Open AccessElectro-fluid dynamics of aqueous humor production: simulations and new directions
Author(s) -
Aurelio Giancarlo Mauri,
Lorenzo Sala,
Paolo Airoldi,
Giovanni Novielli,
Riccardo Sacco,
Simone Cassani,
Giovanna Guidoboni,
Brent Siesky,
Alon Harris
Publication year - 2016
Publication title -
journal for modeling in ophthalmology
Language(s) - English
Resource type - Journals
eISSN - 2468-3930
pISSN - 2468-3922
DOI - 10.35119/maio.v1i2.30
Subject(s) - chemistry , aqueous solution , bicarbonate , biophysics , potassium , sodium , nernst equation , mechanics , physics , biology , organic chemistry , electrode
Purpose: to theoretically investigate the role of bicarbonate ion (HCO−3 ) on the nonpigmented transepithelial potential dierence 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 diicult to investigate experimentally. The model combines the velocity-extended Poisson-Nernst-Planck equations to describe ion electrodiusion and the Stokes equations to describe aqueous humor flow into the basolateral space adjacent to the nonpigmented ephitelial cells.Results: Computations showthat Vm is close to baseline experimental measurements (on monkeys) in the range [−2.7,−2.3]mVonly 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 difference 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.