Results 11 to 20 of about 908 (126)
Modelling adhesion-independent cell migration [PDF]
, 2020 A two-dimensional mathematical model for cells migrating without adhesion capabilities is presented and analyzed. Cells are represented by their cortex, which is modelled as an elastic curve, subject to an internal pressure force.
Jankowiak, Gaspard +4 more
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Computational and Mathematical Biophysics, 2020 We wondered that if a reaction-diffusion model considering only the mean daily movement of susceptible, exposed and asymptomatic individuals was enough to describe the spread of the COVID-19 virus.
Mammeri Youcef
doaj +1 more source
Nonlinear optimization for a tumor invasion PDE model [PDF]
, 2016 In this work, we introduce a methodology to approximate unknown parameters that appear on a non-linear reaction–diffusion model of tumor invasion. These equations consider that tumor-induced alteration of micro-environmental pH furnishes a mechanism for ...
Fernández Ferreyra, Damián Roberto +3 more
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Global stability for the prion equation with general incidence [PDF]
, 2015 We consider the so-called prion equation with the general incidence term introduced in [Greer et al., 2007], and we investigate the stability of the steady states. The method is based on the reduction technique introduced in [Gabriel, 2012]. The argument
Gabriel, Pierre
core +4 more sources
Advances in Nonlinear Analysis, 2020 The Keller-Segel-Stokes ...
Wang Yulan +2 more
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From Nash to Cournot-Nash equilibria via the Monge-Kantorovich problem [PDF]
, 2014 The notion of Nash equilibria plays a key role in the analysis of strategic interactions in the framework of $N$ player games. Analysis of Nash equilibria is however a complex issue when the number of players is large.
Blanchet, Adrien, Carlier, Guillaume
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Boundary layer analysis for a 2-D Keller-Segel model
Open Mathematics, 2020 We study the boundary layer problem of a Keller-Segel model in a domain of two space dimensions with vanishing chemical diffusion coefficient. By using the method of matched asymptotic expansions of singular perturbation theory, we construct an accurate ...
Meng Linlin, Xu Wen-Qing, Wang Shu
doaj +1 more source
Well-posedness and asymptotic behavior of a multidimensional model of morphogen transport [PDF]
, 2011 Morphogen transport is a biological process, occurring in the tissue of living organisms, which is a determining step in cell differentiation. We present rigorous analysis of a simple model of this process, which is a system coupling parabolic PDE with ...
A. Kicheva +9 more
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Incorporating chemical signalling factors into cell-based models of growing epithelial tissues [PDF]
, 2011 In this paper we present a comprehensive computational framework within which the effects of chemical signalling factors on growing epithelial tissues can be studied. The method incorporates a vertex-based cell model, in conjunction with a solver for the
Baker, R. E. +3 more
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Cyclic asymptotic behaviour of a population reproducing by fission into two equal parts [PDF]
, 2018 We study the asymptotic behaviour of the following linear growth-fragmentation equation$$\dfrac{\partial}{\partial t} u(t,x) + \dfrac{\partial}{\partial x} \big(x u(t,x)\big) + B(x) u(t,x) =4 B(2x)u(t,2x),$$ and prove that under fairly general ...
Bernard, Etienne +2 more
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