healinguilt: (so sweet)
Naomi Kimishima ([personal profile] healinguilt) wrote in [personal profile] dressedinblack 2014-03-14 03:49 am (UTC)

haha well math isn't his area of expertise right? so no worries o/

Taking into account that total dream energy is a heterogeneous mixture of nightmare energy and dream energy, one would have thought that original equation is the most accurate. Classically, it has served the dream experts of Hypnosia for quite some time with a fair degree of accuracy. The rate at which it is all formed is as this: [ KH=k-1/K1. ] But there is some fault to it...

[ And going onto the next slide, she shows this:
N + D + A <-k-1- -k1-> NDA <-k-2- -k2-> P ]
This is what the mixture of dream energy should be, as it takes into account dream energy, nightmare energy, and the "alien" dream energy we non-natives produce to give rise to a new product of dream energy. Hence the new process to describe dream kinetics would be:

[ KH=(k-1+k2)/k1 ]

Comparing the old equation to this refined one is analogous to comparing Newtonian physics to modern physics. The classical models are simplistic but functional for the most part, but do not take into account extrinsic factors-- in this case, foreign energy. In a double reciprocal plot, a competitive factor for this energy would lead to an increase in Kh, but the velocity at which this occurs would stay the same. In contrast, for an uncompetitive factor both the velocity and the rate would decrease. Finally, and perhaps most importantly, an noncompetitive factor, something that impedes the reactions of the native nightmare and dream energy from mixing with alien dream energy, would KH is unchanged, but the maximum velocity is reduced.

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