Modeling acid-base transport in hemodialyzers

Mathematical modelling of bicarbonate supplementation and acid-base chemistry in kidney failure patients on hemodialysis

Acid-base regulation by the kidneys is largely missing in end-stage renal disease patients undergoing hemodialysis (HD). Bicarbonate is added to the dialysis fluid during HD to replenish the buffers in the body and neutralize interdialytic acid accumulation. Predicting HD outcomes with mathematical models can help select the optimal patient-specific dialysate composition, but the kinetics of bicarbonate are difficult to quantify, because of the many factors involved in the regulation of the bicarbonate buffer in bodily fluids. We implemented a mathematical model of dissolved CO2 and bicarbonate transport that describes the changes in acid-base equilibrium induced by HD to assess the kinetics of bicarbonate, dissolved CO2, and other buffers not only in plasma but also in erythrocytes, interstitial fluid, and tissue cells; the model also includes respiratory control over the partial pressures of CO2 and oxygen. Clinical data were used to fit the model and identify missing parameters used in theoretical simulations. Our results demonstrate the feasibility of the model in describing the changes to acid-base homeostasis typical of HD, and highlight the importance of respiratory regulation during HD.

Replenishing Alkali During Hemodialysis: Physiology-Based Approaches

The acid-base goal of intermittent hemodialysis is to replenish buffers consumed by endogenous acid production and expansion acidosis in the period between treatments. The amount of bicarbonate needed to achieve this goal has traditionally been determined empirically with a goal of obtaining a reasonable subsequent predialysis blood bicarbonate concentration ([HCO₃^-]). This approach has led to very disparate hemodialysis prescriptions around the world. The bath [HCO₃^-] usually chosen in the United States and Europe causes a rapid increase in blood [HCO₃^-] in the first 1-2 hours of treatment, with little change thereafter. New studies show that this abrupt increase in blood [HCO₃^-] elicits a buffer response that removes more bicarbonate from the extracellular compartment than is added in the second half of treatment, a futile and unnecessary event. We propose that changes in dialysis prescription be studied in an attempt to moderate the initial rate of increase in blood [HCO₃^-] and the magnitude of the body buffer response. These new approaches include either a much lower bath [HCO₃^-] coupled with an increase in the bath acetate concentration or a stepwise increase in the bath [HCO₃^-] during treatment. In a subset of patients with low endogenous acid production, we propose reducing the bath [HCO₃^-] as the sole intervention.