As it cannot be assumed that growth and uptake are half-saturated at the same concentration, we must also substitute a half-saturation constant of growth, (Kr). By analogy, we might also assume that, again at a low but steady rate of supply, r' and Vu and r^ax and VUmax are mutually interchangeable. Such equivalence is demonstrable, provided the steady-state condition holds (Goldman, 1977; Burmaster, 1979). However, when supply rates exceed deployment and the internal store increases, the uptake rate must slow down, even when a high external concentration obtains. It might then be proposed that nutrient uptake is better described by:
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