+ Resolve Article
+ Follow Us
Follow on FacebookFollow on Facebook
Follow on TwitterFollow on Twitter

+ Translate
+ Subscribe to Site Feed
GeoScience Most Shared ContentMost Shared Content

A discrete Single Delay Model for the Intra-Venous Glucose Tolerance Test

, : A discrete Single Delay Model for the Intra-Venous Glucose Tolerance Test. Theoretical Biology & Medical Modelling 4(): 35-35

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. 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) SI index, insulin sensitivity is directly represented by the free parameter KxgI of the SDM. In order to assess the reliability of Insulin Sensitivity determinations, both SDM and MM have been fitted to 40 IVGTTs from healthy volunteers. Precision of all parameter estimates is better with the SDM: 40 out of 40 subjects showed identifiable (CV < 52%) KxgI from the SDM, 20 out of 40 having identifiable SI from the MM. KxgI correlates well with the inverse of the HOMA-IR index, while SI correlates only when excluding five subjects with extreme SI values. With the exception of these five subjects, the SDM and MM derived indices correlate very well (r = 0.93). The SDM is theoretically sound and practically robust, and can routinely be considered for the determination of insulin sensitivity from the IVGTT. Free software for estimating the SDM parameters is available.


PMID: 17850652

DOI: 10.1186/1742-4682-4-35

Other references

Wenger, M., 2002: Monosegmental , degenerative, cervical discopathy treated by surgery with insertion of an intervertebral cage. Monosegmental, degenerative, cervical discopathy may become symptomatic because of spinal instability or neurocompression and may present as cervicalgia, radiculopathy and myelopathy. Conservative therapy of these conditions is indicated only in c...

Gutierrez, J.Pablo.; Smith, I.B.; Wilcox, C.Mel.; Mönkemüller, K., 2014: Bile leak from the duct of Luschka treated with double-balloon enteroscopy ERCP in a patient with Roux-en-Y gastric bypass. Endoscopy 45 Suppl 2 Uctn: E404-E404

Landau, R.L.; Lugibihl, K.; Dimick, D.F., 1958: Metabolic effects in man of steroids with progestational activity. Annals of the New York Academy of Sciences 71(5): 588-598

Hu, Y.; Wang, Z.; Pan, S.; Zhang, H.; Fang, M.; Jiang, H.; Zhang, H.; Gao, Z.; Xu, K.; Li, Z.; Xiao, J.; Lin, Z., 2017: Melatonin protects against blood-brain barrier damage by inhibiting the TLR4/ NF-κB signaling pathway after LPS treatment in neonatal rats. Hypoxic-ischemic and inflammatory (HII) induces the disruption of blood-brain barrier (BBB) which leads to inflammatory responses and neuronal cell death, resulting in brain secondary damage. Previous studies showed that melatonin produced potent...

Wain, R.L.; Sobotka, W.; Spencer, D.M., 1963: Investigations on fungicides. VIII. The fungicidal properties of some thiocarbamoylthionitroparafflns. Some of these compounds were found to be fungistatic to Botrytis cinerea spores at Wye Coll., Ashford, Kent, The 2 most active gave good protection against B. fabae and Uromyces fabae on broad bean and Erysiphe graminis on wheat, with low phytotox...

Lally, R.M., 2009: Bullies aren't only on the playground: a look at nurse-on-nurse violence. Ons Connect 24(2): 17-17

Killen, D.A.; Harrori, H.; Zukoski, C.F., 1971: Attempts to alter renal homograft rejection by induction of antilymphocyte auoimmunity. Journal of Surgical Oncology 3(5): 559-563

Zhang, X., 1984: Comparison between methods of correcting mutant frequency in radiation breeding of barley. Fisher's sib method was preferred over the Gaul and Bengtsson methods of correcting mutant frequency in the M2 as it gave a result which approached the theoretical correction value.

Gregory, J., 2002: Outbreaks of diarrhoea associated with butterfish in Victoria. Communicable Diseases Intelligence Quarterly Report 26(3): 439-440

Kelker, H.A.; Briggs, K.G., 1979: The effects of intergenotypic competition and interplant spacings in simulated segregating rows of wheat. From data on height, growth period and yield components from seven wheats grown at within-row spacings of 5 and 10 cm in rows consisting of pure and mixed stands, it is concluded that it is impossible to generalize over the effects of competition...