Selected topics in cancer modeling genesis, evolution, immune competition, and therapy
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| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Boston, Mass. ; Basel ; Berlin
Birkhäuser
2008
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| Schriftenreihe: | Modeling and simulation in science, engineering & technology
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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| 245 | 1 | 0 | |a Selected topics in cancer modeling |b genesis, evolution, immune competition, and therapy |c Nicola Bellomo ... ed. |
| 264 | 1 | |a Boston, Mass. ; Basel ; Berlin |b Birkhäuser |c 2008 | |
| 300 | |a XVI, 473 S. |b Ill., graph. Darst. |c 25 cm | ||
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| 490 | 0 | |a Modeling and simulation in science, engineering & technology | |
| 500 | |a Literaturangaben | ||
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Computer Simulation | |
| 650 | 4 | |a Models, Theoretical | |
| 650 | 4 | |a Neoplasms | |
| 650 | 4 | |a Tumors |x Growth |x Computer simulation | |
| 650 | 4 | |a Tumors |x Growth |x Mathematical models | |
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Datensatz im Suchindex
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|---|---|
| DE-BY-UBR_katkey | 4468101 |
| DE-BY-UBR_location | 91 |
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| adam_text | Contents
Preface xi
List of Contributors xiii
1 Genetic and Epigenetic Pathways to Colon Cancer:
Relating Experimental Evidence with Modeling
Natalia L. Komarova, Dominik Wodarz, C. Richard Boland,
and Ajay Goel 1
1.1 Introduction 1
1.2 Genomic Instability in CRC: The Three Molecular Phenotypes ... 2
1.3 Mathematical Modeling of Pathways to Cancer 8
1.4 Modeling Sporadic and Familial CRC Initiation 10
1.5 Discussion 20
References 23
2 From Kinetic Theory for Active Particles to Modelling
Immune Competition
Abdelghani Bellouquid, Marcello Delitala 31
2.1 Introduction 31
2.2 Mathematical Frameworks and a General Model 32
2.3 Qualitative Analysis 36
2.4 Simulations 40
2.5 Looking Forward 42
Appendix 44
References 46
3 Towards Microscopic and Nonlocal Models of Tumour
Invasion of Tissue
Miroslaw Lachowicz 49
3.1 Introduction 49
3.2 A Simple Example 51
3.3 Macroscopic Models of Tumour Invasion 53
vi Contents
3.4 Microscopic Nonlocal Models of Tumour Invasion 55
3.5 Mesoscopic Model 58
3.6 Conclusions 61
References 62
4 Nonlinear Renewal Equations
Benoit Perthame, Suman Kumar Tumuluri 65
4.1 Introduction 65
4.2 Examples of Age-Structured Models 67
4.3 Assumptions and Eigenelements 71
4.4 Existence of Solutions to the Linear Problem 73
4.5 Nonlinear Problem, Uniform Bounds 74
4.6 A Case with Asymptotic Decoupling 77
4.7 A Concave Nonlinearity on the Birth Term 80
4.8 Stability for Nonlinearities Reducing to ODE Systems 82
References 94
5 A Game Theoretical Perspective on the Somatic Evolution
of Cancer
David Basanta, Andreas Deutsch 97
5.1 Introduction 97
5.2 Tumourigenesis 99
5.3 Angiogenesis 102
5.4 Motility/Invasion 105
5.5 Outlook 108
References Ill
6 Nonlinear Modeling and Simulation of Tumor Growth
Vittorio Cristini, Hermann B. Frieboes, Xiaongrong Li, John S.
Lowengrub, Paul Macklin, Sandeep Sanga, Steven M. Wise, and
Xiaoming Zheng 113
6.1 Introduction 113
6.2 Solid Tumor Growth Using a Boundary Integral Method 115
6.3 Vascularized Tumor Growth Using an Adaptive Finite
Element/Level Set Method 130
6.4 Solid Tumor Growth Using a Ghost Cell/Level Set Method 146
6.5 Vascularized 3-D Tumor Growth Using a Diffuse Interface
Approach 160
6.6 Conclusion 168
References 169
7 Tumour Cords and Their Response to Anticancer Agents
Alessandro Bertuzzi, Antonio Fasano, Alberto Gandolfi,
and Carmela Sinisgalli 183
7.1 Introduction 183
7.2 The Basic Model for the Evolution of Tumour Cords 187
Contents vii
7.3 Response of Cords to Treatments 193
7.4 Conclusions 203
References 204
8 Modeling Diffusely Invading Brain Tumors:
An Individualized Approach to Quantifying Glioma
Evolution and Response to Therapy
Russell Rockne, Ellsworth C. Alvord Jr., Mindy Szeto, Stanley Gu,
Gargi Chakraborty, Kristin R. Swanson 207
8.1 Introduction 207
8.2 Growth Dynamics of Gliomas in Vivo 208
8.3 Tissue Heterogeneity: Grey and White Matter 213
8.4 Modeling Glioma Response to Therapy 213
8.5 Improvements in Medical Imaging and Tumor Evolution 217
8.6 Conclusion 217
References 218
9 Multiphase Models of Tumour Growth
Sergey Astanin, Luigi Preziosi 223
9.1 Introduction 223
9.2 Mass Balance 224
9.3 Force Balance 229
9.4 Interaction Forces 232
9.5 Stress Tensors 237
9.6 Tumour Growth in a Rigid ECM 239
9.7 Tumour Growth in a Remodelling ECM 243
9.8 Vascularized Tumour Growth 244
9.9 Final Remarks and Open Problems 248
References 250
10 The Lymphatic Vascular System in Lymphangiogenesis,
Invasion and Metastasis: A Mathematical Approach
Michael S. Pepper, Georgios Lolas 255
10.1 Introduction 255
10.2 A Mathematical Model 258
10.3 Numerical Results 266
10.4 Conclusions 269
References 272
11 M for Invasion: Morphology, Mutation and the
Microenvironment
Alexander R. A. Anderson 277
11.1 Introduction 277
11.2 Hybrid Discrete-Continuum Technique 281
11.3 The Continuum Model 282
11.4 The Discrete Model 283
viii Contents
11.5 Morphology and Metabolism 287
11.6 Mutation and the Microenvironment 290
11.7 Conclusion 293
11.8 Discussion 294
References 295
12 Methods of Stochastic Geometry, and Related Statistical
Problems in the Analysis and Therapy of Tumour Growth
and Tumour-Driven Angiogenesis
Vincenzo Capasso, Elisabetta Dejana, and Alessandra Micheletti 299
12.1 Introduction 299
12.2 Stochastic Geometry 303
12.3 The Hazard Function 304
12.4 Generalized Densities 307
12.5 Approximation of Mean Densities 311
12.6 Mean Densities of Stochastic Tessellations 313
12.7 Birth-and-Growth Processes 315
12.8 Interaction with Underlying Fields 317
12.9 Statistical Methods for Fibre Systems 325
12.10 Application of the Estimators to Simulated Angiogenic Processes . 329
References 332
13 Mathematical Modelling of Breast Carcinogenesis,
Treatment with Surgery and Radiotherapy, and Local
Recurrence
Heiko Enderling, Jayant S. Vaidya 337
13.1 Introduction 337
13.2 A Continuous Mathematical Model of Breast Cancer Initiation
and Progression 342
13.3 Modelling Surgery and Radiotherapy 350
13.4 Discussion 354
References 357
14 Predictive Models in Tumor Immunology
Pier-Luigi Lollini, Arianna Palladini, Francesco Pappalardo, and
Santo Motta 363
14.1 Introduction 363
14.2 Tumor Immunology 364
14.3 Cancer Immunoprevention 368
14.4 The Model 372
14.5 The Optimal Scheduling Problem 375
14.6 Conclusion 381
References 383
Contents ix
15 Dynamically Adaptive Tumour-Induced Angiogenesis:
The Impact of Flow on the Developing Capillary Plexus
Steven R. McDougall 385
15.1 Introduction 385
15.2 Angiogenesis and Perfusion: A Brief Review 387
15.3 Dynamic Adaptive Tumour-Induced Angiogenesis (DATIA) 391
15.4 Chemotherapy Delivery via Dynamically Adaptive Capillary Beds 400
15.5 Discussion and Conclusions 404
Appendix A: Capillary Growth Details 406
Appendix B: Adaptive Flow Modelling Details 410
References 413
16 Dynamic Irregular Patterns and Invasive Wavefronts:
The Control of Tumour Growth by Cytotoxic T-Lymphocytes
Anastasios Matzavinos 419
16.1 Introduction 419
16.2 The Mathematical Model 420
16.3 Numerical Simulation Results 425
16.4 Linear Stability Analysis 431
16.5 Bifurcation Analysis 434
16.6 Travelling Waves: Simulation and Analysis 435
16.7 Finite Element Method Simulations 441
16.8 Discussion and Conclusions 443
References 445
17 Multiscale Modelling of Solid Tumour Growth
Helen M. Byrne, I.M.M. van Leeuwen, Markus R. Owen,
Tomds Alarcon, and Philip K. Maini 449
17.1 Introduction 449
17.2 Metabolic Changes During Carcinogenesis 451
17.3 Vascular Tumour Growth 454
17.4 Colorectal Cancer 463
17.5 Discussion 469
References 470
I
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| indexdate | 2024-12-23T21:31:41Z |
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| spellingShingle | Selected topics in cancer modeling genesis, evolution, immune competition, and therapy Mathematisches Modell Computer Simulation Models, Theoretical Neoplasms Tumors Growth Computer simulation Tumors Growth Mathematical models Tumorwachstum (DE-588)4186432-3 gnd Mathematisches Modell (DE-588)4114528-8 gnd Computersimulation (DE-588)4148259-1 gnd |
| subject_GND | (DE-588)4186432-3 (DE-588)4114528-8 (DE-588)4148259-1 (DE-588)4143413-4 |
| title | Selected topics in cancer modeling genesis, evolution, immune competition, and therapy |
| title_auth | Selected topics in cancer modeling genesis, evolution, immune competition, and therapy |
| title_exact_search | Selected topics in cancer modeling genesis, evolution, immune competition, and therapy |
| title_full | Selected topics in cancer modeling genesis, evolution, immune competition, and therapy Nicola Bellomo ... ed. |
| title_fullStr | Selected topics in cancer modeling genesis, evolution, immune competition, and therapy Nicola Bellomo ... ed. |
| title_full_unstemmed | Selected topics in cancer modeling genesis, evolution, immune competition, and therapy Nicola Bellomo ... ed. |
| title_short | Selected topics in cancer modeling |
| title_sort | selected topics in cancer modeling genesis evolution immune competition and therapy |
| title_sub | genesis, evolution, immune competition, and therapy |
| topic | Mathematisches Modell Computer Simulation Models, Theoretical Neoplasms Tumors Growth Computer simulation Tumors Growth Mathematical models Tumorwachstum (DE-588)4186432-3 gnd Mathematisches Modell (DE-588)4114528-8 gnd Computersimulation (DE-588)4148259-1 gnd |
| topic_facet | Mathematisches Modell Computer Simulation Models, Theoretical Neoplasms Tumors Growth Computer simulation Tumors Growth Mathematical models Tumorwachstum Computersimulation Aufsatzsammlung |
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