Research


Find out more about my current research interests.



Tumour Growth Dynamics


According to the World Health Organisation, Cancer is the second leading cause of death responsible for 1 in 6 deaths worldwide. Understanding the nature of tumour growth and the behaviour of cancerous tissue within its microenvironment is vital. I am currently working on an individual-based forced-based model of tumour growth with specific interest in the interplay between tumour cells and both fibrous tissue and vasculature.

A Seminar Talk on this work can be found here.

Publications                                                                                                Back to Research







Gene-Regulatory Networks


Gene regulatory networks (GRNs) play an important role in maintaining cellular function by correctly timing key processes such as cell division and apoptosis. GRNs are known to exhibit oscillatory behaviour, both spatially and temporally. Mathematical modelling of GRNs has focussed on creating oscillations and recent advances have shown that the spatial movement of molecules is an essential component. I am investigating the importance of spatial terms by considering both diffusion and gene/protein production location. My findings indicate that for oscillations to occur, in a variety of real and synthetic GRNs, diffusion rates and separation distances between gene and protein production must be optimised.

A Seminar Talk on this work can be found here.

Publications                                                                                                Back to Research







Tumour-Immune Dynamics


I see a lot of potential in searching for cancer therapies which exploit the body's natural defence system. The low success rates of immunotherapies to date is mainly caused by the fact that immune-cancer interactions are not fully understood. In my research I have considered simple ODE population models of both tumour-immune and tumour-immune-virus dynamics. From theses models stability anaylsis indicates that only cancer control rather than erradication is possible. By distinguishing the roles of effector and memory cells I have determined that long-term cancer control is associated with a large number of persistent effector cells, sustained by a relatively high pool of memory cells.

Publications                                                                                                Back to Research

Publications

For more information please access my University Profile page.

Tumour Growth Dynamics Papers

[9] Computational modelling and simulation of cancer growth and migration within a 3D heterogeneous tissue: the effects of fibre and vascular structure
C.K. Macnamara, A. Caiazzo, I. Ramis-Conde, M. A. J. Chaplain, submitted.


Research Description

Gene-Regulatory Network Papers

[8] Spatial-stochastic modelling of synthetic gene regulatory networks
C.K. Macnamara, E. Mitchell, M.A.J. Chaplain, 2019, Journal of Theoretical Biology, 468, 27-44.
[7] Computational modelling of cancer development and growth: modelling at multiple scales and multiscale modelling
Z. Szymanska, M. Cytowski, E. Mitchell, C.K. Macnamara, M.A.J. Chaplain, 2018. Bulletin of Mathematical Biology, 80(5), 1366-1403.
[6] Spatio-temporal models of synthetic genetic oscillators
C.K. Macnamara, M. A. J. Chaplain, 2017. Mathematical Biosciences and Engineering, 14(1), 249-262.
[4] Diffusion driven oscillations in gene regulatory networks
C.K. Macnamara, M. A. J. Chaplain, 2016. Journal of Theoretical Biology, 407, 51-70.


Research Description



Curiculum Vitae


For further details see my full CV.

Employment


  • EPSRC PDRA Univ. St Andrews (2016-) Part of SofTMech
    [Maternity Leave Nov 2017 - Nov 2018]
  • PDRA Univ. St Andrews (2015-2016)


Education


  • Msc (Distinction), Mathematical Biology
    University of Dundee, 2013-2014
  • PhD, Solar Theory
    University of St Andrews, 2007-2011
  • M.Math (1st Class), Mathematics
    University of St Andrews, 2003-2007

Teaching


  • ELT MT1002 Shadow Course
    University of St Andrews, 2008-2015
  • Key Stages 3-5, Mathematics
    Denstone College, 2011-2013
  • MT1002 Mathematics
    University of St Andrews, 2007-2011

Key Conferences


  • SMBF 2019, Edinburgh - organiser
  • SMB 2019, Montreal - talk
  • BAMC 2019, Bath - talk
  • ECMTB 2016, Nottingham - talk/poster


Additional Duties


  • Referee for high impact journals
  • Working Group for School Staff Handbook
  • Group Website/Twitter administrator


Technical Skills


  • Analytic and numerical methods to solve both deterministic and stochastic systems
  • C++; COMSOL; Fortran 90; html; IDL; LATEX; Linux; Maple; Matlab; MS Office/Windows; Urdme; XPPAUT

School of Mathematics and Statistics
Mathematical Institute
North Haugh
St Andrews
Fife
KY16 9SS
Room: 301
Phone: 01334 463723

Email: ckm@st-andrews.ac.uk

Email:
ckm@st-andrews.ac.uk
Phone:
01334 463723

School of Mathematics and Statistics
Mathematical Institute
North Haugh
St Andrews
Fife
KY16 9SS
Room: 301