Publication detail

Mathematical modeling of the IV-administered drug concentration level

RŮŽIČKOVÁ, M. DIBLÍK, J. VÁŽANOVÁ, G.

Original Title

Mathematical modeling of the IV-administered drug concentration level

English Title

Mathematical modeling of the IV-administered drug concentration level

Type

conference paper

Language

en

Original Abstract

The paper considers models of the IV-administration of a drug with differential equations describing the drug concentration in the body. An explanation is given of the fluctuating and irregular plasma concentration patterns of some drugs observed during intravenous infusion. A new mathematical model is offered of drug intravenous administration with respect to the existence of one or more peaks or undulations of the plasma concentration curve. An illustrative example is considered for certain values of the drug infusion rate and its elimination rate.

English abstract

The paper considers models of the IV-administration of a drug with differential equations describing the drug concentration in the body. An explanation is given of the fluctuating and irregular plasma concentration patterns of some drugs observed during intravenous infusion. A new mathematical model is offered of drug intravenous administration with respect to the existence of one or more peaks or undulations of the plasma concentration curve. An illustrative example is considered for certain values of the drug infusion rate and its elimination rate.

Keywords

IV-administration of a drug, differential equation; concentration; elimination rate.

Released

21.07.2018

Publisher

American Institute of Physics

Location

AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA

ISBN

978-0-7354-1690-1

Book

INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017)

Pages from

430011-1

Pages to

4300011-4

Pages count

4

URL

Documents

BibTex


@inproceedings{BUT150429,
  author="Miroslava {Růžičková} and Josef {Diblík} and Gabriela {Vážanová}",
  title="Mathematical modeling of the IV-administered drug concentration level",
  annote="The paper considers models of the IV-administration of a drug with differential equations describing the drug concentration in the body. An explanation is given of the fluctuating and irregular plasma concentration patterns of some drugs observed during intravenous infusion. A new mathematical model is offered of drug intravenous administration with respect to the existence of one or more peaks or undulations of the plasma concentration curve. An illustrative example is considered for certain values of the drug infusion rate and its elimination rate.",
  address="American Institute of Physics",
  booktitle="INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017)",
  chapter="150429",
  doi="10.1063/1.5044026",
  howpublished="online",
  institution="American Institute of Physics",
  year="2018",
  month="july",
  pages="430011-1--4300011-4",
  publisher="American Institute of Physics",
  type="conference paper"
}