Contributors |
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xiii | |
Preface |
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xvii | |
Part 1 Infectious Disease Control And Management |
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1 | (152) |
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1 Optimization in Infectious Disease Control and Prevention: Tuberculosis Modeling Using Microsimulation |
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3 | (22) |
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1.1 Tuberculosis Epidemiology and Background |
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4 | (2) |
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5 | (1) |
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1.2 Microsimulations for Disease Control |
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6 | (2) |
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1.3 A Microsimulation for Tuberculosis Control in India |
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8 | (14) |
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1.3.1 Population Dynamics |
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9 | (1) |
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1.3.2 Dynamics of TB in India |
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9 | (1) |
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10 | (1) |
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11 | (2) |
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1.3.5 Probability Conversions |
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13 | (1) |
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1.3.6 Calibration and Validation |
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14 | (2) |
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1.3.7 Intervention Policies and Analysis |
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16 | (2) |
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1.3.8 Time Horizons and Discounting |
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18 | (1) |
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1.3.9 Incremental Cost-Effectiveness Ratios and Net Monetary Benefits |
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19 | (3) |
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1.3.10 Sensitivity Analysis |
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22 | (1) |
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22 | (1) |
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23 | (2) |
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2 Saving Lives with Operations Research: Models to Improve HIV Resource Allocation |
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25 | (34) |
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25 | (6) |
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25 | (2) |
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2.1.2 Modeling Approaches |
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27 | (4) |
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31 | (1) |
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2.2 HIV Resource Allocation: Theoretical Analyses |
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31 | (8) |
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2.2.1 Defining the Resource Allocation Problem |
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31 | (4) |
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2.2.2 Production Functions for Prevention and Treatment Programs |
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35 | (2) |
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2.2.3 Allocating Resources among Prevention and Treatment Programs |
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37 | (2) |
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2.3 HIV Resource Allocation: Portfolio Analyses |
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39 | (5) |
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39 | (1) |
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2.3.2 Opiate Substitution Therapy and ART in Ukraine |
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40 | (2) |
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2.3.3 Pre-exposure Prophylaxis and ART |
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42 | (2) |
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2.4 HIV Resource Allocation: A Tool for Decision Makers |
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44 | (6) |
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2.4.1 REACH Model Overview |
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44 | (1) |
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2.4.2 Example Analysis: Brazil |
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45 | (3) |
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2.4.3 Example Analysis: Thailand |
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48 | (2) |
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2.5 Discussion and Further Research |
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50 | (3) |
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53 | (1) |
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53 | (6) |
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3 Adaptive Decision-Making During Epidemics |
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59 | (22) |
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59 | (2) |
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61 | (2) |
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63 | (10) |
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3.3.1 The 1918 Influenza Pandemic in San Francisco, CA |
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63 | (1) |
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3.3.2 Stochastic Transmission Dynamic Models |
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64 | (2) |
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66 | (3) |
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3.3.4 Optimizing Dynamic Health Policies |
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69 | (4) |
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73 | (2) |
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75 | (1) |
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76 | (1) |
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76 | (5) |
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4 Assessing Register-Based Chlamydia Infection Screening Strategies: A Cost-Effectiveness Analysis on Screening Start/End Age and Frequency |
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81 | (28) |
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81 | (2) |
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4.2 Background Literature Review |
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83 | (6) |
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4.2.1 Clinical Background on CT Infection and Control |
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83 | (2) |
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4.2.2 CT Screening Programs |
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85 | (1) |
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4.2.3 Computational Modeling on CT Transmission and Control |
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85 | (4) |
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4.3 Mathematical Modeling |
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89 | (9) |
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4.3.1 An Age-Structured Compartmental Model |
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89 | (4) |
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4.3.2 Model Parameterization and Validation |
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93 | (5) |
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98 | (3) |
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4.4.1 Base-Case Assessment |
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98 | (2) |
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4.4.2 Sensitivity Analysis |
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100 | (1) |
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4.5 Conclusions and Future Research |
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101 | (1) |
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102 | (7) |
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5 Optimal Selection of Assays for Detecting Infectious Agents in Donated Blood |
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109 | (20) |
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5.1 Introduction and Challenges |
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109 | (4) |
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109 | (2) |
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111 | (2) |
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5.2 The Notation and Decision Problem |
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113 | (6) |
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114 | (1) |
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5.2.2 Measures of Interest |
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115 | (2) |
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117 | (1) |
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5.2.4 Relationship of the Proposed Mathematical Models to Cost-Effectiveness Analysis |
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118 | (1) |
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5.3 The Case Study of the Sub-Saharan Africa Region and the United States |
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119 | (4) |
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5.3.1 Uncertainty in Prevalence Rates |
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122 | (1) |
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5.4 Contributions and Future Research Directions |
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123 | (1) |
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123 | (1) |
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124 | (5) |
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6 Modeling Chronic Hepatitis C During Rapid Therapeutic Advance: Cost-Effective Screening, Monitoring, and Treatment Strategies |
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129 | (24) |
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129 | (2) |
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131 | (8) |
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6.2.1 Modeling Disease Natural History and Intervention |
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132 | (2) |
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6.2.2 Estimating Parameters for Disease Progression and Death |
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134 | (5) |
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6.3 Four Research Areas in Designing Effective HCV Interventions |
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139 | (9) |
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6.3.1 Cost-Effective Screening and Treatment Strategies |
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139 | (2) |
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6.3.2 Cost-Effective Monitoring Guidelines |
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141 | (1) |
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6.3.3 Optimal Treatment Adoption Decisions |
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141 | (4) |
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6.3.4 Optimal Treatment Delivery in Integrated Healthcare Systems |
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145 | (3) |
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148 | (1) |
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148 | (5) |
Part 2 Noncommunicable Disease Prevention |
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153 | (106) |
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7 Modeling Disease Progression and Risk-Differentiated Screening for Cervical Cancer Prevention |
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155 | (28) |
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155 | (2) |
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157 | (2) |
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7.3 Modeling Cervical Cancer Screening |
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159 | (12) |
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160 | (6) |
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7.3.2 Parameter Selection |
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166 | (3) |
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169 | (2) |
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171 | (3) |
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7.4.1 Cost-Effectiveness Analysis |
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171 | (1) |
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7.4.2 Sensitivity Analysis |
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172 | (2) |
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174 | (1) |
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175 | (8) |
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8 Using Finite-Horizon Markov Decision Processes for Optimizing Post-Mammography Diagnostic Decisions |
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183 | (18) |
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183 | (2) |
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185 | (3) |
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8.3 Structural Properties |
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188 | (5) |
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193 | (3) |
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196 | (1) |
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196 | (1) |
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197 | (4) |
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9 Partially Observable Markov Decision Processes for Prostate Cancer Screening, Surveillance, and Treatment: A Budgeted Sampling Approximation Method |
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201 | (22) |
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201 | (3) |
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9.2 Review of POMDP Models and Benchmark Algorithms |
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204 | (2) |
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9.3 A POMDP Model for Prostate Cancer Screening, Surveillance, and Treatment |
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206 | (3) |
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9.4 Budgeted Sampling Approximation |
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209 | (4) |
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9.4.1 Lower and Upper Bounds |
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209 | (2) |
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9.4.2 Summary of the Algorithm |
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211 | (2) |
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9.5 Computational Experiments |
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213 | (4) |
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9.5.1 Finite-Horizon Test Instances |
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213 | (1) |
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9.5.2 Computational Experiments |
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214 | (3) |
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217 | (2) |
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219 | (4) |
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10 Cost-Effectiveness Analysis of Breast Cancer Mammography Screening Policies Considering Uncertainty in Women's Adherence |
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223 | (18) |
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223 | (2) |
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225 | (6) |
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231 | (2) |
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233 | (3) |
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10.4.1 Perfect Adherence Case |
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233 | (1) |
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10.4.2 General Population Adherence Case |
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234 | (2) |
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236 | (1) |
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237 | (4) |
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11 An Agent-Based Model for Ideal Cardiovascular Health |
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241 | (18) |
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241 | (2) |
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243 | (7) |
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11.2.1 Agent-Based Modeling |
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243 | (1) |
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244 | (2) |
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11.2.3 Parameter Estimation |
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246 | (2) |
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248 | (1) |
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249 | (1) |
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250 | (2) |
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11.3.1 Simulating American Adults |
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250 | (2) |
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11.4 Simulating the Medicare-Age Population and the Disease-Specific Subpopulations |
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252 | (2) |
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254 | (1) |
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255 | (1) |
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255 | (4) |
Part 3 Treatment Technology And System |
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259 | (142) |
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12 Biological Planning Optimization for High-Dose-Rate Brachytherapy and its Application to Cervical Cancer Treatment |
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261 | (24) |
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261 | (2) |
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12.2 Challenges and Objectives |
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263 | (2) |
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12.3 Materials and Methods |
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265 | (8) |
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12.3.1 High-Dose-Rate Brachytherapy |
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265 | (1) |
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266 | (1) |
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12.3.3 Novel OR-Based Treatment-Planning Model |
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266 | (5) |
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12.3.4 Computational Challenges and Solution Strategies |
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271 | (2) |
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12.4 Validation and Results |
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273 | (3) |
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12.5 Findings, Implementation, and Challenges |
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276 | (3) |
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12.6 Impact and Significance |
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279 | (2) |
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12.6.1 Quality of Care and Quality of Life for Patients |
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279 | (1) |
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12.6.2 Advancing the Cancer Treatment Frontier |
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279 | (1) |
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12.6.3 Advances in Operations Research Methodologies |
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280 | (1) |
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281 | (1) |
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281 | (4) |
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13 Fluence Map Optimization in Intensity-Modulated Radiation Therapy Treatment Planning |
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285 | (22) |
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285 | (3) |
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13.2 Treatment Plan Evaluation |
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288 | (4) |
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13.2.1 Physical Dose Measures |
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289 | (2) |
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13.2.2 Biological Dose Measures |
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291 | (1) |
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13.3 FMO Optimization Models |
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292 | (7) |
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13.3.1 Objective Functions |
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293 | (2) |
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295 | (2) |
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13.3.3 Robust Formulation |
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297 | (2) |
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13.4 Optimization Approaches |
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299 | (1) |
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300 | (1) |
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301 | (6) |
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14 Sliding Window IMRT and VMAT Optimization |
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307 | (16) |
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307 | (2) |
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14.2 Two-Step IMRT Planning |
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309 | (1) |
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14.3 One-Step IMRT Planning |
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310 | (3) |
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14.3.1 One-Step Sliding Window Optimization |
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310 | (3) |
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14.4 Volumetric Modulated ARC Therapy |
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313 | (2) |
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14.5 Future Work for Radiotherapy Optimization |
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315 | (2) |
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14.5.1 Custom Solver for Radiotherapy |
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315 | (1) |
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14.5.2 Incorporating Additional Hardware Considerations into Sliding Window VMAT Planning |
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315 | (1) |
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14.5.3 Trade-Off between Delivery Time and Plan Quality |
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316 | (1) |
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14.5.4 What Do We Optimize? |
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316 | (1) |
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317 | (1) |
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318 | (5) |
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15 Modeling the Cardiovascular Disease Prevention-Treatment Trade-Off |
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323 | (26) |
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323 | (2) |
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325 | (9) |
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325 | (2) |
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327 | (4) |
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331 | (3) |
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334 | (10) |
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334 | (1) |
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15.3.2 Interaction between Prevention and Treatment Spending |
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335 | (1) |
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15.3.3 Impact of Discount Rate on Cost-Effectiveness |
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336 | (1) |
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15.3.4 Optimal Spending Mix |
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337 | (1) |
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15.3.5 Impact of Prevention Lag on Optimal Mix |
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338 | (2) |
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15.3.6 Impact of Discount Rate on Optimal Mix |
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340 | (1) |
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15.3.7 Impact of Time Horizon on Optimal Mix |
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340 | (1) |
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15.3.8 Impacts of Research |
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341 | (3) |
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344 | (2) |
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346 | (1) |
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346 | (3) |
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16 Treatment Optimization for Patients with Type 2 Diabetes |
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349 | (18) |
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349 | (1) |
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350 | (3) |
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353 | (4) |
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354 | (1) |
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354 | (1) |
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355 | (1) |
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355 | (1) |
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356 | (1) |
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356 | (1) |
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357 | (5) |
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357 | (1) |
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16.4.2 Optimal Treatment Policies to Reduce Polypharmacy |
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358 | (4) |
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362 | (1) |
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363 | (4) |
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17 Machine Learning for Early Detection and Treatment Outcome Prediction |
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367 | (34) |
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367 | (2) |
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369 | (3) |
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17.3 Machine Learning with Discrete Support Vector Machine Predictive Models |
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372 | (8) |
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17.3.1 Modeling of Reserved-Judgment Region for General Groups |
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373 | (1) |
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17.3.2 Discriminant Analysis via Mixed-Integer Programming |
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374 | (2) |
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376 | (3) |
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17.3.4 Theoretical Properties and Computational Strategies |
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379 | (1) |
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17.4 Applying Damip to Real-World Applications |
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380 | (13) |
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17.4.1 Validation of Model and Computational Effort |
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381 | (1) |
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17.4.2 Applications to Biological and Medical Problems |
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381 | (8) |
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17.4.3 Applying DAMIP to UCI Repository of Machine Learning Databases |
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389 | (4) |
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17.5 Summary and Conclusion |
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393 | (1) |
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394 | (1) |
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394 | (7) |
Index |
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