Kumnungkit, Kanchana

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Kumnungkit, Kanchana
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kanchana.ku@kmitl.ac.th

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    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.
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    Universal Minimal Model for Glucose-Insulin Relationship with the Influence of Food Dynamic
    (2022-01-01)
    Kumnungkit, Kanchana
    ;
    Likasiri, Chulin
    ;
    Pongvuthithum, Radom
    ;
    Tantakitti, Faifan
    We propose a minimal model defining the relationship between glucose and insulin with the added influence of food intakes. The constructed model consists of a system of 3 nonlinear ordinary differential equations (ODEs). The solutions of our model for both normal and diabetic subjects are compared with a minimal model and a maximal model representing the same relationship. We found that the outputs of our model are similar to those from the minimal and maximal models for both normal and diabetic subjects; the R2 are 0.9997 and 0.9922, respectively, when compared with the minimal model, and are 0.9995 and 0.9940, respectively, when compared with the maximal model. Moreover, the relative errors between solutions are at most 0.9035% and as low as 1.488×10-2% on average when compared with the minimal model for normal subjects and at most 1.331% and as low as 0.1159% on average for diabetic subjects. The discrepancy between our model and the maximal model are at most 1.590% and 5.453% for normal and diabetic subjects, respectively, with a relative error averaging 0.2138% and 0.9002% for normal and diabetic subjects, respectively.
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    A Genetic Algorithm Approach for Intermodal Cooperation with High-Speed Rail: The Case of Thai Transportation System
    (2020-12-01)
    Boongasame, Laor
    ;
    Temdee, Punnarumol
    ;
    Kumnungkit, Kanchana
    The Thai government has a plan to start the first operation of the Thai High-Speed Rail (THSR) in 2021. However, ensuring the profit of THSR while limiting the project impacts on existing transport options is challenging. In this study, an approach for identifying the optimal travel frequency for impacted transportation services after the THSR operation is implemented. The genetic algorithm (GA) is introduced with specific value functions of various transport options, including rail, bus, and van, to reschedule each travelling option under the intermodal cooperation model. The constraint of GA is that the profit of the individual transport option in the next generation will have to be higher than the total profit of the previous generation. From the case study between Nakhon Ratchasima and Bangkok, the simulation results show that THSR and other transport options have overall gain higher profits after the start of THSR operation. Regarding social welfare theory, the simulation results show that the profit of each transport option is proven to be stable concerning travel schedule frequency after implementation of the THSR system.
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    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.
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    Comparative neurospora biorhythm on light vs light with FRQ protein
    (2017-01-01)
    Kumnungkit, Kanchana
    ;
    Suwannaut, Sarawut
    The Neurospora biorhythm model is based on the negative feed- back auto regulation of gene expression. This research is about the comparative mathematical model for Neurospora process which specific effects on light only and on light with the FRQ protein. The models are analyzed by a differential equation theory, to find equilibrium points, the stability and the limit cycle state. The Routh-Hurwitz criterion is used for finding the parameters that confirm each state. Besides, we can verify all values of the parameters by using numerical method and solution curves.