Báo cáo y học: "A discrete Single Delay Model for the Intra-Venous Glucose Tolerance Test"

Tuyển tập các báo cáo nghiên cứu về y học được đăng trên tạp chí y học quốc tế cung cấp cho các bạn kiến thức về ngành y đề tài: "A discrete Single Delay Model for the Intra-Venous Glucose Tolerance Test | Theoretical Biology and Medical Modelling BioMed Central Research Open Access A discrete Single Delay Model for the Intra-Venous Glucose Tolerance Test Simona Panunzi 1 Pasquale Palumbo2 and Andrea De Gaetano1 Address 1CNR-IASI BioMatLab Largo A. Gemelli 8 - 00168 Rome Italy. and 2CNR-IASI Viale A. Manzoni 30 - 00185 Rome Italy. Email Simona Panunzi - Pasquale Palumbo - palumbo@ Andrea De Gaetano - Corresponding author Published 12 September 2007 Received 5 April 2007 T s n __ . ftftft-7 . - r J_. Ift I I ft .Zftft . - 1- Accepted 12 September 2007 Theoretical Biology and Medical Modelling 2007 4 35 doi 1742-4682-4-35 This article is available from http content 4 1 35 2007 Panunzi et al licensee BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License http licenses by which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. Abstract Background Due to the increasing importance of identifying insulin resistance a need exists to have a reliable mathematical model representing the glucose insulin control system. Such a model should be simple enough to allow precise estimation of insulin sensitivity on a single patient yet exhibit stable dynamics and reproduce accepted physiological behavior. Results A new discrete Single Delay Model SDM of the glucose insulin system is proposed applicable to Intra-Venous Glucose Tolerance Tests IVGTTs as well as to multiple injection and infusion schemes which is fitted to both glucose and insulin observations simultaneously. The SDM is stable around baseline equilibrium values and has positive bounded solutions at all times. Applying a similar definition as for the Minimal Model MM S index insulin sensitivity is directly represented by the free parameter KxgI of the