Optimization of equine sperm cryopreservation protocols requires an understanding of the water permeability characteristics and volumetric shrinkage response during freezing. A cell-shape-independent differential scanning calorimeter (DSC) technique was used to measure the volumetric shrinkage during freezing of equine sperm suspensions at cooling rates of 5 degreesC/min and 20 degreesC/min in the presence and absence of cryoprotective agents (CPAs), i.e., in the Kenney extender and in the lactose-EDTA extender, respectively. The equine sperm was modeled as a cylinder of length 36.5 mum and a radius of 0.66 mum with an osmotically inactive cell volume My of 0.6V(o), where V-o is the isotonic cell volume. Sperm samples were collected using water-insoluble Vaseline in the artificial vagina and slow cooled at less than or equal to0.3 degreesC/min in an Equitainer-I from 37 degreesC to 4 degreesC. By fitting a model of water transport to the experimentally obtained DSC volumetric shrinkage data, the best-fit membrane permeability parameters (L-pg and E-Lp) were determined. The combined best-fit parameters of water transport (at both 5 degreesC/min and 20 degreesC/min) in Kenney extender (absence of CPAs) are L-pg = 0.02 lm min(-1) atm(-1) and E-Lp = 32.7 kcal/mol with a goodness-of-fit parameter R-2 = 0.96, and the best-fit parameters in the lactose-EDTA extender (the CPA medium) are L-pg[cpa] = 0.008 mum min(-1) atm(-1) and E-Lp[cpa] = 12.1 kcal/mol with R-2 = 0.97. These parameters suggest that the optimal cooling rate for equine sperm is similar to 29 degreesC/min and is similar to 60 degreesC/min in the Kenney extender and in the lactose-EDTA extender. These rates are predicted assuming no intracellular ice formation occurs and that the similar to5% of initial osmotically active water volume trapped inside the cells at -30 degreesC will form innocuous ice on further cooling. Numerical simulations also showed that in the lactose-EDTA extender, equine sperm trap similar to3.4% and similar to7.1% of the intracellular water when cooled at 20 degreesC/min and 100 degreesC/min, respectively. As an independent test of this prediction, the percentage of viable equine sperm was obtained after freezing at 6 different cooling rates (2 degreesC/min, 20 degreesC/min, 50 degreesC/min, 70 degreesC/min, 130 degreesC/min, and 200 degreesC/min) to -80 degreesC in the CPA medium. Sperm viability was essentially constant between 20 degreesC/min and 130 degreesC/min.