A VERSATILE COMPUTER ALGORITHM FOR LINEAR 1ST-ORDER EQUATIONS DESCRIBING COMPARTMENTAL-MODELS WITH BACKWARD BRANCHING

Authors
BLAAUW M
Citation
M. Blaauw, A VERSATILE COMPUTER ALGORITHM FOR LINEAR 1ST-ORDER EQUATIONS DESCRIBING COMPARTMENTAL-MODELS WITH BACKWARD BRANCHING, Applied radiation and isotopes, 44(9), 1993, pp. 1225-1229
Citations number
5
Categorie Soggetti
Nuclear Sciences & Tecnology","Radiology,Nuclear Medicine & Medical Imaging
Journal title
Applied radiation and isotopes
ISSN journal
09698043 → ACNP
Volume
44
Issue
9
Year of publication
1993
Pages
1225 - 1229
Database
ISI
SICI code
0969-8043(1993)44:9<1225:AVCAFL>2.0.ZU;2-F
Abstract
Several recursive formulas have been developed in the past for the sol ution of systems of linear first-order equations. None of them is capa ble of dealing with ''backward branching'' as encountered in biologica l compartmental models and in some cases of complex activation in neut ron activation analysis. A new recursive formula in combination with a computer algorithm was developed to overcome this problem. Special at tention is paid to computational problems caused by limited numerical precision and short time intervals.