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
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LOCAL-IN-TIME SOLVABILITY OF TARGET DETECTION MODEL IN MOLECULAR COMMUNICATION NETWORK
International Journal of Apllied Mathematics, 2018 This paper is concerned with a model of the target detection that is actively discussed in the study of molecular communication network these days. We first verify the solvability of the stationary problem, and then the existence of a strong local-in ...
H. Honda
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On the variations of the principal eigenvalue with respect to a parameter in growth-fragmentation models [PDF]
, 2017 We study the variations of the principal eigenvalue associated to a growth-fragmentation-death equation with respect to a parameter acting on growth and fragmentation. To this aim, we use the probabilistic individual-based interpretation of the model. We
Campillo, Fabien +2 more
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Biomedical Journal of Scientific & Technical Research, 2019 A central problem in biological dynamical systems is to determine the boundaries of evolution. Although this is a general problem, we prefer to give solutions for growth of the phytoplankton. AMS Mathematical Classiftcation: 92D40, 35B36, 35Q92, 37N25.
C. Udrişte +5 more
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Vanishing viscosities and error estimate for a Cahn-Hilliard type phase field system related to tumor growth [PDF]
, 2015 In this paper we perform an asymptotic analysis for two different vanishing viscosity coefficients occurring in a phase field system of Cahn-Hilliard type that was recently introduced in order to approximate a tumor growth model. In particular, we extend
Colli, Pierluigi +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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Existence of solutions for the Keller-Segel model of chemotaxis with measures as initial data
, 2015 A simple proof of the existence of solutions for the two-dimensional Keller-Segel model with measures with all the atoms less than $8\pi$ as the initial data is given.
Biler, Piotr, Zienkiewicz, Jacek
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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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Inverse problem for a physiologically structured population model with variable-effort harvesting
Open Mathematics, 2017 We consider the inverse problem of determining how the physiological structure of a harvested population evolves in time, and of finding the time-dependent effort to be expended in harvesting, so that the weighted integral of the density, which may be ...
Andrusyak Ruslan V.
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