TY - GEN
T1 - Determination of bermang'sminimal model parameters for diabetic mice treated with ibervillea sonorae
AU - Sánchez-Velarde, Emmanuel S.
AU - Sotelo-de Ávila, Alejandro A.
AU - Rico-Asención, Itzamná O.
AU - Budar-Alemán, Nayely R.
AU - Sánchez-González, Rodrigo
AU - Ramírez-Sotelo, María G.
AU - Cabrera-Llanos, Agustín I.
N1 - Publisher Copyright:
© Springer International Publishing Switzerland 2015.
PY - 2015
Y1 - 2015
N2 - This article shows the estimation of Bergman's Minimal Model parameters for glucose-insulin interaction in three stages: evolution of the concentration of insulin, evolution of glucose and glucose/insulin interaction itself. First, the dynamics of glucose measured in healthy mice treated with extracts of Ibervillea sonorae root in a range of 100-400 mg/kg; likewise, for mice previously induced with diabetes mellitus type 2 values are determined The different parameter values obtained are compared showing how they influence the dynamics of Bergman's Model. The values of the glucose/insulin interaction where obtained in vivo by blood samples of the mice every hour. The evolution and variability of the estimate are shown in graphical form; alsothe estimation error is quantified by performance curves, which were associated to the energy that is implied in the difference between the values of the parameters obtained and the data obtained in the kinematics of the mice. The results indicate the estimated level reached, where the upper value of the performance curve was 3.0128, while the lower was 0.1978, with standard error values between 1.55% and 10.47%.
AB - This article shows the estimation of Bergman's Minimal Model parameters for glucose-insulin interaction in three stages: evolution of the concentration of insulin, evolution of glucose and glucose/insulin interaction itself. First, the dynamics of glucose measured in healthy mice treated with extracts of Ibervillea sonorae root in a range of 100-400 mg/kg; likewise, for mice previously induced with diabetes mellitus type 2 values are determined The different parameter values obtained are compared showing how they influence the dynamics of Bergman's Model. The values of the glucose/insulin interaction where obtained in vivo by blood samples of the mice every hour. The evolution and variability of the estimate are shown in graphical form; alsothe estimation error is quantified by performance curves, which were associated to the energy that is implied in the difference between the values of the parameters obtained and the data obtained in the kinematics of the mice. The results indicate the estimated level reached, where the upper value of the performance curve was 3.0128, while the lower was 0.1978, with standard error values between 1.55% and 10.47%.
KW - Bergman's Minimal Model
KW - Diabetic mice
KW - Ibervillea sonorae
KW - Parameter estimation
UR - http://www.scopus.com/inward/record.url?scp=84944351002&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-19387-8_415
DO - 10.1007/978-3-319-19387-8_415
M3 - Contribución a la conferencia
AN - SCOPUS:84944351002
SN - 9783319193878
T3 - IFMBE Proceedings
SP - 1708
EP - 1711
BT - World Congress on Medical Physics and Biomedical Engineering, 2015
A2 - Jaffray, David A.
PB - Springer Verlag
T2 - World Congress on Medical Physics and Biomedical Engineering, 2015
Y2 - 7 June 2015 through 12 June 2015
ER -