Tracer Kinetics: Modelling by Partial Differential Equations of Inhomogeneous Compartments with Age-Dependent Elimination Rates; Part 2: Examples of Application
作者:
E. Winkler,
期刊:
Isotopenpraxis Isotopes in Environmental and Health Studies
(Taylor Available online 1991)
卷期:
Volume 27,
issue 5
页码: 228-233
ISSN:0021-1915
年代: 1991
DOI:10.1080/10256019108622522
出版商: Taylor & Francis Group
关键词: analytical solution;biology;differential equations;mathematical models;medicine;tracer techniques
数据来源: Taylor
摘要:
The general theory of inhomogeneous compartments with age-dependent elimination rates given in part I in a deterministic frame by sets of partial differential equations is illustrated by examples. Mathematically, it turns out that models consisting of partial differential equations include ordinary, delayed and integro-differential equations, a general fact which is treated here in the context of linear tracer kinetics. The examples include standard compartments as a degenerate case, systems of standard compartments (compartment blocks), models resulting in special residence time distributions, models with pipes, and systems with heterogeneous particles.
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