Current Preprints (updated May 2017)

  1. Jill A. Gallaher, Pedro M. Enriquez-Navas, Kimberly A. Luddy, Robert A. Gatenby, Alexander R. A. Anderson. (2017) Adaptive Therapy For Heterogeneous Cancer: Exploiting Space And Trade-Offs In Drug Scheduling. http://dx.doi.org/10.1101/041855.
  2. Samuel H. Friedman, Alexander R.A. Anderson, David M. Bortz, Alexander G. Fletcher, Hermann B. Frieboes, Ahmadreza Ghaffarizadeh, David Robert Grimes, Andrea Hawkins-Daarud, Stefan Hoehme, Edwin F. Juarez, Carl Kesselman, Roeland M.H. Merks, Shannon M. Mumenthaler, Paul K. Newton, Kerri-Ann Norton, Rishi Rawat, Russell C. Rockne, Daniel Ruderman, Jacob Scott, Suzanne S. Sindi, Jessica L. Sparks, Kristin Swanson, David B. Agus, Paul Macklin. (2016) MultiCellDS: a standard and a community for sharing multicellular data. http://dx.doi.org/10.1101/090696.
  3. Eunjung Kim, Alexander Anderson. (2016) Dissecting resistance mechanisms in melanoma combination therapy. http://dx.doi.org/10.1101/041855.
  4. Jill Gallaher and Alexander Anderson. (2016) The role of contact inhibition in intratumoral heterogeneity: An off-lattice individual based model http://dx.doi.org/10.1101/036467.
  5. Mark Robertson-Tessi, Robert J Gillies, Robert A Gatenby, Alexander RA Anderson. (2016) Non-linear tumor-immune interactions arising from spatial metabolic heterogeneity. http://dx.doi.org/10.1101/038273.
  6. Philip Gerlee, David Basanta, Alexander R.A. Anderson. (2015) The impact of cellular characteristics on the evolution of shape homeostasis arXiv:1512.02474 [q-bio.TO].

Refereed Journal Publications (updated April 2017)

  1. Arig Ibrahim-Hashim, Mark Robertson-Tessi, Pedro M. Enriquez-Navas, Mehdi Damaghi,Yoganand Balagurunathan, Jonathan W. Wojtkowiak,Shonagh Russell, Yoonseok Kam, Mark C. Lloyd, Marilyn Bui, Joel Brown, Alexander R. A. Anderson, Robert J Gillies and Robert A. Gatenby. (2017) Defining cancer subpopulations by adaptive strategies rather than molecular properties provides novel insights into intratumoral evolution. Cancer Research, 77(9): 2242-2254. doi:10.1158/0008-5472.CAN-16-2844.
  2. David Basanta, Alexander Anderson. (2017) Homeostasis Back and Forth: An Eco-Evolutionary Perspective of Cancer. CSH Perspectives in Medicine, Published in Advance March 13, 2017, doi: 10.1101/cshperspect.a028332.
  3. Daniel Nichol, Mark Robertson-Tessi, Peter Jeavons, Alexander RA Anderson. (2016) Stochasticity in the Genotype-Phenotype Map: Implications for the Robustness and Persistence of Bet-Hedging. Genetics, Dec 1, 204(4):1523-1539. DOI: 10.1534/genetics.116.193474.
  4. Noemi Picco, Robert Gatenby, Alexander Anderson. (2016) Niche-Driven Stem Cell Plasticity and its Role in Cancer Progression. IEEE Trans. Biomed. Eng., March 2017; 64 (3): 528537. DOI:10.1109/TBME.2016.2607183. 
  5. Eunjung Kim, Vito W. Rebecca, Keiran S.M. Smalley, Alexander R.A. Anderson. (2016) Phase i trials in melanoma: A framework to translate preclinical findings to the clinic. http://dx.doi.org/10.1016/j.ejca.2016.07.024. Eur. J. Cancer, Nov 2016; 67:213222.
  6. Werner B, Scott JG, Sottoriva A, Anderson AR, Traulsen A, Altrock PM. (2016) The cancer stem cell fraction in hierarchically organized tumors can be estimated using mathematical modeling and patient-specific treatment trajectories. Cancer Res., OnlineFirst February 1, 2016; doi:10.1158/0008-5472.CAN-15-2069.
  7. Scott JG, Fletcher AG, Anderson AR, Maini PK. (2015) Spatial metrics of tumour vascular organisation predict radiation efficacy in a computational model. PLoS Comput Biol, Jan 22; 12(1): e1004712. doi:10.1371/journal.pcbi.1004712.
  8. Nichol D, Jeavons P, Fletcher AG, Bonomo RA, Maini PK, Paul JL, Gatenby RA, Anderson AR, Scott JG. (2015) Steering Evolution with Sequential Therapy to Prevent the Emergence of Bacterial Antibiotic Resistance. PLoS Comput Biol, Sep 11;11(9):e1004493, doi: 10.1371/journal.pcbi.1004493.
  9. Gerlee P. and Anderson AR. (2015) The evolution of carrying capacity in constrained and expanding tumour cell populations. Phys. Biol. 12 056001, doi:10.1088/1478-3975/12/5/056001.
  10. Hawkins-Daarud A, Rockne R, Corwin D, Anderson AR, Kinahan P, Swanson KR. (2015) In Silico Analysis Suggests Differential Response to Bevacizumab and Radiation Combination Therapy in Newly Diagnosed Glioblastoma. Roy. Soc. Interface, Aug 6;12(109). pii: 20150388, doi: 10.1098/rsif.2015.0388.
  11. Robertson-Tessia M , Gillies RJ, Gatenby RA, Anderson AR. (2015) Impact of metabolic heterogeneity on tumor growth, invasion, and treatment outcomes. Cancer Res. Apr 15;75(8):1567-79. doi: 10.1158/0008-5472.CAN-14-1428.
  12. Robertson-Tessia M and Anderson AR. (2015) Big Bang and context-driven collapse, Nature Genetics 47, 196–197,doi:10.1038/ng.3231.
  13. Scott JG, Fletcher AG, Maini PK, Anderson AR, Gerlee P. (2014) A filter-flow perspective of hematogenous metastasis offers a non-genetic paradigm for personalized cancer therapy, European Journal Of Cancer, doi: 10.1016/j.ejca.2014.08.019.
  14. Gerlee P, Kim E, Anderson ARA. (2014) Bridging scales in cancer progression: Mapping genotype to phenotype using neural networks. Semin Cancer Biol. Accepted. doi: 10.1016/j.semcancer.2014.04.013.
  15. Rebecca VW, Massaro R, Fedorenko IV, Gibney GT, Sondak VK, Anderson AR, Kim E, Amavaradi RK, Jin S, Maria-Engler SS, Messina JL, Gibney GT, Kudchadkar RR, Smalley KS (2014) 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 and Melanoma Research. Published online ahead of print February 3, 2014. DOI 10.1111/pcmr.12227.
  16. Scott JG, Hjelmeland AB, Chinnaiyan P, Anderson ARA, Basanta D (2014) Microenvironmental Variables Must Influence Intrinsic Phenotypic Parameters of Cancer Stem Cells to Affect Tumourigenicity. PLoS Comput Biol 10(1): e1003433. doi:10.1371/journal.pcbi.1003433.
  17. Gallaher J, Babu A, Plevritis S and Anderson ARA. (2014) Bridging population and tissue scale tumor dynamics: A new paradigm for understanding differences in tumor growth and metastatic disease. Cancer Res., Published OnlineFirst January 9, 2014. doi: 10.1158/0008-5472.CAN-13-0759.
  18. Kim E, Rebecca VW, Fedorenko, Messina JL, Mathew R, Maria-Engler SS, Basanta D, Smalley KS, Anderson ARA. (2013) Senescent fibroblasts in melanoma initiation and progression: an integrated theoretical, experimental, and clinical approach. Cancer Res. Published OnlineFirst September 30, 2013. doi:10.1158/0008-5472.CAN-13-1720.
  19. Basanta D, Anderson ARA. (2013) Exploiting ecological principles to better understand cancer progression and treatment. Interface Focus 3, 20130020, doi:10.1098/rsfs.2013.0020.
  20. Gallaher J, Anderson ARA. (2013) Evolution of intratumoral phenotypic heterogeneity: the role of trait inheritance. Interface Focus 3, 20130016, doi:10.1098/rsfs.2013.0016.
  21. Anderson ARA, Tomlin CJ, Couch J, and Gallahan D. (2013) Mathematics of the Integrative Cancer Biology Program. Interface Focus 3, 20130023, doi:10.1098/rsfs.2013.0023.
  22. Hawkins-Daarud A, Russell RC, Anderson AR and Swanson KR. (2013) Modeling tumor-associated edema in gliomas during anti-angiogenic therapy and its impact on imageable tumor. Front. Oncol. 3:66. doi: 10.3389/fonc.2013.00066.
  23. Scott JG, Basanta D, Anderson AR, Gerlee P. (2013) A mathematical model of tumor self-seeding reveals secondary metastatic deposits as drivers of primary tumor growth. J. R. Soc. Interface, 10(82), doi: 10.1098/rsif.2013.001.
  24. Scott JG, Kuhn P, Anderson AR. (2012) Unifying metastasis — integrating intravasation, circulation and end-organ colonization. Nat Rev Cancer. Published online 24 May 2012. doi:10.1038/nrc3287.
  25. Basanta D, Gatenby RA, Anderson AR. (2012) Exploiting evolution to treat drug resistance: Combination therapy and the double bind. Mol Pharm. [Epub ahead of print] PubMed PMID: 22369188.
  26. Rejniak K.A. and Anderson A.R.A. (2011) State of the art in computational modelling of cancer. Math Med Biol. [Epub ahead of print] PubMed PMID: 22200587.
  27. Basanta D, Scott JG, Fishman MN, Ayala G, Hayward SW, Anderson AR. (2011) Investigating prostate cancer tumour-stroma interactions - clinical and biological insights from an evolutionary game. Br J Cancer. doi: 10.1038/bjc.2011.517. [Epub ahead of print] PubMed PMID: 22134510.
  28. Flach EH, Rebecca VW, Herlyn M, Smalley KS, Anderson AR. (2011) Fibroblasts Contribute to Melanoma Tumor Growth and Drug Resistance. Mol Pharm. [Epub ahead of print] PubMed PMID: 22067046.
  29. Swanson KR, Rockne RC, Claridge J, Chaplain MA, Alvord EC, Anderson AR. (2011) Quantifying the role of angiogenesis in malignant progression of gliomas: In silico modeling integrates imaging and histology. Cancer Res. [Epub ahead of print] PubMed PMID: 2190039.
  30. Scott JG, Basanta D, Chinnaiyan P, Canoll P, Swanson KR, Anderson AR. (2011) Production of 2-hydroxyglutarate by isocitrate dehydrogenase 1-mutated gliomas: an evolutionary alternative to the Warburg shift? Neuro Oncol. [Epub ahead of print] PubMed PMID: 21784755.
  31. Gu S, Chakraborty G, Champley K, Alessio AM, Claridge J, Rockne R, Muzi M, Krohn KA, Spence AM, Alvord EC Jr, Anderson AR, Kinahan PE, Swanson KR. (2011) Applying a patient-specific bio-mathematical model of glioma growth to develop virtual [18F]-FMISO-PET images. Math Med Biol. [Epub ahead of print] PubMed PMID: 21562060.
  32. Gerlee P, Basanta D, Anderson AR. (2011) Evolving homeostatic tissue using genetic algorithms. Prog Biophys Mol Biol. 2011 Mar 22. [Epub ahead of print] PubMed PMID: 21419156.
  33. Kam Y, Rejniak KA, Anderson AR. (2011) Cellular modeling of cancer invasion: Integration of in silico and in vitro approaches. J Cell Physiol. 2011 Apr 4. doi: 10.1002/jcp.22766. [Epub ahead of print] PubMed PMID: 21465465.
  34. Silva A., Anderson A. R. A. and Gatenby R. (2011) A multiscale model of the bone marrow and hematopoiesis. Math Biosci Eng. 8 (2): 645-660.
  35. Paraiso KH, Xiang Y, Rebecca VW, Abel EV, Chen A, Munko AC, Wood E, Fedorenko IV, Sondak VK, Anderson AR, Ribas A, Dalla Palma M, Nathanson KL, Koomen JM, Messina JL, Smalley KS. (2011) PTEN loss confers BRAF inhibitor resistance to melanoma cells through the suppression of BIM expression. Cancer Res. 2011 Feb 11. [Epub ahead of print] PubMed PMID: 21317224.
  36. Basanta D, Scott JG, Rockne R, Swanson KR, Anderson AR. (2011) The role of IDH1 mutated tumour cells in secondary glioblastomas: an evolutionary game theoretical view. Phys Biol. 8:015016. PubMed PMID: 21301070.
  37. Rejniak K. A., Quaranta V., Anderson A.R.A. (2010) Computational investigation of intrinsic and extrinsic mechanisms underlying the formation of carcinoma. IMA Math. Med. Biol. PubMed PMID: 21106672. doi:10.1093/imammb/dqq021.
  38. Rejniak KA, Wang SE, Bryce NS, Chang H, Parvin B, et al. (2010) Linking Changes in Epithelial Morphogenesis to Cancer Mutations Using Computational Modeling. PLoS Comput Biol 6(8): e1000900. doi:10.1371.
  39. Rejniak K.A. and Anderson A.R.A. Multiscale hybrid models of tumor growth. Wiley Interdisciplinary Reviews: System Biology and Medicine. 2010. Available on: http://dx.doi.org/10.1002/wsbm.102.
  40. Gillies R.J., Anderson A.R.A., Gatenby R.A., Morse D.L. The biology underlying molecular imaging in oncology: from genome to anatome and back again. Clinical Radiology. 2010 65: 517-521. PubMed PMID: 20541651.
  41. McDougall S.R., Chaplain M.A.J., Stephanou A., Anderson A.R.A. Modelling the Impact of Pericyte Migration and Coverage of Vessels on the Efficacy of Vascular Disrupting Agents. Math. Model. Nat. Phenom. 2010 5: 163-202.
  42. Gerlee P. and Anderson, A. R. A. Diffusion Limited Tumour Growth: Simulations and Analysis. Math Biosci Eng, 2010 7(2): 387-402. PubMed PMID: 20462295.
  43. 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 15;69(22):8797-806. Epub 2009 Nov 3. PubMed PMID: 19887618.
  44. 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 15;69(22):8814-21. Epub 2009 Nov 3. PubMed PMID: 19887613.
  45. Strand DW, Franco OE, Basanta D, Anderson AR, Hayward SW. Perspectives on Tissue Interactions in Development and Disease. Curr Mol Med. 2009 Sep 13. [Epub ahead of print] PubMed PMID: 20205682.
  46. 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 1;69(17):7111-20. Epub 2009 Aug 25. PubMed PMID: 19706777.
  47. 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 Jul 13;2:130. PubMed PMID: 19594934.
  48. 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):521-46. PubMed PMID: 19566124.
  49. 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. 2009 Dec 6;6(41):1233-45. Epub 2009 Mar 18. PubMed PMID: 19324678.
  50. 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 Mar 25;6(1):16008. PubMed PMID: 19321920.
  51. Gerlee P, Anderson AR. Evolution of cell motility in an individual-based model of tumour growth. J Theor Biol. 2009 Jul 7;259(1):67-83. Epub 2009 Mar 12. PubMed PMID: 19285513.
  52. Popawski 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):1189-227. Epub 2009 Feb 21. PubMed PMID: 19234746.
  53. Gerlee P, Anderson AR. Modelling evolutionary cell behaviour using neural networks: application to tumour growth. Biosystems. 2009 Feb;95(2):166-74. Epub 2008 Nov 5. PubMed PMID: 19026711.
  54. Anderson AR, Rejniak KA, Gerlee P, Quaranta V. Microenvironment driven invasion: a multiscale multimodel investigation. J Math Biol. 2009 Apr;58(4-5):579-624. Epub 2008 Oct 7. PubMed PMID: 18839176.
  55. 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):765-98. Epub 2008 Sep 10. PubMed PMID: 18781303.
  56. 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):338-48. Epub 2008 Apr 1. Review. PubMed PMID: 18524624.
  57. Enderling H, Alexander NR, Clark ES, Branch KM, Estrada L, Crooke C, Jourquin J, 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):2203-18. Epub 2008 May 30. PubMed PMID: 18515372.
  58. 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):1450-79. Epub 2008 Apr 10. PubMed PMID: 18401665.
  59. 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):155-65. Epub 2008 Mar 13. PubMed PMID: 18339758.
  60. Anderson AR, Quaranta V. Integrative mathematical oncology. Nat Rev Cancer. 2008 Mar;8(3):227-34. PubMed PMID: 18273038.
  61. Enderling H, Chaplain MA, Anderson AR. A model of breast carcinogenesis and recurrence after radiotherapy. PAMM (ICIAM07 Proceedings), 2008; doi:10.1002/pamm.200700362.
  62. Ramis-Conde I, Chaplain MA, Anderson AR. Mathematical modelling of cancer cell invasion of tissue. Math. Comput. Modell. 2008; 47, 533-545.
  63. 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):238-44. Epub 2007 Dec 21. PubMed PMID: 18231661.
  64. Anderson AR, Rejniak KA, Gerlee P, Quaranta V. Modelling of cancer growth, evolution and invasion: Bridging Scales and Models. Math. Mod. Nat. Phenom., 2007; 2: 1-29.
  65. Rejniak KA, Anderson AR. 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. Epub 2008 Jan 11. PubMed PMID: 18188652.
  66. 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 21;250(4):705-22. Epub 2007 Nov 4. PubMed PMID: 18068192.
  67. Gerlee P, Anderson AR. 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. Epub 2007 May 17. PubMed PMID: 17677102.
  68. Pearce IG, Chaplain MA, Schofield PG, Anderson AR, Hubbard SF. Chemotaxis-induced spatio-temporal heterogeneity in multi-species host-parasitoid systems. J Math Biol. 2007 Sep;55(3):365-88. Epub 2007 Apr 14. PubMed PMID: 17435998.
  69. Gerlee P, Anderson AR. An evolutionary hybrid cellular automaton model of solid tumour growth. J Theor Biol. 2007 Jun 21;246(4):583-603. Epub 2007 Feb 12. PubMed PMID: 17374383.
  70. Enderling H, Chaplain MA, Anderson AR, Vaidya JS. A mathematical model of breast cancer development, local treatment and recurrence. J Theor Biol. 2007 May 21;246(2):245-59. Epub 2006 Dec 12. PubMed PMID: 17289081.
  71. Anderson AR, Weaver AM, Cummings PT, Quaranta V. Tumor morphology and phenotypic evolution driven by selective pressure from the microenvironment. Cell. 2006 Dec 1;127(5):905-15. PubMed PMID: 17129778.
  72. Chaplain MA, McDougall SR, Anderson AR. Mathematical modeling of tumor-induced angiogenesis. Annu Rev Biomed Eng. 2006;8:233-57. Review. PubMed PMID: 16834556.
  73. Pearce IG, Chaplain MA, Schofield PG, Anderson AR, Hubbard SF. Modelling the spatio-temporal dynamics of multi-species host-parasitoid interactions: heterogeneous patterns and ecological implications. J Theor Biol. 2006 Aug 21;241(4):876-86. Epub 2006 Mar 20. PubMed PMID: 16546216.
  74. Schor SL, Ellis IR, Harada K, Motegi K, Anderson AR, Chaplain MA, Keatch RP, Schor AM. 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. PubMed PMID: 16528704.
  75. 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; 3: 571-582.
  76. McDougall SR, Anderson AR, Chaplain MA. Mathematical modelling of dynamic adaptive tumour-induced angiogenesis: clinical implications and therapeutic targeting strategies. J Theor Biol. 2006 Aug 7;241(3):564-89. Epub 2006 Feb 17. PubMed PMID: 16487543.
  77. Enderling H, Anderson AR, Chaplain MA, Munro AJ, Vaidya JS. Mathematical modelling of radiotherapy strategies for early breast cancer. J Theor Biol. 2006 Jul 7;241(1):158-71. Epub 2005 Dec 28. PubMed PMID: 16386275.
  78. McDougall SR, Anderson AR, Chaplain MA, Sherratt JA. Mathematical modelling of flow in 2D and 3D vascular networks: Applications to anti-angiogenic and chemotherapeutic drug strategies, (2005). Math. Comput. Modell., 41: 1137-1156.
  79. Quaranta V, Weaver AM, Cummings PT, Anderson AR. Mathematical modeling of cancer: the future of prognosis and treatment. Clin Chim Acta. 2005 Jul 24;357(2):173-9. Review. PubMed PMID: 15907826.
  80. Ayati BP, Webb GF, Anderson, AR. Computational methods and results for structured multiscale models of tumor invasion. Multiscale Mod. Sim. 2005; 5: 1-20.
  81. Anderson AR, Vasiev BN. An individual based model of rippling movement in a myxobacteria population. J Theor Biol. 2005 Jun 7;234(3):341-9. Epub 2005 Jan 20. PubMed PMID: 15784269.
  82. Anderson AR. A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion. Math Med Biol. 2005 Jun;22(2):163-86. Epub 2005 Mar 21. PubMed PMID: 15781426.
  83. Stephanou A, McDougall SR, Anderson AR, Chaplain MA. Mathematical modelling of flow through vascular networks: implications for tumour-induced angiogenesis and chemotherapy strategies. Bull Math Biol. 2002 Jul;64(4):673-702. PubMed PMID: 12216417.
  84. Farnsworth KD, Anderson AR. How Simple Grazing Rules Lead Can Lead to Persistent Boundaries in Vegetation Communities (2001). Oikos, 95: 15-24.
  85. Pitcairn AW, Chaplain MA, Weijer CJ, Anderson A R. A Discrete-Continuum Mathematical Model of Dictyostelium Aggregation (2000). ECMTB., 2: 6-11.
  86. Anderson AR, Chaplain MA, Garcia-Reimbert C, Vargas CA. A Gradient-Driven Mathematical Model of Anti-Angiogenesis (2000). Math. Comp. Model., 32: 1141-1152.
  87. Anderson AR, Chaplain MA, Newman EL, Steele RJ, Thompson AM. Mathematical Modelling of Tumour Invasion and Metastasis (2000). J. Theoret. Med., 2: 129-154.
  88. Davidson FA, Anderson AR, Chaplain MA. Steady State Solutions of a Generic Model for the Formation of Capillary Networks (2000). App. Math. Letters, 13: 127-132.
  89. Baum M, Chaplain MA, Anderson AR, Douek M, Vaidya JS. Does breast cancer exist in a state of chaos? Eur J Cancer. 1999 Jun;35(6):886-91. Review. PubMed PMID: 10533467.
  90. Sleeman BD, Anderson AR, Chaplain MA. A Mathematical Analysis of a Model for Capillary Network Formation in the Absence of Endothelial Cell Proliferation.1999; Appl. Math. Lett. 12: 121-127.
  91. Anderson AR, Chaplain MA. Continuous and discrete mathematical models of tumor-induced angiogenesis. Bull Math Biol. 1998 Sep;60(5):857-99. PubMed PMID: 9739618.
  92. Chaplain MA, Anderson AR. Mathematical modelling, simulation and prediction of tumour-induced angiogenesis. Invasion Metastasis. 1996;16(4-5):222-34. Review. PubMed PMID: 9311387.
  93. Anderson AR, Chaplain MA. A Mathematical Model for Capillary Network Formation in the Absence of Endothelial Cell Proliferation. (1997). App. Math. Letters, 11: 109-114.
  94. Anderson AR, Young IM, Sleeman BD, Griffiths BS. Nematode movement along a chemical gradient in a structurally heterogeneous environment: I. Experiment. (1997). Fundam. appl. Nematol., 20: 157-164.
  95. Anderson AR, Sleeman BD, Young IM, Griffiths BS. Nematode movement along a chemical gradient in a structurally heterogeneous environment: II. Theory. (1997). Fundam. appl. Nematol., 20: 165-172.
  96. Anderson AR, Sleeman BD. Wave front propagation and its failure in coupled systems of discrete bistable cells modelled by FitzHugh-Nagumo dynamics. (1995). Int. J. Bif. Chaos, 5: 63-74.

Contributed Book Chapters

  1. Scott JG, Gerlee P, Basanta D, Fletcher AG, Maini PK, Anderson AR. Mathematical Modeling of the Metastatic Process, in Experimental Metastasis: Modeling and Analysis, ed. A. Malek (2013) Springer: New York, Chapter 9, 189-208.
  2. Anderson AR, McDougall S, Chaplain MA. A Hybrid Discrete-Continuum Model of Tumor-Induced Angiogenesis, in Modeling Tumor Vasculature: Molecular, Cellular and Tissue Level Aspects and Implications, ed. T.L. Jackson (2012) Springer: New York, Chapter 5, 105-134.
  3. Chaplain MA, McDougall S, Anderson AR. Blood Flow and Tumour-Induced Angiogenesis: Dynamically Adapting Vascular Networks, in Modeling Tumor Vasculature: Molecular, Cellular and Tissue Level Aspects and Implications, ed. T.L. Jackson (2012) Springer: New York, Chapter 8, 167-212.
  4. Anderson AR, Basanta D, Gerlee P, Rejniak KA. Evolution, Regulation and Disruption of Homeostasis and its Role in Carcinogenesis, in Multiscale Cancer Modeling, eds. Thomas S. Deisboeck and Georgios Stamatakos (2010) CRC Press: London, 1-30.
  5. Chaplain MA, Macklin P, McDougall S, Anderson AR, Cristini V, Lowengrub J. Multiscale Mathematical Modeling of Vascular Tumor Growth: An Exercise in Transatlantic Cooperation, in Multiscale Cancer Modeling, eds. Thomas S. Deisboeck and Georgios Stamatakos (2010) CRC Press: London, 251-306.
  6. Anderson AR. M for Invasion: Morphology, Mutation and the Microenvironment, in Selected Topics on Cancer Modelling Genesis - Evolution - Immune Competition - Therapy, eds. N. Bellomo, M. Chaplain, and E. De Angelis (2008) Birkhauser, Boston, 277-298.
  7. Anderson AR. Hybrid Multiscale Model of Tumour Invasion: Evolution and the Microenvironment, in Single-Cell-Based Models in Biology and Medicine, eds. A. R. A. Anderson, M. A. J. Chaplain, K. A. Rejniak (2007) Birkhauser: Basel, 3-28.
  8. Chaplain MA, Anderson AR. Mathematical Modelling of Tumour-induced Angiogenesis: Network Growth and Structure, in Angiogenesis in Brain Tumours, eds. M. Kirsch, P. McL. Black (2004) Kluwer, 51-75.
  9. Anderson AR. Solid Tumour Invasion: The Importance of Cell Adesion, in Function and Regulation of Cellular Systems: Experiments and Models, eds. A. Deutsch, M. Falcke, J. Howard, W. Zimmermann (2003) Birkhäuser,379-389.
  10. Anderson AR, Pitairn A. Application of the Hybrid Discrete-Continuum Technique, in Polymer and Cell Dynamics, eds. W. Alt, M. Chaplain, M. Griebel, J. Lenz (2003) Birkhauser, 261-279.
  11. Anderson AR. A Hybrid Discrete-Continuum Technique for Individual Based Migration Models, in Polymer and Cell Dynamics, eds. W. Alt, M. Chaplain, M. Griebel, J. Lenz (2003) Birkhauser, 251-259.
  12. Anderson AR. The Effects of Cell Adhesion on Solid Tumour Geometry, in Morphogenesis and Pattern Formation in Biological Systems, eds. T. Sekimura, S. Noji, N. Ueno, P. Maini (2003) Springer, 315-325.
  13. Chaplain MA, Anderson AR. Mathematical Modelling of Tissue Invasion, in Cancer Modelling and Simulation, ed. L. Preziosi (2003) Chapman and Hall, 269-297.
  14. Chaplain MA, Anderson AR. Modelling the Growth and Form of Capillary Networks, chapter 13, pp225-250, in On Growth and Form: Spatio-temporal Pattern Formation in Biology, eds. M.A.J. Chaplain, G.D. Singh, J. McLachlan (1999) Wiley: Chichester, 225-249.

Edited Books

  1. Single-Cell-Based Models in Biology and Medicine, eds. A. R. A. Anderson, M. A. J. Chaplain, K. A. Rejniak (2007) Birkhauser: Basel

Popular Press

  1. The cancer equation: Mathematically modelling the cure by Alexander Nazaryan, The Indendent, April 9th, 2014.
  2. At Moffitt, math modeling aims to generate new treatments for cancer by Robert Trigaux, Tampa Bay Times, April 8th, 2014.
  3. Getting Cancer Wrong by Alexander Nazaryan, Newsweek, Cover story, March issue, 2014.
  4. Opinion: Calculating Cancer by Alexander Anderson and Robert Gatenby, The Scientist, January 6, 2014.
  5. Pushing Boundaries, Inciting Innovation by Sarah E. Hoffe, MD, Florida MD, Cover story, October Issue, 2013.
  6. Medical Math: Mathematicians doing cancer research by Amy Keller, Florida Trend, May Issue, 2013.

 

Daniel Nichol, Mark Robertson-Tessi, Peter Jeavons, Alexander RA Anderson