Paper Info
Title
On Graphical and Numerical Characterization of Proteomics Maps.
Abstract
We outlined a mathematical approach suitable for characterization of experimental data given by 2-D densitograms. In particular we consider numerical characterization of proteomics maps. The basis of our approach is to order "spots" of a 2-D map and assign them unique labels (that in general will depend on the criteria used for ordering). In this way a map is "translated" into a sequence. In the next step one associates with the generated sequence a geometrical path and views such a path as a mathematical object that needs characterization. We have ordered spots representing proteins in 2-D gel plates according to their relative intensities which results in a zigzag path that produces a complicated "fingerprint" pattern. Mathematical characterization of zigzag pattern follows similar mathematical characterizations of embedded patterns based on matrices, the elements of which are given as quotients of Euclidean distance between spots and the distance along the zigzag path. The leading eigenvalue of constructed matrices is taken to represent characterization of the original 2-D map. Comparison of different 2-D maps (simulated by using random generator) allows one to construct partial order, which although qualitative in nature gives some insight into perturbation induced by foreign agents to the proteome of the control cell.
Year
DOI
Venue
2001
10.1021/ci000167b
JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES
Field
DocType
Volume
Combinatorics,Mathematical object,Matrix (mathematics),Euclidean distance,Quotient,Fingerprint,Zigzag,Eigenvalues and eigenvectors,Mathematics
Journal
41
Issue
ISSN
Citations 
5
0095-2338
5
PageRank 
References 
Authors
0.94
5
1
Name
Order
Citations
PageRank
Milan Randic1635203.52