Mathematical modeling of the IV-administered drug concentration level

Mathematical modeling of the IV-administered drug concentration level

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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.

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.

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

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

RŮŽIČKOVÁ, M.; DIBLÍK, J.; VÁŽANOVÁ, G.

2019

21.07.2018

American Institute of Physics

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

978-0-7354-1690-1

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

0094-243X

AIP conference proceedings

Spojené státy americké

430011-1

4300011-4

4

https://doi.org/10.1063/1.5044026