Variations of the cell growth problem

Author(s):  
Edgar M. Palmer
Keyword(s):  
1974 ◽  
Vol 15 (2) ◽  
pp. 131-147 ◽  
Author(s):  
L. W. Beineke ◽  
R. E. Pippert

In their paper “ The enumeration of tree-like polyhexes”, Harary and Read [6] consider structures obtained by assembling hexagons subject to certain restrictions. Their problem is introduced as a simplified hexagonal cell-growth problem.


1975 ◽  
Vol 11 (3) ◽  
pp. 371-389 ◽  
Author(s):  
Frank Harary ◽  
Edgar M. Palmer ◽  
Ronald C. Read
Keyword(s):  

1962 ◽  
Vol 14 ◽  
pp. 1-20 ◽  
Author(s):  
R. C. Read

The cell growth problem is a combinatorial problem which may be stated as follows: A plane animal is made up of cells, each of which is a square of unit area. It starts as a single cell, and grows by adding cells one at a time in such a way that the new cell has at least one side in contact with a side of a cell already present in the animal. The problem is to find the number of different animals of area n, it being understood that animals which can be transformed into each other by reflections or rotations of the plane will be regarded as the same animal.


2012 ◽  
Vol 12 (01) ◽  
pp. 1250133 ◽  
Author(s):  
HERMUND ANDRÉ TORKILDSEN

We use a geometric description of m-cluster categories of Dynkin type A to count the number of colored quivers in the m-mutation class of quivers of Dynkin type A. This is related to angulations of polygons and the cell-growth problem.


Author(s):  
V. F. Allison ◽  
G. C. Fink ◽  
G. W. Cearley

It is well known that epithelial hyperplasia (benign hypertrophy) is common in the aging prostate of dogs and man. In contrast, little evidence is available for abnormal epithelial cell growth in seminal vesicles of aging animals. Recently, enlarged seminal vesicles were reported in senescent mice, however, that enlargement resulted from increased storage of secretion in the lumen and occurred concomitant to epithelial hypoplasia in that species.The present study is concerned with electron microscopic observations of changes occurring in the pseudostratified epithelium of the seminal vescles of aging rats. Special attention is given to certain non-epithelial cells which have entered the epithelial layer.


Author(s):  
Dean A. Handley ◽  
Jack T. Alexander ◽  
Shu Chien

In situ preparation of cell cultures for ultrastructural investigations is a convenient method by which fixation, dehydration and embedment are carried out in the culture petri dish. The in situ method offers the advantage of preserving the native orientation of cell-cell interactions, junctional regions and overlapping configurations. In order to section after embedment, the petri dish is usually separated from the polymerized resin by either differential cryo-contraction or solvation in organic fluids. The remaining resin block must be re-embedded before sectioning. Although removal of the petri dish may not disrupt the native cellular geometry, it does sacrifice what is now recognized as an important characteristic of cell growth: cell-substratum molecular interactions. To preserve the topographic cell-substratum relationship, we developed a simple method of tapered rotary beveling to reduce the petri dish thickness to a dimension suitable for direct thin sectioning.


2006 ◽  
Vol 175 (4S) ◽  
pp. 135-135
Author(s):  
George N. Thalmann ◽  
H. Rhee Atlanta ◽  
R.A. Sikes ◽  
S. Pathak ◽  
Haiyen E. Zhau ◽  
...  

2006 ◽  
Vol 175 (4S) ◽  
pp. 257-257
Author(s):  
Jennifer Sung ◽  
Qinghua Xia ◽  
Wasim Chowdhury ◽  
Shabana Shabbeer ◽  
Michael Carducci ◽  
...  

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