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| Content Provider | Springer Nature Link |
|---|---|
| Author | Verotta, Davide |
| Copyright Year | 2010 |
| Abstract | Systems of fractional differential equations (SFDE) have been increasingly used to represent physical and control system, and have been recently proposed for use in pharmacokinetics (PK) by (J Pharmacokinet Pharmacodyn 36:165–178, 2009) and (J Phamacokinet Pharmacodyn, 2010). We contribute to the development of a theory for the use of SFDE in PK by, first, further clarifying the nature of systems of FDE, and in particular point out the distinction and properties of commensurate versus non-commensurate ones. The second purpose is to show that for both types of systems, relatively simple response functions can be derived which satisfy the requirements to represent single-input/single-output PK experiments. The response functions are composed of sums of single- (for commensurate) or two-parameters (for non-commensurate) Mittag–Leffler functions, and establish a direct correspondence with the familiar sums of exponentials used in PK. |
| Starting Page | 209 |
| Ending Page | 215 |
| Page Count | 7 |
| File Format | |
| ISSN | 1567567X |
| Journal | Journal of Pharmacokinetics and Pharmacodynamics |
| Volume Number | 37 |
| Issue Number | 2 |
| e-ISSN | 15738744 |
| Language | English |
| Publisher | Springer US |
| Publisher Date | 2010-04-20 |
| Publisher Place | Boston |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Systems fractional differential equations Response function Pharmacokinetics Biochemistry Biomedical Engineering Veterinary Medicine Pharmacy Pharmacology/Toxicology |
| Content Type | Text |
| Resource Type | Article |
| Subject | Pharmacology |
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