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A new classification of two-dimensional real division algebras is given. We also obtain a new classification of commutative real division algebras.
KVLQT1 (KCNQ1) is a voltage-gated K+ channel essential for repolarization of the heart action potential that is defective in cardiac arrhythmia. The channel is inhibited by the chromanol 293B, a compound that blocks cAMP-dependent electrolyte secretion in rat and human colon, therefore suggesting expression of a similar type of K+ channel in the colonic… (More)
Previous studies have shown that heteromultimeric KCNQ1/KCNE1 (KvLQT1/minK) channels and homomultimeric KCNQ1 (KvLQT1) channels exhibit different current properties, e.g. distinct kinetics and different sensitivities to drugs. In this study we report on the divergent responses to internal pH changes and further characterize some of the current properties of… (More)
We address the issue of statistical power and sample size for cost-effectiveness studies. Tests of hypotheses on the cost-effectiveness ratio (CER) are constructed from the net cost and incremental effectiveness measures. When the difference in effectiveness is known, we derive formulae for statistical power and sample size assessments for one- and… (More)
The flavonoid genistein has been shown to activate a Cl(-) conductance in various cell types expressing CFTR. We examined if similar effects can be observed when genistein is applied to native ex vivo tissues from human respiratory tract and rectum. We further compared the effects when genistein was applied to oocytes of Xenopus laevis expressing CFTR. In… (More)
Mutations in the gene encoding the renal epithelial K(+) channel ROMK1 (Kir 1.1) is one of the causes for Bartter's syndrome, an autosomal recessive disease. It results in defective renal tubular transport in the thick ascending limb of the loop of Henle that leads to hypokalemic metabolic alkalosis and loss of salt. Two novel ROMK1 mutations, L220F/A156V,… (More)
A spectral method is used to compute maximum likelihood estimators for parameters occuring in innnite dimensional stochastic evolution systems du(t) = (A 0 (t) + A 1 (t))u(t)dt + BdW(t) : The MLE's are based on nite dimensional approximations to solutions of such systems. We characterize the asymptotic behaviour of the estimators such as consistency and… (More)
In this paper we consider the problem of estimating a coefficient of a strongly elliptic partial differential operator in stochastic parabolic equations. The coefficient is a bounded function of time. We compute the maximum likelihood estimate of the function on an approximating space (sieve) using a finite number of the spatial Fourier coefficients of the… (More)
A maximum likelihood estimate of a scalar parameter is constructed for a stochastic evolution system using the Galerkin approximation of the original equation. Conditions are established to guarantee the consistency and asymptotic normality of the estimator as the dimension of the approximation tends to infinity. Examples are given to illustrate the results.