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Edmund V. Capparelli
C H A P T E R
2

Clinical Pharmacokinetics in Infants and Children

INTRODUCTION
Considerable growth has occurred in a number of new chemical and biologic pediatric treatments during the last 30 years. Appropriate use of these agents in pediatric patients requires determining the safe and effective dosage for infants and children. A rational approach to determining appropriate dosage requires understanding the pharmacokinetic (PK) and pharmacodynamic (PD) properties of a drug in the population in which it is being used. Optimal therapy uses knowledge of a drug’s PK to determine the dosage with a given formulation that will achieve desired drug concentrations and effects for a particular infant or child. In this setting, PK represents the mathematical description of drug metabolism and movement through a pediatric patient. PD describes the relationship of drug concentrations at the site of action and the magnitude of responses, both therapeutic and toxic. In simplified terms, PK describes what the body does to the drug, and PD describes what the drug does to the body (Fig. 2.1).
Figure 2.1 Schematic representation of the components that make up the pharmacokinetic–
pharmacodynamic interface.
Knowing the right dosage for an individual is as important as selection of the correct drug. Determining the dosage for an individual patient that maximizes clinical benefit yet minimizes toxicity requires knowledge of the general PK and PD properties of the drug in the population, the variability of these properties, and the important physiologic determinants of this variability. Some of the PK and PD variability may be explained by formulation-, genetic-, age-, size-, and disease-related effects. Even when the sources of PK and PD variability cannot be identified or linked to clinical characteristics, understanding the range of concentrations and responses to a dosing regimen is necessary in the development of rational treatment strategies.
The PK of most drugs can be well described by a few key parameters. The two most important are volume of distribution, Vd, and clearance, CL. The elimination half-life, t
1/2
, and associated elimination rate constant, K, are also widely determined and useful to determine dosing frequency. Following nonparenteral administration (such as oral, intramuscular, subcutaneous, or inhaled), bioavailability and absorption rate parameters are also necessary to describe a drug’s PK behavior. Through these PK parameters, a dosing
regimen can be derived to achieve target drug concentrations or range of concentrations where the desirable effect is likely and toxicity is minimal. Clinical PD endpoint measurements and related biomarkers are often highly variable and can require study of many individuals in multiple studies to understand the exposure–effect relationship. To develop appropriate target concentrations, PD models that describe the maximal effect, E
max
, and concentration that achieves half of the maximal effect, EC50, as either inhibitory or stimulatory influences on disease processes can be used. Methods for calculating these parameters and clinical (physiologic and pathologic) factors that affect them are presented in this chapter.
VOLUME OF DISTRIBUTION
After a drug is administered, it does not stay confined in the circulating blood pool. The drug diffuses into tissues, organs, and other fluid spaces, where it exerts its actions. However, when measuring drug concentrations, we are usually limited to collecting serum or plasma samples from the circulating blood pool and determining drug concentrations in these matrices. This serves as a surrogate for the drug concentration at the site of action. Therefore, it is useful to relate drug concentration measured in plasma to the total amount of drug in the body. The volume of distribution, Vd, is a proportionality constant that relates the drug concentration to the total amount of drug in the body and can be represented as
where A is the total amount of drug in the body and Cp is the drug concentration in plasma. The direct clinical application of this PK parameter is that it can determine a loading dose:
Loading dose = C
p-desired
· V
d
It can be defined in relation to blood concentrations, plasma or serum
concentrations, or unbound concentrations (Vdb, Vdp, or Vdu, respectively). For
a given drug, each of these drug concentration measurements may have different values; thus, Vd is relative to the matrix from which concentrations were measured. If, after bolus administration, a drug were to equilibrate incautiously between plasma and tissues, Vdp can easily be estimated as
where Cp0 is the drug concentration in plasma at time zero or immediately after drug administration (Fig. 2.2). This represents a one-compartment model with a single fixed Vdp value. Distribution of drug out of blood and into other fluids and tissues takes time; so “true” one-compartment drug behavior is almost never encountered. However, if distribution is very rapid relative to elimination or absorption (following oral administration), a one-compartment model can adequately describe the drug concentration-versus-time profile. More commonly, after intravenous administration, a rapid fall in drug concentrations is followed by a slower disappearance of drug. This multiphasic pattern of drug concentrations requires more complicated models characterized by multiple compartments with differential equations describing the movement of the drug between compartments and overall drug elimination. The most common model in this situation is the two-compartment model (Fig.
2.3). In this setting, drug concentrations initially fall rapidly because of distribution of the drug out of blood into tissues followed by a slower decline because of elimination. The initial distribution phase is also known as the alpha (α) phase and the elimination period as the beta (β) phase. For a few drugs, the redistribution out of tissues is a slower process than elimination through metabolism or excretion. In these settings, the terminal β phase may represent redistribution rather than elimination. It is important to recognize that these Vds do not represent true physical tissue or fluid spaces per se but are greatly influenced by body composition, physiologic processes, and the chemical and physical properties of the drug. Therefore, a drug that has a much higher affinity for extravascular tissue than for plasma may have a V
d
that is in excess of true body size (greater than 1 L per kg). However, it is possible to set a minimum value for Vd at the blood or plasma volume. Thus, no drug can have a Vd less than total intravascular plasma volume, or about 50