Contributors |
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ix | |
Preface |
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1 Bioheat Transfer and Thermal Heating for Tumor Treatment |
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1.1 Pennes' and Other Bioheat Transfer Equations |
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1 | (4) |
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1.2 Blood Flow Impacts on Thermal Lesions with Pulsation and Different Velocity Profiles |
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5 | (10) |
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1.3 Thermal Relaxation Time Factor in Blood Flow During Thermal Therapy |
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15 | (9) |
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1.4 PBHTE with the Vascular Cooling Network Model |
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24 | (5) |
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1.5 Hyperthermia Treatment Planning |
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29 | (11) |
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40 | (3) |
2 Tissue Response to Short Pulse Laser Irradiation |
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43 | (3) |
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2.2 Mathematical Formulation |
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46 | (4) |
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50 | (1) |
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2.4 Results and Discussion |
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51 | (5) |
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56 | (1) |
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57 | (2) |
3 Quantitative Models of Thermal Damage to Cells and Tissues |
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59 | (1) |
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3.2 Heat Transfer in Tissue |
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60 | (1) |
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3.3 Reaction Rates and Temperature |
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61 | (2) |
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3.4 Thermal Denaturation of Proteins |
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63 | (3) |
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66 | (3) |
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3.6 Tissue-Level Descriptions |
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69 | (3) |
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72 | (1) |
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73 | (5) |
4 Analytical Bioheat Transfer: Solution Development of the Pennes' Model |
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4.1 Pennes' Bioheat Equation in Living Tissue Analogy |
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78 | (4) |
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4.2 Solutions to the Transient Homogenous Bioheat Equation |
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82 | (13) |
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4.3 Solution Approaches to Nonhomogenous Problems |
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95 | (12) |
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4.4 Additional Considerations |
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107 | (1) |
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4.5 The Composite Bioheat Problem |
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108 | (15) |
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123 | (1) |
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124 | (1) |
5 Characterizing Respiratory Airflow and Aerosol Condensational Growth in Children and Adults Using an Imaging-CFD Approach |
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125 | (2) |
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127 | (7) |
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134 | (14) |
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148 | (3) |
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151 | (1) |
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152 | (5) |
6 Transport in the Microbiome |
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157 | (1) |
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158 | (2) |
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6.3 Swimming Microorganisms |
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160 | (19) |
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6.4 Continuum Descriptions |
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179 | (5) |
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184 | (1) |
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185 | (5) |
7 A Critical Review of Experimental and Modeling Research on the Leftward Flow Leading to Left-Right Symmetry Breaking in the Embryonic Node |
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190 | (1) |
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7.2 Experimental Research on the Leftward Nodal Flow and LR Symmetry Breaking |
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191 | (2) |
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7.3 Modeling Research on the Nodal Flow |
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193 | (1) |
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7.4 Leftward Flow or Flow Recirculation? |
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194 | (1) |
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7.5 Sensing of the Flow: Mechanosensing or Chemosensing? |
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194 | (2) |
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7.6 Modeling the Effect of a Ciliated Surface by Imposing a Given Vorticity at the Edge of the Ciliated Layer |
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196 | (4) |
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7.7 Summary of Relevant Parameters Describing the Nodal Flow and Estimates of Their Values |
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200 | (1) |
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7.8 Numerical Results Obtained Assuming a Constant Vorticity at the Edge of the Ciliated Layer |
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201 | (2) |
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203 | (1) |
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204 | (1) |
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204 | (3) |
8 Fluid-Biofilm Interactions in Porous Media |
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8.1 Microbial Biofilms in Porous Media |
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207 | (9) |
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8.2 A Motivating Problem: Biofilms and the Fate of Contaminants in Soil |
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216 | (2) |
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8.3 Models of Biofilm Growth and Pattern Formation in Quiescent Fluids |
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218 | (4) |
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8.4 Computational Simulation of Fluid-Biofilm Interactions in Porous Media |
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222 | (5) |
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8.5 Mechanisms of Biological Clogging in Porous Media |
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227 | (7) |
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234 | (1) |
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234 | (5) |
9 Flow Through a Permeable Tube |
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239 | (1) |
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9.2 Axisymmetric Stokes Flow |
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240 | (5) |
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9.3 Flow Through an Infinite Permeable Tube |
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245 | (7) |
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252 | (5) |
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9.5 Flow Through a Tube with Finite Length |
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257 | (9) |
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266 | (6) |
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272 | (1) |
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272 | (2) |
10 Transdermal Drug Delivery and Percutaneous Absorption: Mathematical Modeling Perspectives |
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274 | (2) |
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10.2 Physiological Description and Drug Transport Models |
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276 | (10) |
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10.3 Review of Mathematical Methods |
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286 | (2) |
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10.4 Modeling TDD Through a Two-Layered System |
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288 | (12) |
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300 | (2) |
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302 | (3) |
11 Mechanical Stress Induced Blood Trauma |
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305 | (1) |
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11.2 Mechanical Stresses Experienced by Blood |
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306 | (4) |
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11.3 Fluid Dynamic Effects on Blood Constituents |
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310 | (11) |
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11.4 Numerical Models of Damage to the Blood Constituents |
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321 | (7) |
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328 | (1) |
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329 | (7) |
12 Modeling of Blood Flow in Stented Coronary Arteries |
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336 | (2) |
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12.2 Hemodynamic Quantities of Interest |
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338 | (4) |
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12.3 Fluid Dynamic Models of Idealized Stented Geometries |
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342 | (10) |
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12.4 Fluid Dynamic Models of Image-Based Stented Geometries |
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352 | (10) |
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12.5 Limitations of the Current CFD Models and Future Remarks |
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362 | (3) |
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365 | (1) |
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366 | (1) |
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366 | (5) |
13 Hemodynamics in the Developing Cardiovascular System |
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371 | (1) |
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13.2 The Chicken Embryo Model System |
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372 | (2) |
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13.3 Relevant Fluid Mechanic Regimes |
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374 | (8) |
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13.4 Experimental Studies |
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382 | (10) |
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392 | (4) |
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396 | (4) |
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13.7 Conclusions and Outlook |
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400 | (1) |
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401 | (6) |
Index |
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