Computational neuroscience is a field of neuroscience that deals with the information processing abilities of the brain. If you think of the brain as a computer, then the neuron is the individual functional processing unit. As a human brain contains somewhere around 100 billion neurons, you can see how identifying how these neurons process and transmit information is an important goal.
What, then, happens after we map out how all 100 billion neurons connect and how they fire action potentials? Can we create an artificial human brain? What if we could make an exact replica of our minds in a computer? Would it still represent our mind, or would it be an entirely new entity? Might be the closest thing we have to immortality.
Surprisingly, these questions aren't actually that far off in the future. Given the current rate of increase in computer power, some predict we will have computers powerful enough to simulate 100 billion neurons by 2030 or 2040 (see the wikipedia article on mind uploading). Additionally, a European project called the Blue Brain Project has already started to attempt to recreate simple mammalian neural networks, with the eventual goal of recreating a mammalian brain.
http://bluebrain.epfl.ch/ The Blue Brain Project
So what do you think? If it came time, would you upload yourself? What if only rich people could afford to do it?