Can the Hodgkin-Huxley neuron incorporate desensitization? I'm studying a neuron in an organism that has the following properties:


The neuron's output voltage is dependent on the strength of the stimulus, if that stimulus is applied and removed without any further stimuli.
If there is another stimulus that follows the first, then the magnitude of the voltage is reduced by a factor dependent on the time between the two stimuli, even if the strength of the two stimuli is the same.


I know approximately the function that governs this reduction in magnitude as a function of time between stimuli.  

Is the Hodgkin-Huxley model sufficient to model the behaviour of this neuron?  Is there another model that is more appropriate?
The Hodgkin-Huxley model does have the ability to accurately reflect adaptation processes in a neuron (e.g., Awiszus, (1989));
A perfect integrator model is also suitable (Goldman et al., 2007); 
A leaky integrator model is often used to model spiking behavior as well (Mihalas &amp; Niebur, 2009).


References
- Awiszus, Biol Cybern (1988); 59(4-5): 295-302
- Goldman et al., New Encycopedia of Neuroscience (2007)
- Mihalas &amp; Niebur, Neural Comput (2009); 21(3): 704–18