Review Articles

Articles (15 in this collection)

1. Could Mathematics be the Key to Unlocking the Mysteries of Multiple Sclerosis?

   Authors (first, second and last of 4)

   • Georgia Weatherley
   • Robyn P. Araujo
   • Adrianne L. Jenner

   • Content type: Review
   • Open Access
   • Published: 29 June 2023

   • Article: 75

   

2. Tumor Evolution Models of Phase-Field Type with Nonlocal Effects and Angiogenesis

   Authors

   • Marvin Fritz

   • Content type: Reviews
   • Published: 20 April 2023

   • Article: 44

   

3. Modelling Cell Invasion: A Review of What JD Murray and the Embryo Can Teach Us

   Authors (first, second and last of 6)

   • Paul M. Kulesa
   • Jennifer C. Kasemeier-Kulesa
   • Caleb Bailey

   • Content type: Special Issue: Celebrating J. D. Murray
   • Published: 17 February 2021

   • Article: 26

   

4. Trending on Social Media: Integrating Social Media into Infectious Disease Dynamics

   Authors

   • J. Sooknanan
   • D. M. G. Comissiong

   • Content type: Reviews and Tutorials
   • Published: 02 July 2020

   • Article: 86

   

5. A Current Perspective on Wound Healing and Tumour-Induced Angiogenesis

   Authors (first, second and last of 4)

   • Jennifer A. Flegg
   • Shakti N. Menon
   • D. L. Sean McElwain

   • Content type: Review
   • Published: 22 January 2020

   • Article: 23

   

6. Methods of Model Reduction for Large-Scale Biological Systems: A Survey of Current Methods and Trends

   Authors

   • Thomas J. Snowden
   • Piet H. van der Graaf
   • Marcus J. Tindall

   • Content type: Review Article
   • Open Access
   • Published: 27 June 2017

   • Pages: 1449 - 1486

   

7. Mathematical Models for Immunology: Current State of the Art and Future Research Directions

   Authors

   • Raluca Eftimie
   • Joseph J. Gillard
   • Doreen A. Cantrell

   • Content type: Review Article
   • Open Access
   • Published: 06 October 2016

   • Pages: 2091 - 2134

   

8. Mathematical Modelling of Bacterial Quorum Sensing: A Review

   Authors

   • Judith Pérez-Velázquez
   • Meltem Gölgeli
   • Rodolfo García-Contreras

   • Content type: Review Article
   • Published: 25 August 2016

   • Pages: 1585 - 1639

   

9. Patient-Specific Mathematical Neuro-Oncology: Using a Simple Proliferation and Invasion Tumor Model to Inform Clinical Practice

   Authors (first, second and last of 5)

   • Pamela R. Jackson
   • Joseph Juliano
   • Kristin R. Swanson

   • Content type: Review Paper
   • Open Access
   • Published: 21 March 2015

   • Pages: 846 - 856

   

10. Bistability, Oscillations, and Traveling Waves in Frog Egg Extracts

    Authors

    • John J. Tyson
    • Bela Novak

    • Content type: Original Article
    • Published: 04 September 2014

    • Pages: 796 - 816

    

11. A Mathematical Biologist’s Guide to Absolute and Convective Instability

    Authors

    • Jonathan A. Sherratt
    • Ayawoa S. Dagbovie
    • Frank M. Hilker

    • Content type: Review Article
    • Published: 22 November 2013

    • Pages: 1 - 26

    

12. Tendon Mechanobiology: Experimental Models Require Mathematical Underpinning

    Authors

    • Mark S. Thompson

    • Content type: Review Article
    • Published: 17 May 2013

    • Pages: 1238 - 1254

    

13. Interactions Between the Immune System and Cancer: A Brief Review of Non-spatial Mathematical Models

    Authors

    • Raluca Eftimie
    • Jonathan L. Bramson
    • David J. D. Earn

    • Content type: Review Article
    • Published: 12 March 2010

    • Pages: 2 - 32

14. Overview of Mathematical Approaches Used to Model Bacterial Chemotaxis II: Bacterial Populations

    Authors (first, second and last of 4)

    • M. J. Tindall
    • P. K. Maini
    • J. P. Armitage

    • Content type: Original Article
    • Published: 19 July 2008

    • Pages: 1570 - 1607

15. Overview of Mathematical Approaches Used to Model Bacterial Chemotaxis I: The Single Cell

    Authors (first, second and last of 5)

    • M. J. Tindall
    • S. L. Porter
    • J. P. Armitage

    • Content type: Review Article
    • Published: 19 July 2008

    • Pages: 1525 - 1569