like peptide-1 (GLP-1) elevates intracellular concentration of cAMP ([cAMP]) and facilitates glucose-dependent insulin secretion in pancreatic -cells. There has been much evidence to suggest that multiple key players such as the GLP-1 receptor, Gs protein, adenylate cyclase (AC), phosphodiesterase (PDE), and intracellular Ca 2ϩ concentration ([Ca 2ϩ ]) are involved in the regulation of [cAMP]. However, because of complex interactions among these signaling factors, the kinetics of the reaction cascade as well as the activities of ACs and PDEs have not been determined in pancreatic -cells. We have constructed a minimal mathematical model of GLP-1 receptor signal transduction based on experimental findings obtained mostly in -cells and insulinoma cell lines. By fitting this theoretical reaction scheme to key experimental records of the GLP-1 response, the parameters determining individual reaction steps were estimated. The model reconstructed satisfactorily the dynamic changes in [cAMP] and predicted the activities of cAMP effectors, protein kinase A (PKA), and cAMPregulated guanine nucleotide exchange factor [cAMP-GEF or exchange protein directly activated by cAMP (Epac)] during GLP-1 stimulation. The simulations also predicted the presence of two sequential desensitization steps of the GLP1 receptor that occur with fast and very slow reaction rates. The cross talk between glucose-and GLP-1-dependent signal cascades for cAMP synthesis was well reconstructed by integrating the direct regulation of AC and PDE by [Ca 2ϩ ]. To examine robustness of the signaling system in controlling [cAMP], magnitudes of AC and PDE activities were compared in the presence or absence of GLP-1 and/or the PDE inhibitor IBMX. (55) and regulate pulsatile insulin release (25). This glucose-dependent insulin secretion is synergistically enhanced by incretin hormones, which are released upon meal ingestion from endocrine cells distributed over the intestinal tract (16). The incretin hormones include glucosedependent insulinotropic peptide (GIP) and glucagon-like peptide-1 (GLP-1). GLP-1 is more effective than GIP to improve deteriorated incretin effect in diabetes and is widely used to treat patients with Type 2 diabetes (45). Elucidation of GLP-1 signaling system in -cells, therefore, has been an extensive target of experimental studies. To date, it has been well established that GLP-1 activates adenylate cyclases (ACs) through binding to its G protein-coupled receptor and increases[cAMP], the key signal underlying the insulinotropic effects (17, 62).The [cAMP] is determined primarily by the balance between cAMP production by ACs and degradation by phospodiesterases (PDEs) (8). The activities of several isoforms of AC and PDE expressed in -cells are controlled by [Ca 2ϩ ] (11, 28), which is regulated by Ca 2ϩ -permeable ion channels and transporters as well as Ca 2ϩ release and uptake by the endoplasmic reticulum (ER). The increase in [cAMP] subsequently activates protein kinase A (PKA) and exchange protein directly activated b...