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Following the above findings, the intrapellet diffusion convection reaction problem is formulated and solved analytically for a zeroth-order nutrient uptake rate.
Therefore, we finally assume that the change rate (dot{p}(t)) is in accordance with the following equation: dot{p}(t)= alpha bigl(c_{1}s(t y(t -Dy(t -Dygr)+beta y(t)-Dp(t)-d_{3}x(t)p(t), where (c_{1}) is the nutrient uptake rate of microbigr flocculant-producing bacterium.
The model was not used to distinguish between attenuated and virulent phenotypes as this would require detailed nutrient uptake rate measurements.
We could further improve our framework by minimizing the number of matched parameter by directly obtaining values for [ E] and through experiments measuring intracellular enzyme activity [ 63] and nutrient uptake rate [ 65].
The marginal value theorem hypothesizes that foragers should invest effort (here effort is root biomass) into patches until the nutrient uptake rate inside the patch balances the rate in the background soil (Charnov 1976; Gleeson and Fry 1997), and several species of plants have been shown to follow this prediction (Kelly 1990; Kelly 1992; McNickle and Cahill 2009).
Since a lower nutrient uptake rate and a higher nutrient conversion rate both have the same decreasing effect on overall free nutrient levels in the cell, these results show a similar pattern to the results obtained from a decreased nutrient uptake.
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Plant species diversity had no detectable effects on nutrient uptake rates in response to fertilization.
Additionally, we quantified the nutrient uptake rates for both species in the laboratory.
Moreover, nutrient uptake rates were significantly higher for inorganic nitrogen (NO3-N and NH4-N) compared to phosphorus (PO4-P).
Among others, intense rooting in nutrient patches and increased nutrient uptake rates favour exploitation of subsurface fertilizer depots.
Then we computed the optimal flux distribution minimizing the sum of nutrient uptake rates (glucose and amino acids) given a specified proliferation rate.
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