### Is the skin an excitable medium? Pattern formation in erythema gyratum repens.

Gilmore, Stephen, Landman, Kerry A. (2005)

Journal of Theoretical Medicine

Similarity:

Skip to main content (access key 's'),
Skip to navigation (access key 'n'),
Accessibility information (access key '0')

Gilmore, Stephen, Landman, Kerry A. (2005)

Journal of Theoretical Medicine

Similarity:

D. J. Headon, K. J. Painter (2009)

Mathematical Modelling of Natural Phenomena

Similarity:

During vertebrate development cells acquire different fates depending largely on their location in the embryo. The definition of a cell's developmental fate relies on extensive intercellular communication that produces positional information and ultimately generates an appropriately proportioned anatomy. Here we place reaction-diffusion mechanisms in the context of general concepts regarding the generation of positional information during development and then focus on these mechanisms...

M. A. Budroni, M. Rustici, E. Tiezzi (2010)

Mathematical Modelling of Natural Phenomena

Similarity:

We investigate the origin of deterministic chaos in the Belousov–Zhabotinsky (BZ) reaction carried out in closed and unstirred reactors (CURs). In detail, we develop a model on the idea that hydrodynamic instabilities play a driving role in the transition to chaotic dynamics. A set of partial differential equations were derived by coupling the two variable Oregonator–diffusion system to the Navier–Stokes equations. This approach allows us to shed light on the correlation between chemical...

Angela Slavova, Ronald Tetzlaff (2017)

Open Mathematics

Similarity:

In this paper, we study the dynamics of a reaction-diffusion Cellular Nonlinear Network (RD-CNN) nodel in which the reaction term is represented by Brusselator cell. We investigate the RD-CNN dynamics by means of describing function method. Comparison with classical results for Brusselator equation is provided. Then we introduce a new RD-CNN model with memristor coupling, for which the edge of chaos regime in the parameter space is determined. Numerical simulations are presented for...

Tomán, Henrietta, Tornai, Róbert, Zichar, Marianna (2007)

Annales Mathematicae et Informaticae

Similarity:

Lobanov, A.I., Starozhilova, T.K., Chernyaev, A.P. (2001)

Discrete Dynamics in Nature and Society

Similarity:

Diewald, U., Preusser, T., Rumpf, M., Strzodka, R. (2001)

Acta Mathematica Universitatis Comenianae. New Series

Similarity:

Rybář, Vojtěch, Vejchodský, Tomáš

Similarity:

We study systems of two nonlinear reaction-diffusion partial differential equations undergoing diffusion driven instability. Such systems may have spatially inhomogeneous stationary solutions called Turing patterns. These solutions are typically non-unique and it is not clear how many of them exists. Since there are no analytical results available, we look for the number of distinct stationary solutions numerically. As a typical example, we investigate the reaction-diffusion system designed...

Hrabě, Jan

Similarity:

An improved version of the Integrative Optical Imaging (IOI) method for diffusion measurements in a geometrically complex environment of the brain extracellular space has been developed. We present a theory for this Fast Optical Tracking Of Diffusion (FOTOD) which incorporates a time-dependent effective diffusion coefficient in homogeneous anisotropic media with time-dependent nonspecific linear clearance. FOTOD can be used to measure rapid changes in extracellular diffusion permeability...