Alexander RA Anderson, PhD

Where You Are:
Alexander RA Anderson, PhD

Senior Member

"Our goal is to develop truly integrated models of specific cancers that can have both predictive and therapeutic potential."

Office  (813) 745-6119

Education And Training
  • Postdoctoral Research Assistant, University of Dundee, 2000 - Mathematics
  • PhD, University of Dundee, 1995 - Mathematical Biology
  • Scientific Officer, Scottish Crop Research Institute, 1995
  • MSc, University of Dundee, 1992 - Mathematical Biology
  • BSc, University of Paisley, 1991 - Mathematical Sciences

Mathematical models, in general, have suffered greatly due to a lack of true experimental parameterization and derivation with the new Integrated Mathematical Oncology division at Moffitt we hope to address this issue and develop truly integrated models of specific cancers that can have both predictive and therapeutic application.

Cancer is a complex, multiscale process, in which genetic mutations occurring at a subcellular level manifest themselves as functional changes at the cellular and tissue scale. The multiscale nature of cancer requires mathematical modelling approaches of a similar nature. The Hybrid-Discrete Continuum (HDC) model developed initially in application to nematode movement (1996), and subsequently applied to tumor angiogenes (1998), invasion (2000, 2005, 2006) and Dictyostelium dynamics (2002) is one such multiscale approach. The HDC technique is both simple and powerful, allowing discrete individuals and continuous variables to interact at the scales they naturally occur. However, we are open to utilising any tool or technique be it individual, hybrid, or purely continuum based in order to better capture the complexity of cancer and address the specific aspect under consideration.

One aspect of Cancer that is currently of great interest is that of tumor cell/microenvironment interactions ? since both the immediate microenvironment (cell-cell or cell-matrix interactions) and the extended microenvironment (e.g. vascular bed, stroma) are thought to play crucial roles in both tumor progression and suppression. Much of my current work on tumor invasion examines the key role of the microenvironment as a selective force in the growth and evolution of cancer. The evolutionary dynamics of the tumor population have almost solely been considered at the genetic scale and very little work has considered the phenotype scale. My work focuses in part on the link between between these scales, the so called genotype to phenotype mapping and in part on how tumor cell phenotypes behave under different microenvironmental conditions and the impact this has on tumor morphology. An important aspect of this work is to understand how best to link, using mathematical models, the wealth of gene expression data that currently exist with the phenotypes that create the tumor. Thus creating a cell centered bridge between genetic change and clinical outcome.

  • Robertson-Tessi M, Anderson AR. Big Bang and context-driven collapse. Nat Genetics. 2015 Mar;47(3):196-197. Pubmedid: 25711865.
  • Gerlee P, Kim E, Anderson AR. Bridging scales in cancer progression: mapping genotype to phenotype using neural networks. Semin Cancer Biol. 2015 Feb;30:30-41. Pubmedid: 24830623.
  • Scott JG, Fletcher AG, Maini PK, Anderson AR, Gerlee P. A filter-flow perspective of haematogenous metastasis offers a non-genetic paradigm for personalised cancer therapy. Eur J Cancer. 2014 Nov;50(17):3068-3075. Pubmedid: 25306188. Pmcid: PMC4258103.
  • Rebecca VW, Massaro RR, Fedorenko IV, Sondak VK, Anderson AR, Kim E, Amavaradi RK, Maria-Engler SS, Messina JL, Gibney GT, Kudchadkar RR, Smalley KS. Inhibition of autophagy enhances the effects of the AKT inhibitor MK-2206 when combined with paclitaxel and carboplatin in BRAF wild-type melanoma. Pigment Cell Melanoma Res. 2014 May;27(3):465-478. Pubmedid: 24490764. Pmcid: PMC3988257.
  • Scott JG, Hjelmeland AB, Chinnaiyan P, Anderson AR, Basanta D. Microenvironmental variables must influence intrinsic phenotypic parameters of cancer stem cells to affect tumourigenicity. PLoS Comput Biol. 2014 Jan;10(1):e1003433. Pubmedid: 24453958.
  • Gallaher J, Babu A, Plevritis S, Anderson AR. Bridging population and tissue scale tumor dynamics: a new paradigm for understanding differences in tumor growth and metastatic disease. Cancer Res. 2014 Jan;74(2):426-435. Pubmedid: 24408919. Pmcid: PMC3913019.
  • Kim E, Rebecca VW, Fedorenko IV, Messina JL, Mathew R, Maria-Engler SS, Basanta D, Smalley KS, Anderson AR. Senescent fibroblasts in melanoma initiation and progression: an integrated theoretical, experimental, and clinical approach. Cancer Res. 2013 Dec;73(23):6874-6885. Pubmedid: 24080279. Pmcid: PMC3926439.
  • Gallaher J, Anderson AR. Evolution of intratumoral phenotypic heterogeneity: the role of trait inheritance. Interface Focus. 2013 Aug;3(4):20130016. Pubmedid: 24511380. Pmcid: PMC3915835.
  • Basanta D, Anderson AR. Exploiting ecological principles to better understand cancer progression and treatment. Interface Focus. 2013 Aug;3(4):20130020. Pubmedid: 24511383. Pmcid: PMC3915838.
  • Scott JG, Basanta D, Anderson AR, Gerlee P. A mathematical model of tumour self-seeding reveals secondary metastatic deposits as drivers of primary tumour growth. J R Soc Interface. 2013 May;10(82):20130011. Pubmedid: 23427099. Pmcid: PMC3627086.
  • Hawkins-Daarud A, Rockne RC, Anderson AR, Swanson KR. Modeling Tumor-Associated Edema in Gliomas during Anti-Angiogenic Therapy and Its Impact on Imageable Tumor. Front Oncol. 2013;3:66. Pubmedid: 23577324. Pmcid: PMC3616256.
  • Scott J, Kuhn P, Anderson AR. Unifying metastasis--integrating intravasation, circulation and end-organ colonization. Nat Rev Cancer. 2012 Jul;12(7):445-446. Pubmedid: 22912952.
  • Basanta D, Gatenby RA, Anderson AR. Exploiting evolution to treat drug resistance: combination therapy and the double bind. Mol Pharm. 2012 Apr;9(4):914-921. Pubmedid: 22369188. Pmcid: PMC3325107.
  • Rejniak KA, Anderson AR. State of the art in computational modelling of cancer. Math Med Biol. 2012 Mar;29(1):1-2. Pubmedid: 22200587.
  • Rejniak KA, Quaranta V, Anderson AR. Computational investigation of intrinsic and extrinsic mechanisms underlying the formation of carcinoma. Math Med Biol. 2012 Mar;29(1):67-84. Pubmedid: 21106672. Pmcid: PMC3499074.
  • Gu S, Chakraborty G, Champley K, Alessio AM, Claridge J, Rockne R, Muzi M, Krohn KA, Spence AM, Alvord EC, Anderson AR, Kinahan PE, Swanson KR. Applying a patient-specific bio-mathematical model of glioma growth to develop virtual [18F]-FMISO-PET images. Math Med Biol. 2012 Mar;29(1):31-48. Pubmedid: 21562060. Pmcid: PMC4104689.
  • Kam Y, Rejniak KA, Anderson AR. Cellular modeling of cancer invasion: integration of in silico and in vitro approaches. J Cell Physiol. 2012 Feb;227(2):431-438. Pubmedid: 21465465. Pmcid: PMC3687536.
  • Basanta D, Scott JG, Fishman MN, Ayala G, Hayward SW, Anderson AR. Investigating prostate cancer tumour-stroma interactions: clinical and biological insights from an evolutionary game. Brit J Cancer. 2012 Jan;106(1):174-181. Pubmedid: 22134510. Pmcid: PMC3251863.
  • Scott JG, Basanta D, Chinnaiyan P, Canoll P, Swanson KR, Anderson AR. Production of 2-hydroxyglutarate by isocitrate dehydrogenase 1-mutated gliomas: an evolutionary alternative to the Warburg shift?. Neurooncol. 2011 Dec;13(12):1262-1264. Pubmedid: 21784755. Pmcid: PMC3223086.
  • Swanson KR, Rockne RC, Claridge J, Chaplain MA, Alvord EC, Anderson AR. Quantifying the role of angiogenesis in malignant progression of gliomas: in silico modeling integrates imaging and histology. Cancer Res. 2011 Dec;71(24):7366-7375. Pubmedid: 21900399. Pmcid: PMC3398690.
  • Flach EH, Rebecca VW, Herlyn M, Smalley KS, Anderson AR. Fibroblasts contribute to melanoma tumor growth and drug resistance. Mol Pharm. 2011 Dec;8(6):2039-2049. Pubmedid: 22067046. Pmcid: PMC3235959.
  • Gerlee P, Basanta D, Anderson AR. Evolving homeostatic tissue using genetic algorithms. Prog Biophys Mol Biol. 2011 Aug;106(2):414-425. Pubmedid: 21419156. Pmcid: PMC3812677.
  • Paraiso KH, Xiang Y, Rebecca VW, Abel EV, Chen YA, Munko AC, Wood E, Fedorenko IV, Sondak VK, Anderson AR, Ribas A, Palma MD, Nathanson KL, Koomen JM, Messina JL, Smalley KS. PTEN loss confers BRAF inhibitor resistance to melanoma cells through the suppression of BIM expression. Cancer Res. 2011 Apr;71(7):2750-2760. Pubmedid: 21317224. Pmcid: PMC3070772.
  • Silva A, Anderson AR, Gatenby R. A multiscale model of the bone marrow and hematopoiesis. Math Biosci Eng. 2011 Apr;8(2):643-658. Pubmedid: 21631151. Pmcid: PMC3754791.
  • Basanta D, Scott JG, Rockne R, Swanson KR, Anderson AR. The role of IDH1 mutated tumour cells in secondary glioblastomas: an evolutionary game theoretical view. Phys Biol. 2011 Feb;8(1):015016. Pubmedid: 21301070. Pmcid: PMC3166886.
  • Rejniak KA, Wang SE, Bryce NS, Chang H, Parvin B, Jourquin J, Estrada L, Gray JW, Arteaga CL, Weaver AM, Quaranta V, Anderson AR. Linking changes in epithelial morphogenesis to cancer mutations using computational modeling. PLoS Comput Biol. 2010 Dec;6(8). Pubmedid: 20865159. Pmcid: PMC2928778.
  • Gillies RJ, Anderson AR, Gatenby RA, Morse DL. The biology underlying molecular imaging in oncology: from genome to anatome and back again. Clin Radiol. 2010 Jul;65(7):517-521. Pubmedid: 20541651. Pmcid: PMC4009364.
  • Gerlee P, Anderson AR. Diffusion-limited tumour growth: simulations and analysis. Math Biosci Eng. 2010 Apr;7(2):385-400. Pubmedid: 20462295. Pmcid: PMC3812687.
  • Strand DW, Franco OE, Basanta D, Anderson AR, Hayward SW. Perspectives on tissue interactions in development and disease. Curr Mol Med. 2010 Feb;10(1):95-112. Pubmedid: 20205682. Pmcid: PMC4195241.
  • Gerlee P, Lundh T, Zhang B, Anderson AR. Gene divergence and pathway duplication in the metabolic network of yeast and digital organisms. J R Soc Interface. 2010 Jan;6(41):1233-1245. Pubmedid: 19324678. Pmcid: PMC2817152.
  • Enderling H, Anderson AR, Chaplain MA, Beheshti A, Hlatky L, Hahnfeldt P. Paradoxical dependencies of tumor dormancy and progression on basic cell kinetics. Cancer Res. 2009 Nov;69(22):8814-8821. Pubmedid: 19887613.
  • Anderson AR, Hassanein M, Branch KM, Lu J, Lobdell NA, Maier J, Basanta D, Weidow B, Narasanna A, Arteaga CL, Reynolds AB, Quaranta V, Estrada L, Weaver AM. Microenvironmental independence associated with tumor progression. Cancer Res. 2009 Nov;69(22):8797-8806. Pubmedid: 19887618. Pmcid: PMC2783510.
  • Basanta D, Strand DW, Lukner RB, Franco OE, Cliffel DE, Ayala GE, Hayward SW, Anderson AR. The role of transforming growth factor-beta-mediated tumor-stroma interactions in prostate cancer progression: an integrative approach. Cancer Res. 2009 Sep;69(17):7111-7120. Pubmedid: 19706777. Pmcid: PMC2748342.
  • Gerlee P, Anderson AR. Evolution of cell motility in an individual-based model of tumour growth. J Theor Biol. 2009 Jul;259(1):67-83. Pubmedid: 19285513. Pmcid: PMC2706369.
  • Hinow P, Gerlee P, McCawley LJ, Quaranta V, Ciobanu M, Wang S, Graham JM, Ayati BP, Claridge J, Swanson KR, Loveless M, Anderson AR. A spatial model of tumor-host interaction: application of chemotherapy. Math Biosci Eng. 2009 Jul;6(3):521-546. Pubmedid: 19566124. Pmcid: PMC2981353.
  • Poplawski NJ, Agero U, Gens JS, Swat M, Glazier JA, Anderson AR. Front instabilities and invasiveness of simulated avascular tumors. Bull Math Biol. 2009 Jul;71(5):1189-1227. Pubmedid: 19234746. Pmcid: PMC2739624.
  • Macklin P, McDougall S, Anderson AR, Chaplain MA, Cristini V, Lowengrub J. Multiscale modelling and nonlinear simulation of vascular tumour growth. J Math Biol. 2009 Apr;58(4-5):765-798. Pubmedid: 18781303. Pmcid: PMC3037282.
  • Anderson AR, Rejniak KA, Gerlee P, Quaranta V. Microenvironment driven invasion: a multiscale multimodel investigation. J Math Biol. 2009 Mar;58(4-5):579-624. Pubmedid: 18839176.
  • Gerlee P, Anderson AR. Modelling evolutionary cell behaviour using neural networks: application to tumour growth. Biosystems. 2009 Feb;95(2):166-174. Pubmedid: 19026711. Pmcid: PMC2668102.
  • Ramis-Conde I, Chaplain MA, Anderson AR, Drasdo D. Multi-scale modelling of cancer cell intravasation: the role of cadherins in metastasis. Phys Biol. 2009;6(1):016008-. Pubmedid: 19321920.
  • Kam Y, Karperien A, Weidow B, Estrada L, Anderson AR, Quaranta V. Nest expansion assay: a cancer systems biology approach to in vitro invasion measurements. BMC Res Notes. 2009;2:130-. Pubmedid: 19594934. Pmcid: PMC2716356.
  • Quaranta V, Rejniak KA, Gerlee P, Anderson AR. Invasion emerges from cancer cell adaptation to competitive microenvironments: quantitative predictions from multiscale mathematical models. Semin Cancer Biol. 2008 Oct;18(5):338-348. Pubmedid: 18524624. Pmcid: PMC3789515.
  • Enderling H, Alexander NR, Clark ES, Branch KM, Estrada L, Crooke C, JourquinJ, Lobdell N, Zaman MH, Guelcher SA, Anderson AR, Weaver AM. Dependence of invadopodia function on collagen fiber spacing and cross-linking: computational modeling and experimental evidence. Biophys J. 2008 Sep;95(5):2203-2218. Pubmedid: 18515372.
  • Collinge JE, Anderson AR, Weeks AR, Johnson TK, McKechnie SW. Latitudinal and cold-tolerance variation associate with DNA repeat-number variation in the hsr-omega RNA gene of Drosophila melanogaster. Heredity (Edinb). 2008 Sep;101(3):260-270. Pubmedid: 18560441.
  • Rejniak KA, Anderson AR. A computational study of the development of epithelial acini: II. Necessary conditions for structure and lumen stability. Bull Math Biol. 2008 Jul;70(5):1450-1479. Pubmedid: 18401665. Pmcid: PMC3812684.
  • Ramis-Conde I, Drasdo D, Anderson AR, Chaplain MA. Modeling the influence of the E-cadherin-beta-catenin pathway in cancer cell invasion: a multiscale approach. Biophys J. 2008 Jul;95(1):155-165. Pubmedid: 18339758. Pmcid: PMC2426623.
  • Rejniak K, Anderson A. A computational study of the development of epithelial acini: I. Sufficient conditions for the formation of a hollow structure. Bull Math Biol. 2008 Apr;70(3):677-712. Pubmedid: 18188652. Pmcid: PMC3812693.
  • Anderson A, Quaranta V. Integrative mathematical oncology. Nat Rev Cancer. 2008 Mar;8(3):227-234. Pubmedid: 18273038.
  • Gerlee P, Anderson AR. A hybrid cellular automaton model of clonal evolution in cancer: the emergence of the glycolytic phenotype. J Theor Biol. 2008 Feb;250(4):705-722. Pubmedid: 18068192. Pmcid: PMC2846650.
  • Georgescu W, Jourquin J, Estrada L, Anderson AR, Quaranta V, Wikswo JP. Model-controlled hydrodynamic focusing to generate multiple overlapping gradients of surface-immobilized proteins in microfluidic devices. Lab Chip. 2008 Feb;8(2):238-244. Pubmedid: 18231661. Pmcid: PMC4357342.
  • Ramis-Conde I, Chaplain M, Anderson A. Mathematical modelling of cancer cell invasion of tissue. Math Comput Modell. 2008;47:533-545.
  • Pearce I, Chaplain M, Schofield P, Anderson A, Hubbard S. Chemotaxis-induced spatio-temporal heterogeneity in multi-species host-parasitoid systems. J Math Biol. 2007 Sep;55(3):365-388. Pubmedid: 17435998.
  • Gerlee P, Anderson AR. An evolutionary hybrid cellular automaton model of solid tumour growth. J Theor Biol. 2007 Jun;246(4):583-603. Pubmedid: 17374383. Pmcid: PMC2652069.
  • Enderling H, Chaplain M, Anderson A, Vaidya J. A mathematical model of breast cancer development, local treatment and recurrence. J Theor Biol. 2007 May;246(2):245-259. Pubmedid: 17289081.
  • Gerlee P, Anderson A. Stability analysis of a hybrid cellular automaton model of cell colony growth. Phys Rev E Stat Nonlin Soft Matter Phys. 2007 May;75(5 Pt 1):051911-051911. Pubmedid: 17677102.
  • Anderson A, Rejniak K, Gerlee P, Quaranta V. Modelling of cancer growth, evolution and invasion: bridging scales and models. Math Mod Nat Phenom. 2007;2:1-29.
  • Anderson AR, Weaver AM, Cummings PT, Quaranta V. Tumor morphology and phenotypic evolution driven by selective pressure from the microenvironment. Cell. 2006 Dec;127(5):905-915. Pubmedid: 17129778.
  • Enderling H, Anderson AR, Chaplain MA, Rowe GW. Visualisation of the numerical solution of partial differential equation systems in three space dimensions and its importance for mathematical models in biology. Math Biosci Eng. 2006 Oct;3(4):571-582. Pubmedid: 20361833.
  • Rako L, Anderson A, Sgro C, Stocker A, Hoffmann A. The association between inversion In(3R)Payne and clinally varying traits in Drosophila melanogaster. Genetica. 2006 Sep;128(1-3):373-384. Pubmedid: 17028965.
  • McDougall S, Anderson A, Chaplain M. Mathematical modelling of dynamic adaptive tumour-induced angiogenesis: clinical implications and therapeutic targeting strategies. J Theor Biol. 2006 Aug;241(3):564-589. Pubmedid: 16487543.
  • Pearce I, Chaplain M, Schofield P, Anderson A, Hubbard S. Modelling the spatio-temporal dynamics of multi-species host-parasitoid interactions: heterogeneous patterns and ecological implications. J Theor Biol. 2006 Aug;241(4):876-886. Pubmedid: 16546216.
  • Enderling H, Anderson A, Chaplain M, Munro A, Vaidya J. Mathematical modelling of radiotherapy strategies for early breast cancer. J Theor Biol. 2006 Jul;241(1):158-171. Pubmedid: 16386275.
  • Schor S, Ellis I, Harada K, Motegi K, Anderson A, Chaplain M, Keatch R, Schor A. A novel 'sandwich' assay for quantifying chemo-regulated cell migration within 3-dimensional matrices: wound healing cytokines exhibit distinct motogenic activities compared to the transmembrane assay. Cell Motil Cytoskeleton. 2006 May;63(5):287-300. Pubmedid: 16528704.
  • Enderling H, Anderson A, Chaplain M, Rowe G. Visualisation of the numerical solution of partial differential equation systems in three space dimensions and its importance for mathematical models in biology. Math Biosci Eng. 2006;3:571-582.
  • Chaplain M, McDougall S, Anderson A. Mathematical modeling of tumor-induced angiogenesis. Annu Rev Biomed Eng. 2006;8:233-257. Pubmedid: 16834556.
  • Stepahnou A, McDougall S, Anderson A, Chaplain M. Mathematical modelling of dynamic adaptive tumour-induced angiogenesis: clinical implications and therapeutic targeting strategies. Math Comput Modell. 2006;44:96123-96123.
  • Quaranta V, Weaver A, Cummings P, Anderson A. Mathematical modeling of cancer: the future of prognosis and treatment. Clin Chim Acta. 2005 Jul;357(2):173-179. Pubmedid: 15907826.
  • Anderson A. A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion. Math Med Biol. 2005 Jun;22(2):163-186. Pubmedid: 15781426.
  • Anderson A, Vasiev B. An individual based model of rippling movement in a myxobacteria population. J Theor Biol. 2005 Jun;234(3):341-349. Pubmedid: 15784269.
  • Ayati B, Webb G, Anderson A. Computational methods and results for structured multiscale models of tumor invasion. Multiscale Mod Sim. 2005;5:1-20.
  • Stephanou A, McDougall S, Anderson A, Chaplain M. Mathematical modelling of flow through in 2D and 3D vascular networks: applications to anti-angiogenic and chemotherapeutic drug strategies. Math Comp Mod. 2004;41:1137-1156.
  • Anderson AR, Collinge JE, Hoffmann AA, Kellett M, McKechnie SW. Thermal tolerance trade-offs associated with the right arm of chromosome 3 and marked by the hsr-omega gene in Drosophila melanogaster. Heredity (Edinb). 2003 Feb;90(2):195-202. Pubmedid: 12634827.
  • McDougall S, Anderson A, Chaplain M, Sherratt J. Mathematical modelling of flow through vascular networks: implications for tumour-induced angiogenesis and chemotherapy strategies. Bull Math Biol. 2002 Jul;64(4):673-702. Pubmedid: 12216417.
  • Farnwsorth K, Anderson A. How simple grazing rules lead to reaction diffusion systems and their consequence for vegetation community dynamics. Oikos. 2001;95:15-24.
  • Anderson A, Chaplain M, Garcia-Reimbert C, Vargas C. A gradient-driven model of anti-angiogensis. Math Comp Mod. 2000;32:1141-1152.
  • Pitcairn W, Chaplain M, Weijer C, Anderson A. A discrete-continuum mathematical model of Dictyostelium aggregation. Ecmtb. 2000;2:6-11.
  • Anderson A, Chaplain M, Newman E, Steele R, Thompson A. Methematical modelling of tumour invasion and metastasis. J Theor Med. 2000;2:129-154.
  • Davidson F, Anderson A, Chaplain M. Steady state solutions of a generic model for the formation of capillary networks. Appl Math Letters. 2000;13:127-132.
  • Baum M, Chaplain M, Anderson A, Douek M, Vaidya J. Does breast cancer exist in a state of chaos. Eur J Cancer. 1999 Jun;35(6):886-891. Pubmedid: 10533467.
  • Sleeman B, Anderson A, Chaplain M. A mathematical analysis of a model for capillary network formation in the absence of endothelial cell proliferation. Appl Math Letters. 1999;12:121-127.
  • Anderson A, Chaplain M. Continuous and discrete mathematical models of tumor-induced angiogenesis. Bull Math Biol. 1998 Sep;60(5):857-899. Pubmedid: 9739618 .
  • Chaplain M, Anderson A. Dynamic chemotactic-haptotactic pattern formation associated with tumour-induced angiogenesis. Ecole De Biologie Theorique. 1998;3:213-235.
  • Anderson A, Chaplain M. A mathematical model for capillary network formation in the absence of endothelial cell proliferations. Appl Math Letters. 1998;11:109-114.
  • Anderson AR, Young IM, Sleeman B, Griffiths B, Robertson W. Sensing of chemical gradients in a structurally heterogeneous environment by nematodes: I. experiements. Fundam App Nematol. 1997;20:157-164.
  • Anderson A, Sleeman B, Young I, Griffiths B. Sensing of chemical gradients in a structurally heterogeneous environment by nematodes: II. Theory. Fundam App Nematol. 1997;20:165-172.
  • Hobbs GD, Anderson AR, Greene TJ, Yealy DM. Comparison of hyperbaric oxygen and dapsone therapy for loxosceles envenomation. Acad Emerg Med. 1996 Aug;3(8):758-761. Pubmedid: 8853670.
  • Chaplain M, Anderson A. Mathematical modelling, simulation and prediction of tumour-induced angiogenesis. Invasion Metastasis. 1996;16(4-5):222-234. Pubmedid: 9311387 .
  • Anderson AR, Sleeman B. Wave front propagation and its failure in coupled systems of discrete excitable cells modelled by FitzHugh-Nagumo dynamics. Int J Bif Chaos. 1995;5:63-74.
  • Rejniak KA, Anderson AR. Hybrid models of tumor growth. Wiley Interdiscip Rev Syst Biol Med. 3(1):115-125. Pubmedid: 21064037. Pmcid: PMC3057876.
  • Chaplain M, Anderson A. Mathematical modelling of tissue invasion. In: Bellomo N, Preziosi L, eds. Cancer Modelling and Simulation. London, UK: CRC Press; 2003;269-297.
  • Anderson A. A hybrid discrete-continuum technique for individual based migration models. In: Alt W, Chaplain M, Griebel M, Lenz J, et al, eds. Polymer and Cell Dynamics. Basel, Switzerland: Birkhauser; 2003;251-259.
  • Chaplain M, Anderson A. Modelling the growth and form of capillary networks. In: Chaplain M, Singh G, McLachlan J, et al, eds. On Growth and Form (Spatio-Temporal Patterning in Biology. Chichester, UK: Wiley; 1999;225-250.
  • Chaplain M, Anderson A. Mathematical modelling of tumour-induced angiogenesis: network growth and structure. In: Kirsch M, Black P, eds. Angiogensis in Brain Tumours. Boston, MA: Kluwer; 2004;51-75.
  • Anderson A. Solid tumour growth: the importance of adhesion. In: Deutsch A, Falcke M, Howard J, Zimmermann W, et al, eds. Function and regulation of cellular systems: experiments and models. Basel, Switzerland: Birkhauser; 2004;379-389.
  • Anderson A, Pitcairn A. Application of Hybrid Discrete-Continuum Technique. In: Alt W, Chaplain M, Griebel M, Lenz J, et al, eds. Polymer and Cell Dynamics. Basel, Switzerland: Birkhauser; 2003;267-279.
  • Anderson A. The effects of cell adhesion on solid tumour geometry. In: Noji S, Ueno N, Sekimura T, Maini P, et al, eds. Morphogenesis and Pattern Formation in Biological Systems. Tokyo, Japan: Springer-Verlag; 2003;315-325.
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