Does anyone have math on the ultimate multiplication output of yeast, will its environment only allow it to grow so big, to the extent food is available. Simple example - if you pitch 1 billion yeast cells would it only be allowed to grow to 3 billion in a 5 gallon batch whereas if you pitched 500 million yeast cells it'd multiply to .... 3 billion yeast cells in the same 5g batch?? Or would the yeast pitched in the smaller amount consume more food and exhaust it's food source before it got to 3 B?
Is there a maximum consumption rate for a cell or population of yeast? And is multiplication exponential and infinite?