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Many capitalist models depend on exponential growth. That doesn't exist in nature (I think to even in cancer so I too disagree with the original meme on some level but agree with the overall notion)
What is very common in biology is logistic growth, or the "S curve". It starts like an exponential function, looks almost linear in the middle and approaches a maximum at the end.
You can model it as an exponential curve if you're only interested in the beginning but to extrapolate it further is just wrong.
Take lily in a pond. It might double each day for a while, but will slow down eventually. When it covers half the area at one day, it won't cover it all the next. At that point, it takes as long to cover everything except what it did at the start, as it took to cover half the pond from the start (approximately of cause).
Economic models often don't take this into account but just assume exponential growth which is wrong and not found in biology.