If ones does not allow for new cell growth on a pitch, one can end up with a poorly performing culture due to average yeast cell age and budding scars. At most, one needs 150 to 200 milliliters of thick slurry to fully attenuate 5 gallons of 1.060 wort, which usually requires one to crop around 250 to 350ml of thin slurry from a primary fermentation.
Wyeast states that thick slurry is usually composed of 40-60% yeast cells. One milliliter of thick slurry that is composed of 40% yeast contains 1.2 billions cells; hence, 150 to 200 milliliters of thick slurry contains 180 to 240 billion cells (viable cell count requires a microscope, a hemocytometer, and methylene blue). Wyeast even gives a way to estimate cell count by slurry weight. Slurry that contains 40% yeast cells weighs 1.1 grams per milliliter; hence, 150mls of 40% slurry should weigh approximately 165 grams.
The maximum cell density for 5-gallons (~19L) is 19 x 200 billion = 3.8 trillion cells. If we are starting with 200 billion cells, then we are looking at log2(19) = log(19) / log(2) = 4.3 (5 for good measure) replication periods after the lag phase has been exited until the culture has reached maximum cell density, which means that maximum cell density should be hit at 90 x 5 / 60 = 7.5 hours after the lag phase has been exited. With most ale yeast strains, that figure equates to about 12 +/- 3 hours between pitching and signs of active fermentation.