Mathematical Methods and Models in Biomedicine

ISBN: 978-1-4614-4177-9 (Print) 978-1-4614-4178-6 (Online)

Table of contents (15 chapters)

  1. Front Matter

    Pages i-xi

  2. Immune System Modeling

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-31

      Spatial Aspects of HIV Infection

    3. No Access

      Book Chapter

      Pages 33-57

      Basic Principles in Modeling Adaptive Regulation and Immunodominance

    4. No Access

      Book Chapter

      Pages 59-83

      Evolutionary Principles in Viral Epitopes

  3. Blood Vessel Dynamics

    1. Front Matter

      Pages 85-85

    2. No Access

      Book Chapter

      Pages 87-115

      A Multiscale Approach Leading to Hybrid Mathematical Models for Angiogenesis: The Role of Randomness

    3. No Access

      Book Chapter

      Pages 117-147

      Modeling Tumor Blood Vessel Dynamics

    4. No Access

      Book Chapter

      Pages 149-175

      Influence of Blood Rheology and Outflow Boundary Conditions in Numerical Simulations of Cerebral Aneurysms

  4. Cancer Modeling

    1. Front Matter

      Pages 177-177

    2. No Access

      Book Chapter

      Pages 179-202

      The Steady State of Multicellular Tumour Spheroids: A Modelling Challenge

    3. No Access

      Book Chapter

      Pages 203-232

      Deciphering Fate Decision in Normal and Cancer Stem Cells: Mathematical Models and Their Experimental Verification

    4. No Access

      Book Chapter

      Pages 233-262

      Data Assimilation in Brain Tumor Models

  5. Cancer Treatment

    1. Front Matter

      Pages 263-263

    2. No Access

      Book Chapter

      Pages 265-309

      Optimisation of Cancer Drug Treatments Using Cell Population Dynamics

    3. No Access

      Book Chapter

      Pages 311-337

      Tumor Development Under Combination Treatments with Anti-angiogenic Therapies

    4. No Access

      Book Chapter

      Pages 339-366

      Saturable Fractal Pharmacokinetics and Its Applications

    5. No Access

      Book Chapter

      Pages 367-385

      A Mathematical Model of Gene Therapy for the Treatment of Cancer

  6. Epidemiological Models

    1. Front Matter

      Pages 387-387

    2. No Access

      Book Chapter

      Pages 389-410

      Epidemiological Models with Seasonality

    3. No Access

      Book Chapter

      Pages 411-427

      Periodic Incidence in a Discrete-Time SIS Epidemic Model