منابع مشابه
Mesenchymal Motion Models in One Dimension
Mesenchymal motion denotes a form of cell movement through tissue which can be observed for certain cancer metastases. In [T. Hillen, J. Math. Biol., 53 (2006), pp. 585–616], a mathematical model for this form of movement was introduced. In the current paper we present a comprehensive analysis of the one-dimensional mesenchymal motion model. We establish the global existence of classical soluti...
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Advection-dispersion equation is solved in numerically by using combinations of differential quadrature method (DQM) and various time integration techniques covering some explicit or implicit single and multi step methods. Two different initial boundary value problems modeling conservative and nonconservative transports of some substance represented by initial data are chosen as test problems. ...
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Under many conditions below the Nyquist limit, a drifting grating briefly displayed on a CRT is consistently perceived as moving in the opposite direction. Taking into account the sample-and-hold operation of CRT’s, we have derived the temporal-frequency spectra of the displayed gratings and found that they have a broad range of components moving in either direction. We have measured the percei...
متن کاملMesoscopic and Macroscopic Models for Mesenchymal Motion
In this paper mesoscopic (individual based) and macroscopic (population based) models for mesenchymal motion of cells in fibre networks are developed. Mesenchymal motion is a form of cellular movement that occurs in three-dimensions through tissues formed from fibre networks, for example the invasion of tumor metastases through collagen networks. The movement of cells is guided by the direction...
متن کاملExponents appearing in heterogeneous reaction-diffusion models in one dimension.
We study the following 1D two-species reaction diffusion model : there is a small concentration of B-particles with diffusion constant DB in an homogenous background of W-particles with diffusion constant DW ; two Wparticles of the majority species either coagulate (W + W −→ W ) or annihilate (W +W −→ ∅) with the respective probabilities pc = (q − 2)/(q − 1) and pa = 1/(q − 1); a B-particle and...
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Mathematics
سال: 2008
ISSN: 0036-1399,1095-712X
DOI: 10.1137/080714178