Abstract
We consider the two-dimensional hydrodynamical theory of nearly circular biological objects (cilia) in the creeping approximation, focusing on the time rate of entropy production in the fluid as calculated by means of functional integration methods. It is pointed out that the formalism leads to an entropy change in the fluid which is always negative. This change has, for thermodynamic reasons, to be compensated for, by a change of entropy for the micro-organism itself which is positive, and which is large enough to outweigh the entropy change in the fluid. We consider also briefly the generalization to nonuniform closed objects.
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