Add to ORKGIn this paper, we consider two mathematical cell motility models for the nematode sperm cell, describing the one-dimensional and two-dimensional cases. These particular models give rise to free boundary problems where the boundaries within which the partial differential equations are satisfied are not given and must be determined together when solving the partial differential equations. Analytical properties of these models are used to simplify the problems, and solutions are calculated using MATLAB
Cell migration occurs in many fundamental biological processes and it is an highly complex phenomeno...
In this paper we present an individual-based mechanical model that describes the dynamics of two con...
We study an incompressible Darcy's free boundary problem, recently introduced in [22]. Our goal is t...
We first study a one-dimensional motility model for nematode sperm cells. Next we extend our study t...
The movement of Ascaris suum sperm cells is caused by protrusive, adhesive and contractile forces th...
In this paper, a free boundary problem for cell protrusion formation is studied theoretically and nu...
[[abstract]]This paper is concerned with the existence of stationary solutions for a free boundary p...
We develop a one-dimensional physical model of the crawling movement of simple cells: The sperm of a...
AbstractThis paper deals with a mathematical model describing the cell cycle dynamics and chemotacti...
In this work we analyse a one-dimensional, cell-based model of an epithelial sheet. In the model, ce...
International audienceMorphogenetic theories investigate the creation and the emergence of form in l...
In 2003, Mogilner and Verzi proposed a one- dimensional model on the crawling movement of a nematode...
Eukaryotic cell motility involves complex interactions of signalling molecules, cytoskeleton, cell m...
We consider a 2D free boundary model of cell motility, inspired by the 1D contraction-driven cell mo...
Abstract. The motion of a eukaryotic cell presents a variety of interesting and challenging problems...
Cell migration occurs in many fundamental biological processes and it is an highly complex phenomeno...
In this paper we present an individual-based mechanical model that describes the dynamics of two con...
We study an incompressible Darcy's free boundary problem, recently introduced in [22]. Our goal is t...
We first study a one-dimensional motility model for nematode sperm cells. Next we extend our study t...
The movement of Ascaris suum sperm cells is caused by protrusive, adhesive and contractile forces th...
In this paper, a free boundary problem for cell protrusion formation is studied theoretically and nu...
[[abstract]]This paper is concerned with the existence of stationary solutions for a free boundary p...
We develop a one-dimensional physical model of the crawling movement of simple cells: The sperm of a...
AbstractThis paper deals with a mathematical model describing the cell cycle dynamics and chemotacti...
In this work we analyse a one-dimensional, cell-based model of an epithelial sheet. In the model, ce...
International audienceMorphogenetic theories investigate the creation and the emergence of form in l...
In 2003, Mogilner and Verzi proposed a one- dimensional model on the crawling movement of a nematode...
Eukaryotic cell motility involves complex interactions of signalling molecules, cytoskeleton, cell m...
We consider a 2D free boundary model of cell motility, inspired by the 1D contraction-driven cell mo...
Abstract. The motion of a eukaryotic cell presents a variety of interesting and challenging problems...
Cell migration occurs in many fundamental biological processes and it is an highly complex phenomeno...
In this paper we present an individual-based mechanical model that describes the dynamics of two con...
We study an incompressible Darcy's free boundary problem, recently introduced in [22]. Our goal is t...