Inequalities satisfied by the zeros of the solutions of second order hypergeometric equations are derived through a systematic use of Liouville transformations together with the application ofâ€¦ (More)

Pancreatic islets are neuroendocrine organs that control blood glucose homeostasis. The precise interplay of a heterogeneous group of cell populations (Î², Î±, Î´ and PP cells) results in the fine-tunedâ€¦ (More)

Two Fortran 77 routines for the evaluation of Airy functions of complex arguments Ai(z), Bi(z) and their first derivatives are presented. The routines are based on the use of Gaussian quadrature,â€¦ (More)

Exocytosis in neuroendocrine cells is a process triggered by Ca(2+). A Monte Carlo simulation of secretion has been developed which, together with the diffusion of calcium, buffered by endogenousâ€¦ (More)

Integral representations are considered of solutions of the Airy differential equation w â€²â€²âˆ’zw=0 for computing Airy functions for complex values of z. In a first method contour integralâ€¦ (More)

Abstract. Algorithms for the numerical evaluation of the incomplete gamma function ratios P (a, x) = Î³(a, x)/Î“(a) and Q(a, x) = Î“(a, x)/Î“(a) are described for positive values of a and x. Also,â€¦ (More)

We describe a variety of methods to compute the functions <i>K</i><sub><i>ia</i></sub>(<i>x</i>), <i>L</i><sub><i>ia</i></sub>(<i>x</i>) and their derivatives for real <i>a</i> and positive <i>x</i>.â€¦ (More)

Botulinum neurotoxins (BoNTs) represent a revolution in cosmetic science because of their remarkable and long-lasting antiwrinkle activity. However, their high neurotoxicity seriously limits theirâ€¦ (More)