Continuous flow · dim 3
Hindmarsh-Rose neuron
A 3-variable model of bursting and spiking neuron activity. Reproduces the chaotic firing patterns observed in real neurons.
Equations
dx/dt = y − a x³ + b x² − z + I
dy/dt = c − d x² − y
dz/dt = r (s (x − x_R) − z)At a glance
| Parameters | a = 1, b = 3, c = 1, d = 5, s = 4, x_R = −1.6, r = 0.005, I = 3.25 (classical) |
|---|---|
| Chaotic for | specific I windows in (3.0, 3.4) |
| History | Hindmarsh and Rose (1984). |
Try it
Open the interactive playground at /tools/hindmarsh-rose.
See also
Quick quiz
Test yourself on hindmarsh-rose
8 multiple-choice questions. Pick an answer for each, then submit to see explanations.
Q1.Hindmarsh-Rose models which biological phenomenon?
Q2.Standard injected current at which HR shows chaotic bursting:
Q3.HR was introduced in:
Q4.The variable z in HR represents:
Q5.HR exhibits transitions including:
Q6.Compared to Hodgkin-Huxley, HR is:
Q7.Coupled HR neurons exhibit:
Q8.Why is HR useful in research?