I did remember the 1.008 figure from something probably you posted, but please don't jump to unfounded ad-hominem conclusions and assume that I don't understand that the 1.008 is derived from the fact that the underlying mechanism is a glucose concentration of > ~0.3%, and wort sugar is nearly always less than 10% glucose. 1.008 is ~2% sugar by weight, giving a glucose concentration of ~0.2% assuming the sugar is comprised of 10% glucose.
The glucose level in extract is rarely 10% or less. The average mash is conducted at approximately 150F. At that temperature, the extract will contain roughly 14% glucose, which yields 0.28% glucose w/v for an S.G. of 1.008.
What I have not seen is all of the relevant information about the interactions between pitching rate, nutrient reserves, and dissolved oxygen laid out on the table and discussed at once quantitatively. I'm doing my own research into this, but do you have any nuts and bolts insights?
Trust me, I do not avoid this stuff because I do not desire to have a neat and orderly solution. It's just that a monkey wrench eventually gets thrown into the works that completely invalidates my work every time I attempt to do so, which is why I have reached the point where I have decided that any attempt to produce model that covers all brewing yeast strains is a fool's errand. There are too many variables. For example, we pitch an O1 yeast strain into 8ppm wort. The mother cells can top off their ergosterol reserves using 2ppm before entering the logarithmic phase. How is the remaining O
2 used? One can take a linear approach and say that the mother cells and the first generation of daughter cells will use it equally, but is that really how the excess O
2 will be used?
As far as open fermentation versus closed fermentation goes, my hypothesis at this point is that difference lies in reduced top pressure. Unless the yeast head is overflowing the fermentation vessel, it is blanketed by CO
2. The CO
2 blanket prevents significant O
2 pickup. If you ever get the opportunity to visit a Yorkshire-style brewery, you will discover that they spray the fermenting beer down on top of the fermentation to aerate the culture. If open fermentation allowed for O
2 pickup during fermentation, this step would not be necessary.