Sequencing of TGF-beta pathway genes in familial cases of intracranial aneurysm.

BACKGROUND AND PURPOSE: Familial aggregation of intracranial aneurysms (IA) strongly suggests a genetic contribution to pathogenesis. However, genetic risk factors have yet to be defined. For families affected by aortic aneurysms, specific gene variants have been identified, many affecting the receptors to transforming growth factor-beta (TGF-beta). In recent work, we found that aortic and intracranial aneurysms may share a common genetic basis in some families. We hypothesized, therefore, that mutations in TGF-beta receptors might also play a role in IA pathogenesis. METHODS: To identify genetic variants in TGF-beta and its receptors, TGFB1, TGFBR1, TGFBR2, ACVR1, TGFBR3, and ENG were directly sequenced in 44 unrelated patients with familial IA. Novel variants were confirmed by restriction digestion analyses, and allele frequencies were analyzed in cases versus individuals without known intracranial disease. Similarly, allele frequencies of a subset of known SNPs in each gene were also analyzed for association with IA. RESULTS: No mutations were found in TGFB1, TGFBR1, TGFBR2, or ACVR1. Novel variants identified in ENG (p.A60E) and TGFBR3 (p.W112R) were not detected in at least 892 reference chromosomes. ENG p.A60E showed significant association with familial IA in case-control studies (P=0.0080). No association with IA could be found for any of the known polymorphisms tested. CONCLUSIONS: Mutations in TGF-beta receptor genes are not a major cause of IA. However, we identified rare variants in ENG and TGFBR3 that may be important for IA pathogenesis in a subset of families.

Molecular genetic approaches to defining lipid function.

Lipids fulfill multiple and diverse functions in cells. Establishing the molecular basis for these functions has been challenging due to the lack of catalytic activity of lipids and the pleiotropic effects of mutations that affect lipid composition. By combining molecular genetic manipulation of membrane lipid composition with biochemical characterization of the resulting phenotypes, the molecular details of novel lipid functions have been established. This review summarizes the results of such a combined approach to defining lipid function in bacteria.

Adenosine signaling contributes to ethanol-induced fatty liver in mice.

Fatty liver is commonly associated with alcohol ingestion and abuse. While the molecular pathogenesis of these fatty changes is well understood, the biochemical and pharmacological mechanisms by which ethanol stimulates these molecular changes remain unknown. During ethanol metabolism, adenosine is generated by the enzyme ecto-5'-nucleotidase, and adenosine production and adenosine receptor activation are known to play critical roles in the development of hepatic fibrosis. We therefore investigated whether adenosine and its receptors play a role in the development of alcohol-induced fatty liver. WT mice fed ethanol on the Lieber-DeCarli diet developed hepatic steatosis, including increased hepatic triglyceride content, while mice lacking ecto-5'-nucleotidase or adenosine A1 or A2B receptors were protected from developing fatty liver. Similar protection was also seen in WT mice treated with either an adenosine A1 or A2B receptor antagonist. Steatotic livers demonstrated increased expression of genes involved in fatty acid synthesis, which was prevented by blockade of adenosine A1 receptors, and decreased expression of genes involved in fatty acid metabolism, which was prevented by blockade of adenosine A2B receptors. In vitro studies supported roles for adenosine A1 receptors in promoting fatty acid synthesis and for A2B receptors in decreasing fatty acid metabolism. These results indicate that adenosine generated by ethanol metabolism plays an important role in ethanol-induced hepatic steatosis via both A1 and A2B receptors and suggest that targeting adenosine receptors may be effective in the prevention of alcohol-induced fatty liver.

Morphoproteomic evidence of constitutively activated and overexpressed mTOR pathway in cervical squamous carcinoma and high grade squamous intraepithelial lesions.

Human papilloma virus (HPV) infection of the uterine cervix is linked to the pathogenesis of cervical cancer. Preclinical in vitro and in vivo studies using HPV-containing human cervical carcinoma cell lines have shown that the mammalian target of rapamycin (mTOR) inhibitor, rapamycin, and epidermal growth factor receptor (EGFR)-tyrosine kinase inhibitor, erlotinib, can induce growth delay of xenografts. Activation of Akt and mTOR are also observed in cervical squamous cell carcinoma and, the expression of phosphorylated mTOR was reported to serve as a marker to predict response to chemotherapy and survival of cervical cancer patients. Therefore, we investigated: a) the expression level of EGFR in cervical squamous cell carcinoma (SCC) and high-grade squamous intraepithelial lesions (HSIL) versus non-neoplastic cervical squamous epithelium; b) the state of activation of the mTOR pathway in these same tissues; and c) any impact of these signal transduction molecules on cell cycle. Formalin-fixed paraffin-embedded tissue microarray blocks containing 20 samples each of normal cervix, HSIL and invasive SCC, derived from a total of 60 cases of cervical biopsies and cervical conizations were examined. Immunohistochemistry was utilized to detect the following antigens: EGFR; mTOR pathway markers, phosphorylated (p)-mTOR (Ser2448) and p-p70S6K (Thr389); and cell cycle associated proteins, Ki-67 and S phase kinase-associated protein (Skp)2. Protein compartmentalization and expression were quantified in regard to proportion (0-100%) and intensity (0-3+). Mitotic index (MI) was also assessed. An expression index (EI) for pmTOR, p-p70S6K and EGFR, respectively was calculated by taking the product of intensity score and proportion of positively staining cells. We found that plasmalemmal EGFR expression was limited to the basal/parabasal cells (2-3+, EI = 67) in normal cervical epithelium (NL), but was diffusely positive in all HSIL (EI = 237) and SCC (EI 226). The pattern of cytoplasmic p-mTOR and nuclear p-p70S6K expression was similar to that of EGFR; all showed a significantly increased EI in HSIL/SCC versus NL (p<0.02). Nuclear translocation of p-mTOR was observed in all SCC lesions (EI = 202) and was significantly increased versus both HSIL (EI = 89) and NL (EI = 54) with p<0.015 and p<0.0001, respectively. Concomitant increases in MI and proportion of nuclear Ki-67 and Skp2 expression were noted in HSIL and SCC. In conclusion, morphoproteomic analysis reveals constitutive activation and overexpression of the mTOR pathway in HSIL and SCC as evidenced by: increased nuclear translocation of pmTOR and p-p70S6K, phosphorylated at putative sites of activation, Ser2448 and Thr389, respectively; correlative overexpression of the upstream signal transducer, EGFR, and increases in cell cycle correlates, Skp2 and mitotic indices. These results suggest that the mTOR pathway plays a key role in cervical carcinogenesis and targeted therapies may be developed for SCC as well as its precursor lesion, HSIL.

Differential dynamic properties of scleroderma fibroblasts in response to perturbation of environmental stimuli.

Diseases are believed to arise from dysregulation of biological systems (pathways) perturbed by environmental triggers. Biological systems as a whole are not just the sum of their components, rather ever-changing, complex and dynamic systems over time in response to internal and external perturbation. In the past, biologists have mainly focused on studying either functions of isolated genes or steady-states of small biological pathways. However, it is systems dynamics that play an essential role in giving rise to cellular function/dysfunction which cause diseases, such as growth, differentiation, division and apoptosis. Biological phenomena of the entire organism are not only determined by steady-state characteristics of the biological systems, but also by intrinsic dynamic properties of biological systems, including stability, transient-response, and controllability, which determine how the systems maintain their functions and performance under a broad range of random internal and external perturbations. As a proof of principle, we examine signal transduction pathways and genetic regulatory pathways as biological systems. We employ widely used state-space equations in systems science to model biological systems, and use expectation-maximization (EM) algorithms and Kalman filter to estimate the parameters in the models. We apply the developed state-space models to human fibroblasts obtained from the autoimmune fibrosing disease, scleroderma, and then perform dynamic analysis of partial TGF-beta pathway in both normal and scleroderma fibroblasts stimulated by silica. We find that TGF-beta pathway under perturbation of silica shows significant differences in dynamic properties between normal and scleroderma fibroblasts. Our findings may open a new avenue in exploring the functions of cells and mechanism operative in disease development.

Nonclassical mechanisms of progesterone action in the brain: I. Protein kinase C activation in the hypothalamus of female rats.

The modulation of gene regulation by progesterone (P) and its classical intracellular regulation by progestin receptors in the brain, resulting in alterations in physiology and behavior has been well studied. The mechanisms mediating the short latency effects of P are less well understood. Recent studies have revealed rapid nonclassical signaling action of P involving the activation of intracellular signaling pathways. We explored the involvement of protein kinase C (PKC) in P-induced rapid signaling in the ventromedial nucleus of the hypothalamus (VMN) and preoptic area (POA) of the rat brain. Both the Ca2+-independent (basal) PKC activity representing the activation of PKC by the in vivo treatments and the Ca+2-dependent (total) PKC activity assayed in the presence of exogenous cofactors in vitro were determined. A comparison of the two activities demonstrated the strength and temporal status of PKC regulation by steroid hormones in vivo. P treatment resulted in a rapid increase in basal PKC activity in the VMN but not the POA. Estradiol benzoate priming augmented P-initiated increase in PKC basal activity in both the VMN and POA. These increases were inhibited by intracerebroventricular administration of a PKC inhibitor administered 30 min prior to P. The total PKC activity remained unchanged demonstrating maximal PKC activation within 30 min in the VMN. In contrast, P regulation in the POA significantly attenuated total PKC activity +/- estradiol benzoate priming. These rapid changes in P-initiated PKC activity were not due to changes in PKC protein levels or phosphorylation status.

Role of A2B adenosine receptor signaling in adenosine-dependent pulmonary inflammation and injury.

Adenosine has been implicated in the pathogenesis of chronic lung diseases such as asthma and chronic obstructive pulmonary disease. In vitro studies suggest that activation of the A2B adenosine receptor (A2BAR) results in proinflammatory and profibrotic effects relevant to the progression of lung diseases; however, in vivo data supporting these observations are lacking. Adenosine deaminase-deficient (ADA-deficient) mice develop pulmonary inflammation and injury that are dependent on increased lung adenosine levels. To investigate the role of the A2BAR in vivo, ADA-deficient mice were treated with the selective A2BAR antagonist CVT-6883, and pulmonary inflammation, fibrosis, and airspace integrity were assessed. Untreated and vehicle-treated ADA-deficient mice developed pulmonary inflammation, fibrosis, and enlargement of alveolar airspaces; conversely, CVT-6883-treated ADA-deficient mice showed less pulmonary inflammation, fibrosis, and alveolar airspace enlargement. A2BAR antagonism significantly reduced elevations in proinflammatory cytokines and chemokines as well as mediators of fibrosis and airway destruction. In addition, treatment with CVT-6883 attenuated pulmonary inflammation and fibrosis in wild-type mice subjected to bleomycin-induced lung injury. These findings suggest that A2BAR signaling influences pathways critical for pulmonary inflammation and injury in vivo. Thus in chronic lung diseases associated with increased adenosine, antagonism of A2BAR-mediated responses may prove to be a beneficial therapy.

Dynamics of a minimal model of interlocked positive and negative feedback loops of transcriptional regulation by cAMP-response element binding proteins.

cAMP-response element binding (CREB) proteins are involved in transcriptional regulation in a number of cellular processes (e.g., neural plasticity and circadian rhythms). The CREB family contains activators and repressors that may interact through positive and negative feedback loops. These loops can be generated by auto- and cross-regulation of expression of CREB proteins, via CRE elements in or near their genes. Experiments suggest that such feedback loops may operate in several systems (e.g., Aplysia and rat). To understand the functional implications of such feedback loops, which are interlocked via cross-regulation of transcription, a minimal model with a positive and negative loop was developed and investigated using bifurcation analysis. Bifurcation analysis revealed diverse nonlinear dynamics (e.g., bistability and oscillations). The stability of steady states or oscillations could be changed by time delays in the synthesis of the activator (CREB1) or the repressor (CREB2). Investigation of stochastic fluctuations due to small numbers of molecules of CREB1 and CREB2 revealed a bimodal distribution of CREB molecules in the bistability region. The robustness of the stable HIGH and LOW states of CREB expression to stochastic noise differs, and a critical number of molecules was required to sustain the HIGH state for days or longer. Increasing positive feedback or decreasing negative feedback also increased the lifetime of the HIGH state, and persistence of this state may correlate with long-term memory formation. A critical number of molecules was also required to sustain robust oscillations of CREB expression. If a steady state was near a deterministic Hopf bifurcation point, stochastic resonance could induce oscillations. This comparative analysis of deterministic and stochastic dynamics not only provides insights into the possible dynamics of CREB regulatory motifs, but also demonstrates a framework for understanding other regulatory processes with similar network architecture.

Wingless activity in the precursor cells specifies neuronal migratory behavior in the Drosophila nerve cord.

Neurons and their precursor cells are formed in different regions within the developing CNS, but they migrate and occupy very specific sites in the mature CNS. The ultimate position of neurons is crucial for establishing proper synaptic connectivity in the brain. In Drosophila, despite its extensive use as a model system to study neurogenesis, we know almost nothing about neuronal migration or its regulation. In this paper, I show that one of the most studied neuronal pairs in the Drosophila nerve cord, RP2/sib, has a complicated migratory route. Based on my studies on Wingless (Wg) signaling, I report that the neuronal migratory pattern is determined at the precursor cell stage level. The results show that Wg activity in the precursor neuroectodermal and neuroblast levels specify neuronal migratory pattern two divisions later, thus, well ahead of the actual migratory event. Moreover, at least two downstream genes, Cut and Zfh1, are involved in this process but their role is at the downstream neuronal level. The functional importance of normal neuronal migration and the requirement of Wg signaling for the process are indicated by the finding that mislocated RP2 neurons in embryos mutant for Wg-signaling fail to properly send out their axon projection.

AUTOIMMUNE RESPONSES TO ATHEROSCLEROTIC

Atherosclerosis is a chronic, complex arterial disease characterized by intimal lipid accumulation and inflammation. A unique lipid-binding molecule, namely cluster of differentiation 1d (CD1d), may impact atherosclerosis. Structurally, CD1d acts as a nonpolymorphic cell-surface receptor, resembling the major histocompatibility complex-I (MHC-I). While MHC-I restricts peptide antigen presentation to T cells, CD1d presents lipid antigens to T cells named CD1d-restrictedd T cells. Although increased expression of CD1d has been found in human plaques, the exact nature of CD1d-recognized lipids in atherosclerosis remains to be determined. Three groups of lipids may undergo oxidation in atherosclerosis producing atherogenic lipids: phospholipids, fatty acids, and cholesterol. The central hypothesis is that CD1d recognizes and present oxidative lipids to activate CD1d-restricted T cells, and trigger proinflammatory signal transduction In the first part of this study, oxidative phospholipids were identified and characterized as potential autoantigen for CD1d-restricted T cells. Derived from phospholipid 1-palmitoyl-2-arachidonoyl-sn-glycero-3-phosphorylcholine by oxidization, 1-palmitoyl-2-glutaryl-sn-glycero-3-phosphocholine (PGPC) is commonly found in atherosclerotic plaques. Upon stimulation with PGPC, spleen-derived CD1d-restricted T cells produced higher levels of cytokines and proliferated at higher rates than those without PGPC stimulation. CD1d deficiency compromised the PGPC-triggered T cell activation, suggesting that PGPC may function as a potentially novel autoantigen for T cells in atherosclerosis. In the second part of this study, CD1d-mediated proinflammatory signaling was evaluated in murine models. Enhanced CD1 expression occurred in spleens of db/db mice with hyperlipidemia. Tumor necrosis factor-alpha (TNF-α) was increased in db/db spleen, while TNF-α receptor expression augmented in the db/db murine heart, in comparison with those in normal mice. The nuclear factor-κ B (NF-κB) expression was enhanced in the db/db heart, whereas CD1d-null mice showed lower NF-κB, implying the involvement of CD1d in inflammation of the spleen and heart tissues in the mice with hyperlipidemia. The current study has identified PGPC as a novel lipid antigen recognized by CD1d-restricted T cells in atherosclerosis. The animal study has also provided evidence that CD1d regulates NF-κB-mediated proinflammatory signaling. Hence, CD1d-restricted T cell responses to autolipid antigen and mediated inflammatory signal may represent a new molecular pathway that triggers cardiovascular tissue injury in atherosclerosis and hyperlipidemia.

Ca++/calmodulin-dependent protein kinase II: Messenger RNA in developing rat brain

Ca$\sp{++}$/calmodulin-dependent protein kinase II (CaM-KII) is highly concentrated in mammalian brain, comprising as much as 2% of the total protein in some regions. In forebrain, CaM-KII has been shown to be enriched in postsynaptic structures where it has been implicated in maintaining cytoskeletal structure, and more recently in signal transduction mechanisms and processes underlying learning and memory. CaM-KII appears to exist as a holoenzyme composed of two related yet distinct subunits, alpha and beta. The ratio of the subunits in the holoenzyme varies with different brain regions and to some degree with subcellular fractions. The two subunits also display distinct developmental profiles. Levels of alpha subunit are not evident at birth but increase dramatically during postnatal development, while levels of beta subunit are readily detected at birth and only gradual increase postnatally. The distinct regional, subcellular and developmental distribution of the two subunits of CaM-KII have prompted us to examine factors involved in regulating the synthesis of the subunit proteins.^ This dissertation addresses the regional and developmental expression of the mRNAs for the individual subunits using in situ hybridization histochemistry and northern slot-blot analysis. By comparing the developmental profile of each mRNA with that of its respective protein, we have determined that initiation of gene transcription is likely the primary site for regulating CaM-KII protein levels. Furthermore, the distinct cytoarchitecture of the hippocampus has allowed us to demonstrate that the alpha, but not beta subunit mRNA is localized in dendrites of certain forebrain neurons. The localization of alpha subunit mRNA at postsynaptic structures, in concert with the accumulation of subunit protein, suggests that dendritic synthesis of CaM-KII alpha subunit may be important for maintaining postsynaptic structure and/or function. ^

Studies to localize and characterize the isoform specific functional differences between cardiac and skeletal troponin C

Thin filament regulation of muscle contraction is a calcium dependent process mediated by the Tn complex. Calcium is released into the sarcomere and is bound by TnC. The subsequent conformation change in TnC is thought to begin a cascade of events that result in the activation of the actin-myosin ATPase. While the general events of this cascade are known, the molecular mechanisms of this signal transduction event are not. Recombinant DNA techniques, physiological and biochemical studies have been used to localize and characterize the structural domains of TnC that play a role in the calcium dependent signal transduction event that serves to trigger muscle contraction. The strategy exploited the observed functional differences between the isoforms of TnC to map regions of functional significance to the proteins. Chimeric cardiac-skeletal TnC proteins were generated to localize the domains of TnC that are required for maximal function in the myofibrilar ATPase assay. Characterization of these regions has yielded information concerning the molecular mechanism of muscle contraction. ^

Structural and functional studies of the human integrin $\alpha 4\beta 1$ (CD49d/CD29)

The integrin receptor $\alpha 4\beta 1$ is a cell surface heterodimer involved in a variety of highly regulated cellular interactions. The purpose of this dissertation was to identify and characterize unique structural and functional properties of the $\alpha 4\beta 1$ molecule that may be important for adhesion regulation and signal transduction. To study these properties and to establish a consensus sequence for the $\alpha 4$ subunit, cDNA encoding $\alpha 4$ was cloned and sequenced. A comparison with previously described human $\alpha 4$ sequences identified several substitutions in the $5\prime$ and $3\prime$ untranslated regions, and a nonsynonymous G to A transition in the coding region, resulting in a glutamine substitution for arginine. Further analysis of this single nucleotide substitution indicated that two variants of the $\alpha 4$ subunit exist, and when compared with three ancestrally-related species, the new form cloned in our laboratory was found to be evolutionarily conserved.^ The expression of $\alpha 4$ cDNA in transfected K562 erythroleukemia cells, and subsequent studies using flow cytofluorometric, immunochemical, and ligand binding/blocking analyses, confirmed $\alpha 4\beta 1$ as a receptor for fibronectin (FN) and vascular cell adhesion molecule-1 (VCAM-1), and provided a practical means of identifying two novel monoclonal antibody (mAb) binding epitopes on the $\alpha 4\beta 1$ complex that may play important roles in the regulation of leukocyte adhesion.^ To investigate the association of $\alpha 4\beta 1$-mediated adhesion with signals involved in the spreading of lymphocytes on FN, a quantitative method of analysis was developed using video microscopy and digital imaging. The results showed that HPB-ALL $(\alpha 4\beta 1\sp{\rm hi},\ \alpha 5\beta 1\sp-)$ cells could adhere and actively spread on human plasma FN, but not on control substrate. Many cell types which express different levels of the $\alpha 4\beta 1$ and $\alpha 5\beta 1$ FN binding integrins were examined for their ability to function in these events. Using anti-$\alpha 4$ and anti-$\alpha 5$ mAbs, it was determined that cell adhesion to FN was influenced by both $\beta 1$ integrins, while cell spreading was found to be dependent on the $\alpha 4\beta 1$ complex. In addition, inhibitors of phospholipase A$\sb2$ (PLA$\sb2$), 5-lipoxygenases, and cyclooxygenases blocked HPB-ALL cell spreading, yet had no effect on cell adhesion to FN, and the impaired spreading induced by the PLA$\sb2$ inhibitor cibacron blue was restored by the addition of exogenous arachidonic acid (AA). These results suggest that the interaction of $\alpha 4\beta 1$ with FN, the activation of PLA$\sb2,$ and the subsequent release of AA, may be involved in lymphocyte spreading. ^

Intracellular signalling by the insulin receptor

The insulin receptor transduces insulin's biological signal through the tyrosine kinase present in the receptor's B subunit. The activated insulin receptor kinase then phosphorylates a series of intracellular substrate including insulin receptor substrate 1 (IRS-1), which has been shown to be the pivotal substrate for insulin receptor signal transduction. The phosphorylated tyrosine residues in IRS-1 can bind and activate the downstream effectors, many of which are SH2 domain containing proteins such as phosphotidylinositol 3-kinase, growth factor binding protein 2, and SH2 phosphotyrosine phosphatase 2. Phosphorylated synthetic IRS-1 peptides with the corresponding sequences of the IRS-1 have been shown to associate and activate their respective SH2 domain containing proteins. Another important event happening during insulin binding with the insulin receptor is that the insulin receptor rapidly undergoes internalization. However, the insulin receptor signalling and the receptor endocytosis have been studied as two independent processes. The hypothesis of the present thesis is that the insulin receptor endocytosis is involved in insulin receptor signalling and signal termination. The results of the present investigation demonstrate that insulin receptors in the earliest stage of endocytosis contain significantly greater kinase activity towards IRS-1 peptides than the receptors localized at the plasma membrane, indicating that they are potentially more capable of transducing signals. On the other hand, insulin receptors in the middle and late stage of endocytosis lose their kinase activity, suggesting that insulin receptor kinase activity inactivation and signal termination might take place in the late phase of the insulin receptor internalization. In addition, this study also found that the increased insulin receptor kinase activity in the endosomes is related to the tyrosyl phosphorylation of the specific domains of the receptor's $\beta$ subunit. ^

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. ^