 2023)
  23. HH-type model of fast-spiking parvalbumin interneurons in spinal dorsal horn (Ma et al, 2023)
  24. Hodgkin-Huxley simplifed 2D and 3D models (Lundstrom et al. 2009)
  25. How adaptation makes low firing rates robust (Sherman & Ha 2017)
  26. Irregular spiking in NMDA-driven prefrontal cortex neurons (Durstewitz and Gabriel 2006)
  27. Leech Heart Interneuron model (Sharma et al 2020)
  28. Mean-field models of neural populations under electrical stimulation (Cakan & Obermayer 2020)
  29. Minimal model of interictal and ictal discharges “Epileptor-2” (Chizhov et al 2018)
  30. Mixed mode oscillations as a mechanism for pseudo-plateau bursting (Vo et al. 2010)
  31. Modulation of cortical Up-Down state switching by astrocytes (Moyse & Berry, 2022)
  32. Morphological determinants of dendritic arborization neurons in Drosophila larva (Nanda et al 2018)
  33. Multiple dynamical modes of thalamic relay neurons (Wang XJ 1994)
  34. Neural mass model of spindle generation in the isolated thalamus (Schellenberger Costa et al. 2016)
  35. Neural mass model of the neocortex under sleep regulation (Costa et al 2016)
  36. Neural mass model of the sleeping cortex (Weigenand et al 2014)
  37. Neural mass model of the sleeping thalamocortical system (Schellenberger Costa et al 2016)
  38. Origin of heterogeneous spiking patterns in spinal dorsal horn neurons (Balachandar & Prescott 2018)
  39. Pyramidal neurons switch from integrators to resonators (Prescott et al. 2008)
  40. Reduction of nonlinear ODE systems possessing multiple scales (Clewley et al. 2005)
  41. Relating anatomical and biophysical properties to motoneuron excitabilty (Moustafa et al. 2023)
  42. Robust and tunable bursting requires slow positive feedback (Franci et al 2018)
  43. Robust modulation of integrate-and-fire models (Van Pottelbergh et al 2018)
  44. Simulating ion channel noise in an auditory brainstem neuron model (Schmerl & McDonnell 2013)
  45. The relationship between two fast/slow analysis techniques for bursting oscill. (Teka et al. 2012)
  46. Understanding how fast activating K+ channels promote bursting in pituitary cells (Vo et al 2014)
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