In the process of radiopharmaceutical design, it is often advantageous to characterize the binding properties of a candidate radioligand using classical
in vitro binding experiments to assess binding parameters such as the free receptor concentration (B
max) and the ligand dissociation constant (K
D). Under tracer conditions where the concentration of bound ligand can be negated, the ratio B
max/K
D provides a useful although idealized index for predicting the maximal bound/free (B/F) ratio
in vivo. Often, the
in vitro affinity of a candidate ligand is emphasized as a predictor of high
in vivo specific binding. Consideration of the affinity alone can be misleading, as receptor binding phenomenon are generally bimolecular reactions that depend on the concentrations of both the ligand and receptor. Therefore, it is necessary to consider both the affinity of the ligand and the maximal concentration of the receptor to assess the potential binding capacity of a ligand-receptor system. For this reason, the ratio B
max/K
D is the preferred index of a putative radiotracer’s capacity to bind specifically
in vivo under ideal conditions. In reality, factors such as non-specific binding, radioligand metabolism, delivery, etc. conspire to lower this ratio
in vivo. As a consequence of these complicating factors, it is not possible to tightly define a range of
in vitro ligand affinities that is predictive of high
in vivo radioligand specific binding. However, some general rules are observed that suggest a ligand with an affinity higher than 10 nM is necessary to be useful for targeting proteins
in vivo using PET, as the dissociation rate of less potent ligands may be too rapid to delineate specific from non-specific binding over the time periods needed to conduct a PET scan (typically 60–120 min post-injection). On the other hand, the off-rate of extremely high affinity ligands (< 10 pM) may be too slow to reach equilibrium in a convenient time frame.
Eckleman and colleagues (2006) suggest a range of 10 pM to 10 nM as a target in vitro affinity range for screening candidate ligands as potential PET imaging agents, although it must be emphasized that factors affecting the
in vivo specific to non-specific binding ratio can only be assessed
in vivo. Other properties of the candidate ligand, such as the lipophilicity, can be assessed
in vitro and may be useful as a screening tool for predicting brain uptake. For brain imaging, a relatively high lipophilicity is required for free diffusion of the radiotracer across the blood-brain barrier (BBB). Simple laboratory measures of the lipophilicity of a molecule, such as the octanol-water partition coefficient (log P), may be useful predictors of BBB passage. Based on brain uptake studies of radiolabeled compounds, brain uptake peaks around a log P of 2.5 and falls off with higher lipophilicity (
Mathis et al. 2003;
Waterhouse 2003). Very lipophilic compounds introduce another concern, in that they tend increasingly to bind to other proteins in plasma and tissue non-specifically and reduce the free ligand concentration available for BBB passage and specific binding to the target receptor. It is important to emphasize that the relationship between lipophilicity and brain uptake is not this simple, as other factors can influence the free radioligand concentration
in vivo and thus affect overall brain uptake (e.g., the tissue and plasma free fraction). Like the
in vitro affinity, lipophilicity is a parameter that is most useful for screening out radioligand candidates that are likely too polar to achieve significant BBB penetration or too lipophilic to result in an acceptable free ligand concentration. Beyond analysis of the theoretical strengths and weaknesses of particular ligands, some of the compounds have been assessed with
in vivo PET in animal models and human diseases. Moving from
in vitro studies to
in vivo investigations introduces a number of uncontrolled variables. A note of caution needs to be interjected regarding the interpretation of these studies. Each biological model is a complex set of interactions between all cell elements in the nervous system along with complex alterations in systemic physiology (e.g. ligand metabolism) which need due consideration while interpreting the data.