Publication: Modelos matemáticos para el tratamiento de la enfermedad de Alzhéimer
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2012
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Abstract
El alzhéimer es una enfermedad neurodegenerativa progresiva que destruye la memoria y las habilidades cognitivas. El alzhéimer se caracteriza por la presencia de dos tipos de características neuropatológicas: placas extracelulares y ovillos neurofibrilares intracelulares. Este trabajo consiste en un estudio de cinco tipos distintos de medicamentos, modelizado mediante ecuaciones en derivadas parciales, mediante un análisis de sensibilidad usando el método LHS con el cual obtenernos correlaciones que nos hacen intuir que medicamento será más efectivo en el alzhéimer, por último, para culminar este estudio se usa el método de diferencias finitas de líneas para resolver estas ecuaciones y dar pie a un futuro estudio más exhaustivo.
Alzheimer is a progressive neurodegenerative disease that destroys memory and cognitive abilities. Alzheimer is characterized by the presence of types of neuropathological features: extracellular plaques and intracellular neurofibrillary tangles. This work consists in a study of five different types of drugs, model through derivations in partial derivatives, by means of a sensitivity analysis using the LHS method with which to obtain the correlations that make us intuit that the drug is more effective in the Alzheimer, finally, to complete this study, the method of finite differences of lines is used to solve these equations and give rise to a more exhaustive future study.
Alzheimer is a progressive neurodegenerative disease that destroys memory and cognitive abilities. Alzheimer is characterized by the presence of types of neuropathological features: extracellular plaques and intracellular neurofibrillary tangles. This work consists in a study of five different types of drugs, model through derivations in partial derivatives, by means of a sensitivity analysis using the LHS method with which to obtain the correlations that make us intuit that the drug is more effective in the Alzheimer, finally, to complete this study, the method of finite differences of lines is used to solve these equations and give rise to a more exhaustive future study.
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