Optimization of vascular-targeting drugs in a computational model of tumor growth

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 85, Issue 4, 2012, Pages

  Gevertz, Jana ^a  

^a Department of Health and Exercise Science   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANGIOGENESIS INHIBITORS; COMPUTATIONAL MODEL; DRUG DESIGN; DRUG TARGETS; OPTIMAL TREATMENT; STOCHASTIC OPTIMIZATIONS; THEORETICAL BASIS; TUMOR GROWTH; TUMOR VASCULATURE; VASCULAR DISRUPTING AGENTS; VASCULATURE;

COMPUTATIONAL METHODS; OPTIMIZATION;

TUMORS;

EID: 84860457121     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.85.041914     Document Type: Article

References (75)

1. P. E. Thorpe, Clin. Cancer Res. 1078-0432 10.1158/1078-0432.CCR-0642-03 10, 415 (2004). (Pubitemid 38173977)
2. D. W. Siemann, in Vascular-targeted Therapies in Oncology (Wiley & Sons, West Sussex, England, 2006), pp. 1-8.
3. G. Bergers and D. Hanahan, Nat. Rev. Cancer 1474-1768 10.1038/nrc2442 8, 592 (2008).
4. M. M. Cooney, J. Ortiz, R. M. Bukowski, and S. C. Remick, Curr. Oncol. Rep. 1523-3790 10.1007/s11912-005-0033-x 7, 90 (2005).
5. J. L. Gevertz, Comput. Math. Methods Med. 1748-670X 10.1155/2011/830515 2011, 830515 (2011).
6. M. Dickson and J. P. Gagnon, Nat. Rev. Drug Discovery 1474-1784 10.1038/nrd1382 3, 417 (2004).
7. C. P. Adams and V. V. Brantner, Health Aff. 0278-2715 10.1377/hlthaff.25.2.420 25, 420 (2006). (Pubitemid 43529550)
8. J. Gabrielsson and D. Weiner, Pharmacokinetic and Pharmacodynamic Data Analysis: Concepts and Applications 3rd ed. (Swedish Pharmaceutical Press, Stockholm, 2000).
9. A. Iliadis and D. Barbolosi, Comput. Biomed. Res. CBMRB7 0010-4809 10.1006/cbmr.2000.1540 33, 211 (2000). (Pubitemid 30432556)
10. K. R. Fister and J. C. Panetta, SIAM J. Appl. Math. SMJMAP 0036-1399 10.1137/S0036139998338509 60, 1059 (2000).
11. D. Barbolosi and A. Iliadis, Comput. Biol. Med. CBMDAW 0010-4825 10.1016/S0010-4825(00)00032-9 31, 157 (2001). (Pubitemid 32149922)
12. K. R. Fister and J. C. Panetta, SIAM J. Appl. Math. SMJMAP 0036-1399 10.1137/S0036139902413489 63, 1954 (2003).
13. J. J. Grudzinski, W. Tomé, J. P. Weichert, and R. Jeraj, Phys. Med. Biol. PHMBA7 0031-9155 10.1088/0031-9155/55/19/007 55, 5723 (2010).
14. B. Ribba, K. Marron, Z. Agur, T. Alarcón, and P. K. Maini, Bull. Math. Biol. BMTBAP 0092-8240 10.1016/j.bulm.2004.06.007 67, 79 (2005). (Pubitemid 40181069)
15. J. P. Sinek, S. Sanga, X. Zheng, H. B. Frieboes, M. Ferrari, and V. Cristini, J. Math. Biol. JMBLAJ 0303-6812 10.1007/s00285-008-0214-y 58, 485 (2009).
16. T. L. Jackson, J. Math. Biol. JMBLAJ 0303-6812 10.1007/s002850100118 44, 201 (2002). (Pubitemid 44200131)
17. A. Bertuzzi, A. D'Onofrio, A. Fasano, and A. Gandolfi, Bull. Math. Biol. BMTBAP 0092-8240 10.1016/S0092-8240(03)00054-5 65, 903 (2003). (Pubitemid 37029238)
18. S. C. Ferreira, M. L. Martins, and M. J. Vilela, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.67.051914 67, 051914 (2003).
19. E. S. Norris, J. R. King, and H. M. Byrne, Math. Comput. Model. MCMOEG 0895-7177 10.1016/j.mcm.2005.09.026 43, 820 (2006).
20. P. Tracqui, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/72/5/ 056701 72, 056701 (2009).
21. L. G. De Pillis and A. Radunskaya, J. Theor. Med. 1027-3662 10.1080/10273660108833067 3, 79 (2001).
22. S. A. Menchón and C. A. Condat, Eur. Phys. J. Spec. Top. 1951-6355 10.1140/epjst/e2007-00075-1 143, 89 (2007).
23. K. R. Swanson, J. E. C. Alvord, and J. D. Murray, Acta. Biotheor. ABIOAN 0001-5342 10.1023/A:1022644031905 50, 223 (2002). (Pubitemid 36325757)
24. H. B. Frieboes, M. E. Edgerton, J. P. Fruehauf, F. R. A. J. Rose, L. K. Worrall, R. A. Gatenby, M. Ferrari, and V. Cristini, Cancer Res. CNREA8 0008-5472 10.1158/0008-5472.CAN-08-3740 69, 4484 (2009).
25. D. Y. Arifin, K. Y. T. Lee, and C.-H. Wang, J. Controlled Release 33, 211 (2009).
26. J. Sinek, H. Frieboes, X. Zheng, and V. Cristini, Biomed. Microdevices 1387-2176 10.1023/B:BMMD.0000048562.29657.64 6, 297 (2004). (Pubitemid 39545749)
27. M. Abundo and C. Rossi, J. Math. Biol. JMBLAJ 0303-6812 10.1007/BF00276082 27, 81 (1989).
28. M. I. S. Costa, J. L. Boldrini, and R. C. Bassanezi, Math. Biosci. MABIAR 0025-5564 10.1016/0025-5564(94)00028-X 125, 211 (1995).
29. J. R. Usher and D. Henderson, Math. Med. Biol. 1477-8599 10.1093/imammb/13.2.99 13, 99 (1996).
30. J. L. Boldrini and M. I. S. Costa, Math. Med. Biol. 1477-8599 10.1093/imammb/17.1.33 17, 33 (2000).
31. B. Titz and R. Jerag, Phys. Med. Biol. PHMBA7 0031-9155 10.1088/0031-9155/53/17/001 53, 4471 (2008).
32. C. Harting, P. Peschke, K. Borkenstein, and C. P. Karger, Phys. Med. Biol. PHMBA7 0031-9155 10.1088/0031-9155/52/16/005 52, 4775 (2007). (Pubitemid 47232287)
33. G. Powathil, M. Kohandel, S. Sivaloganathan, A. Oza, and M. Milosevic, Phys. Med. Biol. PHMBA7 0031-9155 10.1088/0031-9155/52/11/023 52, 3291 (2007). (Pubitemid 46795261)
34. L. Arakelyan, V. Vainstein, and Z. Agur, Angiogenesis 0969-6970 10.1023/A:1023841921971 5, 203 (2002). (Pubitemid 36687523)
35. A. Ergun, K. Camphausen, and L. M. Wein, Bull. Math. Biol. BMTBAP 0092-8240 10.1016/S0092-8240(03)00006-5 65, 407 (2003). (Pubitemid 36521826)
36. A. d'Onofrio and A. Gandolfi, Math. Biosci. MABIAR 0025-5564 10.1016/j.mbs.2004.06.003 191, 159 (2004). (Pubitemid 39195231)
37. U. Ledzewicz and H. Schättler, SIAM J. Control Optim. SJCODC 0363-0129 10.1137/060665294 46, 1052 (2007).
38. M. Kohandel, M. Kardar, M. Milosevic, and S. Sivaloganathan, Phys. Med. Biol. PHMBA7 0031-9155 10.1088/0031-9155/52/13/001 52, 3665 (2007). (Pubitemid 46908587)
39. J. Panovska, H. M. Byrne, and P. K. Maini, Math. Comput. Model. MCMOEG 0895-7177 10.1016/j.mcm.2007.02.028 47, 560 (2008). (Pubitemid 351199980)
40. P. Hinow, P. Gerlee, L. J. McCawley, V. Quaranta, M. Ciobanu, S. Wang, J. M. Graham, B. P. Ayati, J. Claridge, K. R. Swanson, Math. Biosci. Eng. 1551-0018 10.3934/mbe.2009.6.521 6, 521 (2009).
41. J. L. Gevertz and S. Torquato, J. Theor. Biol. JTBIAP 0022-5193 10.1016/j.jtbi.2006.07.002 243, 517 (2006). (Pubitemid 44708219)
42. J. L. Gevertz and S. Torquato, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.051910 80, 051910 (2009).
43. J. Holash, P. C. Maisonpierre, D. Compton, P. Boland, C. R. Alexander, D. Zagzag, G. D. Yancopoulos, and S. J. Weigand, Science SCIEAS 0036-8075 10.1126/science.284.5422.1994 284, 1994 (1997).
44. C. S. Maisonpierre, C. Suri, P. F. Jones, S. Bartunkova, S. J. Wiegand, C. Radziejewski, D. Compton, J. McClain, T. H. Aldrich, N. Papadlopoulous, Science SCIEAS 0036-8075 10.1126/science.277.5322.55 277, 55 (1997). (Pubitemid 27450643)
45. R. A. Brekken and P. E. Thorpe, J. Controlled Release JCREEC 0168-3659 10.1016/S0168-3659(01)00333-9 74, 173 (2001). (Pubitemid 32727619)
46. V. Tse, L. Xu, Y. C. Yung, J. G. Santarelli, D. Juan, K. Fabel, G. Silverberg, and G. Harsh IV, Neurol. Res. 0161-6412 10.1179/016164103101202084 25, 729 (2003). (Pubitemid 37266696)
47. J.-F. Lu, R. Bruno, S. Eppler, W. Novotny, and J. Gaudreault, Cancer Chemother. Pharmacol. CCPHDZ 0344-5704 10.1007/s00280-007-0664-8 62, 779 (2008).
48. R. Stupp, P. Y. Dietrich, S. Ostermann Kraljevic, A. Pica, I. Maillard, P. Maeder, R. Meuli, R. Janzer, G. Pizzolato, R. Miralbell, J. Clin. Oncol. JCONDN 0732-183X 10.1200/JCO.20.5.1375 20, 1375 (2002). (Pubitemid 34177445)
49. S. Torquato, Random Heterogeneous Materials: Microstructure and Microscopic Properties (Springer-Verlag, New York, 2002).
50. P. D. Nathan, I. Judson, A. Padhani, A. Harris, C. P. Carden, J. Smythe, D. Collins, M. Leach, P. Walicke, and G. J. Rustin, J. Clin. Oncol. 26 (Suppl.), 3550 (2008).
51. M. Welter, K. Bartha, and H. Rieger, J. Theor. Biol. JTBIAP 0022-5193 10.1016/j.jtbi.2009.04.005 259, 405 (2009).
52. M. Welter and H. Rieger, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/i2010-10611-6 33, 149 (2010).
53. R. K. Jain, Nat. Med. 1078-8956 10.1038/nm0901-987 7, 987 (2001). (Pubitemid 32937367)
54. T. Alarcón, H. M. Byrne, and P. K. Maini, Prog. Biophys. Mol. Biol. PBIMAC 0079-6107 10.1016/j.pbiomolbio.2004.02.004 85, 451 (2004). (Pubitemid 38629922)
55. T. Alarcón, H. M. Byrne, and P. K. Maini, Multiscale Model. Simul. 1540-3459 10.1137/040603760 3, 440 (2005). (Pubitemid 40951980)
56. S. R. McDougall, A. R. A. Anderson, and M. A. J. Chaplain, J. Theor. Biol. JTBIAP 0022-5193 10.1016/j.jtbi.2005.12.022 241, 564 (2006). (Pubitemid 44041121)
57. A. L. Bauer, T. L. Jackson, and Y. Jiang, Biophys. J. BIOJAU 0006-3495 10.1529/biophysj.106.101501 92, 3105 (2007). (Pubitemid 46684572)
58. M. Welter, K. Bartha, and H. Rieger, J. Math. Biol. 250, 257 (2008).
59. P. Macklin, S. McDougall, A. R. Anderson, M. A. Chaplain, and J. Lowengrub, J. Math. Biol. JMBLAJ 0303-6812 10.1007/s00285-008-0216-9 58, 765 (2009).
60. N. Raghunand, R. A. Gatenby, and R. J. Gillies, Br. J. Radiol. BJRAAP 0007-1285 10.1259/bjr/12913493 76, S11 (2003). (Pubitemid 39530312)
61. J. C. Cusack, Cancer Treat. Rev. CTREDJ 0305-7372 10.1016/S0305-7372(03) 00079-3 29, 21 (2003).
62. S. Turner and J. A. Sherratt, J. Theor. Biol. JTBIAP 0022-5193 10.1006/jtbi.2001.2522 216, 85 (2002). (Pubitemid 34748059)
63. H. B. Frieboes, X. Zheng, C.-H. Sun, B. Tromberg, R. Gatenby, and V. Cristini, Cancer Res. CNREA8 0008-5472 10.1158/0008-5472.CAN-05-3166 66, 1597 (2006). (Pubitemid 43259943)
64. A. M. Stein, T. Demuth, D. Mobley, M. Berens, and L. M. Sander, Biophys. J. BIOJAU 0006-3495 10.1529/biophysj.106.093468 92, 356 (2007). (Pubitemid 46048443)
65. B. M. Rubenstein and L. J. Kaufman, Biophys. J. BIOJAU 0006-3495 10.1529/biophysj.108.140624 95, 5661 (2008).
66. K. J. Painter, J. Math. Biol. JMBLAJ 0303-6812 10.1007/s00285-008-0217-8 58, 511 (2009).
67. A. R. Anderson, K. A. Rejniak, P. Gerlee, and V. Quaranta, J. Math. Biol. JMBLAJ 0303-6812 10.1007/s00285-008-0210-2 58, 579 (2009).
68. Y. Jiao and S. Torquato, PLoS Comput. Biol. 1553-734X 10.1371/journal.pcbi.1002314 7, e1002314 (2011).
69. S. L. C. Lee, P. Rouhia, L. D. Jensena, D. Zhanga, H. Jia, G. Hauptmannc, P. Inghamb, and Y. Caoa, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0909228106 106, 19485 (2009).
70. P. Gritsenko, O. Ilina, and P. Friedl, J. Pathol. 0022-3417 10.1002/path.3031 226 185 (2012).
71. A. R. Kansal, S. Torquato, R. G. Harsh IV, E. A. Chiocca, and T. S. Deisboeck, J. Theor. Biol. JTBIAP 0022-5193 10.1006/jtbi.2000.2000 203, 367 (2000). (Pubitemid 30662933)
72. W. C. Broaddus, P. J. Haar, and G. T. Gillies, in Encyclopedia of Biomaterials and Biomedical Engineering, 3rd ed. (Dekker, New York, 2004), pp. 1035-1042.
73. J. E. Fletcher, Math. Biosci. MABIAR 0025-5564 10.1016/0025-5564(78) 90044-5 38, 159 (1978). (Pubitemid 8329006)
74. X. Zheng, S. M. Wise, and V. Cristini, Bull. Math. Biol. BMTBAP 0092-8240 10.1016/j.bulm.2004.08.001 67, 211 (2005). (Pubitemid 40234527)
75. J. L. Gevertz, G. T. Gillies, and S. Torquato, Phys. Biol. 1478-3967 10.1088/1478-3975/5/3/036010 5, 036010 (2008).