Zobrazeno 1 - 10
of 160
pro vyhledávání: '"Brian D. Sleeman"'
Publikováno v:
International Journal of Advances in Engineering Sciences and Applied Mathematics. 1:43-52
It is well known that avascular tumours only grow to a limited size before metabolic demands are impeded due to the diffusion limit of oxygen and other nutrients. For continued growth the tumour switches to an angiogenic phenotype that induces sprout
Publikováno v:
Physics in Medicine and Biology. 52:7007-7022
Models of the electrical properties of biological tissue have been the subject of many studies. These models have sought to explain aspects of the dielectric dispersion of tissue. This paper develops a mathematical model of the complex permittivity o
Autor:
Tomas Johansson, Brian D. Sleeman
Publikováno v:
IMA Journal of Applied Mathematics. 72:96-112
The problem considered is that of determining the shape of a plane acoustically sound-soft obstacle from the knowledge of the far-field pattern for one time-harmonic incident field. An iterative procedure is proposed based on two boundary integrals r
Autor:
Nicola Bellomo, Brian D. Sleeman
Publikováno v:
Computational and Mathematical Methods in Medicine, Vol 7, Iss 2-3, Pp 67-70 (2006)
Autor:
Evgeny Sklyanin, Brian D. Sleeman
Publikováno v:
Jack, Hall-Littlewood and Macdonald Polynomials. :357-360
Publikováno v:
Journal of Differential Equations. 212(2):432-451
In this paper, we study the local existence and uniqueness of classical solutions to a wide class of systems of chemotaxis equations. These systems are essentially quasi-linear strongly coupled partial differential equations. We also study the maxima
Publikováno v:
SIAM Journal on Applied Mathematics. 66:489-509
The problem of scattering of ultrasound by particles in the long wavelength limit has a well-established solution in terms of Rayleigh expansions of the scattered fields. However, this solution is ill-conditioned numerically, and recent work has atte
Publikováno v:
SIAM Journal on Applied Mathematics. 65:790-817
In the limit of small chemoattractant diffusivity $\epsilon$, the existence, stability, and dynamics of spiky patterns in a chemotaxis model are studied in a bounded multidimensional domain. In this model, the transition probability density function
Autor:
Brian D. Sleeman, J.H. Merkin
Publikováno v:
Journal of Mathematical Biology. 51:1-17
Pattern organisation of cells and tissue are specified during embryonic development by gradients of morphogens, substances that assign different fates of cells at different concentrations. Morphogen gradients form by transport from a localized site.