Mw. Vaughn et al., ESTIMATION OF NITRIC-OXIDE PRODUCTION AND REACTION-RATES IN TISSUE BYUSE OF A MATHEMATICAL-MODEL, American journal of physiology. Heart and circulatory physiology, 43(6), 1998, pp. 2163-2176
Nitric oxide (NO) produced by the vascular endothelium is an important
biologic messenger that regulates vessel tone and permeability and in
hibits platelet adhesion and aggregation. NO exerts its control of ves
sel tone by interacting with guanylyl cyclase in the vascular smooth m
uscle to initiate a series of reactions that lead to vessel dilation.
Previous efforts to investigate this interaction by mathematical model
ing of NO diffusion and reaction have been hampered by the lack of inf
ormation on the production and degradation rate of NO. We use a mathem
atical model and previously published experimental data to estimate th
e rate of NO production, 6.8 x 10(-14) mu mol.mu m(-2).s(-1); the NO d
iffusion coefficient, 3,300 mu m(2) s(-1); and the NO consumption rate
coefficient in the vascular smooth muscle, 0.01 s(-1) (Ist-order rate
expression) or 0.05 mu M-1.s(-1) (2nd-order rate expression). The mod
eling approach is discussed in detail. It provides a general framework
for modeling the NO produced from the endothelium and for estimating
relevant physical parameters.