Cited by 339Nitric Oxide and Endothelin EffectsCardiovascular Health and Disease PreventionEicosanoids and Hypertension Pharmacology

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Estimation of nitric oxide production and reactionrates in tissue by use of a mathematical model

Vaughn, Mark W., Kuo, Lih, Liao, James C.·1998·American Journal of Physiology-Heart and Circulatory Physiology

DOI 10.1152/ajpheart.1998.274.6.h2163

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Abstract

Nitric oxide (NO) produced by the vascular endothelium is an important biologic messenger that regulates vessel tone and permeability and inhibits platelet adhesion and aggregation. NO exerts its control of vessel tone by interacting with guanylyl cyclase in the vascular smooth muscle to initiate a series of reactions that lead to vessel dilation. Previous efforts to investigate this interaction by mathematical modeling of NO diffusion and reaction have been hampered by the lack of information on the production and degradation rate of NO. We use a mathematical model and previously published experimental data to estimate the rate of NO production, 6.8 × 10 −14 μmol ⋅ μm −2 ⋅ s −1 ; the NO diffusion coefficient, 3,300 μm 2 s −1 ; and the NO consumption rate coefficient in the vascular smooth muscle, 0.01 s −1 (1st-order rate expression) or 0.05 μM −1 ⋅ s −1 (2nd-order rate expression). The modeling approach is discussed in detail. It provides a general framework for modeling the NO produced from the endothelium and for estimating relevant physical parameters.

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Authors: Vaughn, M. W., Kuo, L., & Liao, J. C.
Affiliations: Texas A&M Health Science Center (US)
University of California, Los Angeles (US)
ORCID: Vaughn, Mark W.
Kuo, Lih
Liao, James C.
Venue: American Journal of Physiology-Heart and Circulatory Physiology
Publisher: American Physiological Society
Published: 1998-06-01
Volume: 274
Issue: 6
Pages: H2163-H2176
ISSN: 0363-6135 (ISSN-L)
1522-1539
DOI: 10.1152/ajpheart.1998.274.6.h2163
OpenAlex: W1827044363
Cited by: 338
References: 27
Citations by year: 2026: 10 · 2025: 15 · 2024: 13 · 2023: 11 · 2022: 15 · 2021: 17 · 2020: 16 · 2019: 17 · 2018: 11 · 2017: 16 · 2016: 14 · 2015: 16 · 2014: 12 · 2013: 13 · 2012: 12
FWCI: 2.46
Type: journal article
Language: en
Open access: closed
Locations: American Journal of Physiology-Heart and Circulatory Physiology (publishedVersion)
PubMed (publishedVersion)
Topics: Health Sciences › Medicine › Physiology (medical) › Nitric Oxide and Endothelin Effects
Health Sciences › Medicine › Cardiology and Cardiovascular Medicine › Cardiovascular Health and Disease Prevention
Life Sciences › Biochemistry, Genetics and Molecular Biology › Biochemistry › Eicosanoids and Hypertension Pharmacology
Keywords: nitric oxide, vascular endothelium, vascular smooth muscle, guanylate cyclase, parameter estimation, mathematical modeling, vasodilation
MeSH terms: Endothelium, Vascular, Models, Biological, Muscle, Smooth, Vascular, Nitric Oxide

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Estimation of nitric oxide production and reactionrates in tissue by use of a mathematical model

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