Optimal Alternative to the Akima's Method of Smooth Interpolation Applied in Diabetology

Journal Title: Surveys in Mathematics and its Applications - Year 2006, Vol 1, Issue 0

Abstract

It is presented a new method of cubic piecewise smooth interpolation applied to experimental data obtained by glycemic profile for diabetics. This method is applied to create a soft useful in clinical diabetology. The method give an alternative to the Akima's procedure of the derivatives computation on the knots from [Akima, J. Assoc. Comput. Mach., 1970] and have an optimal property.

Authors and Affiliations

Alexandru Mihai Bica, Marian Degeratu, Luiza Demian

Keywords

Related Articles

A Fuzzy Commitment Scheme with McEliece's Cipher

In this paper an attempt has been made to explain a fuzzy commitment scheme with McEliece scheme. The efficiency and security of this cryptosystem is comparatively better than any other cryptosystem. This scheme is one o...

Computing optimal control with a quasilinear parabolic partial differential equation

This paper presents the numerical solution of a constrained optimal control problem (COCP) for quasilinear parabolic equations. The COCP is converted to unconstrained optimization problem (UOCP) by applying the exterior...

Uncertainty functional differential equations for finance

In this paper, we prove a local existence and uniqueness result for uncertain functional differential equation driven by canonical process.

http://www.utgjiu.ro/math/sma/v02/p10.pdf

In this paper, we shall establish sufficient conditions for the existence of solutions for a first order boundary value problem for fractional differential equations.

Modeling Seasonal Time Series

The paper studies the seasonal time series as elements of a (finite dimensional) Hilbert space and proves that it is always better to consider a trend together with a seasonal component even the time series seams not to...

Download PDF file
  • EP ID EP134368
  • DOI -
  • Views 87
  • Downloads 0

How To Cite

Alexandru Mihai Bica, Marian Degeratu, Luiza Demian (2006). Optimal Alternative to the Akima's Method of Smooth Interpolation Applied in Diabetology. Surveys in Mathematics and its Applications, 1(0), 41-49. https://europub.co.uk./articles/-A-134368