To relate the differences in the measured concentrations of secreted trophic factors in various CM to potential biological activity (defined as the ability of the CM to improve the survival of degenerating porcine retina), we calculated the mean (±SEM) percentage of receptor occupancy for each trophic factor and its primary receptor. Our premise was that statistically significant changes in trophic factor concentrations are not necessarily important biologically. We hypothesized that, at minimum, biologically significant (versus statistically significant) changes in trophic factor concentration should be associated with significant changes in relevant receptor occupancy.
32 (For example, if a trophic factor, L, concentration increases from L
1 to L
2, but L
1 already saturates the target receptor, then the change in concentration is not likely to be biologically significant, assuming that the trophic factor effect is mediated via the receptor in question.) Therefore, we used a simplified model of receptor-ligand interactions to predict which trophic factor concentration changes may be important. The following assumptions were made in this model: (1) receptor–ligand interactions occur according to simple mass-action kinetics; (2) adaptation (e.g., endocytic receptor downregulation or ligand-induced receptor desensitization) is not being considered; (3) receptor occupancy directly results in receptor functionality; and (4) small changes in receptor occupancy might be significant, provided that the ligand concentrations are below saturation. These assumptions may not apply for all trophic factors in complex systems such as the full-thickness retina. Adult-CM was used as a relative control for AMD- and fetal-CM. The basic premise of occupancy theory is that the magnitude of a biological response is directly proportional to the receptor–ligand complex concentration.
33 Thus, increases in trophic factor concentration that lead to significant changes in receptor occupancy may be expected to be biologically relevant. Mathematically, occupancy is defined as the proportion of the concentration of the receptor–ligand complex (i.e., bound receptor) divided by the total concentration of the receptor (i.e., the ligand-bound receptor plus the unbound receptor;
equation 1). It is related to the dissociation constant (
Kd), which is defined as the product of the concentrations of the free ligand and the free receptor concentration divided by the concentration of the receptor-ligand complex (
equation 2). After the equations are rearranged, occupancy equals the concentration of the ligand divided by the quantity
Kd, plus the concentration of the ligand (
equation 3).
Kd values for each trophic factor receptor were identified through the PubMed search engine. Only trophic factor receptors specific to the retina, RPE, and choroid were included. Potential biological activity was only assumed from the calculated changes in trophic factor receptor occupancies and did not mathematically factor into the calculations.
where R is the unbound receptor, L is the ligand, and RL is the receptor–ligand complex.
where R is the receptor, L is the ligand, and RL is the receptor-ligand complex.
where L is the ligand and
Kd is the dissociation constant.