Skip to main content
SpringerLink
Log in
Book cover

Mathematical Models of Tumor-Immune System Dynamics

  • Conference proceedings
  • © 2014

Overview

Editors:
  1. Amina Eladdadi

    1. Mathematics Department, The College of Saint Rose, Albany, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Peter Kim

    1. School of Mathematics and Statistics, University of Sydney, Sydney, Australia

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Dann Mallet

    1. Mathematical Sciences School, Queensland University of Technology, Brisbane, Australia

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 107)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (10 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Incorporating Asymmetric Stem Cell Division into the Roeder Model for Chronic Myeloid Leukemia

    • Geoffrey Clapp, Doron Levy
    Pages 1-20

  3. A Cellular Automata and a Partial Differential Equation Model of Tumor–Immune Dynamics and Chemotaxis

    • Andrea K. Cooper, Peter S. Kim
    Pages 21-46

  4. A Structured Population Model of Competition Between Cancer Cells and T Cells Under Immunotherapy

    • Marcello Delitala, Tommaso Lorenzi, Matteo Melensi
    Pages 47-58

  5. Modeling Tumor–Immune Dynamics

    • Lisette G. de Pillis, Ami E. Radunskaya
    Pages 59-108

  6. The Mathematics of Drug Delivery

    • Peter Hinow, Ami E. Radunskaya
    Pages 109-123

  7. The Role of the miR-451-AMPK Signaling Pathway in Regulation of Cell Migration and Proliferation in Glioblastoma

    • Yangjin Kim, Hyunji Kang, Sean Lawler
    Pages 125-155

  8. An Optimal Control Approach to Cancer Chemotherapy with Tumor–Immune System Interactions

    • Urszula Ledzewicz, Heinz Schättler
    Pages 157-196

  9. Negative Feedback Regulation in Hierarchically Organized Tissues: Exploring the Dynamics of Tissue Regeneration and the Role of Feedback Escape in Tumor Development

    • Ignacio A. Rodriguez-Brenes, Natalia L. Komarova, Dominik Wodarz
    Pages 197-221

  10. A Cellular Automata Model to Investigate Immune Cell–Tumor Cell Interactions in Growing Tumors in Two Spatial Dimensions

    • Trisilowati, Scott W. McCue, Dann G. Mallet
    Pages 223-251

  11. Differential Equation Techniques for Modeling a Cycle-Specific Oncolytic Virotherapeutic

    • Joanna R. Wares, Joseph J. Crivelli, Peter S. Kim
    Pages 253-275
Back to top

Keywords

About this book

This collection of papers offers a broad synopsis of state-of-the-art mathematical methods used in modeling the interaction between tumors and the immune system. These papers were presented at the four-day workshop on Mathematical Models of Tumor-Immune System Dynamics held in Sydney, Australia from January 7th to January 10th, 2013. The workshop brought together applied mathematicians, biologists, and clinicians actively working in the field of cancer immunology to share their current research and to increase awareness of the innovative mathematical tools that are applicable to the growing field of cancer immunology.

Recent progress in cancer immunology and advances in immunotherapy suggest that the immune system plays a fundamental role in host defense against tumors and could be utilized to prevent or cure cancer. Although theoretical and experimental studies of tumor-immune system dynamics have a long history, there are still many unanswered questions about the mechanisms that govern the interaction between the immune system and a growing tumor. The multidimensional nature of these complex interactions requires a cross-disciplinary approach to capture more realistic dynamics of the essential biology. The papers presented in this volume explore these issues and the results will be of interest to graduate students and researchers in a variety of fields within mathematical and biological sciences.

Editors and Affiliations

  • Mathematics Department, The College of Saint Rose, Albany, USA

    Amina Eladdadi

  • School of Mathematics and Statistics, University of Sydney, Sydney, Australia

    Peter Kim

  • Mathematical Sciences School, Queensland University of Technology, Brisbane, Australia

    Dann Mallet

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation