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Small Animal Clinical Pharmacology - CYF MEDICAL DISTRIBUTION

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CHAPTER 2 CLINICAL PHARMACOKINETICS<br />

Aqueous diffusion<br />

Aqueous pores<br />

Facilitated diffusion<br />

Diffusion across membranes<br />

HD<br />

Drugs may cross membrane barriers by one of five<br />

major mechanisms (Fig. 2.1):<br />

● passive aqueous diffusion (especially via<br />

aquaporins)<br />

● passive lipid diffusion<br />

● facilitated diffusion (including transport proteins<br />

such as P-glycoprotein)<br />

● pinocytosis<br />

● active (energy-expending) transport.<br />

The rate of transfer of a drug across a biological membrane<br />

by passive diffusion (J) can be described by Fick’s<br />

law of diffusion:<br />

J = k(C 1 − C 2 ) where<br />

k = D × A × P/T<br />

Lipophilic molecules<br />

Lipid membrane<br />

H + + D – H + + D –<br />

H + + D –<br />

Lipid diffusion<br />

Non-ionised<br />

molecules<br />

Ionised molecules<br />

Pinocytosis<br />

Fig. 2.1 Different ways in which drug molecules may<br />

passively cross membranes. H, hydrogen; D, drug.<br />

C 1 and C 2 denote the drug concentrations on each side<br />

of the membrane and k is a proportionality constant<br />

that incorporates the diffusion coefficient of the drug<br />

(D), the thickness (T) and surface area (A) of the exposed<br />

membrane and the partition coefficient (P) of the drug<br />

product.<br />

HD<br />

HD<br />

● D: the diffusion coefficient of the drug. Nonpolar<br />

(nonionized) drugs are expected to diffuse quickly<br />

through lipid and aqueous membranes.<br />

● A: The surface area of the tissue exposed to the drug.<br />

Transfer across membranes is usually faster in tissues<br />

with a very large surface area (e.g. lung alveoli, small<br />

intestinal villi) than across the membranes of organs<br />

with a smaller surface area (e.g. stomach).<br />

● T: The thickness of the membrane through which<br />

drug transfer is occurring. The thicker the barrier,<br />

the slower will be the rate of transfer.<br />

● P: the partition coefficient describing the movement<br />

of drug from the drug product into the biological<br />

membrane.<br />

● ∆C (i.e. C 1 − C 2 ): The concentration gradient is the<br />

difference between the concentration of the drug on<br />

either side of a membrane. This gradient is dependent<br />

upon processes on both sides of the membrane,<br />

e.g. the amount of drug administered (gradient<br />

source) and the rate of removal from the contralateral<br />

side of the membrane (gradient sink). If the drug<br />

is removed very rapidly from the contralateral side<br />

(e.g. because of high blood flow or rapid ionization<br />

due to a different pH), the concentration gradient<br />

will remain high and the rate of diffusion is expected<br />

to be high.<br />

While Fick’s law holds true for monolayers and can be<br />

predictive for complex multilayer biological membranes,<br />

transfer across biological membranes is highly complex<br />

and deviations from Fick’s law point to the presence<br />

of unaccounted factors influencing transmembrane<br />

permeation.<br />

Aqueous diffusion<br />

Membranes have aqueous pores (protein channels<br />

termed aquaporins) through which water and some<br />

drugs can diffuse. However, the number and size of the<br />

pores vary greatly between different membranes and the<br />

membrane may have limited capacity to allow aqueous<br />

diffusion. Aqueous diffusion can also be paracellular via<br />

intercellular gaps. The epithelial cells lining the surface<br />

of the body (e.g. gut, cornea and bladder) are connected<br />

by tight junctions and only very small molecules can<br />

pass through. In contrast, most capillaries have very<br />

large pores and much larger molecules can pass along<br />

hydrostatic and concentration gradients. An exception<br />

to this is the capillaries of protected parts of the body<br />

such as the choroid plexus and the blood–brain<br />

barrier.<br />

Lipid diffusion<br />

One of the most important methods of drug permeation<br />

is movement of molecules across cell membranes by<br />

dissolution in the lipids of the membrane. The move-<br />

28

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