Understanding the role of the tumour vasculature in the transport of drugs to solid cancer tumours

Cell Proliferation

Volumn 40, Issue 3, 2007, Pages 283-301

  Wijeratne, N S ^a   Hoo, K A ^a  

^a Department of Electrical and Computer Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANTINEOPLASTIC AGENT; CISPLATIN; FLUOROURACIL; HYDROXYUREA; MITOLACTOL; PROCARBAZINE; TIOGUANINE;

ANALYTICAL PARAMETERS; ARTICLE; BIOLOGICAL ACTIVITY; BLOOD BRAIN BARRIER; CAPILLARY; CASE REPORT; CONCENTRATION RESPONSE; DIFFUSION; DRUG DISTRIBUTION; DRUG EFFICACY; DRUG PENETRATION; DRUG POTENCY; DRUG TRANSPORT; FILTRATION; GLIOMA; HUMAN; HYDRAULIC CONDUCTIVITY; HYDROSTATIC PRESSURE; MATHEMATICAL MODEL; MULTIPLE CYCLE TREATMENT; NONLINEAR SYSTEM; SENSITIVITY ANALYSIS; SOLID TUMOR; TUMOR VASCULARIZATION; TUMOR VOLUME;

ANTINEOPLASTIC AGENTS; BRAIN NEOPLASMS; CAPILLARIES; EXTRACELLULAR FLUID; GLIOMA; HUMANS; HYDROSTATIC PRESSURE; MODELS, BIOLOGICAL; NEOVASCULARIZATION, PATHOLOGIC;

EID: 34248997771     PISSN: 09607722     EISSN: 13652184     Source Type: Journal    
DOI: 10.1111/j.1365-2184.2007.00436.x     Document Type: Article

References (30)

1. Au JL, Jang SH, Zheng J, Chen CT, Song S, Hu L, Wientjes MG (2001) Determinants off drug delivery and transport to solid tumours. J. Control Release 74, 31 46.
2. Bardford R, Koppel H, Pilkington GJ, Thomas DG, Darling JL (1997) Heterogeneity of chemo-sensitivity in six clonal cell lines derived from a spontaneous murine astrocytoma and its relationship to genotypic and phenotypic characteristics. J. Neurooncol. 34, 247 261.
3. Berger SA, Goldsmith W, Lewis ER (1996) Introduction to Bio Engineering. New York : Oxford University press.
4. Brown EB, Izumi Y, Campbell RB, Berk DA, Jain RK (2001) Role of tumor-host interactions in interstitial diffusion of macromolecules: cranial vs. subcutaneous tumours. PNAS 98, 4628 4663.
5. Chaplain MAJ (2000) Mathematical modeling of angiogenesis. J. Neurooncol. 50, 37 51.
6. Crank J (1994) Free and Moving Boundary Problems. Oxford, UK : Clarendon press.
7. Cristini V, Lowengrub J, Nie Q (2003) Nonlinear simulation of tumour growth. J. Math. Biol. 46, 191 224.
8. Cui S, Friedman A (2004) A free boundary problem for a singular system of differential equations: an application to a model of tumour growth. Trans. Amer. Math. Soc. 355, 3537 3590.
9. D'Onofrio A, Gandolfi A (2004) Tumour eradication by antiangiogenic therapy: analysis and extensions of the model by Hahnfeldt et al1999). Math. Biosci. 191, 159 184.
10. De Pillis LG, Radunskaya AE (2006) Mixed immunotherapy and chemotherapy of tumours: modeling applications and biological interpretations. J. Theor. Biol. 238, 841 862.
11. El-Kareh AW, Secomb TW (2000) A mathematical model for comparison of bolus injection, continuous infusion, and lopsomal delivery of doxorubicin to tumour cells. Neoplasia 2, 325 338.
12. Finlayson BA (1980) Nonlinear Analysis in Chemical Engineering. New York : McGraw-Hill.
13. Folkman J (2001) Angiogenesis. In : Braunwald E, Fauci AS, Kasper DL, Hauser SL, Longo DL, Jameson JL, eds. Harrison's Principles of Internal Medicine, 15th edn, pp. 517 530. New York : McGraw-Hill.
14. Gore A (2005) Trans-capillary fluid exchange: the Starling's hypothesis. http://omaha.physiol.arizona.edu/Physiology485/Gore/Lecture21a/Gore.L21a.html. [accessed on 9 January 2005].
15. Greenspan HP (1972) Models for growth of a solid tumour by diffusion. Stud. Appl. Math. 52, 317 340.
16. Jain RK (1987a) Transport of molecules across tumour vasculature. Cancer Metastasis Rev. 6, 559 593.
17. Jain RK (1987b) Transport of molecules in the tumour interstitium: a review. Cancer Res. 47, 3039 3305.
18. Jain RK (1994) Barriers to drug delivery in solid tumours. Sci. Am. 271, 58 65.
19. Jain RK (1997) Delivery of molecular and cellular medicine to solid tumors. Microcirculation 4, 1 23.
20. Jang SH, Wientjes MG, Lu D, Au JL (2003) Drug delivery and transport to solid tumours. Pharm. Res. 20, 1337 1350.
21. Kellen MR (2002) A model for micro-circulatory fluid and solute exchange in the heart. PhD Thesis, University Washington, Academic Degree Doctor of Bio-Engineering.
22. Klabunde RE (2004) Cardiovascular Physiology Concepts. Lippincott, PA : Williams & Wilkins.
23. Macklin P, Lowengrub J (2006) An improved geometry-aware curvature discretization for level set methods: application to tumour. J. Comput. Phys. 215, 392 401.
24. Mallet DG, De Pillis LG (2006) A cellular automata model of tumour-immune system interactions. J. Theor. Biol. 239, 334 350.
25. Norris ES, King JR, Byrne HM (2006) Modeling the response of spatially structured tumors to chemotherapy: drug kinetics. Math. Comput. Model. 43, 820 837.
26. Pluen A, Boucher Y, Ramanujan S, Mckee TD, Gohongi T, Tomaso ED, Rippe B, Rosengern B, Carlsson O, Venturoli D (2002) Transendotheial transport: the vesicle controversy. J. Vasc. Res. 39, 375 390.
27. Swanson KR, Murray JD, Alvord EC Jr. (2002) Quantifying efficacy of chemotherapy of the brain tumours with homogeneous and heterogeneous drug delivery. Acta Biotheor. 50, 223 237.
28. Swanson KR, Bridge C, Murray JD, Alvord EC Jr. (2003) Virtual and real brain tumours: using mathematical modeling to quantify glioma growth and invasion. J. Neurol. Sci. 216, 1 10.
29. Tracqui P, Cruywagen GC, Woodward DE, Bartoo GT, Murray JD, Alvord EC Jr. (1995) A mathematical model of glioma growth: the effect of chemotherapy on spatio-temporal growth. Cell Prolif. 28, 17 31.
30. Venturoli D, Rippe B (2001) Transport asymmetry in peritoneal dialysis: application of a serial hetero-porous peritoneal membrane model. Am. J. Renol. Physiol. 280, F599 F606.