Details

The derivation of the Aksnes and Cao model can be found in [1]. The molecular diffusion and the handling time dependence on temperature can be found in [2] and [3], respectively. The fixed parameter values were chosen according to the references indicated in Table 1 of [1]. However, we used a handling time of 0.03 s at 20 ºC and not 0.12, as in Aksnes and Cao, because of an error in their estimate [4].

References

[1] D. L. Aksnes and F. J. Cao, "Inherent and Apparent Traits in Microbial Nutrient Uptake," Marine Ecology Progress Series, 440, 2011 pp. 41–51. doi:10.3354/meps09355.

[2] P. A. Jumars, J. W. Deming, P. S. Hill, L. Karp-Boss, P. L. Yager, and W. B. Dade, "Physical Constraints on Marine Osmotrophy in an Optimal Foraging Context," Marine Microbial Food Webs, 7(2): 1993 pp. 121–159.

[3] R. W. Eppley, "Temperature and Phytoplankton Growth in the Sea," Fishery Bulletin, 70(4), 1972 pp. 1063–1085.

[4] Ø. Fiksen, M. J. Follows, and D. L. Aksnes, "Trait-Based Models of Nutrient Uptake in Microbes Extend the Michaelis-Menten Framework," Limnology and Oceanography, 58(1): 2012 pp. 193–202. doi:10.4319/lo.2013.58.1.0193.