Perfil del autor: Morales Rodrigo, Cristian
Datos institucionales
| Nombre | Morales Rodrigo, Cristian |
| Departamento | Ecuaciones Diferenciales y Análisis Numérico |
| Área de conocimiento | Análisis Matemático |
| Categoría profesional | Profesor Titular de Universidad |
| Correo electrónico | Solicitar |
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Estadísticas
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Nº publicaciones
26
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Nº visitas
4505
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Nº descargas
7196
| Publicaciones |
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Artículo
 Optimal control of a chemotaxis equation arising in angiogenesis
(AIMS Press, 2021)
In this paper we consider an optimal control for an equation that models a crucial step in the tumor development, the ... |
Artículo
Unilateral global bifurcation for a class of quasilinear elliptic systems and applications
(Elsevier, 2019)
In this paper we establish a unilateral bifurcation result for a class of quasilinear elliptic system strongly coupled, ... |
Tesis Doctoral
Estudio de soluciones positivas de problemas elípticos con coeficiente de difusión no-local.
(2018)
En esta Memoria estudiamos teóricamente ecuaciones en derivadas parciales elípticas no lineales con coeficiente de difusión ... |
Trabajo Fin de Grado
Estudio de modelos de ecuaciones diferenciales en Neurociencia. El sistema de FitzHugh-Nagumo
(2018)
In this work, we will consider the study of the FitzHugh-Nagumo system, a simplification of the well-known Hodgkin-Huxley ... |
Trabajo Fin de Grado
Modelos de ecuaciones diferenciales con origen en biología
(2018)
In this manuscript we introduce a model of systems of ordinary nonlinear equations that represents different cell mutations. ... |
Artículo
Refuge versus dispersion in the logistic equation
(Elsevier, 2017)
In this paper we consider a logistic equation with nonlinear diffusion arising in population dynamics. In this model, there ... |
Artículo
Combining linear and fast diffusion in a nonlinear elliptic equation
(Springer, 2017)
In this paper we analyse an elliptic equation that combines linearand nonlinear fast diffusion with a logistic type reaction ... |
Artículo
An optimal control problem for a Kirchhoff-type equation
(EDP Sciences, 2017)
In this paper we study a control problem for a Kirchhoff-type equation. The method to obtain first order necessary optimality ... |
Artículo
Some eigenvalue problems with non-local boundary conditions and applications
(American Institute of Mathematical Sciences, 2014)
In this paper we study an elliptic eigenvalue problem with non-local boundary condition. We prove the existence of the ... |
Artículo
Study of a nonlinear Kirchhoff equation with non-homogeneous material
(Elsevier, 2014)
In this paper we study a non-homogeneous elliptic Kirchhoff equation with nonlinear reaction term. We analyze the existence ... |
Artículo
Long-time behavior of an angiogenesis model with flux at the tumor boundary
(Springer, 2013)
This paper deals with a nonlinear system of partial differential equations modeling a simplified tumor-induced angiogenesis ... |
Artículo
A therapy inactibating the tumor angiogenic factors
(AIMS Press, 2012)
This paper is devoted to a nonlinear system of partial differential equations modeling the effect of an anti-angiogenic ... |
Artículo
Anti-angiogenic therapy based on the binding receptors
(American Institute of Mathematical Sciences, 2012)
This paper deals with a nonlinear system of partial differential equations modeling the effect of an anti-angiogenic therapy ... |
Artículo
On a parabolic-elliptic chemotactic model with coupled boundary conditions
(Elsevier, 2010)
This paper deals with a nonlinear system of parabolic-elliptic type with a logistic source term and coupled boundary ... |
Artículo
Asymptotic behaviour of global solutions to a model of cell invasion
(World Scientific, 2010)
In this paper we analyze a mathematical model focusing on key events of the cells invasion process. Global well-possedness ... |
Artículo
Global solutions and asymptotic behavior for a parabolic degenerate coupled system arising from biology
(Elsevier, 2010)
In this paper we will focus on a parabolic degenerate system with respect to unknown functions u and w on a bounded domain ... |
Artículo
An angiogenesis model with nonlinear chemotactic response and flux at the tumor boundary
(Elsevier, 2010)
In this paper we consider a parabolic problem as well as its stationary counterpart of a model arising in angiogenesis. ... |
Artículo
On some models describing cellular movement: The macroscopic scale
(Sociedad Española de Matemática Aplicada, 2009)
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. |
Artículo
Mathematical modelling of cancer invasion of tissue the role and effect of nonlocal interactions
(World Scientific, 2009)
In this paper we consider a mathematical model of cancer cell invasion of tissue (extracellular matrix). Two crucial ... |
Tesis Doctoral
Ecuaciones en derivadas parciales con condiciones de contorno no lineales aplicaciones a la dinámica de tumores
(2009)
Esta tesis presenta tres partes: En la primera haremos un estudio teórico general de las ecuaciones elípticas en derivadas ... |
Artículo
Nonnegative solutions to an elliptic problem with nonlinear absorption and a nonlinear incoming flux on the boundary
(Springer, 2008)
In this paper we perform an extensive study of the existence, uniqueness (or multiplicity) and stability of nonnegative ... |
Artículo
Local existence and uniqueness of regular solutions in a model of tissue invasion by solid tumours
(Elsevier, 2008)
In this paper we consider a nonlinear system of differential equations arising in tumour invasion which has been proposed ... |
Ponencia
Convergencia al equilibrio en un modelo simplificado de angiogénesis
(2007)
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. |
Artículo
Quasilinear non-uniformly parabolic-elliptic system modelling chemotaxis with volume filling effect. Existence and uniqueness of global-in-time solutions
(Juliusz Schauder Center for Nonlinear Studies, 2007)
A system of quasilinear non-uniformly parabolic-elliptic equations modelling chemotaxis and taking into account the volume ... |
Artículo
Uniqueness of solution for elliptic problems with non-linear boundary conditions
(International Publications, 2006)
In this paper we present results of uniqueness for an elliptic problem with nonlinear boundary conditions. |
Capítulo de Libro
Some elliptic problems with nonlinear boundary conditions
(World Scientific, 2005)
This paper concerns with some elliptic equations with non-linear boundary conditions. Sub-supersolution and bifurcation methods are used in order to obtain existence, uniqueness or multiplicity of positive solutions. |