Monotonic properties of the shift and penetration factors

We study derivatives of the shift and penetration factors of collision theory with respect to energy, angular momentum, and charge. Definitive results for the signs of these derivatives are found for the repulsive Coulomb case. In particular, we find that the derivative of the shift factor with respect to energy is positive for the repulsive Coulomb case, a long anticipated but heretofore unproven result. These results are closely connected to the properties of the sum of squares of the regular and irregular Coulomb functions; we also present investigations of this quantity.Comment: 13 pages, 1 figur

Proceedings of the Conference on Water Resources: October 1-3, 1951

On the occasion of the dedication of the Water Resources Building. Includes bibliographical references

Assays for Insulin and Insulin-Like Signal Transduction Based on Adipocytes, Hepatocytes, and Myocytes

After having established insulin-like activity of compounds/drug candidates in primary or cultured adipose, muscle, and liver cells or tissues with one or several of the metabolic assays described above (see K.6.1 and K.6.2), it is often useful to elucidate the molecular mode of action of these compounds/drug candidates for further characterization and optimization, in particular regarding selectivity and potency. For this, detailed knowledge in the molecular mechanisms of the insulin signal transduction cascade as well as of cross-talking insulin-like signaling pathways as well as the availability of appropriate reliable and robust cell-free and cell-based assays reflecting these events is required. The following view results from the current experimental findings but, due to limitations in space and rapid progress still made in this area, has to be considered as simplified and temporary, only