Vittorio Cristini is Professor of Health Information Sciences and Biomedical Engineering at the University of Texas, and of Systems Biology at the M. D. Anderson Cancer Center, Houston. He is also Honorary Professor of Mathematics at the University of Dundee, Scotland. Professor Cristini is a leading researcher in the fields of mathematical and computational biology, complex fluids, materials science and mathematical oncology. He has published several chapters in books and over 60 journal articles. John Lowengrub is a Professor of Mathematics, Materials Science, and Biomedical and Chemical Engineering at the University of California, Irvine. He has published over 80 journal articles along with several book chapters. Professor Lowengrub is a leading researcher in the fields of mathematical and computational biology, mathematical oncology, complex fluids, and materials science. His research has been supported by various institutions including the National Science Foundation, the National Institutes of Health, and the State of California.

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• Part I. Theory: 1. Introduction; 2. Biological background; 3. Continuum tumor modeling: single phase; 4. Analysis and calibration of single-phase continuum tumor models; 5. Continuum tumor modeling: multiphase; 6. Discrete cell modeling; 7. Hybrid continuum-discrete models; 8. Numerical schemes; Part II. Applications: 9. Continuum tumor modeling: a multidisciplinary approach; 10. Agent-based cell modeling: application to breast cancer.

Vittorio Cristini is Professor of Health Information Sciences and Biomedical Engineering at the University of Texas, and of Systems Biology at the M. D. Anderson Cancer Center, Houston. He is also Honorary Professor of Mathematics at the University of Dundee, Scotland. Professor Cristini is a leading researcher in the fields of mathematical and computational biology, complex fluids, materials science and mathematical oncology. He has published several chapters in books and over 60 journal articles. John Lowengrub is a Professor of Mathematics, Materials Science, and Biomedical and Chemical Engineering at the University of California, Irvine. He has published over 80 journal articles along with several book chapters. Professor Lowengrub is a leading researcher in the fields of mathematical and computational biology, mathematical oncology, complex fluids, and materials science. His research has been supported by various institutions including the National Science Foundation, the National Institutes of Health, and the State of California.

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• Part I. Theory: 1. Introduction; 2. Biological background; 3. Continuum tumor modeling: single phase; 4. Analysis and calibration of single-phase continuum tumor models; 5. Continuum tumor modeling: multiphase; 6. Discrete cell modeling; 7. Hybrid continuum-discrete models; 8. Numerical schemes; Part II. Applications: 9. Continuum tumor modeling: a multidisciplinary approach; 10. Agent-based cell modeling: application to breast cancer.

Vittorio Cristini is Professor of Health Information Sciences and Biomedical Engineering at the University of Texas, and of Systems Biology at the M. D. Anderson Cancer Center, Houston. He is also Honorary Professor of Mathematics at the University of Dundee, Scotland. Professor Cristini is a leading researcher in the fields of mathematical and computational biology, complex fluids, materials science and mathematical oncology. He has published several chapters in books and over 60 journal articles. John Lowengrub is a Professor of Mathematics, Materials Science, and Biomedical and Chemical Engineering at the University of California, Irvine. He has published over 80 journal articles along with several book chapters. Professor Lowengrub is a leading researcher in the fields of mathematical and computational biology, mathematical oncology, complex fluids, and materials science. His research has been supported by various institutions including the National Science Foundation, the National Institutes of Health, and the State of California.

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• Part I. Theory: 1. Introduction; 2. Biological background; 3. Continuum tumor modeling: single phase; 4. Analysis and calibration of single-phase continuum tumor models; 5. Continuum tumor modeling: multiphase; 6. Discrete cell modeling; 7. Hybrid continuum-discrete models; 8. Numerical schemes; Part II. Applications: 9. Continuum tumor modeling: a multidisciplinary approach; 10. Agent-based cell modeling: application to breast cancer.