The method in quantifying Poincare plot was proposed. Although they may be proven to have strong correlation with linear measurement, they still exhibited prognostic value for some disease. SD1 is the standard deviation of the distances between each dispersed point and the this line X2 which slope=1. SD2 is the standard deviation of the distance between each dispersed point and the line perpendicular to X2. SD1/SD2 can see approximately as the shape of the plot.
Between Genomics and Diagnostics Something is Missing… Biomedical Informatics: Methods, Techniques and Theories Bioinformatics Imaging Informatics Clinical Informatics Public Health Informatics Molecular and Cellular Processes Tissues and Organs Populations And Society Individuals (Patients) ?
A More Complete Picture Biomedical Informatics: Methods, Techniques and Theories Bioinformatics Imaging Informatics Clinical Informatics Public Health Informatics Molecular and Cellular Processes Tissues and Organs Diagnostic and Functional Dynamics Populations And Society Individuals (Patients) Complex Signals Informatics
Which is the Healthy Subject? Escape statistical distinction based on conventional comparisons
Variability vs. Complexity Ary L Golberberg, “complex system”, ProC Am Thorac soc
“ B eyond ANOVA” (ANalysis Of VAriance between groups) Three Key Concepts ( The purpose of complex signal informatics ):
Physiologic signals are the most complex in nature
Important basic/clinical information is “hidden” (encoded) in these fluctuations
3. Complexity degrades with pathology/aging
The often “noisy” variability actually is the signal and represents the nonlinear signaling mechanisms
*** Danger *** Linear Fallacy : Widely-held assumption that biological systems can be largely understood by dissecting out micro-components or modules and analyzing them in isolation. “ Rube Goldberg physiology” Pencil Sharpener
Good news: the complex behavior can arise in general mechanisms with simple rules
Fractals as a Design Principle in Nature Fractal : Complex tree-like object or hierarchical process, composed of sub-units (and sub-sub-units, etc) that resemble the larger scale design. This internal look-alike property is known as self-similarity or scale-invariance.
Fractal Self-Organization: Coronary Artery Tree
Fractals and Information Transmission: Purkinje Cells in Cerebellum
Are there Fractal (Scale-Free) Processes in Biology? Fractal : A tree-like object or process , composed of sub-units (and sub-sub-units, etc) that resemble the larger scale structure Self-similarity (scale invariance), therefore, may be a property of dynamics as well as structure Fractal dynamics has memory effect (long range correlation: adjust to fit any scales)
Healthy function requires capability( non-integer fractal dimension) to cope
with unpredictable environments
Scale-free (fractal) systems generate broad range of long-range correlated responses “memory effect”
disorder Fractal mechanism
Fractal Complexity Degrades with Disease Nature 1999; 399:461 Phys Rev Lett 2002; 89 : 068102 Healthy dynamics poised between too much order and total randomness. But randomness is not chaos! Single Scale Periodicity Uncorrelated Randomness Two Patterns of Pathologic Breakdown Healthy Dynamics: Multiscale Fractal Variability