Fractals for physicians

Paediatric Respiratory Reviews

Volumn 11, Issue 2, 2010, Pages 123-

  Thamrin, Cindy ^a   Stern, Georgette ^a   Frey, Urs ^a  

^a UNIVERSITY OF BERN   (Switzerland)

Author keywords

Complexity; Detrended fluctuation analysis; Nonlinearity; Power laws

Indexed keywords

ANALYTICAL ERROR; ASTHMA; CHEYNE STOKES BREATHING; FRACTAL ANALYSIS; HUMAN; LUNG BLOOD FLOW; PEAK EXPIRATORY FLOW; PEDIATRICS; PHYSICIAN ATTITUDE; PREDICTION; PRIORITY JOURNAL; QUANTITATIVE ANALYSIS; REVIEW; RISK ASSESSMENT; SENESCENCE; SLEEP APNEA SYNDROME; RESPIRATORY FUNCTION;

FRACTALS; HUMANS; PEDIATRICS; RESPIRATORY PHYSIOLOGICAL PHENOMENA;

EID: 77952242569     PISSN: 15260542     EISSN: 15260550     Source Type: Journal    
DOI: 10.1016/j.prrv.2010.02.001     Document Type: Review

References (71)

1. Goldberger A.L. Non-linear dynamics for clinicians: chaos theory, fractals, and complexity at the bedside. Lancet. 1996, 347:1312-1314.
2. Seely A.J.E., Macklem P.T. Complex systems and the technology of variability analysis. Critical Care. 2004, 8:R367-R384.
3. Glenny R.W., Robertson H.T., Yamashiro S., Bassingthwaighte J.B. Applications of fractal analysis to physiology. J Appl Physiol. 1991, 70:2351-2367.
4. Pearce N., Merletti F. Complexity, simplicity, and epidemiology. Int J Epidemiol. 2006, 35:515-519.
5. Rickles D., Hawe P., Shiell A. A simple guide to chaos and complexity. J Epidemiol Community Health. 2007, 61:933-937.
6. Mandelbrot B.B. The Fractal Geometry of Nature 1977, W.H. Freeman, New York.
7. Eke A., Herman P., Kocsis L., Kozak L.R. Fractal characterization of complexity in temporal physiological signals. Physiol Meas. 2002, 23:R1-38.
8. Fadel P.J., Barman S.M., Phillips S.W., Gebber G.L. Fractal fluctuations in human respiration. J Appl Physiol. 2004, 97:2056-2064.
9. Peng C.K., Havlin S., Stanley H.E., Goldberger A.L. Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series. Chaos. 1995, 5:82-87.
10. Thamrin C., Stern G. New methods what do they tell us: fluctuation analysis of lung function. Eur Respir Mon. 2010, 47:310-324.
11. Szeto H.H., Cheng P.Y., Decena J.A., Cheng Y., Wu D.L., Dwyer G. Fractal properties in fetal breathing dynamics. Am J Physiol. 1992, 263(1 Pt 2):R141-R147.
12. Frey U., Silverman M., Barabasi A.L., Suki B. Irregularities and power law distributions in the breathing pattern in preterm and term infants. J Appl Physiol. 1998, 85:789-797.
13. Que C.L., Kenyon C.M., Olivenstein R., Macklem P.T., Maksym G.N. Homeokinesis and short-term variability of human airway caliber. J Appl Physiol. 2001, 91:1131-1141.
14. White E.P., Enquist B.J., Green J.L. On estimating the exponent of power-law frequency distributions. Ecology. 2008, 89:905-912.
15. Belair J., Glass L., An Der Heiden U., Milton J. Dynamical disease: Identification, temporal aspects and treatment strategies of human illness. Chaos. 1995, 5:1-7.
16. Reznik G.K. Comparative anatomy, physiology, and function of the upper respiratory tract. Environ Health Perspect. 1990, 85:171-176.
17. Konopka A. Systems biology: principles, methods, and concepts 2007, CRC Press, Boca Ranton, FL.
18. Majumdar S., Prasad R.R. The fractal dimension of cerebral surfaces using magnetic resonance images. Comput Phys. 1998, 2:69-73.
19. West G.B., Brown J.H., Enquist B.J. The fourth dimension of life: fractal geometry and allometric scaling of organisms. Science. 1999, 284:1677-1679.
20. Weibel E.R., Gomez D.M. Architecture of the human lung. Use of quantitative methods establishes fundamental relations between size and number of lung structures. Science. 1962, 137:577-585.
21. Kitaoka H., Takaki R., Suki B. A three-dimensional model of the human airway tree. Journal of Applied Physiology. 1999, 87:2207-2217.
22. Rigaut J.P. An empirical formulation relating boundary lengths to resolution in specimens showing " non-ideally fractal" dimensions. J Microsc. 1984, 133:41-54.
23. Robertson H.T., Altemeier W.A., Glenny R.W. Physiological implications of the fractal distribution of ventilation and perfusion in the lung. Ann Biomed Eng. 2000, 28:1028-1031.
24. Suki B., Barabasi A.L., Hantos Z., Petak F., Stanley H.E. Avalanches and power-law behaviour in lung inflation. Nature. 1994, 368:615-618.
25. Venegas J.G., Winkler T., Musch G., Vidal Melo M.F., Layfield D., Tgavalekos N., et al. Self-organized patchiness in asthma as a prelude to catastrophic shifts. Nature. 2005, 434:777-782.
26. Larsen P.D., Elder D.E., Tzeng Y.C., Campbell A.J., Galletly D.C. Fractal characteristics of breath to breath timing in sleeping infants. Respir Physiol Neurobiol. 2004, 139:263-270.
27. Govindan R.B., Wilson J.D., Murphy P., Russel W.A., Lowery C.L. Scaling analysis of paces of fetal breathing, gross-body and extremity movements. Physica A. 2007, 386:231-239.
28. Cernelc M., Suki B., Reinmann B., Hall G.L., Frey U. Correlation properties of tidal volume and end-tidal O2 and CO2 concentrations in healthy infants. J Appl Physiol. 2002, 92:1817-1827.
29. Baldwin D.N., Suki B., Pillow J.J., Roiha H.L., Minocchieri S., Frey U. Effect of sighs on breathing memory and dynamics in healthy infants. J Appl Physiol. 2004, 97:1830-1839.
30. Busha B.F., Hage E., Hofmann C. Gender and breathing route modulate cardio-respiratory variability in humans. Respir Physiol Neurobiol. 2009, 166:87-94.
31. Rostig S., Kantelhardt J.W., Penzel T., Cassel W., Peter J.H., Vogelmeier C., et al. Nonrandom variability of respiration during sleep in healthy humans. Sleep. 2005, 28:411-417.
32. Brogan T.V., Mellema J.D., Martin L.D., Krueger M., Redding G.J., Glenny R.W. Spatial and temporal heterogeneity of regional pulmonary blood flow in piglets. Pediatr Res. 2007, 62:434-439.
33. Frey U., Brodbeck T., Majumdar A., Taylor D.R., Town G.I., Silverman M., et al. Risk of severe asthma episodes predicted from fluctuation analysis of airway function. Nature. 2005, 438:667-670.
34. Prigogine I., Stengers I. Order out of chaos: man's new dialogue with nature 1984, Bantam Books, New York.
35. Lipsitz L.A., Goldberger A.L. Loss of 'complexity' and aging. Potential applications of fractals and chaos theory to senescence. JAMA. 1992, 267:1806-1809.
36. Iyengar N., Peng C.K., Morin R., Goldberger A.L., Lipsitz L.A. Age-related alterations in the fractal scaling of cardiac interbeat interval dynamics. Am J Physiol Regul Integr Comp Physiol. 1996, 271:R1078-R1084.
37. Schmitt D.T., Ivanov P.C. Fractal scale-invariant and nonlinear properties of cardiac dynamics remain stable with advanced age: a new mechanistic picture of cardiac control in healthy elderly. Am J Physiol Regul Integr Comp Physiol. 2007, 293:R1923-R1937.
38. Peng C.K., Mietus J.E., Liu Y., Lee C., Hausdorff J.M., Stanley H.E., et al. Quantifying fractal dynamics of human respiration: age and gender effects. Ann Biomed Eng. 2002, 30:683-692.
39. Vaillancourt D.E., Newell K.M. Changing complexity in human behavior and physiology through aging and disease. Neurobiol Aging. 2002, 23:1-11.
40. Goldberger A.L., Peng C.K., Lipsitz L.A. What is physiologic complexity and how does it change with aging and disease?. Neurobiology Of Aging. 2002, 23:23-26.
41. Wales J.K., Gibson A.T. Short-term growth: rhythms, chaos, or noise?. Arch Dis Child. 1994, 71:84-89.
42. Hislop A.A., Haworth S.G. Airway size and structure in the normal fetal and infant lung and the effect of premature delivery and artificial-ventilation. Am Rev Respir Dis. [Article]. 1989, 140:1717-1726.
43. Horsfield K., Gordon W.I., Kemp W., Phillips S. Growth of the bronchial tree in man. Thorax. 1987, 42:383-388.
44. Frey U., Hislop A., Silverman M. Branching properties of the pulmonary arterial tree during pre- and postnatal development. Respir Physiol Neurobiol. 2004, 139:179-189.
45. Canals M., Olivares R., Labra F., Novoa F.F. Ontogenetic changes in the fractal geometry of the bronchial tree in Rattus norvegicus. Biol Res. 2000, 33:31-35.
46. Prakash K.N., Ramakrishnan A.G., Suresh S., Chow T.W. Fetal lung maturity analysis using ultrasound image features. IEEE Trans Inf Technol Biomed. 2002, 6:38-45.
47. Thamrin C., Frey U. Complexity and respiratory growth: a developing story. J Appl Physiol. 2009, 106:753-754.
48. Mackey M.C., Glass L. Oscillation and chaos in physiological control systems. Science. 1977, 197:287-289.
49. Goldberger A.L., Amaral L.A.N., Hausdorff J.M., Ivanov P.C., Peng C.K., Stanley H.E. Fractal dynamics in physiology: Alterations with disease and aging. Proc Natl Acad Sci U S A. 2002, 99:2466-2472.
50. Shan Z.Y., Liu J.Z., Glass J.O., Gajjar A., Li C.S., Reddick W.E. Quantitative morphologic evaluation of white matter in survivors of childhood medulloblastoma. Magn Reson Imaging. 2006, 24:1015-1022.
51. Sandu A.L., Specht K., Beneventi H., Lundervold A., Hugdahl K. Sex-differences in grey-white matter structure in normal-reading and dyslexic adolescents. Neurosci Lett. 2008, 438:80-84.
52. Hausdorff J.M., Mitchell S.L., Firtion R., Peng C.K., Cudkowicz M.E., Wei J.Y., et al. Altered fractal dynamics of gait: reduced stride-interval correlations with aging and Huntington's disease. J Appl Physiol. 1997, 82:262-269.
53. Hausdorff J.M. Gait dynamics in Parkinson's disease: common and distinct behavior among stride length, gait variability, and fractal-like scaling. Chaos. 2009, 19:026113.
54. Ramon C., Holmes M.D., Freeman W.J., McElroy R., Rezvanian E. Comparative analysis of temporal dynamics of EEG and phase synchronization of EEG to localize epileptic sites from high density scalp EEG interictal recordings. Conf Proc IEEE Eng Med Biol Soc. 2008, 4548-4550.
55. Penzel T., Kantelhardt J.W., Grote L., Peter J.H., Bunde A. Comparison of detrended fluctuation analysis and spectral analysis for heart rate variability in sleep and sleep apnea. IEEE Trans Biomed Eng. 2003, 50:1143-1151.
56. Diba C., Salome C.M., Reddel H.K., Thorpe C.W., Toelle B., King G.G. Short-term variability of airway caliber-a marker of asthma?. J Appl Physiol. 2007, 103:296-304.
57. Macklem P.T. Can airway function be predicted?. Am J Respir Crit Care Med. 1996, 153(6 Pt 2):S19-20.
58. Macklem P.T. Emergent phenomena and the secrets of life. J Appl Physiol. 2008, 104:1844-1846.
59. Makikallio T.H., Koistinen J., Jordaens L., Tulppo M.P., Wood N., Golosarsky B., et al. Heart rate dynamics before spontaneous onset of ventricular fibrillation in patients with healed myocardial infarcts. Am J Cardiol. 1999, 83:880-884.
60. Mäkikallio T.H., Høiber S., Køber L., Torp-Pedersen C., Peng C.-K., Goldberger A.L., et al. Fractal analysis of heart rate dynamics as a predictor of mortality in patients with depressed left ventricular function after acute myocardial infarction. The American Journal of Cardiology. 1999, 83:836-839.
61. Yum M.K., Oh A.Y., Lee H.M., Kim C.S., Kim S.D., Lee Y.S., et al. Identification of patients with childhood moyamoya diseases showing temporary hypertension after anesthesia by preoperative multifractal Hurst analysis of heart rate variability. J Neurosurg Anesthesiol. 2006, 18:223-229.
62. Frey U., Suki B. Complexity of chronic asthma and chronic obstructive pulmonary disease: implications for risk assessment, and disease progression and control. Lancet. 2008, 372:1088-1099.
63. Thamrin C., Stern G., Strippoli M.P.F., Kuehni C.E., Suki B., Taylor D.R., et al. Fluctuation analysis of lung function as a predictor of long-term response to {beta}2-agonists. Eur Respir J. 2009, 33:486-493.
64. Taylor D.R., Bateman E.D., Boulet L.P., Boushey H.A., Busse W.W., Casale T.B., et al. A new perspective on concepts of asthma severity and control. Eur Respir J. 2008, 32:545-554.
65. West B.J. Physiology in fractal dimensions: error tolerance. Ann Biomed Eng. 1990, 18:135-149.
66. Suki B., Alencar A.M., Sujeer M.K., Lutchen K.R., Collins J.J., Andrade J.S., et al. Life-support system benefits from noise. Nature. 1998, 393:127-128.
67. Arold S.P., Mora R., Lutchen K.R., Ingenito E.P., Suki B. Variable Tidal Volume Ventilation Improves Lung Mechanics and Gas Exchange in a Rodent Model of Acute Lung Injury. Am J Respir Crit Care Med. 2002, 165:366-371.
68. Mutch W., Eschun G., Kowalski S., Graham M., Girling L., Lefevre G. Biologically variable ventilation prevents deterioration of gas exchange during prolonged anaesthesia. Br J Anaesth. 2000, 84:197-203.
69. Thammanomai A., Hueser L.E., Majumdar A., Bartolak-Suki E., Suki B. Design of a new variable-ventilation method optimized for lung recruitment in mice. J Appl Physiol. 2008, 104:1329-1340.
70. Bloch-Salisbury E., Indic P., Bednarek F., Paydarfar D. Stabilizing immature breathing patterns of preterm infants using stochastic mechanosensory stimulation. J Appl Physiol. 2009, 107:1017-1027.
71. Goldman L.J., Jarabo R.M., Gomez R.G. Airway pressure alters wavelet fractal dynamics and short-range dependence of respiratory variability. Respir Physiol Neurobiol. 2008, 161:29-40.