Receptor-mediated adenylylcyclase activation following ``homologous'' and ``heterologous'' desensitization

Using a "collision-coupling" model for $\beta \sb 2$-adrenergic receptor-mediated activation of adenylylcyclase in S49 lymphoma cells, the rate-limiting step of that activation was identified as the association of an "active-state", hormone-bound receptor (HR$\sp\*$) with a G$\sb{\rm s}$-adenylylcyclase moiety (G$\sb{\rm s}$C). It was subsequently hypothesized that the location of the rate-limiting step would not be shifted elsewhere in the activation scheme by receptor desensitization. The traditional focus of receptor desensitization studies has been on modifications of the receptor molecule itself. A "clear-cut" answer to the present hypothesis provides new information on modifications in the function of the receptor following desensitization.^ "Heterologous" desensitization was induced in wild type S49 cells with agents which increase intracellular cAMP without occupying $\beta\sb2$-adrenergic receptors; PGE$\sb1$, forskolin and dibutyryl cAMP. These treatments avoided overlapping effects on $\beta\sb2$-adrenergic receptors by the "homologous" mechanism, in which occupancy by hormone is causative. Although the steady-state activation rate was decreased following heterologous desensitization, that rate was still limited by the association between HR* and G$\sb{\rm s}$C. Thus "heterologous" desensitization acts at the equilibrium between HR and HR* (which is driven by hormone efficiency) such that HR* formation becomes less likely and the frequency of HR*G$\sb{\rm s}$C associations decreases.^ "Homologous" desensitization was induced by high (1-10$\mu$M) epinephrine concentrations in the S49 variant deficient in cAMP-dependent protein kinase, KIN$\sp-$. Use of KIN$\sp-$minimized overlapping effects by the "heterologous" mechanism, which is PKA-dependent. Following homologous desensitization, roughly 50% of the receptors in plasma membrane preparations no longer formed HR*G$\sb{\rm s}$C complexes; evidenced by a decrease in high-affinity hormone binding sites. The loss of HR*G$\sb{\rm s}$C formation did not appear related to the HR/HR* equilibrium. Increasing the efficiency of the assay agonist did nothing to "override" the effect. HR*G$\sb{\rm s}$C association was still the rate-limiting step among the remaining functional receptors. It was not distinguishable whether the remaining activity was "desensitized" due to adenylylcyclase having decreased access to receptors within plasma membrane fragments or due to an effect similar to "heterologous" desensitization. ^

The differential expression of the $\beta\sb2$-adrenergic receptor modifies agonist-dependent adenylylcyclase activation

There have been multiple reports which indicate that variations in $\beta$AR expression affect the V$\sb{\rm max}$ observed for the agonist-dependent activation of adenylylcyclase. This observation has been ignored by most researchers when V$\sb{\rm max}$ values obtained for wild type and mutant receptors are compared. Such an imprecise analysis may lead to erroneous conclusions concerning the ability of a receptor to activate adenylylcyclase. Equations were derived from the Cassel-Selinger model of GTPase activity and Tolkovsky and Levitzki's Collision Coupling model which predict that the EC$\sb{50}$ and V$\sb{\rm max}$ for the activation of adenylylcyclase are a function of receptor number. Experimental results for L cell clones in which either hamster or human $\beta$AR were transfected at varying levels showed that EC$\sb{50}$ decreases and V$\sb{\rm max}$ increases as receptor number increases. Comparison of these results with simulations obtained from the equations describing EC$\sb{50}$ and V$\sb{\rm max}$ showed a close correlation. This documents that the kinetic parameters of adenylylcyclase activation change with the level of receptor expression and relates this phenomenon to a theoretical framework concerning the mechanisms involved in $\beta$AR signal transduction.^ One of the terms used in the equations which expressed the EC$\sb{50}$ and V$\sb{\rm max}$ as a function of receptor number is coupling efficiency, defined as $\rm k\sb1/k\sb{-1}$. Calculation of $\rm k\sb1/k\sb{-1}$ can be accomplished for wild type receptors with the easily measured experimental values of agonist K$\sb{\rm d}$, EC$\sb{50}$ and receptor number. This was demonstrated for hamster $\beta$AR which yielded a coupling efficiency of 0.15 $\pm$ 0.003 and human $\beta$AR which yielded a coupling efficiency of 0.90 $\pm$ 0.031. $\rm k\sb1/k\sb{-1}$ replaces the traditional qualitative evaluation of the ability to activate adenylylcyclase, which utilizes V$\sb{\rm max}$ without correction for variation in receptor number, with a quantitative definition that more accurately describes the ability of $\beta$AR to couple to G$\sb{\rm s}$.^ The equations which express the EC$\sb{50}$ and V$\sb{\rm max}$ for adenylylcyclase activation as a function of receptor number and coupling efficiency were tested to determine whether they could accurately simulate the changes seen in these parameters during desensitization. Data from original desensitization experiments and data from the literature (24,25,52,54,83) were compared to simulated changes in EC$\sb{50}$ and V$\sb{\rm max}$. In a variety of systems the predictions of the equations were consistent with the changes observed in EC$\sb{50}$ and V$\sb{\rm max}$. In addition reductions in the calculated value of $\rm k\sb1/k\sb{-1}$ was shown to correlate well with $\beta$AR phosphorylation and to be minimally affected by sequestration and down-regulation. ^

Evidence for the role of agonist binding frequency in receptor -mediated activation of adenylate cyclase

$\beta$-adrenergic receptor-mediated activation of adenylate cyclase exhibits an agonist-specific separation between the dose/response curve (characterized by the EC$\sb{50}$) and the dose/binding curve (characterized by the K$\sb{\rm d}$). Cyclase activity can be near-maximal when receptor occupancy is quite low (EC$\sb{50}$ $\ll$ K$\sb{\rm d}$). This separation between the binding and response curves can be explained by the assumption that the rate of cyclase activation is proportional to the concentration of agonist-bound receptors, since the receptor is mobile and can activate more than one cyclase (the Collision Coupling Model of Tolkovsky and Levitzki). Here it is established that agonist binding frequency plays an additional role in adenylate cyclase activation in S49 murine lymphoma cells. Using epinephrine (EC$\sb{50}$ = 10 nM, K$\sb{\rm d}$ = 2 $\mu$M), the rate of cyclase activation decreased by 80% when a small (1.5%) receptor occupancy was restricted (by addition of the antagonist propranolol) to a small number (1.5%) of receptors rather than being proportionally distributed among the cell's entire population of receptors. Thus adenylate cyclase activity is not proportional to receptor occupancy in all circumstances. Collisions between receptor and cyclase pairs apparently occur a number of times in rapid sequence (an encounter); the high binding frequency of epinephrine ensures that discontiguous regions of the cell surface experience some period of agonist-bound receptor activity per small unit time minimizing "wasted" collisions between activated cyclase and bound receptor within an encounter. A contribution of agonist binding frequency to activation is thus possible when: (1) the mean lifetime of the agonist-receptor complex is shorter than the mean encounter time, and (2) the absolute efficiency (intrinsic ability to promote cyclase activation per collision) of the agonist-receptor complex is high. These conclusions are supported by experiments using agonists of different efficiencies and binding frequencies. These results are formalized in the Encounter Coupling Model of adenylate cyclase activation, which takes into explicit account the agonist binding frequency, agonist affinity for the $\beta$-adrenergic receptor, agonist efficiency, encounter frequency and the encounter time between receptor and cyclase. ^