AN E-LEARNING TOOL FOR MATHEMATICAL MODEL OF CHOLESTEROL HOMEOSTASIS DEPENDING ON DIET AND AGES
AN E-LEARNING TOOL FOR MATHEMATICAL MODEL OF CHOLESTEROL HOMEOSTASIS DEPENDING ON DIET AND AGES

Summary/Abstract: The human health has many important aspects and the cholesterol regulation is one of them. The low-density lipoproteins cholesterol (LDL-C) transports plasma cholesterol (about 60%) and it is responsible by its depositing on arteries for atherosclerotic process, increasing the probability of cardiovascular events. High-density lipoproteins (HDL) can reduce this process by transport about 30% of plasma cholesterol. The balance is modified in the process of aging and depend also of other factors as diet, and physical exercises. An educational tool is proposing that use basically two mathematical models: (1) a simple one by two compartment model proposed by Wona & Hrydziuszko that include an dietary term, and (2) a more complex one that include the mechanism of simulation of aging proposed by Mc Auley. The values of parameters for both models are taken from literature and the user can modify them in order to test and simulated the models. The diet is modeled in the first model as an additive variable, and other variable are deduced from stability analysis and are assumed based on heuristic trials. In the second model, the mechanism of aging is simulated empirically (because the complete mechanism is not known yet) by increasing the LDL-C values and decreasing the number of hepatic LDL receptors (HLDLR) by decreasing the parameter that represents rate of synthesis. The tool has a library with selected curves for (HDL-C) and (LDL-C) from different countries of the world by age and sex extracted from literature. In the future development, this information will be used to model and analytic additive function for (LDL-C) curve by fitting of parameters with experimental one in system of differential equations that models the cholesterol homeostasis.

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