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Equation 1 · Part 3 · The Domestication of Everything: Biotech's Loop, Closed

=

log⁡10(P)=−0.563 log⁡10(V)+3.65\log_{10}(P) = -0.563\,\log_{10}(V) + 3.65
=

What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

The passage around this formula

The cost consequences follow directly from that ceiling. Humbird’s fed-batch process model, built around bioreactors at or below the 20-cubic-meter limit, converges on roughly thirty-seven dollars per kilogram of wet cell mass at the largest realistic production scale he models; a perfusion-based alternative converges on roughly fifty-one dollars per kilogram. At the very largest theoretical volumes he considers, and only by essentially eliminating growth-medium cost — a change he treats as necessary but explicitly insufficient on its own — the model’s absolute floor comes down to approximately sixteen dollars per kilogram. Growth medium, chiefly the amino acids that feed the cells, is the…

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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

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Sources cited in the surrounding passage

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