Bistability dynamics in simulations of neural activity in high-extracellular-potassium conditions

Journal of Computational Neuroscience

Volumn 11, Issue 1, 2001, Pages 5-18

  Hahn, Philip J ^a   Durand, Dominique M ^a,b  

^a CASE WESTERN RESERVE UNIVERSITY   (United States)

^b 3510 C B Bolton Building   (United Kingdom)

Author keywords

CA3 region; Epilepsy; Hippocampus; Modeling; Phase resetting

Indexed keywords

BIFURCATION (MATHEMATICS); BRAIN; NEURAL NETWORKS; NEURONS;

BI-STABILITY; BISTABLES; CA3 REGION; CELL MODEL; CONDITION; EPILEPSY; HIPPOCAMPAL PYRAMIDAL CELLS; HIPPOCAMPUS; MODELING; PHASE RESETTING;

POTASSIUM;

POTASSIUM ION;

ANIMAL TISSUE; ARTICLE; BEHAVIOR; COMPARTMENT MODEL; CONCENTRATION RESPONSE; DYNAMICS; EPILEPTIC DISCHARGE; EXTRACELLULAR SPACE; HIPPOCAMPUS; HODGKIN HUXLEY EQUATION; NERVE CELL EXCITABILITY; NERVE CELL NETWORK; NERVE CONDUCTION; NERVE STIMULATION; NONHUMAN; POTASSIUM CELL LEVEL; PRIORITY JOURNAL; PYRAMIDAL NERVE CELL; RAT; SIMULATION;

EID: 0034815410     PISSN: 09295313     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1011250329341     Document Type: Article

References (44)

1. Two stable steady states in the Hodgkin-Huxley axons
2. Null space in the Hodgkin-Huxley equations: A critical test
3. Modulation of burst frequency, duration, and amplitude in the zero-Ca(2+) model of epileptiform activity
4. A minimal, compartmental model for a dendritic origin of bistability of motoneuron firing patterns
5. Impulse responses of automaticity in the Purkinje fiber
6. Relations between slow extracellular potential changes, glial potassium buffering, and electrolyte and cellular volume changes during neuronal hyperactivity in cat brain
7. Desynchronization of neuronal activity by extracellular current pulses in the hippocampus in-vitro
8. Discontinuities in phase-resetting experiments
9. Bifurcation of the Hodgkin and Huxley equations: A new twist
10. Control of repetitive firing in squid axon membrane as a model for neuroneoscillator
11. Extracellular free calcium and potassium during paroxysmal activity in the cerebral cortex of the cat
12. A quantitative description of membrane current and its application to conduction and excitation of nerve
13. Ionic channel density of excitable membranes can act as a bifurcation parameter
14. Neural excitability, spiking and bursting
15. Phase resetting of high potassium epileptiform activity in the Ca3 region of rat hippocampal slices
16. Singular stimulus parameters to annihilate spontaneous activity in the Hodgkin-Huxley model with elevated potassium
17. Phase resetting and annihilation of pacemaker activity in cardiac tissue
18. Nonsynaptic modulation of neuronal activity in the brain: Electric currents and extracellular ions
19. Variant firing patterns in rat hippocampal pyramidal cells modulated by extracellular potassium
20. The relationship between interictal and ictal paroxysms in an in vitro model of focal hippocampal epilepsy
21. Role of intrinsic burst firing, potassium accumulation, and electrical coupling in the elevated potassium model of hippocampal epilepsy
22. Epileptiform burst activity induced by potassium in the hippocampus and its regulation by gaba-mediated inhibition
23. High potassium-induced synchronous bursts and electrographic seizures
24. On circulating excitation on heart muscles and their possible relation to tachycardia and fibrillation
25. Mathematical models of hippocampal neurons and neural networks: Exploiting multiple time scales
26. Intrinsic and network rhythmogenesis in a reduced Traub model for Ca3 neurons
27. Excitation dynamics: Insights from simplified membrane models
28. Analysis of neural excitability and oscillations
29. Epileptiform activity induced by changes in extracellular potassium in hippocampus
30. Model of synchronized epileptiform bursts induced by high potassium in Ca3 region of rat hippocampal slice: Role of spontaneous epsps in initiation
31. Multiple modes of neuronal population activity emerge after modifying specific synapses in a model of the Ca3 region of the hippocampus
32. A model of a Ca3 hippocampal pyramidal neuron incorporating voltage-clamp data on intrinsic conductances
33. Potassium-induced spontaneous electrographic seizures in the rat hippocampal slices
34. 2+ current produces input signal amplification and bistability in cat and rat thalamocortical neurons
35. Excitatory and inhibitory interactions in localized populations of model neurons
36. Cellular basis of neuronal synchrony in epilepsy
37. Electrophysiological mechanisms involved in ventricular fibrillation