Add to ORKGAbstract. In this paper we deal with a semilinear hyperbolic chemotaxis model in one space dimension evolving on a network, with suitable transmission conditions at nodes. This framework is motivated by tissue-engineering scaffolds used for improving wound healing. We introduce a numerical scheme, which guarantees global mass densities conservation. Moreover our scheme is able to yield a correct approximation of the effects of the source term at equilibrium. Several numerical tests are presented to show the behavior of solutions and to discuss the stability and the accuracy of our approximation. 1
Many problems arising in biology display a complex system dynamics at different scales of space and ...
We consider the development of hyperbolic transport models for the propagation in space of an epidem...
For this paper, we are interested in network formation of endothelial cells. Randomly distributed en...
In this paper we deal with a semilinear hyperbolic chemotaxis model in one space dimension evolving ...
25 pagesInternational audienceIn this paper we deal with a semilinear hyperbolic chemotaxis model in...
We consider the Keller–Segel model of chemotaxis on one-dimensional networks. Using a variational ch...
In this thesis essentially two types of partial differential equations and their applications to net...
we study a hyperbolic and parabolic model of pde arising from a biological problem and defined on ne...
Damage in soft biological tissues causes an inflammatory reaction that initiates a chain of events t...
Abstract. We introduce a numerical scheme to approximate a quasi-linear hyperbolic system which mode...
Chemotaxis is a biological phenomenon widely studied these last years, at the biological level but a...
The Phd thesis is devoted to the numerical and mathematical analysis of systems of partial different...
We study a hyperbolic–parabolic model of chemotaxis related to tumor angiogenesis in dimensions one ...
Negli ultimi decenni l’analisi matematica si è rivelata uno strumento efficace per descrivere fenom...
Many problems arising in biology display a complex system dynamics at different scales of space and ...
We consider the development of hyperbolic transport models for the propagation in space of an epidem...
For this paper, we are interested in network formation of endothelial cells. Randomly distributed en...
In this paper we deal with a semilinear hyperbolic chemotaxis model in one space dimension evolving ...
25 pagesInternational audienceIn this paper we deal with a semilinear hyperbolic chemotaxis model in...
We consider the Keller–Segel model of chemotaxis on one-dimensional networks. Using a variational ch...
In this thesis essentially two types of partial differential equations and their applications to net...
we study a hyperbolic and parabolic model of pde arising from a biological problem and defined on ne...
Damage in soft biological tissues causes an inflammatory reaction that initiates a chain of events t...
Abstract. We introduce a numerical scheme to approximate a quasi-linear hyperbolic system which mode...
Chemotaxis is a biological phenomenon widely studied these last years, at the biological level but a...
The Phd thesis is devoted to the numerical and mathematical analysis of systems of partial different...
We study a hyperbolic–parabolic model of chemotaxis related to tumor angiogenesis in dimensions one ...
Negli ultimi decenni l’analisi matematica si è rivelata uno strumento efficace per descrivere fenom...
Many problems arising in biology display a complex system dynamics at different scales of space and ...
We consider the development of hyperbolic transport models for the propagation in space of an epidem...
For this paper, we are interested in network formation of endothelial cells. Randomly distributed en...