Electro-fluid dynamics of aqueous humor production: simulations and new directions.

Purpose: to theoretically investigate the role of bicarbonate ion (HCO− 3 ) on the nonpigmented transepithelial potential di erence Vm, the sodium potassium pump (Na/K) and the active secretion of aqueous humor. Methods: a three-dimensional mathematical model is proposed to isolate the roles of HCO− 3 and Na+, which are di icult to investigate experimentally. The model combines the velocity-extended Poisson-Nernst-Planck equations to describe ion electrodi usion and the Stokes equations to describe aqueous humor flow into the basolateral space adjacent to the nonpigmented ephitelial cells. Results: Computations show that Vm is close to baseline experimental measurements (on monkeys) in the range [−2.7, −2.3]mV only if HCO− 3 is included in the simulation. The model is also capable of reproducing the flow of Na+ exiting the cell and the flow of K+ entering the cell, in accordance with the physiology of the Na/K pump. The simulated Na/K ratio is 1.53, which is in very good agreement with the theoretical value of 1.5. Conclusion: Model simulations suggest that HCO− 3 inhibition may prevent physiologically correct baseline values of the nonpigmented transepithelial potential di erence and Na/K ATPase function. This may provide useful indication in the design of medications that decrease the active secretion of aqueous humor, and supports the advantage of using mathematical models as a noninvasive complement of animal models