Application of chaos theory to biology and medicine
The application of "chaos theory" to the physical and chemical sciences has resolved some long-standing problems, such as how to calculate a turbulent event in fluid dynamics or how to quantify the pathway of a molecule during Brownian motion. Biology and medicine also have unresolved prob...
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Published in | Integrative physiological and behavioral science Vol. 27; no. 1; p. 39 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
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United States
01.01.1992
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Abstract | The application of "chaos theory" to the physical and chemical sciences has resolved some long-standing problems, such as how to calculate a turbulent event in fluid dynamics or how to quantify the pathway of a molecule during Brownian motion. Biology and medicine also have unresolved problems, such as how to predict the occurrence of lethal arrhythmias or epileptic seizures. The quantification of a chaotic system, such as the nervous system, can occur by calculating the correlation dimension (D2) of a sample of the data that the system generates. For biological systems, the point correlation dimension (PD2) has an advantage in that it does not presume stationarity of the data, as the D2 algorithm must, and thus can track the transient non-stationarities that occur when the systems changes state. Such non-stationarities arise during normal functioning (e.g., during an event-related potential) or in pathology (e.g., in epilepsy or cardiac arrhythmogenesis). When stochastic analyses, such as the standard deviation or power spectrum, are performed on the same data they often have a reduced sensitivity and specificity compared to the dimensional measures. For example, a reduced standard deviation of heartbeat intervals can predict increased mortality in a group of cardiac subjects, each of which has a reduced standard deviation, but it cannot specify which individuals will or will not manifest lethal arrhythmogenesis; in contrast, the PD2 of the very same data can specify which patients will manifest sudden death. The explanation for the greater sensitivity and specificity of the dimensional measures is that they are deterministic, and thus are more accurate in quantifying the time-series. This accuracy appears to be significant in detecting pathology in biological systems, and thus the use of deterministic measures may lead to breakthroughs in the diagnosis and treatment of some medical disorders. |
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AbstractList | The application of "chaos theory" to the physical and chemical sciences has resolved some long-standing problems, such as how to calculate a turbulent event in fluid dynamics or how to quantify the pathway of a molecule during Brownian motion. Biology and medicine also have unresolved problems, such as how to predict the occurrence of lethal arrhythmias or epileptic seizures. The quantification of a chaotic system, such as the nervous system, can occur by calculating the correlation dimension (D2) of a sample of the data that the system generates. For biological systems, the point correlation dimension (PD2) has an advantage in that it does not presume stationarity of the data, as the D2 algorithm must, and thus can track the transient non-stationarities that occur when the systems changes state. Such non-stationarities arise during normal functioning (e.g., during an event-related potential) or in pathology (e.g., in epilepsy or cardiac arrhythmogenesis). When stochastic analyses, such as the standard deviation or power spectrum, are performed on the same data they often have a reduced sensitivity and specificity compared to the dimensional measures. For example, a reduced standard deviation of heartbeat intervals can predict increased mortality in a group of cardiac subjects, each of which has a reduced standard deviation, but it cannot specify which individuals will or will not manifest lethal arrhythmogenesis; in contrast, the PD2 of the very same data can specify which patients will manifest sudden death. The explanation for the greater sensitivity and specificity of the dimensional measures is that they are deterministic, and thus are more accurate in quantifying the time-series. This accuracy appears to be significant in detecting pathology in biological systems, and thus the use of deterministic measures may lead to breakthroughs in the diagnosis and treatment of some medical disorders. |
Author | Vybiral, T Skinner, J E Mitra, M Molnar, M |
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BackLink | https://www.ncbi.nlm.nih.gov/pubmed/1576087$$D View this record in MEDLINE/PubMed |
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References | 3055917 - Am J Cardiol. 1988 Nov 3;62(14):3I-6I 975123 - Cardiology. 1976;61(1):37-49 2153467 - Circ Res. 1990 Feb;66(2):259-70 3421170 - Am J Cardiol. 1988 Oct 1;62(10 Pt 1):714-7 2641481 - Brain Topogr. 1989 Fall-Winter;2(1-2):99-118 3197810 - Experientia. 1988 Dec 1;44(11-12):983-7 6588891 - Ann N Y Acad Sci. 1984;425:681-721 3300247 - Am J Cardiol. 1987 Jul 1;60(1):86-9 3812275 - Am J Cardiol. 1987 Feb 1;59(4):256-62 2407083 - Am J Cardiol. 1990 Feb 15;65(7):408-11 7313693 - Science. 1981 Dec 18;214(4527):1350-3 6866068 - N Engl J Med. 1983 Aug 11;309(6):331-6 10042811 - Phys Rev Lett. 1990 Dec 24;65(26):3211-3214 3168190 - Circulation. 1988 Oct;78(4):816-24 2922407 - Proc Natl Acad Sci U S A. 1989 Mar;86(5):1698-702 2476292 - Electroencephalogr Clin Neurophysiol. 1989 Sep-Oct;74(5):321-46 3687775 - Am J Cardiol. 1987 Dec 1;60(16):1239-45 3085091 - Proc Natl Acad Sci U S A. 1986 May;83(10):3513-7 1167816 - Circulation. 1975 Apr;51(4):656-67 2880497 - Am J Cardiol. 1987 Feb 1;59(4):278-83 2922061 - Nature. 1989 Mar 23;338(6213):334-7 2809012 - J Am Coll Cardiol. 1989 Nov 15;14(6):1511-8 7193421 - Am J Physiol. 1981 Feb;240(2):H156-63 7116603 - Circulation. 1982 Oct;66(4):874-80 2009617 - Circ Res. 1991 Apr;68(4):966-76 3404204 - J Neurophysiol. 1988 Jun;59(6):1770-82 1305623 - Int J Neurosci. 1992 Oct;66(3-4):263-76 3207791 - Biol Psychol. 1988 Jun;26(1-3):339-50 3006863 - Brain Res. 1985 Dec;357(3):147-75 2212380 - J Am Coll Cardiol. 1990 Oct;16(4):978-85 3817848 - IEEE Trans Biomed Eng. 1986 Dec;33(12):1149-56 3696239 - Nature. 1987 Dec 24-31;330(6150):749-52 1688786 - Electroencephalogr Clin Neurophysiol. 1990 Jan-Feb;77(1):6-18 3358954 - Biol Cybern. 1988;58(3):203-11 3341195 - Am J Cardiol. 1988 Feb 1;61(4):208-15 |
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