Dynamic scaling analysis of two-dimensional cell colony fronts in a gel medium: A biological system approaching a quenched Kardar-Parisi-Zhang universality

2014 ◽  
Vol 90 (2) ◽  
Author(s):  
M. A. C. Huergo ◽  
N. E. Muzzio ◽  
M. A. Pasquale ◽  
P. H. Pedro González ◽  
A. E. Bolzán ◽  
...  
Keyword(s):  
Biological System ◽  
Dynamic Scaling ◽  
Scaling Analysis ◽  
Two Dimensional ◽  
Dimensional Cell ◽  
Cell Colony

scholarly journals THE EFFECT OF THE THIRD DIMENSION ON ROUGH SURFACES FORMED BY SEDIMENTING PARTICLES IN QUASI-TWO-DIMENSIONS

2002 ◽  
Vol 16 (08) ◽  
pp. 1217-1223 ◽  
Author(s):  
K. V. MCCLOUD ◽  
M. L. KURNAZ
Keyword(s):  
Two Dimensions ◽  
Scaling Analysis ◽  
Silica Spheres ◽  
Two Dimensional ◽  
One Dimensional ◽  
The Third ◽  
Roughness Exponent ◽  
Third Dimension ◽  
Dimensional Cell ◽  
Roughness Exponents

The roughness exponent of surfaces obtained by dispersing silica spheres into a quasi-two-dimensional cell is examined. The cell consists of two glass plates separated by a gap, which is comparable in size to the diameter of the beads. Previous work has shown that the quasi-one-dimensional surfaces formed have two roughness exponents in two length scales, which have a crossover length about 1 cm. We have studied the effect of changing the gap between the plates to a limit of about twice the diameter of the beads. If the conventional scaling analysis is performed, the roughness exponent is found to be robust against changes in the gap between the plates; however, the possibility that scaling does not hold should be taken seriously.

A REVIEW OF TWO-DIMENSIONAL IN VITRO CELL STRETCH PLATFORMS

2017 ◽  
Vol 17 (08) ◽  
pp. 1730003
Author(s):  
H. GHAZIZADEH ◽  
S. ARAVAMUDHAN
Keyword(s):  
Mechanical Properties ◽  
Biological System ◽  
Cellular Response ◽  
Mechanical Forces ◽  
Two Dimensional ◽  
Cell Stretch ◽  
And Behavior ◽  
Dimensional Cell

The focus of this paper is to describe the mechanism and behavior of two-dimensional in vitro cell stretch platforms, as well as discussing designs for the evaluation of mechanical properties of cells. It is extremely important to understand the cellular response to extrinsic mechanical forces as living biological system is constantly subjected to mechanical forces in vivo. In addition, this mechanistic understanding of cellular response will provide valuable information towards the design and fabrication of bioengineered tissues and organs, which are expected to replace and/or aid bodily functions. This paper will primarily focus on the development, advantages and limitations of two-dimensional cell stretch platforms.

Two-dimensional cell tracking by FPGA-optical correlation method

2009 ◽  
Author(s):  
Iraís Solís ◽  
M. Torres-Cisneros ◽  
J. G. Aviña-Cervantes ◽  
O. G. Ibarra-Manzano ◽  
O. Debeir ◽  
...  
Keyword(s):  
Cell Tracking ◽  
Correlation Method ◽  
Two Dimensional ◽  
Optical Correlation ◽  
Dimensional Cell

Chord intercepts in a two-dimensional cell growth model

1992 ◽  
Vol 27 (4) ◽  
pp. 947-955 ◽  
Author(s):  
G. E. W. Schulze ◽  
W. A. Schulze
Keyword(s):  
Cell Growth ◽  
Growth Model ◽  
Two Dimensional ◽  
Cell Growth Model ◽  
Dimensional Cell

Two-dimensional versus three-dimensional cell counting

2002 ◽  
Vol 51 (10) ◽  
pp. 838-840 ◽  
Author(s):  
Lynn D Selemon ◽  
Grazyna Rajkowska
Keyword(s):  
Three Dimensional ◽  
Cell Counting ◽  
Two Dimensional ◽  
Dimensional Cell

Methods for Two-Dimensional Cell Confinement

2014 ◽  
pp. 213-229 ◽  
Author(s):  
Maël Le Berre ◽  
Ewa Zlotek-Zlotkiewicz ◽  
Daria Bonazzi ◽  
Franziska Lautenschlaeger ◽  
Matthieu Piel
Keyword(s):  
Two Dimensional ◽  
Dimensional Cell

UNIVERSAL PRANDTL NUMBER IN TWO-DIMENSIONAL KRAICHNAN-BATCHELOR TURBULENCE

2008 ◽  
Vol 22 (20) ◽  
pp. 3421-3431
Author(s):  
MALAY K. NANDY
Keyword(s):  
Prandtl Number ◽  
Mode Coupling ◽  
Perturbation Expansion ◽  
Dynamic Scaling ◽  
Two Dimensional ◽  
Turbulent Prandtl Number ◽  
Energy Regime ◽  
Self Consistent ◽  
Prandtl Numbers

We evaluate the universal turbulent Prandtl numbers in the energy and enstrophy régimes of the Kraichnan-Batchelor spectra of two-dimensional turbulence using a self-consistent mode-coupling formulation coming from a renormalized perturbation expansion coupled with dynamic scaling ideas. The turbulent Prandtl number is found to be exactly unity in the (logarithmic) enstrophy régime, where the theory is infrared marginal. In the energy régime, the theory being finite, we extract singularities coming from both ultraviolet and infrared ends by means of Laurent expansions about these poles. This yields the turbulent Prandtl number σ ≈ 0.9 in the energy régime.

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