PREFACE |
|
xiii | |
GLOSSARY |
|
xvii | |
I ELEMENTS OF CONTINUUM MECHANICS |
|
1 | (160) |
|
1.1 BIOLOGICAL TRANSPORT PROCESSES |
|
|
2 | (11) |
|
1.1.1 Micro-to Macro-scale Systems |
|
|
2 | (5) |
|
|
7 | (6) |
|
1.2 BASIC MOMENTUM, HEAT, AND MASS TRANSFER CONCEPTS |
|
|
13 | (11) |
|
1.2.1 Continuum Mechanics Axioms |
|
|
18 | (1) |
|
1.2.2 Flow Field Descriptions |
|
|
19 | (3) |
|
1.2.2.1 Lagrangian Description |
|
|
20 | (1) |
|
1.2.2.2 Eulerian Description |
|
|
21 | (1) |
|
1.2.3 Derivation Approaches |
|
|
22 | (2) |
|
|
24 | (54) |
|
|
26 | (1) |
|
1.3.2 Momentum Conservation (Integral Approach) |
|
|
27 | (15) |
|
1.3.2.1 Stress Tensors and Stress Vectors |
|
|
30 | (4) |
|
1.3.2.2 Equation of Motion and its Special Cases |
|
|
34 | (2) |
|
1.3.2.3 Force Balance Derivation |
|
|
36 | (6) |
|
1.3.3 Energy Conservation |
|
|
42 | (7) |
|
1.3.3.1 Heat and Mass Transfer Equations |
|
|
43 | (1) |
|
1.3.3.2 Basic Heat and Mass Transfer Applications |
|
|
44 | (5) |
|
1.3.4 Turbulent Flow Equations |
|
|
49 | (15) |
|
1.3.4.1 Aspects of Turbulence |
|
|
49 | (5) |
|
1.3.4.2 Turbulence Scales |
|
|
54 | (1) |
|
1.3.4.3 Summary of Turbulence Modeling |
|
|
55 | (9) |
|
1.3.5 Solution Techniques |
|
|
64 | (14) |
|
1.3.5.1 Solution Methods for Differential Equations |
|
|
67 | (1) |
|
1.3.5.2 Solution Procedures for the Navier-Stokes Equations |
|
|
67 | (4) |
|
1.3.5.3 Similarity Theory |
|
|
71 | (1) |
|
|
72 | (4) |
|
1.3.5.5 Dimensional Analysis and Scaling |
|
|
76 | (2) |
|
|
78 | (42) |
|
1.4.1 Modeling Approaches |
|
|
79 | (9) |
|
|
81 | (2) |
|
|
83 | (5) |
|
|
88 | (11) |
|
1.4.2.1 Homogeneous and Non-Newtonian Flow Models |
|
|
88 | (10) |
|
|
98 | (1) |
|
1.4.3 Separated Flow Models |
|
|
99 | (10) |
|
1.4.3.1 Particle Trajectory Models |
|
|
99 | (9) |
|
1.4.3.2 Species Mass Transfer |
|
|
108 | (1) |
|
|
109 | (11) |
|
|
120 | (17) |
|
|
120 | (1) |
|
|
120 | (6) |
|
1.5.3 Equilibrium Conditions |
|
|
126 | (1) |
|
1.5.4 Deformation Analysis and Stress-Strain Relationships |
|
|
127 | (4) |
|
|
131 | (6) |
|
|
137 | (2) |
|
|
139 | (16) |
|
|
155 | (6) |
II BIOFLUID DYNAMICS CONCEPTS |
|
161 | (80) |
|
|
162 | (35) |
|
2.1.1 Biofluid-compartment Models |
|
|
163 | (10) |
|
2.1.2 Tissue Heat and Mass Transfer |
|
|
173 | (13) |
|
|
186 | (6) |
|
2.1.4 Cell Transport and Microvascular Beds |
|
|
192 | (5) |
|
2.2 THE CARDIOVASCULAR SYSTEM |
|
|
197 | (35) |
|
2.2.1 Cardiovascular Transport Dynamics |
|
|
197 | (2) |
|
|
199 | (10) |
|
|
209 | (23) |
|
|
232 | (5) |
|
|
237 | (4) |
III ANALYSES OF ARTERIAL DISEASES |
|
241 | (80) |
|
|
241 | (37) |
|
3.1.1 Atherosclerotic Plaque Formation |
|
|
242 | (3) |
|
3.1.1.1 A Particle-Hemodynamics Model |
|
|
244 | (1) |
|
3.1.1.2 A Pathway Model for Atherogenesis |
|
|
244 | (1) |
|
3.1.2 Intimal Hyperplasia Development |
|
|
245 | (1) |
|
|
246 | (1) |
|
3.1.4 Particle-Hemodynamics |
|
|
247 | (18) |
|
3.1.4.1 Equations of Particle Motion |
|
|
251 | (3) |
|
|
254 | (3) |
|
3.1.4.3 Hemodynamic Wall Parameters |
|
|
257 | (8) |
|
3.1.5 Treatment Option: Femoral End-to-Side Graft Bypass |
|
|
265 | (13) |
|
3.1.5.1 Computational Fluid-Particle Dynamics Solution |
|
|
266 | (5) |
|
|
271 | (1) |
|
3.1.5.3 Results for a Distal End-to-Side Femoral Bypass |
|
|
272 | (4) |
|
3.1.5.4 Novel System Design and Discussion |
|
|
276 | (2) |
|
|
278 | (33) |
|
|
279 | (4) |
|
3.2.1.1 Mechanisms of AAA Development |
|
|
280 | (2) |
|
3.2.1.2 AAA-Wall Stress and Rupture |
|
|
282 | (1) |
|
3.2.2 Treatment Option: Stent-graft Implants |
|
|
283 | (1) |
|
3.2.3 Stented AAA-model Analysis |
|
|
284 | (12) |
|
3.2.3.1 Basic Structure Equations |
|
|
287 | (1) |
|
|
287 | (2) |
|
3.2.3.3 Model Validations |
|
|
289 | (1) |
|
3.2.3.4 Results and Discussion |
|
|
290 | (5) |
|
|
295 | (1) |
|
3.3 EXAMPLES OF COMPUTERIZED DISEASE MANAGEMENT |
|
|
296 | (26) |
|
|
296 | (1) |
|
3.3.2 Image File Conversion Steps |
|
|
297 | (6) |
|
3.3.3 A Stenosed Artery Model for Surgical Bypass Planning |
|
|
303 | (3) |
|
3.3.4 AAA-Rupture Prediction |
|
|
306 | (5) |
|
|
311 | (2) |
|
|
313 | (8) |
IV BIOFLUID MECHANICS OF ORGAN SYSTEMS |
|
321 | (42) |
|
|
322 | (17) |
|
4.1.1 Respiratory Tract Geometry |
|
|
328 | (2) |
|
4.1.2 Pulmonary Disorders and Treatment Options |
|
|
330 | (9) |
|
|
339 | (10) |
|
4.2.1 Kidney Structure and Functions |
|
|
340 | (2) |
|
4.2.2 Fluid Flow and Mass Transfer in an Artificial Kidney Model |
|
|
342 | (7) |
|
|
349 | (9) |
|
4.3.1 Liver Structure and Functions |
|
|
351 | (1) |
|
4.3.2 Fluid Flow and Mass Transfer in a Liver Model |
|
|
351 | (7) |
|
|
358 | (3) |
|
|
361 | (2) |
V CASE STUDIES IN BIOFLUID DYNAMICS |
|
363 | (88) |
|
5.1 PREREQUISITES FOR MODELING AND SIMULATING |
|
|
364 | (12) |
|
5.1.1 Problem Recognition and System Conceptualization |
|
|
366 | (1) |
|
5.1.2 Types of Models and Modeling Approaches |
|
|
367 | (4) |
|
5.1.3 Mathematical Representation and System Simulation |
|
|
371 | (5) |
|
5.2 NANODRUG DELIVERY IN MICROCHANNELS |
|
|
376 | (21) |
|
5.2.1 Flow in Microchannels |
|
|
377 | (15) |
|
5.2.1.1 Numerical Solution Techniques |
|
|
378 | (5) |
|
5.2.1.2 Microchannel Flow Effects |
|
|
383 | (9) |
|
5.2.2 Controlled Nanodrug Delivery in Microchannels |
|
|
392 | (5) |
|
5.3 PARTICLE DEPOSITION AND TARGETING IN HUMAN LUNG AIRWAYS |
|
|
397 | (25) |
|
5.3.1 Nanoparticle and Microparticle Depositions in a Human Upper Airway Model |
|
|
399 | (1) |
|
5.3.2 Modeling Approach and Results |
|
|
399 | (20) |
|
|
404 | (1) |
|
5.3.2.2 Model Validations |
|
|
405 | (2) |
|
5.3.2.3 Results and Discussion |
|
|
407 | (11) |
|
|
418 | (1) |
|
5.3.3 Micro-drug Aerosol Targeting in Lung Airways |
|
|
419 | (3) |
|
5.4 FLUID-STRUCTURE INTERACTIONS IN STENTED ANEURYSMS |
|
|
422 | (21) |
|
5.4.1 Aneurysms and Their Possible Repairs |
|
|
422 | (4) |
|
5.4.2 A Stented Abdominal Aortic Aneurysm Model |
|
|
426 | (17) |
|
|
426 | (2) |
|
|
428 | (6) |
|
|
434 | (7) |
|
|
441 | (2) |
|
|
443 | (2) |
|
|
445 | (6) |
APPENDICES |
|
451 | (28) |
|
A Review of Tensor Calculus, Differential Operations, Integral Transformations, and ODE Solutions |
|
|
452 | (16) |
|
B Single-Phase Field Equations |
|
|
468 | (2) |
|
|
470 | (5) |
|
|
475 | (3) |
|
|
478 | (1) |
INDEX |
|
479 | |