Abstract
We present a new model for the kinetics of nutrient uptake by phytoplankton, which we derive by combining existing models: (1) a size-based modeling framework that accounts for the effects of extra-cellular diffusive limitation, and (2) a model of optimal resource allocation that maximizes uptake rate subject to a physiological trade-off. We show that the new model, unlike either of its pre-existing components, is able to reproduce the observed range of variation in the half-saturation constant for nitrate uptake as a function of both ambient nitrate concentration and cell size. Our results illustrate that the combination of mechanistic trait-based modeling and physi - o logical trade-offs can greatly advance our understanding of plankton ecology.
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