Bioingeniería
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Browsing Bioingeniería by Author "Bermeo, Leonardo Antonio (Director)"
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Item Estimación de parámetros en el tratamiento del cáncer por quimioterapia por medio del algoritmo de levenbergmarquardt(Universidad Santiago de Cali, 2021) Restrepo Diaz, Maria Paula; Paz Carmona, Juan David; Bermeo, Leonardo Antonio (Director)Cancer is a disease that in most cases causes death. One of the most commonly prescribed treatments for cancer patient is chemotherapy. The patients undergoing this treatment have a number of side effects throughout the process because these drugs reach the tumor at a very low percentage dissipating dissipating the remaining percentage of the drug in the patient’s body, affecting also healthy cells and tissues. To improve the behavior of chemotherapy in cancer patients, it is important to study this treatment during the administration of the drug. Chemotherapy can be simulated by mathematical models that allow the analysis of biological systems, and thus improve their behavior from computational simulations. However, there are different models that describe the dynamics of treatment and it is not an easy task to decide which model is the most suitable for a specific treatment which in turn depends on parameters whose behavior is not well known. In this way, simulations for different mathematical models are carried out to know the behavior of chemotherapy, once these simulations are performed, the model that most closely approaches an experimental process of growth of DU-145 cells is chosen and the rate of decay of the drug Doxorubicin is chosen using the Levenberg-Marquardt algorithm between the tumor cell growth model and the experimental data. The results indicate that it is only possible to estimate one parameter of the system due to the dependence between them and low sensitivity, thus the estimation of the decay rate of the drug is performed. The results obtained here seek to establish protocols for the planning of chemotherapy with new drugs and different doses in their application and the contribution to a standardization of this parameter in processes of chemotherapy application with Doxorubicin.