Fractal physiology for physicists: Lévy statistics

Physics Reports

Volumn 246, Issue 1-2, 1994, Pages 1-100

  West, Bruce J ^a   Deering, William ^a  

^a UNIVERSITY OF NORTH TEXAS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2942574810     PISSN: 03701573     EISSN: None     Source Type: Journal    
DOI: 10.1016/0370-1573(94)00055-7     Document Type: Review

References (185)

1. Diffusion of walkers with persistent velocities
2. Lightning and the heart: fractal behavior in cardiac function
3. Derivation of the Kohlrousch-William/Watts Decay law from activation-energy dispersion
4. A standard fluctuation-dissipation process from a deterministic mapping
5. Brownian motion generated by a two-dimensional mapping
6. Anomalous diffusion in disordered media: statistical mechanics, models and physical applications
7. Long-range fractal correlations in DNA.
8. Long range power-law correlation in DNA
9. Über unendliche,lineare Punktmannigfaltigkeiten V.
10. Physical mechanism underlying neurite outgrowth: a quantitative analysis of neuronal shape
11. α power spectral density of the cardiac QRS complex is not associated with a fractal Purkinje system
12. Molecular transport in liquids and glasses
13. Optimal systems: I. The vascular system
14. Optimal systems: II. The vascular system
15. Respiratory movement and rapid eye movements in the fetal lamb
16. Protein dynamics and 1/f noise
17. Are protein dynamics fractal?
18. Characterizing Irregularity
19. A model of the heart's conduction system using a self-similar (fractal) structure
20. Fractal patterns formation in human retinal vessels
21. Random walk models for the spike activity of a single neuron
22. Expected number of distinct sites visited by a random walk with an infinite variance
23. There is a theory of the heart
24. Self-similarity of protein surfaces
25. α power spectrum of the QRS complex revisited
26. On a mechanism of cardiac electrical stability: the fractal hypothesis
27. Nonlinear dynamics of heart failure: implications of long-wavelength cardiopulmonary oscillations
28. Atropine unmasks bed-rest deconditioning effect in healthy men: a spectral analysis of cardiac interbeat intervals
29. Chaos and Fractals in human physiology
30. Fractals in physiology and medicine
31. Applications of nonlinear dynamics to clinical cardiology
32. Nonlinear mechanisms in physiology and pathophysiology: toward a dynamical theory of health and disease
33. Fractals, chaos, and fetal heart rate
34. Statistical theory of extreme values
35. The fractal geometry of convoluted brains
36. Random walks with self-similar clusters
37. Fractal and lacunary stochastic processes
38. Percolation, statistical topology, and transport in random media
39. Statistical Field Theory
40. Chaos game representation of gene structure
41. Aging and the complexity of cardiovascular dynamics
42. Dynamics of heart rate
43. Short-term variability of fetal heart rate during pregnancies with normal and insuficient placental function
44. SCALING BEHAVIOR OF THE DENDRITIC BRANCHES OF THALAMIC NEURONS
45. FRACTAL DESCRIPTION OF ANOMALOUS DIFFUSION IN DYNAMICAL SYSTEMS
46. FRACTAL MODEL OF BLOOD VESSEL SYSTEM
47. Telenomical optimization of a fractal model of the pulmonary arterial bed
48. Is there a relationship between fractal complexity and functional efficiency in the pulmonary arterial bed?
49. α power spectra of the QRS complex does not imply fractal activation of the ventricles
50. Ion channel kinetics: a model based on fractal scaling rather than multistate Markov processes
51. Ion channel kinetics
52. Scaling properties of diffusion-limited reactions on fractal and Euclidean geometries
53. The first, the biggest, and other such considerations
54. Fractal shot noise
55. The fractal properties of retinal vessels: embryological and clinical implications
56. Fractal Geometry: What is it, and What Does it do? [and Discussion]
57. Theory of synapse distribution on dendrites in neural networks
58. Characterization of bifurcating structures of blood vessels using fractal dimensions
59. A wonderful world of random walks
60. Maximum entropy formalism, fractals, scaling phenomena and 1/ƒ noise: a tale of tails
61. On an enriched collection of stochastic processes
62. On an enriched collection of stochastic processes
63. A RELATIONSHIP BETWEEN CIRCUMFERENCE AND WEIGHT IN TREES AND ITS BEARING ON BRANCHING ANGLES
64. Power spectral analysis of heart rate variability in sudden cardiac death: comparison to other methods
65. The fractal lung: universal and species related scaling properties
66. Pulse propagation on fractal networks: Parts I and II
67. Modeling of lung morphogenesis using fractal geometries
68. Analysis of heart rate variations in patients with multiple sclerosis. A simple measure of autonomic disturbances using an ordinary ECG
69. First hitting time models for the generalized inverse Gaussian distribution
70. The realization of the generalized transfer equation in a medium with fractal geometry
71. Fractal scaling mechanics in biomembranes
72. Self-organization and fractal scaling patterns in biological systems
73. Microbial growth patterns described by fractal geometry
74. Long-range correlations in nucleotide sequences
75. Long-range anticorrelation and non-Gaussian behavior of the heart
76. Translational diffusion in phospholipid monolayers measured by fluorescence microphotolysis
77. A regularity statistic for medical data analysis
78. Diffusion processes and related topics in biology
79. Mathematical analysis of random noise
80. Flow resistance in human air passages and the effect of irregular branching of the bronchial system on the respiratory process in various regions of the lungs
81. Stable distributions: Fox functions representations and generalizations
82. A simple quantitative assay for bacterial motility
83. Fractal dimensionality of Levy processes
84. A quantitative analysis of plant form: the pipe model. I Basic analysis
85. II further evidence of the model and applications to forest ecology
86. Weierstrassian Levy flights and self-avoiding random walks
87. Complex fractal dimension of the bronchial tree
88. Lévy dynamics of enhanced diffusion: Application to turbulence
89. Strange kinetics
90. The correlation dimension of heartbeat intervals is reduced in conscious pigs by myocardial ischemia
91. A fractal analysis of cell images
92. Fractal forms of proteins
93. Role of diffusion boundary layer in contact inhibition of growth
94. Estimation of intravascular blood pressure by mathematical analysis of arterial casts
95. Fractal properties of fetal breathing dynamics
96. Crossover from inverse power law to stretched exponential for critical branched chain processes with memory
97. Evolution of long-range fractal correlations and 1/ƒ noise in DNA base sequences
98. Voss replies
99. Resting heartrate variability in man declines with age
100. Fractal geometry: a design principle for living organisms
101. Architecture of the human lung
102. Random walks: theory and selected applications
103. Fractals, intermittency and morphogenesis
104. FRACTAL FORMS IN PHYSIOLOGY
105. Fractal Physiology and Chaos in Medicine
106. Physiology in fractal dimensions: error tolerance
107. An Essay on the Importance of Being Nonlineat
108. Linear systems with Lévy fluctuations
109. Beyond the principle of similitude: renormalization in the bronchial tree
110. ON THE UBIQUITY OF 1/f NOISE
111. Physiology in fractal dimensions
112. Problems in Physics with many Scales of Length
113. Design of the bronchial tree
114. Skew distributions in biomedicine including some with negative power of time
115. Spike distributions for neurons and random walks with drift to a fluctuating threshold
116. Diffusion limited aggregation, a kinetic critical phenomenon
117. The fractional diffusion equation
118. A method for estimation of fractal dimension of tree crowns