njit-etd2003-081 - New Jersey Institute of Technology

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225 5.5 Cardiovascular System Models for COPD Subjects The next goal of this research was to use system identification techniques to develop a HRV model first for healthy normal subjects and then use this normal cardiovascular model as reference for the design of the diseased model that can represent the physical attributes of the COPD patients using an adaptive controller. An adaptive controller differs from an ordinary controller in that the controller parameters are variable, and there is a mechanism for adjusting these parameters online based on signals in the system. In this research the author used the so-called Model-Reference Adaptive Control (MRAC) model. A schematic of the MRAC system is represented in Figure 5.59.1. It is composed of four parts: a plant of the COPD cardiovascular system containing unknown parameters, a reference model of the cardiovascular system for compactly specifying the desired output (e.g. HR and ABP) of the control system, a feedback control law containing adjustable parameters, and an adaptation mechanism for updating the adjustable parameters [50]. Figure 5.59.1 An adaptive COPD cardiovascular system model.
226 The data for all 47 COPD subjects were also analyzed, tabulated and statistically summarized as shown in table 5.5: Table 5.5 Gain and Phase Data of COPD Subjects 3dB Gain 3dB Freq Hz -45 (Hz) -90 (Hz) -180 (Hz) Mean 213.42 0.0857 0.1633 0.6722 93.1328 Std Error 35.84 0.0215 0.0838 0.8285 5.3413 Median 195.11 0.0730 0.0918 0.2356 11.47 STD 181.42 0.0512 0.0633 0.8657 8.8880 Variance 6147.49 0.0048 0511 0.8792 20.4733 Comparing tables 5.4 and 5.5, the 3dB gains and 3dB frequencies of the normal and COPD subjects are similar. However, all three phase data points at —45, -90 and — 180 degrees of COPD show a significant lag in response time. The lag time is commonly referred to as propagation time or dead time because no output is produced during this time. The gain and phase data obtained from cardiovascular modeling of normal and COPD show definite changes in the way the baroreflex behaved in normal and COPD subjects. Since the COPD model represents a disease state, it is obvious that the lag time affects the stability of a control system. Although lag time in COPD cannot be eliminated from the model, it may certainly be reduced. In addition, the system loop gain may be adjusted until the system is stable. This is verified from the fact that the cardiovascular system still works in COPD and that the COPD 3dB gain is slightly smaller than that of normal subjects.
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Copyright Warning & Restrictions Th
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ABSTRACT TIME-FREQUENCY INVESTIGATI
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TIME-FREQUENCY INVESTIGATION OF HEA
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APPROVAL PAGE TIME-FREQUENCY INVEST
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BIOGRAPHICAL SKETCH (Continued) D.A
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ACKNOWLEDGMENT The author wishes to
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TABLE OF CONTENTS Chapter Page 1 IN
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TABLE OF CONTENTS (Continued) Chapt
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LIST OF FIGURES Figure Page 2.1 The
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LIST OF FIGURES (Continued) Figure
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LIST OF FIGURES (Continued) Figure
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ABBREVIATIONS A ABP Arterial Blood
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ABBREVIATIONS (Continued) P PID Pro
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2 mortality and sudden death. [2] B
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4 1) Patients with severe pulmonary
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6 examined for determining the inte
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8 identified using principal compon
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1 0 1. Present the application of t
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12 1.3 Outline of the Dissertation
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CHAPTER 2 PHYSIOLOGY BACKGROUND Bio
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16 Figure 2.2 The systemic and pulm
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18 illustrated in Figure 2.3. The i
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20 2.2 Blood Pressure The force tha
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22 2.4 The Nervous System Human beh
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24 The sympathetic nerve fibers lea
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26 Without these sympathetic and pa
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28 center in the medulla, which con
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30 Figure 2.6 Autonomic innervation
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32 average heart rate was measured
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34 However, they do note that there
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Figure 2.9 The placement of the pos
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38 female. While more men suffer fr
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40 Stage II: Moderate COPD - Worsen
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CHAPTER 3 ENGINEERING BACKGROUND Th
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44 Two common types of time-frequen
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46 STFT: Short-Time Fourier Transfo
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48 3.3 The Analytic Signal and Inst
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50 The advantage of using equation
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52 3.5 Covariance and Invariance Th
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where H(f), S(f) are Fourier transf
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56 Another shortcoming of the spect
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58 should take the kernel of the WD
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60 called the cross Wigner distribu
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62 3.6.3 The Choi-Williams (Exponen
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64 Figure 3.3 Performance of the Ch
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66 [-Ω,Ω ], then its STFT will be
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68 This condition forces that the w
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70 where c is a constant. Thus, the
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Figure 3.5 The time-frequency plane
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74 The measure dadb used in the tra
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76 and the wavelet transform repres
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78 Figure 3.6 Figure depicting the
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80 The final step to obtain the pow
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82 It should be noted that if the w
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84 The normal respiration rate can
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Figure 3.12 Power spectrum of BP II
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RR similar manner to give: When com
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90 when there is significant correl
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92 3.12 Partial Coherence Analysis
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94 after removal of the effects of
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96 The bulk of the theory and appli
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98 technique is measurement time. T
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100 usually attainable. The key poi
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102 variability exists in the propa
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104 eXogenous input (ARX) was used
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106 The baroreflex, an autonomic re
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108 the principal components are no
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110 The mathematical solution for t
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112 3.15 Cluster Analysis The term
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114 formed) one can read off the cr
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116 3.15.5 Squared Euclidian Distan
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118 Alternatively, one may use the
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120 Sneath and Sokal used the abbre
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122 may seem a bit confusing at fir
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CHAPTER 4 METHODS The purpose of th
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126 4.1.2.1 Autonomic Testing. HR V
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128 of heart rate, blood pressure,
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130 The patients who underwent LVRS
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132 panel of the Correct.vi. It was
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134 4.2.3 Power Spectrum Analysis o
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136 weighted-average value of the c
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138 For each given scale a within t
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140 frequency F to the wavelet func
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142 4.2.8 System Identification Ana
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144 In this study a simpler approac
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146 Table 4.2 Parameters That Make
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148 4.2.11 Cluster Analysis The sam
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150 viewing the time series of sequ
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Figure 5.2 BPV analysis of a COPD s
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Figure 5.3 HRV analysis of a normal
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Figure 5.4.1 Comparison of the HRV
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158 5.2 Time Frequency Analysis One
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Figure 5.5 Test signal with 3 sine
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162 Figure 5.6 (c) CWD of a signal
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164 Figure 5.7 (c) WT (dB4 wavelet)
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166 HRV more information about HRV
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168 Figure 5.9 (c) CWD plots of a n
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Figure 5.10 CWT (Morlet) HRV plot o
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172 The following figures show the
Page 203 and 204: 174 Figure 5.15 CWT (Mexican Hat) H
Page 205 and 206: 176 5.2.5 Best Wavelet Selection fo
Page 207 and 208: 178 Table 5.1 Correlation Indices o
Page 209 and 210: 180 5.2.6 Vagal Tone and Sympathova
Page 211 and 212: 182 These figures basically show th
Page 213 and 214: 184 Figure 5.20 Sympathetic and par
Page 217 and 218: 188 5.2.7 Time-Frequency Analysis (
Page 219 and 220: 190 Figure 5.29 3D and contour plot
Page 221 and 222: 192 Figure 5.33 3D and contour plot
Page 229 and 230: Figure 5.44 Plot of raw respiration
Page 231 and 232: Figure 5.46 The LF partial coherenc
Page 233 and 234: Figure 5.48 HF partial coherence pl
Page 235 and 236: Table 5.2 Cross-Spectral Analysis o
Page 237 and 238: Table 5.3 Cross-Spectral Analysis o
Page 239 and 240: Figure 5.50 HF coherence of COPD (1
Page 241 and 242: 212 For better presentation of the
Page 243 and 244: Figure 5.53 Coherence and partial c
Page 245 and 246: 216 2. Interpretation of the transf
Page 247 and 248: 218 covariances of the parameters,
Page 249 and 250: 220 deviations are interpreted as A
Page 251 and 252: 222 Figure 5.58 Bode plot of the HR
Page 253: 224 In this section a simple model
Page 257 and 258: 228 Figure 5.60 Normal and COPD cla
Page 259 and 260: 230 Figure 5.61 Normal and COPD cla
Page 261 and 262: 232 Figure 5.62 Normal classificati
Page 263 and 264: 234 5.7 Cluster Analysis The purpos
Page 265 and 266: 236 Figure 5.64 Severity classifica
Page 267 and 268: 238 both the normal and COPD subjec
Page 269 and 270: 240 In summary, COPD subjects had h
Page 271 and 272: APPENDIX A EXERCISE PHYSIOLOGY A.1
Page 273 and 274: 244 A.3 Figure Out Your Target Hear
Page 275 and 276: APPENDIX B ANALYSIS PROGRAM LISTING
Page 277 and 278: 248 4) Click on file, close to exit
Page 279 and 280: 250 • TN 11
Page 281 and 282: 252 B.1.2 Partial Coherence Between
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Page 285 and 286: 256 Block Diagram !rime of record K
Page 287 and 288: 258
Page 289 and 290: 260 B.2.2 Time — Frequency Analys
Page 291 and 292: 262 This program provides the STFT
Page 293 and 294: 264 G(:j+1)=G(:,j+1)/(2*sum(G(:j+1)
Page 295 and 296: 266 T=(length(Signa)/sample)/(Times
Page 297 and 298: 268 subplot(3, 1,3), plot(T,E); xla
Page 299 and 300: 270 4. The program creates five out
Page 301 and 302: 272 B.2.3.4 Program to Generate Sym
Page 303 and 304: 274 ylabel('frequency'); title('Ins
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276 The program will run and output
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278 axis([0 1 0 2]); grid on; xlabe
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280 vagal=sum(TFDs(HFC,1:k)); symto
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282 plot(J,symtopar); %plot(A,symto
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284 4. Remove the constant levels a
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286 Make sure the agreement is quit
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288 B.2.6 Principal Components Anal
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290 Columns 12 through 15 'LF_pcoh_
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292 I= 1.0000 -0.0000 -0.0000 -0.00
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294 variances = 3.4083 1.2140 1.141
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296 B.2.7 Cluster Analysis Program
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298 end [R,C]=size(Data); if length
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300 B.2.8 Cross-correlation Program
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302 C.3 Partial coherence of HR and
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304 [13] Madwed, J., and R. Cohen.
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306 [41] Mallat, S. G., "A Theory f
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[70] Tazebay, M.V., R.T. Saliba and
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