Asymptotics and bioavailability in a 17-compartment pharmacokinetic model with enterohepatic circulation and remetabolization

Mathematical Biosciences
Stefan Horkovics-Kovats, Pavol Zlatos

Abstract

A 17-compartment linear pharmacokinetic model is designed, describing the complex process of enterohepatic circulation as a superposition of the net (remetabolizationfree) enterohepatic circulation, and remetabolization with subsequent intestinal absorption of the parent drug. Basically, the model is built by doubling the model describing the circulation of the parent drug in the body, so that the remetabolizable metabolite circulates in a model of the same structure as does the parent compound. The two submodels are cross-connected with arrows denoting the transition of the particular substance into the complementary part of the complex model. Asymptotic properties of the model are investigated, in particular, explicit formulas for its pharmacokinetic endpoints are given using the elements of its transition probability matrix. Conversely, taking account of the effect of bile cannulation, intravenous, intraportal and oral administration of the drug, as well as of the intravenous and intraportal administration of the remetabolizable metabolite, the transition probabilities of the system are determined in terms of certain measurable pharmacokinetic endpoints and the flow rates through the kidneys, liver and the cardiac output. Fi...Continue Reading

References

Dec 1, 1978·Journal of Pharmacokinetics and Biopharmaceutics·B E Dahlström, L K Paalzow
Sep 1, 1989·Journal of Pharmaceutical Sciences·F JamaliF M Pasutto
Feb 1, 1980·Journal of Steroid Biochemistry·H Adlercreutz, F Martin
Mar 1, 1995·Biological & Pharmaceutical Bulletin·H SekikawaL Z Benet
Sep 1, 1993·Journal of Pharmacological and Toxicological Methods·J G GrohsG Raberger
Nov 1, 1993·Xenobiotica; the Fate of Foreign Compounds in Biological Systems·D McKillopR A Yates
Mar 1, 1993·Clinical Pharmacokinetics·V F Mauro
Aug 1, 1993·Clinical Pharmacokinetics·F LapicqueP Netter
Jan 1, 1996·Urological Research·L S YoungJ M Fitzpatrick
Oct 1, 1996·British Journal of Clinical Pharmacology·J BurggraafA F Cohen
Feb 18, 2003·European Journal of Drug Metabolism and Pharmacokinetics·Nick G ColdhamMaurice J Sauer
Jun 6, 2003·Mathematical Biosciences·Stefan Horkovics-Kovats, Pavol Zlatos
May 1, 1965·The Journal of Clinical Investigation·R LESTER, R SCHMID

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.