TY - JOUR AU - Padera, T. P. AU - Stoll, B. R. AU - Tooredman, J. B. AU - Capen, D. AU - di Tomaso, E. AU - Jain, R. K. PY - 2004 DA - 2004// TI - Cancer cells compress intra-tumour vessels JO - Nature VL - 427 UR - https://doi.org/10.1038/427695a DO - 10.1038/427695a ID - Padera2004 ER - TY - JOUR AU - Griffon-Etienne, G. AU - Boucher, Y. AU - Brekken, C. AU - Suit, H. D. AU - Jain, R. K. PY - 1999 DA - 1999// TI - Taxane-induced apoptosis decompresses blood vessels and lowers interstitial fluid pressure in solid tumours: clinical implications JO - Cancer Res VL - 59 ID - Griffon-Etienne1999 ER - TY - JOUR AU - Breward, C. J. W. AU - Byrne, H. M. AU - Lewis, C. E. PY - 2003 DA - 2003// TI - A multiphase model describing vascular tumour growth JO - Bull Math Biol VL - 65 UR - https://doi.org/10.1016/S0092-8240(03)00027-2 DO - 10.1016/S0092-8240(03)00027-2 ID - Breward2003 ER - TY - JOUR AU - Araujo, R. P. AU - McElwain, D. L. S. PY - 2006 DA - 2006// TI - The role of mechanical host-tumour interactions in the collapse of tumour blood vessels and tumour growth dynamics JO - J Theor Biol VL - 238 UR - https://doi.org/10.1016/j.jtbi.2005.06.033 DO - 10.1016/j.jtbi.2005.06.033 ID - Araujo2006 ER - TY - JOUR AU - Arakelyan, L. AU - Vainstein, V. AU - Agur, Z. PY - 2002 DA - 2002// TI - A computer algorithm describing the process of vessel formation and maturation, and its use for predicting the effects of anti-angiogenic and anti-maturation therapy on vascular tumour growth JO - Angiogenesis VL - 5 UR - https://doi.org/10.1023/A:1023841921971 DO - 10.1023/A:1023841921971 ID - Arakelyan2002 ER - TY - JOUR AU - Arakelyan, L. AU - Merbl, Y. AU - Agur, Z. PY - 2005 DA - 2005// TI - Vessel maturation effects on tumour growth: validation of a computer model in implanted human ovarian carcinoma spheroids JO - Eur J Canc VL - 41 UR - https://doi.org/10.1016/j.ejca.2004.09.012 DO - 10.1016/j.ejca.2004.09.012 ID - Arakelyan2005 ER - TY - JOUR AU - Matzavinos, A. AU - Chaplain, M. A. J. PY - 2004 DA - 2004// TI - Travelling-wave analysis of a model of the immune response to cancer JO - C. R. Biologies VL - 327 UR - https://doi.org/10.1016/j.crvi.2004.07.016 DO - 10.1016/j.crvi.2004.07.016 ID - Matzavinos2004 ER - TY - JOUR AU - Matzavinos, A. AU - Chaplain, M. A. J. PY - 2004 DA - 2004// TI - Mathematical modelling of the spatio-temporal response of cytotoxic T-lymphocytes to a solid tumour JO - Math Med Biol VL - 21 UR - https://doi.org/10.1093/imammb/21.1.1 DO - 10.1093/imammb/21.1.1 ID - Matzavinos2004 ER - TY - JOUR AU - Owen, M. R. AU - Sherratt, J. A. PY - 1997 DA - 1997// TI - Pattern formation and spatiotemporal irregularity in a model for macrophage-tumour interactions JO - J Theor Biol VL - 189 UR - https://doi.org/10.1006/jtbi.1997.0494 DO - 10.1006/jtbi.1997.0494 ID - Owen1997 ER - TY - JOUR AU - Jain, R. PY - 1988 DA - 1988// TI - Determinants of tumor blood flow: a review JO - Canc Res VL - 48 ID - Jain1988 ER - TY - JOUR AU - Jain, R. K. PY - 2005 DA - 2005// TI - Normalization of tumor vasculature: an emerging concept in antiangiogenic therapy JO - Science VL - 307 UR - https://doi.org/10.1126/science.1104819 DO - 10.1126/science.1104819 ID - Jain2005 ER - TY - JOUR AU - El-Kareh, A. W. AU - Secomb, T. W. PY - 2000 DA - 2000// TI - A mathematical model for comparison of bolus injection, continuous infusion, and liposomal delivery of doxorubicin to tumor cells JO - Neoplasia VL - 2 UR - https://doi.org/10.1038/sj.neo.7900096 DO - 10.1038/sj.neo.7900096 ID - El-Kareh2000 ER - TY - JOUR AU - Rahman, A. AU - Carmichael, D. AU - Harris, M. AU - Roh, J. K. PY - 1986 DA - 1986// TI - Comparative pharmacokinetics of free doxorubicin and doxorubicin entrapped in cardiolipin liposomes JO - Canc Res VL - 46 ID - Rahman1986 ER - TY - JOUR AU - Jackson, T. L. PY - 2003 DA - 2003// TI - Intracellular accumulation and mechanism of action of doxorubicin in a spatio-temporal tumor model JO - J Ther Biol VL - 220 UR - https://doi.org/10.1006/jtbi.2003.3156 DO - 10.1006/jtbi.2003.3156 ID - Jackson2003 ER - TY - JOUR AU - Ribba, B. AU - Marron, K. AU - Agur, Z. AU - Alarcón, T. AU - Maini, P. K. PY - 2005 DA - 2005// TI - A mathematical model of doxorubicin treatment efficacy for non-Hodgkin's lymphoma: investigation of the current protocol through theoretical modelling results JO - Bull Math Biol VL - 67 UR - https://doi.org/10.1016/j.bulm.2004.06.007 DO - 10.1016/j.bulm.2004.06.007 ID - Ribba2005 ER - TY - JOUR AU - Sherratt, J. A. AU - Eagan, B. T. AU - Lewis, M. A. PY - 1997 DA - 1997// TI - Oscillations and chaos behind predator-prey invasion: mathematical artifact or ecological reality? JO - Phil Trans R Soc Lond B VL - 352 UR - https://doi.org/10.1098/rstb.1997.0003 DO - 10.1098/rstb.1997.0003 ID - Sherratt1997 ER - TY - JOUR AU - Sherratt, J. A. PY - 2001 DA - 2001// TI - Periodic travelling waves in cyclic predator-prey systems JO - Ecology Letters VL - 4 UR - https://doi.org/10.1046/j.1461-0248.2001.00193.x DO - 10.1046/j.1461-0248.2001.00193.x ID - Sherratt2001 ER - TY - JOUR AU - Orme, M. E. AU - Chaplain, M. A. J. PY - 1996 DA - 1996// TI - A mathematical model of vascular tumour growth and invasion JO - Math Comput Modelling VL - 23 UR - https://doi.org/10.1016/0895-7177(96)00053-2 DO - 10.1016/0895-7177(96)00053-2 ID - Orme1996 ER - TY - JOUR AU - Secomb, T. AU - Hsu, R. AU - Dewhirst, M. W. PY - 2004 DA - 2004// TI - Synergistic effects of hyperoxic gas breathing and reduced oxygen consumption on tumor oxygenation: a thereoretical model JO - Int J Radiation Oncology Biol Phys VL - 59 UR - https://doi.org/10.1016/j.ijrobp.2004.01.039 DO - 10.1016/j.ijrobp.2004.01.039 ID - Secomb2004 ER - TY - BOOK AU - Edelstein-Keshet, L. PY - 1988 DA - 1988// TI - Mathematical models in biology PB - McGraw-Hill Inc CY - NY ID - Edelstein-Keshet1988 ER - TY - JOUR AU - Casciari, J. J. AU - Sotirchos, S. V. AU - Sutherland, R. M. PY - 1992 DA - 1992// TI - Variations in tumour cell growth rates and metabolism with oxygen concentration, glucose concentration and extracellular pH JO - J Cell Physiol VL - 151 UR - https://doi.org/10.1002/jcp.1041510220 DO - 10.1002/jcp.1041510220 ID - Casciari1992 ER - TY - JOUR AU - Fornari, F. A. AU - Randolph, J. K. AU - Yalowich, J. C. AU - Ritke, M. K. AU - Gewirtz, D. A. PY - 1994 DA - 1994// TI - Interference by doxorubicin with DNA unwinding in MCF-7 breast tumor cells JO - Mol Pharm VL - 45 ID - Fornari1994 ER - TY - JOUR AU - Webb, S. D. AU - Owen, M. R. AU - Byrne, H. M. AU - Murdoch, C. AU - Lewis, C. E. PY - 2007 DA - 2007// TI - Macrophage-based anti-cancer therapy: modelling different modes of tumour targeting JO - Bull Math Biol VL - 69 UR - https://doi.org/10.1007/s11538-006-9189-2 DO - 10.1007/s11538-006-9189-2 ID - Webb2007 ER - TY - JOUR AU - Jain, R. K. PY - 1999 DA - 1999// TI - Transport of molecules, particles, and cells in solid tumors JO - Annu Rev Biomed Eng VL - 01 UR - https://doi.org/10.1146/annurev.bioeng.1.1.241 DO - 10.1146/annurev.bioeng.1.1.241 ID - Jain1999 ER - TY - STD TI - NAG Fortran library routine document D03PCF/D03PCA. [http://www.nag.co.uk/numeric/Fl/manual/pdf/D03/d03pcf.pdf] UR - http://www.nag.co.uk/numeric/Fl/manual/pdf/D03/d03pcf.pdf ID - ref25 ER - TY - BOOK AU - Murray, J. D. PY - 1993 DA - 1993// TI - Mathematical Biology PB - Springer Verlag CY - Berlin UR - https://doi.org/10.1007/b98869 DO - 10.1007/b98869 ID - Murray1993 ER - TY - JOUR AU - Sherratt, J. A. PY - 1998 DA - 1998// TI - Invading wave fronts and their oscillatory wakes are linked by a modulated travelling phase resetting wave JO - Physica D VL - 117 UR - https://doi.org/10.1016/S0167-2789(97)00317-5 DO - 10.1016/S0167-2789(97)00317-5 ID - Sherratt1998 ER - TY - BOOK AU - Guckenheimer, J. AU - Holmes, P. PY - 1983 DA - 1983// TI - Nonlinear oscillations, dynamical systems, and bifurcations of vector fields PB - SpringerVerlag CY - NY UR - https://doi.org/10.1007/978-1-4612-1140-2 DO - 10.1007/978-1-4612-1140-2 ID - Guckenheimer1983 ER - TY - JOUR AU - Malchow, H. AU - Petrovskii, S. V. PY - 2002 DA - 2002// TI - Dynamical stabilization of an unstable equiibrium in chemical and biological systems JO - Math Comp Mod VL - 36 UR - https://doi.org/10.1016/S0895-7177(02)00127-9 DO - 10.1016/S0895-7177(02)00127-9 ID - Malchow2002 ER - TY - JOUR AU - Swanson, K. R. AU - Bridge, C. AU - Murray, J. D. AU - Jr, E. C. A. PY - 2003 DA - 2003// TI - Virtual and real brain tumors: using mathematical modeling to quantify glioma growth and invasion JO - J Neurological Sci VL - 216 UR - https://doi.org/10.1016/j.jns.2003.06.001 DO - 10.1016/j.jns.2003.06.001 ID - Swanson2003 ER - TY - CHAP AU - Byrne, H. M. AU - Owen, M. R. AU - Alarcón, T. AU - Murphy, J. AU - Maini, P. K. PY - 2006 DA - 2006// TI - Modelling the response of vascular tumours to chemotherapy: a multiscale approach BT - Math Mod Meth Appl Sci ID - Byrne2006 ER - TY - JOUR AU - Lin, M. I. AU - Sessa, W. C. PY - 2004 DA - 2004// TI - Antiangiogenic therapy: creating a unique "window" of opportunity JO - Cancer Cell VL - 6 ID - Lin2004 ER - TY - JOUR AU - Agur, Z. AU - Arakelyan, L. AU - Daugulis, P. AU - Ginosar, Y. PY - 2004 DA - 2004// TI - Hopf point analysis for angiogenesis models JO - Discrete and Continuous Dynamical Systems Series B VL - 4 UR - https://doi.org/10.3934/dcdsb.2004.4.29 DO - 10.3934/dcdsb.2004.4.29 ID - Agur2004 ER - TY - CHAP AU - Arakelyan, L. AU - Merbl, Y. AU - Daugulis, P. AU - Ginosar, Y. AU - Vainstein, V. AU - Selitser, V. AU - Kogan, Y. AU - Harpak, H. AU - Agur, Z. ED - Preziosi, L. PY - 2003 DA - 2003// TI - Multi-scale analysis of angiogenic dynamics and therapy BT - Cancer Modelling and Simulation ID - Arakelyan2003 ER - TY - JOUR AU - Marciniak-Czochra, A. AU - Kimmel, M. PY - 2008 DA - 2008// TI - Reaction-difusion model of early carcinogenesis: The effects of influx of mutated cells JO - Math Model Nat Phenom VL - 3 UR - https://doi.org/10.1051/mmnp:2008043 DO - 10.1051/mmnp:2008043 ID - Marciniak-Czochra2008 ER -