For a drug that follows one compartment kinetics and administered. The library of pharmacokinetic pk and pharmacodynamic pd models. A statistical evaluation of the goodness of the models has been carried out following the akaike information criterion 9. We consider these cases to illustrate the effectiveness of the nsfd method for the solution of nonlinear differential equations of this nature. Intravenous bolus administration onecompartment open model the simplest route of drug administration from a modeling perspective is a rapid intravenous injection iv bolus. Contents of the powerpoint on non compartmental pharmacokinetics include. Can be known by actual measurement or estimated by using cp0 f dvd. For this comparison, assume that you are modeling administration of a drug using a twocompartment model with any dosing input and linear elimination kinetics. Moreover, the pharmacodynamics have been fitted using inhibitory model. A compartment in pharmacokinetics is an entity that can be described by a definite volume and a concentration of a drug contained in that volume, which may be. Pdf pharmacokinetics of drugs following iv bolus, iv.
There is an additionnal parameter to estimate, k e0 the equilibrium rate constant between central and e ect compartment. Today, increased physiologic understanding of pharmacokinetics shows that halflife is a secondary parameter that depends upon the primary parameters clearance and apprent volume. Model independent method overcomes some of the drawbacks associated with classical compartment modeling. History of pharmacokinetics 539 pharmacokinetic models.
One compartment pharmacokinetics biological background inulin is an inert polysaccharide that is infused into animals or humans to estimate the volume of. Modeling of pharmacokinetics and pharmacodynamics with. Pharmacokinetics of drugs following iv bolus, iv infusion, and oral. The rate of a process is the change in velocity or speed with in relation to time. Pharmacokinetics can be reduced to mathematical equations, which describe the transit of the drug throughout the body, a net balance sheet from absorption and distribution.
A pharmacokinetic model is a model devised to simulate the rate process. The concentration profile could be best described using a twocompartment model with firstorder absorption and elimination. For drugs to be effective they need to be able to move rapidly from blood plasma to other body fluids. The onecompartment open model assumes that the body can be described as a single, uniform compartment ie, one compartment, and that drugs can enter and leave the body ie, open model.
Describe the distribution of drug in the body once administered one compartment model. There are two parameterisations implemented in pfim for one compartment models, v and k or v and cl. When the plasma concentration c p was assayed, the following data was obtained. Pharm11b2 what is meant by the term two compartment. Onecompartment pharmacokinetic models are considered for different routes of administration. Phar 7633 chapter 8 pharmacokinetics of oral administration. View the article pdf and any associated supplements and figures for a period of 48 hours. For each model the equation for cet is given after the corresponding one for ct. Pharmacokinetic onecompartment model pharmacokinetics refers to the rate and extent of distribution of a drug to different tissues, and the rate of elimination of the drug. Clinical pharmacokinetics is a practical guide to the use of pharmacokinetic principles in clinical practice. One compartment open model is presented in an elaborate manner to make the students familiar with various aspects of pharmacokinetics mathematical equations are developed using simple integration and differentiation methods practice problems are provided wherever necessary, and a question bank is included at the end of each chapter. Represent graphically the typical natural log of plasma drug concentration versus time curve for a onecompartment model after an intravenous dose.
The following figure compares a model as typically represented in pharmacokinetics with the same model shown in the simbiology model diagram. The 2compartment model considers the entire body, and all of the organs and tissues to be two buckets, but all drug must leave the body through a single bucket. A twocompartment model should be used for drugs which slowly equilibrate with the tissue compartment, e. The brain and bones as well as other parts of the central nervous system is excluded, since most drugs have little penetration into these organs. It presumes that a drugs bloodplasma concentration is a true reflection of the concentration in other tissues and that the elimination of the drug is directly proportional to the drugs concentration in the organism. Pharmacodynamics research unit, the upjohn company, kalamazoo, michigan. It assumes that the drug is administered instantly into the body, it is instantaneously and rapidly distributed throughout the body, and drug elimination occurs immediately upon entering the body. The sketch diagram of the pharmacokinetic model is given in fig. The pharmacokinetics have been described using a onecompartment intravenous infusion model. Noncompartmental model thinks of an organism as only one homogenous compartment. Basic assumption is that drug or metabolite follows. The simplest drug administration is when the entire drug is given in a rapid iv injection, also known as an iv bolus. The one compartment pharmacokinetic model can be represented schematically as.
The simplest route of drug administration from a modeling. Mathematical expressions of the pharmacokinetic and. The onecompartment open model is the simplest model which depicts the body as a single. There are two parameterisations implemented in pfim for onecompartment models, v and k or v and cl.
Represent graphically the typical natural log of plasma drug concentration versus time curve for a one compartment model after an intravenous dose. Pharmacokinetics model is the central piece of model based drug development. Peripheral compartments the peripheral compartments includes those organs e. Introduction to noncompartmental pharmacokinetic approach differences between compartment and noncompartment models concepts of noncompartmental model statistical moments theorymean residence time different pharmacokinetic parameters in noncompartment model. Introduction to pharmacokinetics and pharmacodynamics. Over 30 clinical cases with selfstudy questions and answers are presented throughout to bridge the gap between pharmacokinetic concepts and. Biopharmaceutics and pharmacokinetics download ebook pdf. Clinical correlate drugs that have extensive distribution outside of plasma appear to have a large volume of distribution.
In one compartment model, the body is treated as a single compartment to which drug is added. This paper proposed an important approach to transform published noncompartment model pharmacokinetics pk parameters into compartment model pk parameters. This model assumes that the drug can enter or leave the body ie, the model is open, and the entire body acts like a single, uniform compartment. The onecompartment open model offers the simplest way to describe the process of drug distribution and elimination in the body. Depending on rate of input, several one compartment open models are. What is one compartment modelling in pharmacokinetics. The compartmental models assume that the body is composed of one or more compartments into which the drug is distributed after admini. We begin with the simplest case, infusion of the biologically inert substance, inulin. One compartment model pharmacokinetics pdf understand the properties of first order kinetics, linear models be able to write the differential equations for a simple pharmacokinetic model. Kinetics is the study of the rate of a process and the factors affecting on it. Injection only urinary elimination a 70 kg patient was given a bolus i. The drug is not bound to plasma proteins and is excreted unchanged solely into the urine. The peripheral compartment consists of the less perfused tissues like skin, bone, cartilages etc. In pharmacokinetics the concentrationtime profiles of many drugs can be approximated using compartmental models.
Introduction to pharmacokinetics and pharmacodynamics pharmacokinetics. Compartment is the traditional and most widely used approach to pharmacokinetic characterization of drug. A onecompartment model may be used for drugs which rapidly equilibrate with the tissue compartment, e. Compartmental model a compartment is a group of tissues with similar blood flow and drug affinity. Cpt a e ke t mgl mgl e frcnhr hr using a calculator. Thus, the one compartment open model with iv bolus administration is the simplest pharmacokinetic model. Bolus objectives understand the assumptions used for this model understand the properties of first order processes linear processes use appropriate integrated equations use and calculate the parameters. Examples include digoxin, diltiazem, imipramine, labetalol, metoprolol, meperidine, and nortriptyline.
This metaanalysis was performed with a multivariate nonlinear mixed model. A mammillary model with one compartment, parameterized in microconstant vand ka or with cland v b. Phar 7633 chapter 8 pharmacokinetics of oral administration scheme or diagram this model can be represented as. These models simply interpolate the instrumental data and allow on empirical formula to. In many ways the compartmental models are very similar to the heart chamber model. A single compartment simulation model of pharmacokinetics. The onecompartment model implemented in pfim is described in figure 1. Mathematical expressions of the pharmacokinetic and pfim. Usually, pharmacokinetics study involves considering both experimental and theoretical. Noncompartment pharmacokinetics is a new approach devised to study the time course of drug in the body with out assuming any compartment model. For each model the equation for c et is given after the corresponding one for ct.
One compartment open model i v infusion authorstream. Linear pharmacokinetics is socalled because the graph of the relationship between the various factors involved dose, blood plasma concentrations, elimination, etc. It comprised a fivecompartment scheme representing the cir culatory system, a drug depot, fluid volume, kidney elimination and tissue inactivation. Pdf pharmacokinetics of drugs following iv bolus, iv infusion.
Introduction to pharmacokinetics and pharmacodynamics ashp. Apply onecompartment pharmacokinetics to single and multiple. These models show movement from one chamber to another. Central compartment the central compartment includes the wellperfused organs and tissues heart, blood, liver, brain and kidney with which drug equilibrates rapidly. All the symbols imply is that, for a set of values of a dependent variable, there is some.
The onecompartment open model is the simplest way to describe the process of drug distribution and elimination in the body. Drug exhibits the characteristics of one compartment model. The one compartment model and bioavailability flashcards. One compartment open model, extravascular administration, firstorder absorption. A log scale plot of the serum level decay curve of a 1compartment model yields a straight line. Cpt concentration in plasma at defined time interval after the time of known concentration corresponding to a a known or estimated concentration.
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