Contributed Session Thu.3.MA 376

Thursday, 15:15 - 16:45 h, Room: MA 376

Cluster 12: Life sciences & healthcare [...]

Mathematical modeling of disease


Chair: Rujira Ouncharoen



Thursday, 15:15 - 15:40 h, Room: MA 376, Talk 1

Ivan M. Savic
Mathematical modeling of amygdalin isolation from plum kernel using response surface methodology

Coauthors: Ljubisa B. Nikolic, Vesna D. Nikolic, Ivana M. Savic, Mihajlo Z. Stankovic


Amygdalin belongs in the group of anticancer agents. It has a high application in treatment of cancer, because of its selective impact on the tumor cells. The aim of this study was to model and optimize a process of amygdalin isolation from plum kernel (Nucleus Prunus Domestica) using response surface methodology. The time of extraction, ethanol concentration, the ratio of plant material to solvent and temperature were used as independent variables, while the yield of amygdalin as dependent variable for central composite design. The second order polynomial model was successfully applied for mathematical modeling of this process. A correlation coefficient of 0.7768 indicates on a good fitting of observed with predicted data. By desirability function, the extraction process was optimized. The optimal amygdalin yield of 15.83,g/100,g d.e. was achieved after 120,min using 20,% ethanol at the solvomodule of 1,:,25~(m/V) and temperature of 78°,C.



Thursday, 15:45 - 16:10 h, Room: MA 376, Talk 2

Rujira Ouncharoen
Stability of HIV aphaeresis model

Coauthors: Thongchai Dumrongpokaphan, Siriwan Intawichai


The new approach in treating the human immunodeficiency virus (HIV) infection is aphaeresis. It is a method of collecting larger quantities of certain blood components that can safely be collected through a simple blood draw. In this paper, we investigate the effect of HIV aphaeresis in a model of HIV infection. Sufficient conditions are given to ensure the endemic equilibrium point is stable which mean the viral load is under control.


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