En este trabajo retomamos el modelo matemático de Anderson y Chaplain (1998) formado por tres ecuaciones diferenciales, que describe la respuesta migratoria inicial de las células endoteliales al factor angiogénico tumoral (TAF) y a la fibronectina. Aplicamos el método variacional a los problemas de contorno mixto homogéneo y no homogéneo, que surgen del modelo antes citado, para demostrar la existencia, unicidad y dependencia continua respecto de los datos de la solución débil de dichos problemas.
Abstract En este trabajo retomamos el modelo matemático de Anderson y Chaplain (1998) formado por tres ecuaciones diferenciales, que describe la respuesta migratoria inicial [...]
The knowledge of ancestral peoples is retaken as an important knowledge in their relationship with nature and to face climate change; culture that must be confirmed by science. To give the reason for the mentioned knowledge, when using channel lattices for their plots, it is necessary to model them using flow equations. Applying the equations of shallow water can simulate the hydrodynamic behavior and dissipation of energy by passing a flow in a lattice of channels. To model the grid the geometry of the flow networks used in geotechnics was drawn, the networks are an engineering solution to the Laplace equation. When passing the water through the reticle it was observed, in a 2D simulation with the Iber v2.5 software, that the draft remains constant. It was also noted that the reticle is an efficient way to dissipate energy. In this way it was discovered that the channel lattice is a solution to the equations of a shallow water joint. Through the results obtained, a field of research is intuited when modeling reticles of channels for the use and management of water.
Abstract The knowledge of ancestral peoples is retaken as an important knowledge in their relationship with nature and to face climate change; culture that must be confirmed by science. [...]