The phenomenological description of two coupled flows leads to a definition of their " degree of coupling ". This dimensionless parameter, the absolute value of which lies between zero and unity, is a generalization of the coefficient of coupling used in the theory of electrical networks ; it should serve as a basis of comparison between systems in which the nature of the flows and the forces are different. The efficiency of energy conversion, which is defied by means of the entropy production function of the system, depends on both the degree of coupling and tie conditions of operation ; but the maximum efficiency and the efficiency at maximum output are uniquely determined by the degree of coupling. The requirement for optimal matching of the load to the converter is essentially dictated by the degree of coupling. Reversible energy conversion (when the efficiency is unity) is a limit towards which only fully coupled systems can tend at infinitesimal rates of flow.No energy conversion occurs when a non-equilibrium state is maintained against its tendency to relax, without nct flow taking place. The energy required for this is derived from a spontaneous coupled process. ' Nor does energy conversion occur when matter (or heat, etc.) is transferred in the absence of a gradient of concentration (or temperature, etc.). The energy expended is determined by the degree of coupling and the internal resistance of the system. In biological systems, the two characteristic functions of active transport are the maintenance of a concentration gradient and the level transfer of considerable amounts of water and solutes.

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Precontact communication between gametes is established by chemotaxis. Sperm chemotaxis toward factor(s) in follicular fluid (FF) has been demonstrated in humans and mice. In humans, the chemotactic responsiveness is restricted to capacitated spermatozoa. Here, we investigated whether sperm chemotaxis to factor(s) present in FF also occurs in rabbits and, if so, whether only capacitated spermatozoa are chemotactically responsive. Chemotaxis assays were performed by videomicroscopy in a Zigmond chamber. We measured chemotactic responsiveness as a function of FF dilution by means of a novel directionality-based method that considers the ratio between the distances traveled by the spermatozoa both parallel to the chemoattractant gradient and perpendicular to it. A peak of maximal response was observed at 10(-4) dilution of FF, resulting in a typical chemotactic concentration-dependent curve in which 23% of the spermatozoa were chemotactically responsive. In contrast, the percentage of cells exhibiting FF-dependent enhanced speed of swimming increased with the FF concentration, whereas the percentage of cells maintaining linear motility decreased with the FF concentration. The percentages of chemotactically responsive cells were very similar to those of capacitated spermatozoa. Depletion of the latter by stimulation of the acrosome reaction resulted in a total loss of the chemotactic response, whereas the reappearance of capacitated cells resulted in a recovery of chemotactic responsiveness. We conclude that rabbit spermatozoa, like human spermatozoa, are chemotactically responsive to FF factor(s) and acquire this responsiveness as part of the capacitation process.

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General flow-force relations have been determined, by the Hill diagram method, for a six-state proton pump model with and without intrinsic uncoupling (molecular slipping). A computer-aided analysis of the resulting sigmoidal flow-force curves has been performed by using a set of physically meaningful rate constants. It is shown that gating effects and apparent irreversibility can arise from sigmoidicity. The regions of approximate linearity in the vicinity of inflection points, which may be far from equilibrium, have been examined with a view to characterization in terms of linear phenomenological equations, with due regard to the problems of kinetic equivalence of the forces and symmetry. The determination of thermodynamic parameters such as the degree of coupling, the phenomenological stoichiometry, and the efficiency in these regions is discussed, and their meaning is analyzed in relation to the parameters characterizing the Onsager domain close to equilibrium. The application of the phenomenological equations of near-equilibrium nonequilibrium thermodynamics to such regions is at best a simplification to be treated with great caution. A knowledge of the distance from equilibrium of the flow-controlling ranges of the forces (i.e., the ranges of approximate linearity) turns out to be crucial for the interpretation of thermodynamic parameters determined by manipulating one of the forces while the other remains constant, as well as for the interpretation of measurements of force ratios at static head. The latter approaches can give good estimates of the magnitude of the mechanistic stoichiometry and of the constant force if the pumps are highly coupled and are operating not far from equilibrium. The force-flow relationships are shown to be modified by intrinsic uncoupling, reflecting the regulatory influence of the forces on the extent and nature of the slip. Thus reaction slip increases, for example, as the force against which the proton pump operates increases. The possible physiological significance of regulated intrinsic uncoupling is discussed.