Simulation of 3-Dimensional Cell Population Growth Processes in Polyhedral Cellular Systems

In order to simulate the polyhedral grain nucleation in alloys, 3-D cell population growth processes are studied in space-filling periodic cellular systems. We discussed two different methods by which space-filling polyhedral cellular systems can be constructed by topological transformations performed on “stable” 3-D cellular systems. It has been demonstrated that an infinite sequence of stable periodic space-filling polyhedral systems can be generated by means of a simple recursion procedure based on a vertex based tetrahedron insertion. On the basis of computed results it is conjectured that in a 3-D periodic, topologically stable cellular system the minimum value of the average face number 〈f〉 of polyhedral cells is larger than eight (i.e. 〈f〉 > 8). The outlined algorithms (which are based on cell decomposition and/or cell nucleation) provide a new perspective to simulate grain population growth processes in materials with polyhedral microstructure.

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Tumour cell population growth inhibition and cell death induction of functionalized 6-aminoquinolone derivatives

Cell Proliferation ◽

10.1111/cpr.12224 ◽

2015 ◽

Vol 48 (6) ◽

pp. 705-717 ◽

Cited By ~ 5

Author(s):

G. Franci ◽

G. Manfroni ◽

R. Cannalire ◽

T. Felicetti ◽

O. Tabarrini ◽

...

Keyword(s):

Cell Death ◽

Population Growth ◽

Growth Inhibition ◽

Cell Population ◽

Tumour Cell ◽

Cell Population Growth ◽

Tumour Cell Population

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Circadian rhythm and cell population growth

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2010.05.034 ◽

2011 ◽

Vol 53 (7-8) ◽

pp. 1558-1567 ◽

Cited By ~ 18

Author(s):

Jean Clairambault ◽

Stéphane Gaubert ◽

Thomas Lepoutre

Keyword(s):

Circadian Rhythm ◽

Population Growth ◽

Cell Population ◽

Cell Population Growth

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Mammary Carcinoma Cell Population Growth in Preirradiated and Unirradiated Transplant Sites

Radiology ◽

10.1148/117.2.459 ◽

1975 ◽

Vol 117 (2) ◽

pp. 459-465 ◽

Cited By ~ 27

Author(s):

Kelly H. Clifton ◽

Randy Jirtle

Keyword(s):

Population Growth ◽

Cell Population ◽

Mammary Carcinoma ◽

Carcinoma Cell ◽

Mammary Carcinoma Cell ◽

Cell Population Growth

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The influence of physical-chemical characteristics of surface modified copper nanoparticles on E. coli cell population growth suppression and on electrostatic properties of their membranes

BIOPHYSICS ◽

10.1134/s0006350913030202 ◽

2013 ◽

Vol 58 (3) ◽

pp. 394-401 ◽

Cited By ~ 1

Author(s):

L. A. Volodina ◽

A. N. Zhigach ◽

I. O. Leypunsky ◽

E. S. Zotova ◽

N. N. Glushchenko

Keyword(s):

Population Growth ◽

Cell Population ◽

Copper Nanoparticles ◽

Growth Suppression ◽

Coli Cell ◽

Chemical Characteristics ◽

E Coli ◽

Physical Chemical ◽

Cell Population Growth ◽

Surface Modified

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Finsler-type estimators for the cancer cell population dynamics

Publications de l Institut Mathematique ◽

10.2298/pim140602004b ◽

2015 ◽

Vol 98 (112) ◽

pp. 53-69

Author(s):

Vladimir Balan ◽

Jelena Stojanov

Keyword(s):

Dynamical System ◽

Population Growth ◽

Cancer Cell ◽

Cell Population ◽

Biological Models ◽

Cell Population Dynamics ◽

Finsler Structure ◽

Cell Population Growth ◽

Cancer Cell Population ◽

The Difference

We introduce a Finslerian model related to the classical Garner dynamical system, which models the cancer cell population growth. The Finsler structure is determined by the energy of the deformation field-the difference of the fields, which describe the reduced and the proper biological models. It is shown that a certain locally-Minkowski anisotropic Randers structure, obtained by means of statistical fitting, is able to provide a Zermelo-type drift of the overall cancer cell population growth, which occurs due to significant changes within the cancerous process. The geometric background, the applicative advantages and perspective openings of the constructed geometric structure are discussed.

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