Volumetric response of X. helleri sperm cells at various cooling rates as a function of sub-zero temperature using the best-fit membrane permeability parameters (Table 1). The changes in the normalized cell volume (V/Vo) are shown as a function of temperature for different cooling rates in X. helleri sperm cell suspensions without CPAs (A), with 14% glycerol (B), and with 10% DMSO (C). The water transport curves represent the model-simulated response for different cooling rates (from left to right: 5, 10, 20, 40, 60, 80, and 100 °C/min). The model-simulated equilibrium cooling response obtained is shown as a dotted line. The sub-zero temperatures are shown along the x-axis while the non-dimensional volume is plotted along the y-axis.