Kumnungkit, Kanchana

Loading...
Thumbnail Image
Preferred name
Kumnungkit, Kanchana
Main Affiliation
Email
kanchana.ku@kmitl.ac.th

Settings

Now showing 1 - 2 of 2
  • Loading...
    Thumbnail Image
    Some of the metrics are blocked by your 
    consent settings
    Item type:Publication,
    Modelling glucose-insulin feedback signal interchanges involving β-cells with delays
    (2008-01-01)
    Sarika, Warunee
    ;
    Lenbury, Yongwimon
    ;
    Kumnungkit, Kanchana
    ;
    Kunphasuruang, Wannapa
    In this paper, we studied a mathematical model system of delay-differential equations which describe the dynamic behavior of the glucose-insulin feedback system which involved β-cells, incorporating two time delays, one being the glucose triggered insulin production delay τ<inf>g</inf>, and the other being the hepatic glucose delay τ<inf>i</inf>. This secretory mechanism was governed by nonlinear and time-delayed feedforward and feedback signal interchanges. Moreover, delayed responses to the changes in β-cell density were incorporated. The model system was analyzed to investigate the effect of delays on the dynamic behavior of the system and the possibility of periodic solution which simulate sustained oscillations frequently observed in the experiments.
  • Loading...
    Thumbnail Image
    Some of the metrics are blocked by your 
    consent settings
    Item type:Publication,
    A mathematical model for erythroid regulation
    (2006-06-01)
    Kumnungkit, Kanchana
    ;
    Tang, I. Ming
    A mathematical model connecting the dynamics of the essential components in this process; the erythrocytes (RBC), the hormone erythropoietin (EPO) and the oxygen is proposed. A time delay is included to simulate the dynamics of the maturation steps. A bifurcation analysis is performed to determine the ranges of parameter values. The effects of the time delay are seen in the simulated production of the erythrocytes as the delay time is increased past the critical value.