Heterogeneous organ models
| Autor: | J. M. Bateman |
|---|---|
| Rok vydání: | 1986 |
| Předmět: |
Pure mathematics
Reduction (recursion theory) Discretization Generalization General Mathematics Immunology Models Biological General Biochemistry Genetics and Molecular Biology Calculus Animals General Environmental Science Physics Rose (mathematics) Pharmacology Series (mathematics) Operator (physics) Microcirculation General Neuroscience Heart Capillaries Kinetics Flow (mathematics) Computational Theory and Mathematics Regional Blood Flow General Agricultural and Biological Sciences Parametrization Mathematics |
| Zdroj: | Bulletin of Mathematical Biology. 48:525-543 |
| ISSN: | 0092-8240 |
| DOI: | 10.1016/s0092-8240(86)90006-6 |
| Popis: | A theoretical study is made of three organ flow models with heterogeneity of capillary transit times. A new parametrization of Rose and Goresky's Model III facilitates in many cases a reduction to Goresky's Model II, accomplished by a special time shift. The shift parameter\(\tau _{c_z } = \tau _{c_m } - t_{APP} /b\) defined here is critical in this analysis of Model III. A new expression of the series for outflow concentration in Model III is given and proves useful in examining the model as an operator and in relating it to Models I and II. A result on parameter optimization is given: if\(\tau _{c_z } \geqslant 0\) then Model III cannot fit better than Model II. This is applied to some data from Rose and Goresky [Circulation Res.39, 541–544 (1976)] and raises a new question about their model. A heart model of Levin and Bassingthwaighte based on regional flow measurement is shown to be a discretized generalization of Model II. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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