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Listar por autor "Morales Rodrigo, Cristian"
Mostrando ítems 1-20 de 26
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Artículo
A therapy inactibating the tumor angiogenic factors
Morales Rodrigo, Cristian (AIMS Press, 2012-12-01)This paper is devoted to a nonlinear system of partial differential equations modeling the effect of an anti-angiogenic ...
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Artículo
An angiogenesis model with nonlinear chemotactic response and flux at the tumor boundary
Delgado Delgado, Manuel; Gayte Delgado, María Inmaculada; Morales Rodrigo, Cristian; Suárez Fernández, Antonio (Elsevier, 2010-01-01)In this paper we consider a parabolic problem as well as its stationary counterpart of a model arising in angiogenesis. ...
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Artículo
An optimal control problem for a Kirchhoff-type equation
Delgado Delgado, Manuel; Malcher Figueiredo, Giovany de Jesus; Gayte Delgado, María Inmaculada; Morales Rodrigo, Cristian (EDP Sciences, 2017)In this paper we study a control problem for a Kirchhoff-type equation. The method to obtain first order necessary optimality ...
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Artículo
Anti-angiogenic therapy based on the binding receptors
Delgado Delgado, Manuel; Morales Rodrigo, Cristian; Suárez Fernández, Antonio (American Institute of Mathematical Sciences, 2012-11)This paper deals with a nonlinear system of partial differential equations modeling the effect of an anti-angiogenic therapy ...
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Artículo
Asymptotic behaviour of global solutions to a model of cell invasion
Litcanu, Gabriela; Morales Rodrigo, Cristian (World Scientific, 2010-09)In this paper we analyze a mathematical model focusing on key events of the cells invasion process. Global well-possedness ...
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Artículo
Combining linear and fast diffusion in a nonlinear elliptic equation
Cintra da Silva, Willian; Morales Rodrigo, Cristian; Suárez Fernández, Antonio (Springer, 2017-02)In this paper we analyse an elliptic equation that combines linearand nonlinear fast diffusion with a logistic type reaction ...
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Ponencia
Convergencia al equilibrio en un modelo simplificado de angiogénesis
Litcanu, Gabriela; Morales Rodrigo, Cristian (2007-09)En esta comunicación abordamos una clase general de modelos con origen en biología. En particular los modelos describen el movimiento de bacterias, procesos invasivos tumorales y el proceso de angiogénesis asociado a los tumores.
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Tesis Doctoral
Ecuaciones en derivadas parciales con condiciones de contorno no lineales aplicaciones a la dinámica de tumores
Morales Rodrigo, Cristian (2009)Esta tesis presenta tres partes: En la primera haremos un estudio teórico general de las ecuaciones elípticas en derivadas ...
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Trabajo Fin de Grado
Estudio de modelos de ecuaciones diferenciales en Neurociencia. El sistema de FitzHugh-Nagumo
Carballés Balsa, Rut (2018)In this work, we will consider the study of the FitzHugh-Nagumo system, a simplification of the well-known Hodgkin-Huxley ...
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Tesis Doctoral
Estudio de soluciones positivas de problemas elípticos con coeficiente de difusión no-local.
Figueiredo de Sousa, Tarcyana do Socorro (2018-07-10)En esta Memoria estudiamos teóricamente ecuaciones en derivadas parciales elípticas no lineales con coeficiente de difusión ...
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Artículo
Global solutions and asymptotic behavior for a parabolic degenerate coupled system arising from biology
Litcanu, Gabriela; Morales Rodrigo, Cristian (Elsevier, 2010-01-01)In this paper we will focus on a parabolic degenerate system with respect to unknown functions u and w on a bounded domain ...
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Artículo
Local existence and uniqueness of regular solutions in a model of tissue invasion by solid tumours
Morales Rodrigo, Cristian (Elsevier, 2008-03)In this paper we consider a nonlinear system of differential equations arising in tumour invasion which has been proposed ...
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Artículo
Long-time behavior of an angiogenesis model with flux at the tumor boundary
Cieslak, Tomasz; Morales Rodrigo, Cristian (Springer, 2013-12)This paper deals with a nonlinear system of partial differential equations modeling a simplified tumor-induced angiogenesis ...
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Artículo
Mathematical modelling of cancer invasion of tissue the role and effect of nonlocal interactions
Szymanska, Zuzanna; Morales Rodrigo, Cristian; Lachowicz, Miroslaw; Chaplain, Mark A.J. (World Scientific, 2009-02)In this paper we consider a mathematical model of cancer cell invasion of tissue (extracellular matrix). Two crucial ...
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Trabajo Fin de Grado
Modelos de ecuaciones diferenciales con origen en biología
Saravia Garrido, Paula (2018)In this manuscript we introduce a model of systems of ordinary nonlinear equations that represents different cell mutations. ...
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Artículo
Nonnegative solutions to an elliptic problem with nonlinear absorption and a nonlinear incoming flux on the boundary
García Melián, Jorge José; Morales Rodrigo, Cristian; Rossi Pérez, Julio Daniel; Suárez Fernández, Antonio (Springer, 2008-07)In this paper we perform an extensive study of the existence, uniqueness (or multiplicity) and stability of nonnegative ...
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Artículo
On a parabolic-elliptic chemotactic model with coupled boundary conditions
Delgado Delgado, Manuel; Morales Rodrigo, Cristian; Suárez Fernández, Antonio; Tello del Castillo, José Ignacio (Elsevier, 2010-10)This paper deals with a nonlinear system of parabolic-elliptic type with a logistic source term and coupled boundary ...
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Artículo
On some models describing cellular movement: The macroscopic scale
Morales Rodrigo, Cristian (Sociedad Española de Matemática Aplicada, 2009-09)Along this work we will consider several models of partial differential equations that describe cellular movement. We will introduce some mathematical techniques in order to describe the behaviour of the solutions of these models.
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Artículo
Optimal control of a chemotaxis equation arising in angiogenesis
Delgado, M.; Gayte, I.; Morales Rodrigo, Cristian (AIMS Press, 2021-11)In this paper we consider an optimal control for an equation that models a crucial step in the tumor development, the ...
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Artículo
Quasilinear non-uniformly parabolic-elliptic system modelling chemotaxis with volume filling effect. Existence and uniqueness of global-in-time solutions
Cieslak, Tomasz; Morales Rodrigo, Cristian (Juliusz Schauder Center for Nonlinear Studies, 2007)A system of quasilinear non-uniformly parabolic-elliptic equations modelling chemotaxis and taking into account the volume ...