Quantification of Heat Map Data Displays for High-Throughput Analysis

Heat maps have been used as a means to visualize high-density information in settings as diverse as astronomy, business analysis, and meteorology. Discovery biology research teams have also used heat maps to visualize gene clusters in genomics investigations or to study amino acid distribution in protein sequence analysis. Commercially available software packages, like Spotfire® or SAS JMP® afford scientific investigators the ability to construct heat maps and visualize information from studies, yet do not offer any form of summary statistic that would be useful in high-throughput investigations comparing the results of a large number of data visualizations simultaneously or viewing changes in the display longitudinally (over time). Previously, Juneau suggested the usage of Plotnick’s characterization of lacunarity (1996) for two-dimensional heat map data displays in two colors or shades. For c (c>2) discrete shades (in a monochromatic map) or hues (in a full color display), the author will suggest a modification to Plotnick’s approach using the underlying gliding box approach developed by Allain and Cloitre , but with an alteration in the means of counting features.

[1]  E. Furlong,et al.  Combinatorial binding predicts spatio-temporal cis-regulatory activity , 2009, Nature.

[2]  Benoit B. Mandelbrot,et al.  A Fractal’s Lacunarity, and how it can be Tuned and Measured , 1994 .

[3]  Wei Wu,et al.  Genomic data visualization on the Web , 2004, Bioinform..

[4]  P. Corkum,et al.  Laser Tunnel Ionization from Multiple Orbitals in HCl , 2009, Science.

[5]  Mw Hirsch,et al.  Chaos In Dynamical Systems , 2016 .

[6]  Bai-lian Li,et al.  Using spatial analysis to monitor tree diversity at a large scale: a case study in Northeast China Transect , 2008 .

[7]  Richard S Paules,et al.  Heat map visualization of high-density clinical chemistry data. , 2007, Physiological genomics.

[8]  M. Halpern,et al.  Three-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: temperature analysis , 2006 .

[9]  Sonal Patel,et al.  A single-molecule method for the quantitation of microRNA gene expression , 2005, Nature Methods.

[10]  Shankar Subramaniam,et al.  An editor for pathway drawing and data visualization in the Biopathways Workbench , 2009, BMC Systems Biology.

[11]  R. O'Neill,et al.  Lacunarity indices as measures of landscape texture , 1993, Landscape Ecology.

[12]  Melissa Key A tutorial in displaying mass spectrometry-based proteomic data using heat maps , 2012, BMC Bioinformatics.

[13]  Kenneth Falconer,et al.  Fractal Geometry: Mathematical Foundations and Applications , 1990 .

[14]  David I. Berry,et al.  Deriving a sea surface temperature record suitable for climate change research from the along-track scanning radiometers , 2008 .

[15]  C. Allain,et al.  Characterizing the lacunarity of random and deterministic fractal sets. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[16]  Przemyslaw Borys,et al.  On the Relation Between Lacunarity and Fractal Dimension , 2009 .

[17]  N. Lam,et al.  Urban Textural Analysis from Remote Sensor Data: Lacunarity Measurements Based on the Differential Box Counting Method , 2006 .

[18]  Sari C. Saunders,et al.  Identifying scales of pattern in ecological data: a comparison of lacunarity, spectral and wavelet analyses , 2005 .

[19]  A. Bijaoui,et al.  Temperature map computation for X-ray clusters of galaxies , 2004 .

[20]  A. Mele,et al.  Ago HITS-CLIP decodes miRNA-mRNA interaction maps , 2009, Nature.

[21]  P. Mortensen,et al.  Temporal profiling of the adipocyte proteome during differentiation using a five-plex SILAC based strategy. , 2009, Journal of proteome research.

[22]  Mads Nielsen,et al.  Fractal dimension and lacunarity analysis of mammographic patterns in assessing breast cancer risk related to HRT treated population: a longitudinal and cross-sectional study , 2009, Medical Imaging.

[23]  U. Briel,et al.  An X-ray Temperature Map of Abell 1795, a Galaxy Cluster in Hydrostatic Equilibrium , 1996 .

[24]  F. Yaşar,et al.  Fractal dimension and lacunarity analysis of dental radiographs. , 2005, Dento maxillo facial radiology.

[25]  Tamar Geiger,et al.  Genome-wide identification and quantification of protein synthesis in cultured cells and whole tissues by puromycin-associated nascent chain proteomics (PUNCH-P) , 2014, Nature Protocols.

[26]  Joshua M. Stuart,et al.  A Gene Expression Map for Caenorhabditis elegans , 2001, Science.

[27]  J. Weinstein A Postgenomic Visual Icon , 2008, Science.

[28]  Metin N. Gurcan,et al.  Pten in Stromal Fibroblasts Suppresses Mammary Epithelial Tumors , 2009, Nature.

[29]  Mark Bailey,et al.  The Grammar of Graphics , 2007, Technometrics.

[30]  Sampsa Hautaniemi,et al.  Fast Gene Ontology based clustering for microarray experiments , 2008, BioData Mining.

[31]  Daniel L. Mace,et al.  A High-Resolution Root Spatiotemporal Map Reveals Dominant Expression Patterns , 2007, Science.

[32]  Rakesh Nagarajan,et al.  High throughput digital quantification of mRNA abundance in primary human acute myeloid leukemia samples. , 2009, The Journal of clinical investigation.

[33]  A. Morrow,et al.  Quantitative Analysis of the Human Milk Whey Proteome Reveals Developing Milk and Mammary-Gland Functions across the First Year of Lactation , 2013, Proteomes.

[34]  D. Geschwind,et al.  Longitudinal system-based analysis of transcriptional responses to type I interferons. , 2009, Physiological genomics.

[35]  G. Henebry,et al.  Lacunarity analysis of spatial pattern in CT images of vertebral trabecular bone for assessing osteoporosis. , 2002, Medical engineering & physics.

[36]  Chad R. Weisbrod,et al.  Quantitative Proteomic and Interaction Network Analysis of Cisplatin Resistance in HeLa Cells , 2011, PloS one.

[37]  Leland Wilkinson,et al.  The History of the Cluster Heat Map , 2009 .

[38]  G. von Heijne,et al.  Tissue-based map of the human proteome , 2015, Science.