Mathematical modeling of pattern formation caused by drying of colloidal film under a mask

2016 ◽  
Vol 39 (2) ◽  
Author(s):  
Yuri Yu. Tarasevich ◽  
Irina V. Vodolazskaya ◽  
Lyudmila V. Sakharova
Keyword(s):  
Mathematical Modeling ◽  
Pattern Formation ◽  
Colloidal Film

Mathematical modeling and mechanisms of pattern formation in ecological systems: a review

2021 ◽  
Author(s):  
Gui-Quan Sun ◽  
Hong-Tao Zhang ◽  
Jin-Shan Wang ◽  
Jing Li ◽  
Yi Wang ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Pattern Formation ◽  
Ecological Systems

INTEGRATING MECHANICAL CONTROL THEORY INTO MODELS OF BIOLOGICAL DEVELOPMENT — ANALYTICAL REVIEW

2011 ◽  
Vol 11 (04) ◽  
pp. 713-734 ◽  
Author(s):  
VALKO PETROV ◽  
CHRISTOF AEGERTER
Keyword(s):  
Mathematical Modeling ◽  
Pattern Formation ◽  
Organization Theory ◽  
Cell Polarization ◽  
Self Organization ◽  
Drosophila Wing ◽  
Somite Formation ◽  
Developmental Biomechanics ◽  
Analytical Review ◽  
Biological Development

This paper presents both a general review on developmental biomechanics and a concrete proposition for the computation of a symmetry breaking instability of a model of biological development in terms of self-organization theory. The necessary biological and physical facts taken from the literature are described and discussed in the context of a unified statement of the problems for mathematical modeling of pattern formation. This is then applied to planar cell polarization (PCP) of the Drosophila wing. In this way, the process is modeled by an elastopolarization equation. In terms of this statement, the mechanical specificity (interaction with basal plate) of wing PCP is characterized. Some aspects of modeling somite formation as well as other developmental processes are also concerned.

Spatial pattern formation in the flower of Arabidopsis thaliana: Mathematical modeling

2005 ◽  
Vol 401 (1-6) ◽  
pp. 133-135 ◽  
Author(s):  
D. V. Alexeev ◽  
T. A. Ezhova ◽  
V. N. Kozlov ◽  
V. B. Kudryavtsev ◽  
M. V. Nosov ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Arabidopsis Thaliana ◽  
Pattern Formation ◽  
Spatial Pattern ◽  
Spatial Pattern Formation
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