Transl Clin Pharmacol.  2019 Jun;27(2):43-51. 10.12793/tcp.2019.27.2.43.

Analytical solution of linear multi-compartment models with non-zero initial condition and its implementation with R

Affiliations
  • 1University of Southern California School of Engineering, USA.
  • 2Asan Medical Center, University of Ulsan College of Medicine, Seoul 05505, Korea. ksbae@amc.seoul.kr

Abstract

The analytical solution for multi-compartment models with a non-zero initial condition is complex because of the inter-compartmental transfer. An elegant solution and its implementation in the "˜wnl' R package can be useful in solving examples of textbooks and developing software of therapeutic drug monitoring, pharmacokinetic simulation, and parameter estimation. This solution uses Laplace transformation, convolution, matrix inversion, and the fact that the general solution of an inhomogeneous ordinary differential equation is the sum of a homogenous and a particular solution, together.

Keyword

Analytical solution; Multi-compartment model; R package

MeSH Terms

Drug Monitoring
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