Power laws in compartmental analysis. II. Numerical evaluation of semi-Markov models. [Kinetics of lead in bone]

Journal Article · Sat Jan 01 00:00:00 EST 1977 · Math. Biosci.; (United States)

DOI:https://doi.org/10.1016/0025-5564(77)90084-0· OSTI ID:5089589

Marcus, A H; Becker, A

A semi-Markov model for tracer kinetics is formulated for certain two- and three-compartment systems for which the residence time in compartment 2 may have a stable or exponentially modified stable distribution. The method requires numerical inversion of complex Fourier transforms. The model is used to predict the proportion of a single dose of lead retained by blood, bone, and soft tissue, where the lead residence time in bone has a distribution of power-law type. The power-law models reproduced the sometimes observed increase of blood lead level due to slow release of lead from bone, whereas the usual linear compartment model with matched parameters did not show this effect.

• Research Organization: Univ. of Maryland, Baltimore
• OSTI ID: 5089589
• Journal Information: Math. Biosci.; (United States), Vol. 35:1/2
• Country of Publication: United States
• Language: English

Related Subjects

63 RADIATION, THERMAL, AND OTHER ENVIRON. POLLUTANT EFFECTS ON LIVING ORGS. AND BIOL. MAT.
BLOOD
RADIONUCLIDE KINETICS
BONE TISSUES
LEAD ISOTOPES
BIOLOGICAL EFFECTS
MATHEMATICAL MODELS
DOSE-RESPONSE RELATIONSHIPS
FORECASTING
FOURIER TRANSFORMATION
BIOLOGICAL MATERIALS
BODY
BODY FLUIDS
CONNECTIVE TISSUE
INTEGRAL TRANSFORMATIONS
TISSUES
TRANSFORMATIONS
560172* - Radiation Effects- Nuclide Kinetics & Toxicology- Animals- (-1987)