Results 51 to 60 of about 5,278,448 (205)

The reaction–cross‐diffusion models for tissue growth

open access: yesMathematical Methods in the Applied Sciences, 2021
The application of mathematics to fields such as biology, medicine, and biotechnology has resulted in quantitative relations, and mathematical biology, an interdisciplinary branch, has emerged. The considered models of cell/tissue growth are determined by cross‐reaction‐diffusion equations with possible transitions between malignant cells with ...
openaire   +2 more sources

Wally and the Major [picture] : cross purposes /

open access: yes, 1958
Part of the Stan Cross Archive of cartoons and drawings, 1912-1974.; Inscription: "Stan Cross 8/47"--Lower right. "5496 Mon Mar 10 Cross Purposes"--In ink, right margin; "5419"--In ink, upper right corner; "11"--In pencil, upper left corner.; Also ...
Cross, Stan, 1888-1977.
core  

Investigating effects from restricted diffusion in multi-component diffusion data [PDF]

open access: yes, 2014
We have investigated model systems in which effects from non-Gaussian restricted diffusion could be separated from effects caused by multiple diffusion coefficients. We applied various models to analyze the experimental data.
Pavlin, Tina, Seland, John Georg
core   +1 more source

Turing instability and pattern induced by cross-diffusion in a predator-prey system

open access: yes上海师范大学学报. 自然科学版, 2018
The phenomenon of pattern formation for predator-prey model with cross-diffusion is considered. We prove that cross-diffusion can destabilize the positive equilibrium which is stable for the self-diffusion reaction system.
Wang Qiufang, Peng Yahong
doaj   +1 more source

Wally and the Major [picture] : cross purposes /

open access: yes, 1970
Part of the Stan Cross Archive of cartoons and drawings, 1912-1974.; Inscription: "Stan Cross 70/24"--In ink, lower right. "9205 Wed Jan 28. Cross Purposes"--In ink, right margin; "9205"--In pencil, upper right corner.; Also available in an electronic ...
Cross, Stan, 1888-1977.
core  

Opinion formation on evolving network: the DPA method applied to a nonlocal cross-diffusion PDE-ODE system

open access: yesEuropean Journal of Applied Mathematics
We study a system of nonlocal aggregation cross-diffusion PDEs that describe the evolution of opinion densities on a network. The PDEs are coupled with a system of ODEs that describe the time evolution of the agents on the network.
Simone Fagioli, Gianluca Favre
doaj   +1 more source

Global and blow up solutions to cross diffusion systems

open access: yesAdvances in Nonlinear Analysis, 2015
Necessary and sufficient conditions for global existence of classical solutions to a class of cross diffusion systems on n-dimensional domains are given. Examples of blow up solutions are also presented.
Ahmad Shair, Le Dung
doaj   +1 more source

Wally and the Major [picture] : cross purposes /

open access: yes, 1968
Part of the Stan Cross Archive of cartoons and drawings, 1912-1974.; Inscription: "Stan Cross 8/195"--In ink, lower right. "8757 Fri Aug 16 Cross Purposes"--In ink, right margin; "8757"--In pencil, upper right corner; "6"--In pencil, upper left corner ...
Cross, Stan, 1888-1977.
core  

Using Diffusion-Diffusion Exchange Spectroscopy to observe diffusion exchange in yeast [PDF]

open access: yes, 2019
The permeability of cell membranes varies significantly across both healthy and diseased tissue, and changes in cell membrane permeability can occur during treatment response in tumours.
Roberts, Thomas   +7 more
core   +1 more source

Effect of Diffusion and Cross-Diffusion in a Predator-Prey Model with a Transmissible Disease in the Predator Species

open access: yesAbstract and Applied Analysis, 2014
We study a Lotka-Volterra type predator-prey model with a transmissible disease in the predator population. We concentrate on the effect of diffusion and cross-diffusion on the emergence of stationary patterns.
Guohong Zhang, Xiaoli Wang
doaj   +1 more source

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