Mean Residence Times in Linear Compartmental Systems. Symbolic Formulae for their Direct Evaluation
| Autor: | Manuela García-Moreno, M.J. García-Meseguer, Bent H. Havsteen, J. A. Vidal De Labra, Ramón Varón, F. García-Cánovas |
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| Rok vydání: | 2003 |
| Předmět: |
Pharmacology
Quantitative Biology::Tissues and Organs General Mathematics General Neuroscience Immunology Mathematical analysis Linear model Zero (complex analysis) Compartmental system Body Fluid Compartments Models Biological General Biochemistry Genetics and Molecular Biology Connection (mathematics) Kinetics Computational Theory and Mathematics Simple (abstract algebra) Linear Models Tissue Distribution Residence Direct evaluation General Agricultural and Biological Sciences Compartment (pharmacokinetics) Algorithms General Environmental Science Mathematics |
| Zdroj: | Bulletin of Mathematical Biology. 65:279-308 |
| ISSN: | 0092-8240 |
| DOI: | 10.1016/s0092-8240(02)00096-4 |
| Popis: | A complete analysis has been performed of the mean residence times in linear compartmental systems, closed or open, with or without traps and with zero input. This analysis allows the derivation of explicit and simple general symbolic formulae to obtain the mean residence time in any compartment of any linear compartmental system, closed or open, with or without traps, as well as formulae to evaluate the mean residence time in the entire system like the above situations. The formulae are given as functions of the fractional transfer coefficients between the compartments and, in the case of open systems, they also include the excretion coefficients to the environment from the different compartments. The relationship between the formulae derived and the particular connection properties of the compartments is discussed. Finally, some examples have been solved. |
| Databáze: | OpenAIRE |
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