2026-09-15T06:20:32Zhttps://gredos.usal.es/oai/requestoai:gredos.usal.es:10366/556282025-06-05T12:40:28Zcom_10366_4283com_10366_4200com_10366_3946com_10366_3823col_10366_4284
Gestión del Repositorio Documental de la Universidad de Salamanca
author
Sánchez León, José Guillermo
author
López Fidalgo, Jesús
2009-03-03
2009-10-14T11:53:30Z
2003
Sánchez León, J. G y López-Fidalgo, J. (2003). Mathematical techniques for solving analytically large compartmental systems. "Health Physics", 85 (2), 184-193.
http://hdl.handle.net/10366/55628
The flow of radioactive particles inside the body from internally deposited radioisotopes in people exposed to inhalation, ingestion, injection, or other ways is usually evaluated using compartmental models. The biokinetic models included in the documents of the International Commission on Radiological Protection such as International Commission on Radiological Protection 66 and 78 involve many compartments. Usually numeric methods are applied. Very often analytical solutions are not possible. New computer programs that include symbolic capability can be used to solve compartmental systems. In this paper some techniques are developed in order to make feasible a computer program that gives not only faster and more accurate solutions, but also analytic solutions for these kind of models. The main idea is to make a partition of subsystems and solve them sequentially. The concept of pseudotrap compartments in a subsystem is crucial at this point. Impulse (acute), constant, and continuous (such as exponential) intakes are considered. This technique has been applied to develop a computer code called Humorap to solve the International Commission on Radiological Protection 66 and 78 models.
eng
Attribution-NonCommercial-NoDerivs 3.0 Unported
Modeling
Biological factors
Biokinetics
Radiation protection
Dose
Internal
Modelos matemáticos
Factores biológicos
Biocinética
Protección ante la radiación
Dosificación
Mathematical techniques for solving analytically large compartmental systems
info:eu-repo/semantics/article
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URL
https://gredos.usal.es/bitstream/10366/55628/1/DEHE_Mathematical%20techniques.pdf
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DEHE_Mathematical techniques.pdf.txt