KMITL

Permanent URI for this communityhttps://dspace.kmitl.ac.th/handle/kmitl/1

Browse

Settings

Author: search.filters.author.Lenbury, YongwimonSubject: search.filters.subject.Mathematical model

Search Results

Now showing 1 - 2 of 2
  • Loading...
    Thumbnail Image
    Some of the metrics are blocked by your 
    consent settings
    Item type:Publication,
    Approximate solutions and parameter estimations of G-protein coupled receptor signal transduction model
    (2013-02-20)
    Modchang, Charin
    ;
    Pimpunchat, Busayamas
    ;
    Lenbury, Yongwimon
    ;
    Triampo, Wannapong
    We find approximate analytical solutions of a model for the signal transduction mediated by the G-protein coupled receptor proposed earlier by Modchang et al. The time evolution of the approximate solutions will be explored and compared with numerical solutions of the model. Moreover, an alternative procedure for estimating unknown parameters in the model has been proposed. This alternative parameter estimation method directly uses the exact equilibrium solutions for fitting with the experimental data. We found that this new parameter estimation method can estimate unknown parameter values faster than the method used in previous works. © 2013 Pushpa Publishing House.
  • 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.