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Drug Targeting Organ-Specific Strategies

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356 13 Pharmacokinetic/Pharmacodynamic Modelling in <strong>Drug</strong> <strong>Targeting</strong><br />

Boddy and Aarons [44] used a simplified model, in which the toxicity sites are included<br />

in the systemic (non-target) tissues to allow derivation of the <strong>Drug</strong> <strong>Targeting</strong> Index<br />

which was less restricted by model assumptions.Their approach was criticized by Siegel et al.<br />

[45]. When some drug release from the carrier occurs at either the central, toxicity or elimination<br />

regions, the DTI is affected by the specific fraction of the drug delivered to each region.<br />

Since these regions are combined by Boddy and Aarons into a single systemic region,<br />

their model cannot account for this effect. Siegel et al. came to the conclusion that the model<br />

of Hunt et al. and the model of Boddy and Aarons are only equivalent in the case of an ideal<br />

carrier.<br />

RC(DC)<br />

CLC(DC)<br />

DC<br />

response (target)<br />

compartment<br />

VR<br />

QCR<br />

DC<br />

central<br />

compartment<br />

VC<br />

QCT<br />

DC<br />

toxicity<br />

compartment<br />

VT<br />

kR<br />

kC<br />

kT<br />

D<br />

response (target)<br />

compartment<br />

VR<br />

QCR<br />

D<br />

central<br />

compartment<br />

VC<br />

QCT<br />

D<br />

toxicity<br />

compartment<br />

VT<br />

CLR (D)<br />

RC(D)<br />

CLC (D)<br />

CLT (D)<br />

Figure 13.5. Model of Boddy, adapted from reference [7] (Section 13.3.3). The drug–carrier conjugate<br />

(DC) is administered at a rate R C(DC) into the central compartment, which is characterized by a volume<br />

of distribution V C. DC is transported by blood flow Q CR to and from the response (target) compartment,<br />

characterized by a volume of distribution V R, and by blood flow Q CT to and from the toxicity<br />

compartment, characterized by a volume of distribution V T. DC is eliminated from only the central<br />

compartment with a clearance CL C(DC). The active drug (D) is released from DC in the central,<br />

response and toxicity compartments with first-order rate constants k C, k R and k T, respectively. The D is<br />

distributed over these compartments in a manner similar to the DC. The D is eliminated from these<br />

compartments with a clearance of CL C(D), CL R(D) and CL T(D), respectively. Conventional drug<br />

administration can be simulated by the input of D at a rate R C(D) into the central compartment.

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