PENERAPAN PERSAMAAN DIFERENSIAL ORDE 1 PADA PEMODELAN MATEMATIKA FARMAKO KINETIKA ABSORBSI OBAT ORAL

Kumalasari, Eva (2010) PENERAPAN PERSAMAAN DIFERENSIAL ORDE 1 PADA PEMODELAN MATEMATIKA FARMAKO KINETIKA ABSORBSI OBAT ORAL. Other thesis, University of Muhammadiyah Malang.

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Abstract

Pharmacokinetics is the science that discussed the absorption, distribution, metabolism, and expenses of drug and drug concentration changes in the body through a reaction process which is affected by time. Pharmacokinetic process itself depends on the mode of administration of drugs. Here only explained about oral drug delivery are often used in general. First order differential equations in applied mathematics from the pharmacokinetic modeling of drug absorption. Formation of differential equations of the pharmacokinetics of drug absorption using a compartment model, namely one open compartment model with first order absorption. In this model it is assumed that drug distribution in a compartment representing the plasma. Establishment of mathematical model derived from the measurement of total drug concentration in and out of the compartment. Although there are many factors that affect the rate of absorption, but the overall rate of drug absorption can be described mathematically as a first order process (rate of absorption depends monoeksponensial reduced drug levels remaining), namely: , With stated the rate of the change in medicine in the body, F states that the fraction of drug absorbed, claimed first order absorption rate constant, said the amount of drug in the digestive tract,can also be represented by because it follows the first order reduction process that is absorbed through the gastrointestinal wall and K express the total drug elimination rate constant, while stating the amount of drug in the body. After completion solved by linear differential equations that is by converting to an exact equation, and then linking the result with the volume of distribution and concentration of the drug is obtained the formula to determine the peak concentration of drug that is. Whereas to determine the maximum time the drug concentration, peak drug concentration equation used differential, and was put on the natural logarithm so as to :

Item Type: Thesis (Other)
Subjects: L Education > L Education (General)
Divisions: Faculty of Teacher Training and Education > Department of Mathematics and Computing
Depositing User: Rayi Tegar Pamungkas
Date Deposited: 07 May 2012 07:24
Last Modified: 07 May 2012 07:24
URI: http://eprints.umm.ac.id/id/eprint/4552

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