The development of the Hindmarsh-Rose model for bursting

Bursting: The Genesis of Rhythm in the Nervous System

Volumn , Issue , 2005, Pages 3-18

  Hindmarsh, Jim ^a   Cornelius, Philip ^a  

^a CARDIFF UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84967355760     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/9789812703231_0001     Document Type: Chapter

References (7)

1. P. Cornelius, Bifurcation Theory Applied to Neuron Models, PhD Thesis, University of Wales, (2001).
2. R. Fitz Hugh, Impulses and physiological states in theoretic models of nerve membrane. Biophys. J. 1, 445-466, (1961).
3. P. Glendinning, Stability, Instability and Chaos, Cambridge University Press, p. 227, (1994)
4. J. L. Hindmarsh and R. M. Rose, A model of the nerve impulse using two first-order differential equations. Nature, Lond. 296, 162-164, (1982).
5. J. L. Hindmarsh and R. M. Rose, A model of neuronal bursting using three coupled first-order differential equations. Proc. Roy. Soc. Lond. B. 221, 87-102, (1984).
6. A. L. Hodgkin and A. F. Huxley, A quantitative description of membrane current and its application to conductance and excitation in nerve. J. Physiol. Lond. 117, 500-544, (1952).
7. X. J. Wang, Multiple dynamic modes of thalamic relay neurons: rhythmic bursting and intermittent phase-locking. Neuroscience 59, 21-31, (1994).