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Marine microorganisms often reach high swimming speeds, either to takeadvantage of evanescent nutrient patches or to beat Brownian forces. Since thisimplies that a sizable part of their energetic budget must be allocated tomotion, it is reasonable to assume that some fast-swimming microorganisms mayincrease their nutrient intake by increasing their speed v. We formulate amodel to investigate this hypothesis and its consequences, finding the steadystate solutions and analyzing their stability. Surprisingly, we find that evenmodest increases in nutrient absorption may lead to a significant increase ofthe microbial speed. In fact, evaluations obtained using realistic parametervalues for bacteria indicate that the speed increase due to the enhancednutrient absorption may be quite large.

Enhancement of microbial motility due to speed-dependent nutrient absorption