Well, yes and no was sort of what I was saying (which is why I started with tons of disclaimers a couple of posts ago).
If the thing going over the axon over the dendrite of the next neuron is the signal, then there is no variation--except in "clock rate", which may or may not count; it really depends on what you want to call the signal. blobru was defining analog versus digital based on whether or not the inputs were continuous or discrete. I'm not quite sure it's that easy to classify.
I'm also not quite sure how to add in the hormonal effects on the networks given such considerations. Are they inputs?
Edit: Still, I didn't take into account cumulative effects... am I just making this harder than it is?
Yes, there are all sorts of inputs that greatly complicate nervous communication.
For instance, we have the old Dale's hypothesis -- one neuron, one neurotransmitter. While that is partially true, it is actually a lie since there can be many different substances released into the synaptic cleft by one particular neuron. Small peptides, which often accompany the small molecules that serve as transmitters, are often co-released; and they may have long-term effects on the likelihood of a particular neuron firing.
Maybe it's just me, but I think folks often have misconceptions about how neurons work. They don't, for instance, just sit around and wait for a signal from their neighbor and then fire when the neighbor releases neurotransmitter. Most central nervous system neurons are firing at a basal rate all the time; what new input does is change the basal firing rate (so the real message is not "Hey, I'm firing" but "Hey, I'm firing this fast").
I've forgottent the general estimate of how many inputs it takes for a neuron to reach threshhold, but the difference between the central and peripheral nervous systems is astounding. One vesicle of acetylcholine in the peripheral nervous system is sufficient to produce a muscle action potential. But it takes at least 30 vesicles at minimum to produce an action potential in the CNS. This is complicated by space and time issues -- excitatory post-synaptic potentials generally originate on dendrites, so they have quite a distance to travel before they reach the axon hillock (where the action potential is generated) and all the inhibitory inputs generally occur on the cell body, intervening between the dendrite and axon. EPSPs 'degenerate' over distance and time, so they lose their punch and need other EPSPs to help get over threshhold.
All of that can be simulated sort of by computer systems, but it gets even more complicated when you introduce modulatory elements. There are two different types of receptors broadly speaking -- directly activated and modulatory. The second group (think the neurotransmitters that most people know -- dopamine, norepinephrine) change the likelihood of the neuron reaching threshold rather than directly causing the cell to fire. Then there are all the modulatory neuropeptides that do some of the same (and some of these work directly on cell potentials while others initiate second messenger systems inside the cell to produce even longer term changes by turning on different gene sets). But it even gets worse when you think in terms of other hormones (or growth factors) some of which do have some of these same modulatory effects in the CNS. Nerve growth factor, for instance, plays a role in pain transmission both in the peripheral and central nervous systems.
Then we must account for the glia, which also modulate nerve function by, in part, acting as wells for potassium and seem to make less-likely repetitive firing of neurons.
And when it comes to consciousness there is the entire body to consider. It's all a system -- the whole body -- not just the brain. Brains-in-vats are fine to talk about, but if anyone gets close to human-style consciousness my bet is that it's going to be in a robot and not in a desktop.
ETA:
Sorry, forgot to mention -- clock rate is very important in this enterprise, since there are many pathological states that exist because of slowing of the signal along the axon (like multiple sclerosis) and anything that might slow the processing of information through a network (a new inhibitory input, a seizure) would also affect the outcome.