Thanks for the write up. The test is very clear. I do have a couple of critiques - hope you don't mind. Readability would be greatly improved if the equations were written with an equation editor rather than as text.
I am working within the constraints of the blogging software. I had to write raw HTML just to get superscripts. I sure as heck do not want to have to resort to inserting graphics just to have pretty equations.
The goal of the equations was to get across the impact of exponential growth without confusing people with too much mathematics. I put in the asymptotic plug for the computer scientists in my readership. That being said, I also recognize that many brewers struggle with basic algebraic equations.
I'd like to understand, and perhaps others would as well, how pitching rates, cell/membrane health, and O2 (of the starter wort and eventual beer wort) affect ester/phenol/higher alcohol production in the final beer.
It seems that within the advanced homebrewing community, most people are more concerned with developing a certain flavor balance rather than struggling with fermentation where the yeast have not owned the wort. There's a lot of leeway in initial cell count with regards to time-before-wort-is-owned, but how do the replications affect the other critical aspects? I understand all yeast behave differently in this regard, but what about general trends? If cell count is low down the totem pole, how could one manipulate their starter protocol to make a very ester-filled mild vs. being very confident that their pils is nearly free of esters?
I do understand that there is plenty of information out there about these questions, but perhaps the gospel is not what we thought it was, especially in regards to the over-reliance on cell numbers in the past.
First off, there is no such thing as an ester-free beer. Even lagers contain esters and higher alcohols. If they did not, the finished beer would taste just like the wort, which we know is not true. Secondly, I plan to cover many other areas in future blog entries. It is just that many of those areas are not fully developed. My focus in the near future is to distill information that I have posted here in various threads into coherent blog posts, so that I do not have to keep repeating the same information in different threads. I also plan to blog about yeast related things that are of interest to me personally that may or may not have anything to do with the nuts and bolts of fermentation.
One thing that people need to keep in mind is that most blogs are usually written for middling readers, and this blog will be no exception. There is a fine line between being not technical enough and being too technical, especially when the subject involves mathematics and/or science. Hopefully, no one had the idea that I planned to write a blog for elite brewers.