1 AUTONOMIC 2 ACCLIMATION NERVOUS SYSTEM ADAPTATION TO PROGRESSIVE HEAT 3 4 Andreas D. Flouris,1 Martin Poirier,2 Andrea Bravi,3 Heather E. Wright,2 Geoffrey Green,3 5 Andrew J. Seely,3 Glen P. Kenny2 6 7 1 8 2 9 School of Human Kinetics, University of Ottawa, Ottawa, Canada, K1N 6N5. FAME Laboratory, Centre for Research and Technology Hellas, Trikala, Greece, 42100. Human and Environmental Physiology Research Unit, Faculty of Health Sciences, 10 3 11 Campus, Ottawa Health Research Institute, Ontario, Canada, K1H 8L6. Divisions of Thoracic Surgery and Critical Care Medicine, Ottawa Hospital-General 1 12 MATERIALS AND METHODS 13 Heart Rate Variability 14 R-R interval data were extracted from 175Hz ECG waveforms throughout all heat 15 tolerance tests using a 5-lead Holter DigiTrak XT (Philips, Andover, USA) and those 16 deemed to be normal-to-normal (NN) were retained for further analysis. Using the NN 17 interval time series of each subject (total of three NN interval series), HRV analyses 18 were performed employing the Continuous Individualized Variability Analysis – CIMVATM 19 software (http://ohridal.org/cimva/CIMVA-Core-Description.pdf) to extract a total of 102 20 measures of variability computed from the statistical, geometric, informational, energetic, 21 and invariant domains. The list of all 102 variability measures computed is provided in 22 Supplementary Table 1. We used a 5-min window analysis with 30 seconds time step to 23 effectively assess the transients between the different phases of the protocol. 2 24 LIST OF TABLES Supplementary Table 1. The list of all 102 variability measures computed. Variability # Variability measure domain 1 Mean Statistical 2 Mean rate Statistical 3 Standard deviation Statistical 4 Coefficient of variation Statistical 5 Poincaré plot SD1 Geometric 6 Poincaré plot SD2 Geometric 7 Root mean square of successive differences Statistical 8 Sample entropy Informational 9 LF/HF ratio computed with Lomb-Scargle periodogram Energetic 10 LF power computed with Lomb-Scargle periodogram Energetic 11 HF power computed with Lomb-Scargle periodogram Energetic 12 Wavelet area under the curve Energetic 13 Detrended fluctuation analysis: a1 Invariant 14 Detrended fluctuation analysis: a2 Invariant 15 Largest Lyapunov exponent Invariant 16 Correlation dimension global exponent Invariant 17 Skewness Statistical 18 Kurtosis Statistical 19 Power Law Slope computed with Welch's method Invariant 20 Power Law Y-Intercept computed with Welch's method Invariant 21 Power Law X-Intercept computed with Welch's method Invariant 22 Power Law Goodness of Fit computed with Welch's method Invariant 23 Power Law Slope computed with Lomb-Scargle periodogram Invariant 24 Power Law Y-Intercept computed with Lomb-Scargle periodogram Invariant 25 Power Law X-Intercept computed with Lomb-Scargle periodogram Invariant Power Law Goodness of Fit computed with Lomb-Scargle 26 Invariant periodogram 27 Power Law Slope computed with histogram Invariant 28 Power Law Y-Intercept computed with histogram Invariant 29 Power Law X-Intercept computed with histogram Invariant 30 Power Law Goodness of Fit computed with histogram Invariant 31 Detrended fluctuation analysis area under the curve Invariant 32 Multiscale Entropy Informational 33 LF/HF ratio computed with Welch's method Energetic 34 VLF power computed with Welch's method Energetic 35 LF power computed with Welch's method Energetic 36 HF power computed with Welch's method Energetic 37 VLF power computed with Lomb-Scargle periodogram Energetic 38 Hjorth parameter: activity Energetic 39 Hjorth parameter: mobility Energetic 25 26 27 3 Supplementary Table 1 cont. The list of all 102 variability measures computed. Variability # Variability measure domain 40. Hjorth parameter: complexity Energetic 41. Embedding scaling exponent Invariant 42. Recurrence quantification analysis: percentage of recurrences Geometric 43. Recurrence quantification analysis: percentage of determinism Geometric 44. Recurrence quantification analysis: maximum diagonal line Geometric 45. Recurrence quantification analysis: average diagonal line Geometric Recurrence quantification analysis: Shannon entropy of the 46. Geometric diagonals 47. Recurrence quantification analysis: determinism/recurrences Geometric 48. Recurrence quantification analysis: percentage of laminarity Geometric 49. Recurrence quantification analysis: maximum vertical line Geometric 50. Recurrence quantification analysis: trapping time Geometric Recurrence quantification analysis: Shannon entropy of the 51. Geometric vertical lines 52. Shannon entropy Geometric 53. Plotkin and Swamy energy operator average energy Energetic 54. Teager energy operator average energy Energetic Symbolic dynamics: percentage of 0 variations sequences, 55. Statistical uniform case Symbolic dynamics: percentage of 1 variations sequences, 56. Statistical uniform case Symbolic dynamics: percentage of 2 variations sequences, 57. Statistical uniform case Symbolic dynamics: percentage of 0 variations sequences, non58. Statistical uniform case Symbolic dynamics: percentage of 1 variations sequences, non59. Statistical uniform case Symbolic dynamics: percentage of 2 variations sequences, non60. Statistical uniform case 61. Symbolic dynamics: forbidden words, uniform case Statistical 62. Symbolic dynamics: forbidden words, non-uniform case Statistical 63. Symbolic dynamics: Shannon entropy, uniform case Informational 64. Symbolic dynamics: Shannon entropy, non-uniform case Informational 65. Symbolic dynamics: modified conditional entropy, uniform case Informational Symbolic dynamics: modified conditional entropy, non-uniform 66. Informational case 67. Form factor Statistical 68. Fuzzy entropy Informational 69. Grid transformation feature: grid count Geometric 70. Grid transformation feature: AND similarity index Informational 71. Grid transformation feature: time delay similarity index Informational 72. Grid transformation feature: weighted similarity index Informational 28 29 4 30 Supplementary Table 1 cont. The list of all 102 variability measures computed. Variability # Variability measure domain 73. Correlation dimension local exponent Invariant 74. Rescaled detrended range analysis Invariant 75. Higuchi scaling exponent Invariant 76. Allan factor distance from a Poisson distribution Informational 77. Fano factor distance from a Poisson distribution Informational 78. Index of variability distance from a Poisson distribution Informational 79. Finite growth rate Invariant 80. Scaled windowed variance Invariant 81. Kullback-Leibler permutation entropy Informational 82. Multiscale time irreversibility asymmetry index Energetic 83. Lee parameter Statistical 84. Poincaré plot cardiac sympathetic index Geometric 85. Poincaré plot cardiac vagal index Geometric 86. Mean of the differences Statistical 87. Standard deviation of the differences Statistical 88. Interquartile range Statistical 89. Predictive feature: error from an Autoregressive model Informational 90. Similarity index of the distributions Informational 91. Multifractal spectrum cumulant of the first order Invariant 92. Multifractal spectrum cumulant of the second order Invariant 93. Multifractal spectrum cumulant of the third order Invariant 94. Kolmogorov-Sinai entropy Invariant 95. Scale dependent Lyapunov exponent slope Invariant 96. Scale dependent Lyapunov exponent mean value Invariant 97. Dynamical moment of the second order Geometric 98. Dynamical moment of the third order along the principal bisector Geometric 99. Dynamical moment of the third order along the secondary bisector Geometric 100. Dynamical moment of the third order along the x axes Geometric 101. Dynamical moment of the third order along the y axes Geometric 102. Diffusion entropy Informational 31 32 5