Given natural numbers n and r , the “greedy” algorithm enables us to obtain an expansion of the integer n as a sum of binomial coefficients in the form (ar r ) + (ar−1 r−1 ) + · · · + (a1 1 ) . We give an alternate interpretation of this expansion, which also proves its uniqueness in an interesting manner. The 1996 Iranian mathematical olympiad competition contained the following problem. For n...

Introduction: Miller Range 99301 is a type 6, unbrecciated LL chondrite [1]. MIL 99301 is of interest because some compositional and petrographic features suggest it experienced rather high shock grades, whereas other features suggest it is relatively unshocked. Inconsistent shock indicators could be explained if MIL 99301 was shocked but then partly annealed by heat produced by impacts on the ...

Exposure of cells to adenosine receptor (AR) agonists leads to receptor uncoupling from G proteins and downregulation of the A(1)AR. The receptor levels on the cell surface generally recover on withdrawal of the agonist, because of either translocation of the sequestered A(1)AR back to plasma membrane or de novo synthesis of A(1)AR. To examine the mechanism(s) underlying A(1)AR downregulation a...

PURPOSE The aim of this study was to investigate the effect of self-paced active recovery (AR) and passive recovery (PR) on blood lactate removal following a 200 m freestyle swimming trial. PATIENTS AND METHODS Fourteen young swimmers (with a training frequency of 6-8 sessions per week) performed two maximal 200 m freestyle trials followed by 15 minutes of different recovery methods, on separ...

PURPOSE To identify the α(1)-adrenoceptor (α(1)-AR) subtypes mediating vascular adrenergic responses in murine ophthalmic arteries. METHODS Expression of mRNA was quantified for individual α(1)-AR subtypes in murine ophthalmic arteries using real-time PCR. To assess the functional relevance of α(1)-ARs for mediating vascular responses, ophthalmic arteries from mice deficient in one of the thr...

Beta(1) and beta(2) adrenergic receptors (AR) regulate the intrinsic contraction rate in neonatal mouse cardiac myocytes through distinct signaling pathways. It has been shown that stimulation of beta(1)ARs leads to a protein kinase A-dependent increase in contraction rate. In contrast, stimulation of beta(2)ARs has a biphasic effect on contraction rate, with an initial protein kinase A-indepen...

BACKGROUND Myocardial fibrosis is common in patients with chronic aortic regurgitation (AR). Experimentally, fibrosis with disproportionate noncollagen extracellular matrix (ECM) elements precedes and contributes to heart failure in AR. METHODS AND RESULTS We assessed [3H]-glucosamine and [3H]-proline incorporation in ECM, variations in cardiac fibroblast (CF) gene expression, and synthesis o...

The adrenergic receptors (ARs) (subtypes alpha 1, alpha 2, beta 1, and beta 2) are a prototypic family of guanine nucleotide binding regulatory protein-coupled receptors that mediate the physiological effects of the hormone epinephrine and the neurotransmitter norepinephrine. We have previously assigned the genes for beta 2- and alpha 2-AR to human chromosomes 5 and 10, respectively. By Souther...

α(1)-Adrenergic receptor (α(1)-AR) is a crucial mediator of cardiac hypertrophy. Although numerous intracellular pathways have been implicated in α(1)-AR-induced hypertrophy, its precise mechanism remains elusive. We aimed to determine whether α(1)-AR induces cardiac hypertrophy through a novel signaling pathway-α(1)-AR/epidermal growth factor receptor (EGFR)/signal transducer and activator of ...

Cholestasis has limited therapeutic options and is associated with high morbidity and mortality. The A(1) adenosine receptor (A(1)AR) was postulated to participate in the pathogenesis of hepatic fibrosis induced by experimental extrahepatic cholestasis; however, the contribution of A(1)AR to intrahepatic cholestatic liver injury remains unknown. Here, we found that mice lacking A(1)AR were resi...