Saturday, March 28, 2020

Virus vs Anti-body part 3

I am modeling the battle between virus and anti-body as a standard sandbox automated S/L operator. My queue sizes for both parties is determined by immunity eriods vs remission periods, and is about 40/1.

OK, two color channel packing says we can divide the bits in the channel according to Log2 of that ratio. I further presume we can identify afflicted clusters with eight bit accuracy, and we see the immunity events occupy some five bits of that channel. Give the pit boss one bit, there is not much left for the incubation periods, which are two weeks.

The two bits of that channel will, on occasion, identify no neighborhood is afflicted, the virus is in route. There is the boundary condition, there is never a moment when all of the neighborhoods are afflicted, that stops flow and the ecosystem goes to zero for everyone. The two bits allocated to virus events and the five to anit-body events cannot both be zero.

The pit boss are the travelers, the people and goods that make up civilization.  Us, and we have tools, mainly we can shorten the incubation times, the period before anti-bodies react. Shorter period of sickness, longer periods of health.  The model is very intuitive, recommending what we all know, kill the sickness in an individual as fast as possible, the result trivial.

But for sandboxers is a very good demonstration of what a S/L in two color mode looks like. It is, really the same problem, depositors and borrowers swiping a card always keeping the balance. The other point is the ratio, that should, via log, translate into rank of the two, savers and borrowers, and this ratio, 40/t is quite an extreme, depositors and borrowers will much more evenly split the channel. This extreme case demonstrates the development of oribitals, the virus need be on the move and often leave opportunities untouched.

Shannon applies but where is the gaussian noise? It is in the gaussian arrivals at equilibrium, the systems will self-shape to obey Shannon's condition, within some bound.  And this is a congestion problem,but it is difficult to identify the structured queues in civilization, we can get their abstract shape, but tracking clusters and how they queue much more difficult matching problem. There is a huge skew with places like NYC and LA, each having idiosyncratic blocks to the virus.

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