Detecting Spatial Clustering Using a Firm-Level Cluster Index

2014 ◽  
Vol 50 (6) ◽  
pp. 1054-1068 ◽  
Author(s):  
Tobias Scholl ◽  
Thomas Brenner
Author(s):  
Badrinath Roysam ◽  
Hakan Ancin ◽  
Douglas E. Becker ◽  
Robert W. Mackin ◽  
Matthew M. Chestnut ◽  
...  

This paper summarizes recent advances made by this group in the automated three-dimensional (3-D) image analysis of cytological specimens that are much thicker than the depth of field, and much wider than the field of view of the microscope. The imaging of thick samples is motivated by the need to sample large volumes of tissue rapidly, make more accurate measurements than possible with 2-D sampling, and also to perform analysis in a manner that preserves the relative locations and 3-D structures of the cells. The motivation to study specimens much wider than the field of view arises when measurements and insights at the tissue, rather than the cell level are needed.The term “analysis” indicates a activities ranging from cell counting, neuron tracing, cell morphometry, measurement of tracers, through characterization of large populations of cells with regard to higher-level tissue organization by detecting patterns such as 3-D spatial clustering, the presence of subpopulations, and their relationships to each other. Of even more interest are changes in these parameters as a function of development, and as a reaction to external stimuli. There is a widespread need to measure structural changes in tissue caused by toxins, physiologic states, biochemicals, aging, development, and electrochemical or physical stimuli. These agents could affect the number of cells per unit volume of tissue, cell volume and shape, and cause structural changes in individual cells, inter-connections, or subtle changes in higher-level tissue architecture. It is important to process large intact volumes of tissue to achieve adequate sampling and sensitivity to subtle changes. It is desirable to perform such studies rapidly, with utmost automation, and at minimal cost. Automated 3-D image analysis methods offer unique advantages and opportunities, without making simplifying assumptions of tissue uniformity, unlike random sampling methods such as stereology.12 Although stereological methods are known to be statistically unbiased, they may not be statistically efficient. Another disadvantage of sampling methods is the lack of full visual confirmation - an attractive feature of image analysis based methods.


2013 ◽  
pp. 108-120 ◽  
Author(s):  
L. Grebnev

The paper provides a justification of the laws of supply and demand using the concept of a marginal firm (technology) for the case of perfect competition.The ideological factor of excessive attention to the analysis of marginal parameters at the firm level in the introductory economics courses is discussed. The author connects these issues to the ideas of J. B. Clark and gives an alternative treatment of exploitation.


CFA Digest ◽  
2002 ◽  
Vol 32 (1) ◽  
pp. 38-40
Author(s):  
Keith H. Black
Keyword(s):  

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