Mark AJ Chaplain
Mark AJ Chaplain
Gregory Chair of Applied Mathematics, School of Mathematics and Statistics, University of St Andrews
Verified email at - Homepage
Cited by
Cited by
Continuous and discrete mathematical models of tumor-induced angiogenesis
ARA Anderson, MAJ Chaplain
Bulletin of mathematical biology 60 (5), 857-899, 1998
Growth of nonnecrotic tumors in the presence and absence of inhibitors
HM Byrne, MAJ Chaplain
Mathematical biosciences 130 (2), 151-181, 1995
Mathematical modelling of dynamic adaptive tumour-induced angiogenesis: clinical implications and therapeutic targeting strategies
SR McDougall, ARA Anderson, MAJ Chaplain
Journal of theoretical biology 241 (3), 564-589, 2006
Mathematical modelling of tumour invasion and metastasis
ARA Anderson, MAJ Chaplain, EL Newman, RJC Steele, AM Thompson
Computational and mathematical methods in medicine 2 (2), 129-154, 2000
Multiscale modelling and nonlinear simulation of vascular tumour growth
P Macklin, S McDougall, ARA Anderson, MAJ Chaplain, V Cristini, ...
Journal of mathematical biology 58, 765-798, 2009
Mathematical modelling of flow through vascular networks: implications for tumour-induced angiogenesis and chemotherapy strategies
SR McDougall, ARA Anderson, MAJ Chaplain, JA Sherratt
Bulletin of mathematical biology 64 (4), 673-702, 2002
Mathematical modelling of cancer cell invasion of tissue: local and non-local models and the effect of adhesion
A Gerisch, MAJ Chaplain
Journal of theoretical biology 250 (4), 684-704, 2008
Growth of necrotic tumors in the presence and absence of inhibitors
HM Byrne, MAJ Chaplain
Mathematical biosciences 135 (2), 187-216, 1996
Single-cell-based models in biology and medicine
A Anderson, K Rejniak
Springer Science & Business Media, 2007
Mathematical modeling of tumor-induced angiogenesis
MAJ Chaplain, SR McDougall, ARA Anderson
Annu. Rev. Biomed. Eng. 8, 233-257, 2006
Avascular growth, angiogenesis and vascular growth in solid tumours: The mathematical modelling of the stages of tumour development
MAJ Chaplain
Mathematical and computer modelling 23 (6), 47-87, 1996
A new mathematical model for avascular tumour growth
JA Sherratt, MAJ Chaplain
Journal of mathematical biology 43 (4), 291-312, 2001
Mathematical modelling of cancer cell invasion of tissue: The role of the urokinase plasminogen activation system
MAJ Chaplain, G Lolas
Mathematical Models and Methods in Applied Sciences 15 (11), 1685-1734, 2005
Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity
MAJ Chaplain, G Lolas
Networks and Heterogeneous media 1 (3), 399-439, 2006
Spatio-temporal pattern formation on spherical surfaces: numerical simulation and application to solid tumour growth
MAJ Chaplain, M Ganesh, IG Graham
Journal of mathematical biology 42, 387-423, 2001
Modeling the influence of the E-cadherin-β-catenin pathway in cancer cell invasion: a multiscale approach
I Ramis-Conde, D Drasdo, ARA Anderson, MAJ Chaplain
Biophysical journal 95 (1), 155-165, 2008
A model mechanism for the chemotactic response of endothelial cells to tumour angiogenesis factor
MAJ Chaplain, AM Stuart
Mathematical Medicine and Biology: A Journal of the IMA 10 (3), 149-168, 1993
Quantifying the Role of Angiogenesis in Malignant Progression of Gliomas: In Silico Modeling Integrates Imaging and Histology
KR Swanson, RC Rockne, J Claridge, MA Chaplain, EC Alvord Jr, ...
Cancer research 71 (24), 7366-7375, 2011
Modelling the role of cell-cell adhesion in the growth and development of carcinomas
HM Byrne, MAJ Chaplain
Mathematical and Computer Modelling 24 (12), 1-17, 1996
A mathematical model of breast cancer development, local treatment and recurrence
H Enderling, MAJ Chaplain, ARA Anderson, JS Vaidya
Journal of theoretical biology 246 (2), 245-259, 2007
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