X-Message-Number: 25806
From: 
Date: Wed, 16 Mar 2005 02:28:59 EST
Subject: Uploading technology (1).

Uploading technology (1).
 
I come back on this contreversial subject. The aim here is to set the basis 
for a logical thinking about that possibility. There are three questions:

- What are we uploading ? ie: What is a neural network in a biological brain 
?
- How to model it into a mathematical framework ?
- What are the technologies able to implement this model ?
 
In this first part, I define what I understand as a "generic neuron", if some 
reader think I have some gross misconception about it, any comment would be 
welcome.
 
There may not be in any brain a "generic neuron", but I think the pyramidal 
ones could be near that definition.
 
Outside very special cases, a neuron has 3 elements : An input domain in the 
form of a dendritic tree, a body or soma and an exit system formed by a single 
axon. The axon divides into small terminal elements near the dendritic spine 
of another neuron. The gap between them is the synapse.
 
A run of the mill pyramidal neuron has on the order of 8 000 dendritic spines 
or input elements. In the cerebellum, Purkinje neurons implied in memory, 
have more than 100 000 such entries.
 
In a synapse, the electrochemical signal  or action potential, at the axon 
end command the release of a neurotransmitter storred in small vesicles. A 

single action potential releases one or some vesicles, up to 6 or 7. Each 
vesicle 
contains something as 3000 to 10 000 molecules. On the dendritic side of the 
synapse there are at most some hundreds of receptors. This system works as an 
one way channel, from axon terminal to the dendrite spine and an amplifier. A 
single signal in the axon produce tens or more receptor hits in the dendrite. 

This system is quantized on the axon side by the number of vesicles released and
on the dendrite spine side by the receptor number. "Quantized" must be 
understood here as defined in discrete units, this is not quantum mechanics.
 
The transmission time in a synapse is on the order of some milliseconds, 3 to 
5 in most case, up to 20 sometime.
 
Here are other receptors on the spine side with far longer effects in the 
seconds or minutes range or more.
 
Another kind of communication is the electrical gap junction between cells. 

These are channels going from a cell to another. A junction channel allows  the
exchange of small ions or molecules. In most case the link is bidirectional, 
there is no amplification. Gap channels seem most common in glial cell and in 
neurons of the brain fetus or newborn. Here, the main function seems to be 
linked to the neural differentiation process.
 
In the slow processes, some can work backward from the dendrite to axon side. 
This is the case of the nitrogen monoxyde gas, NO for example.
 
What to modelize ?
 
First, here are a lot of function linked to the "technology" used, ie 

biochemistry. Most gap juctions for example seem to fall in this domain. Another

technology, electronics for example, will need not to bother with it, but may 
need 
it own technology defined support fuctions.
 
There is no significant signal shorter than 2 ms. From the Shanon theorem, it 
is then sufficient to sample the processus at two time that frequency to 
recover all the information. A brain model can then be time quantized at the 

millisecond level. The vesicle release in the synapse can too be quantized. It 
need 
3 bits, from 000 for no vesicle release up to 111 for seven vesicles. On the 
dendridic side, there is too a quantification process defined by the number of 
channel receptors. Up to 10 bits may be requested here to define 1023 
elements. This is for a single channel kind, a spine may have 3 or 4 receptor 
famillies.
 
In a spine head, the information is processed chemically in a very non-linear 
way. After that it is transfered as an electrochemical potential in a more 
"simpler" form. Simpler, is quite relative here. At the junction between the 

spine and a dendrite branch, there is more processing as at each dendrite branch
junction. At the soma, the signal acts on the biochemical factory of the cell 
by releasing calcium ions. At the soma membrane level or in the largest 
dendrite branchs,the action potential sent to the axon is generated.
 
Each element : The synapse, the dendritic receptors, the dendrite head spine, 
the spine body, the spine junction, the dendrite segments, the dendrite 

junctions, the electrochemical soma, the biochemical soma, the axon first 
segment, 
the generic axon segments, the axon terminal buttons at synapses must all be 
modelized. This is a single "ordinary" neuron, not a brain.
 
Far simpler "neurons" can be modelized with interesting properties for 

electronics neural networks, but that can't simulate a true biological neuron. 
On 
the political side, to get some financing, a project must display some 

"progress". This one is most simply defined by the number of neurons simulated. 
There 
is so a political pressure to use very simplified neurons in large numbers to 
get a good announce effect and get money. This bring the reseach away from the 
solution of the uploading problem where the full complexity of real neurons 
must be taken into account.
 
Yvan Bozzonetti. 


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