PTH elevates calcium level by dissolving the salts in bone and preventing their renal excretion. Stimulates [1-14C]-2-deoxy-D-glucose (2DG) transport and glycogen synthesis in osteoblastic cells.
Pathway
Class B/2 (Secretin family receptors), organism-specific biosystem; Endochondral Ossification, organism-specific biosystem; G alpha (s) signalling events, organism-specific biosystem; GPCR downstream signaling, organism-specific biosystem; GPCR ligand binding, organism-specific biosystem; Osteoblast Signaling, organism-specific biosystem; Signal Transduction, organism-specific biosystem;
Citations
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References
OPTIMAL GAUSSIAN APPROXIMATION FOR MULTIPLE TIME SERIES
We obtain an optimal bound for a Gaussian approximation of a large class of vector-valued random processes. Our results provide a substantial generalization of earlier results that assume independence and/or stationarity. Based on the decay rate of the functional dependence measure, we quantify the error bound of the Gaussian approximation using the sample size n and the moment condition. Under the assumption of pth finite moment, with p > 2, this can range from a worst case rate of n(1/2) to the best case rate of n(1/p).
Spaces of measurable functions on the Levi-Civita field
We introduce the L-p spaces of measurable functions whose pth power is summable with respect to the uniform measure over the Levi-Civita field. These spaces are the counterparts of the real L-p spaces based upon the Lebesgue measure. Nevertheless, they lack some properties of the L-p spaces: for instance, the L-p spaces are not sequentially complete with respect to the p-norm. This motivates the study of the completions of the L-p spaces with respect to strong convergence, denoted by L-s(p). It turns out that the L-s(p) spaces are Banach spaces and that it is possible to define an inner product over L-s(2), thus making it a Hilbert space. Despite these positive results, these spaces are still not rich enough to represent every real continuous function. For this reason, we settle upon the representation of real measurable functions as sequences of measurable functions in R that weakly converge in measure. We also define a duality between measurable functions and representatives of continuous functions. This duality enables the study of some measurable functions that represent real distributions. We focus our discussion on the representatives of the Dirac distribution and on the well-known problem of the product between the Dirac and the Heaviside distribution, and we show that the solution obtained with measurable functions over R is consistent with the result obtained with other nonlinear generalized functions. (C) 2020 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
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