Effect of tumor shape, size, and tissue transport properties on drug delivery to solid tumors
Open accessPublished version of a preprint
Abstract
BACKGROUND: The computational methods provide condition for investigation related to the process of drug delivery, such as convection and diffusion of drug in extracellular matrices, drug extravasation from microvessels or to lymphatic vessels. The information of this process clarifies the mechanisms of drug delivery from the injection site to absorption by a solid tumor. In this study, an advanced numerical method is used to solve fluid flow and solute transport equations simultaneously to investigate the effect of tumor shape and size on drug delivery to solid tumor. METHODS: The advanced mathematical model used in our previous work is further developed by adding solute transport equation to the governing equations. After applying appropriate boundary and initial conditions on tumor and surrounding tissue geometry, the element-based finite volume method is used for solving governing equations of drug delivery in solid tumor. Also, the effects of size and shape of tumor and some of tissue transport parameters such as effective pressure and hydraulic conductivity on interstitial fluid flow and drug delivery are investigated. RESULTS: Sensitivity analysis shows that drug delivery in prolate shape is significantly better than other tumor shapes. Considering size effect, increasing tumor size decreases drug concentration in interstitial fluid. This study shows that dependency of drug concentration in interstitial fluid to osmotic and intravascular pressure is negligible. CONCLUSIONS: This study shows that among diffusion and convection mechanisms of drug transport, diffusion is dominant in most different tumor shapes and sizes. In tumors in which the convection has considerable effect, the drug concentration is larger than that of other tumors at the same time post injection.
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Tumor size and associated hypoxia levels affect the efficacy of drug delivery to the tumor.
“recently published literature discusses the role of the size of a tumor (and the associated hypoxia levels) on its aggressiveness [81,82,83,84,85] and on the efficacy of drug delivery to it [84,86,87].”
From The Tumor-on-Chip: Recent Advances in the Development of Microfluidic Systems to Recapitulate the Physiology of Solid Tumors (2019) · cites this paper as [87]
The Abstract Results and Discussion (page not available) report that increasing tumor size reduces drug concentration in interstitial fluid, supporting the size–delivery link. They explain this through increased interstitial fluid pressure, not associated hypoxia levels; our copy does not support that part of the claim. (LLM, conf=0.88)
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Cites
Chauhan, V. P., Stylianopoulos, T., Martin, J. D., Popović, Z., Chen, O., Kamoun, W. S., Bawendi, M. G., Fukumura, D., & Jain, R. K. (2012) · Nature Nanotechnology · doi:10.1038/nnano.2012.45 · Cited by 1,101 · see citing works
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Research works printed but not linked: 43
- Siegel R Naishadham D Jemal A Cancer statistics A Cancer J Clin 2013 8 11 30 23335087
- Soltani M Chen P Effect of tumor shape and size on drug delivery to solid tumors J Biol Eng 2012 8 4 22534172 PMC3527173
- Baxter LT Jain RK Transport of fluid and macromolecules in tumors IV: A microscopic model of the perivascular distribution Microvasc Res 1991 8 252 272 2051960
- Baxter LT Jain RK Transport of fluid and macromolecules in tumors (II): role of heterogeneous perfusion and lymphatics Microvasc Res 1990 8 246 263 2250603
- Baxter LT Jain RK Transport of fluid and macromolecules in tumors (iii): role of binding and metabolism Microvasc Res 1991 8 5 23 2051954
- Jain RK Baxter LT Mechanisms of heterogeneous distribution of monoclonal antibodies and other macromolecules in tumors: significance of elevated interstitial pressure Cancer Res 1988 8 7022 7032 3191477
- Baxter LT Jain RK Transport of fluid and macromolecules in tumors (I): role of interstitial pressure and convection Microvasc Res 1989 8 77 104 2646512
- Wang CC Li J Teo CS Lee T The delivery of BCNU to brain tumors J Control Release 1999 8 21 41 10469900
- Tan WHK Wang F Lee T Wang C-H Computer simulation of the delivery of etanidazole to brain tumor from PLGA wafers: comparison between linear and double burst release systems Biotechnol Bioeng 2003 8 278 288 12599254
- Zhao J Salmon H Sarntinoranont M Effect of heterogeneous vasculature on interstitial transport within a solid tumor Microvasc Res 2007 8 224 236 17307203
- Arifin DY Lee KYT Wang C-H Chemotherapeutic drug transport to brain tumor J Control Release 2009 8 203 210 19376172
- Pishko GL Astary GW Mareci TH Sarntinoranont M Sensitivity analysis of an image-based solid tumor computational model with heterogeneous vasculature and porosity Ann Biomed Eng 2011 8 2360 2373 21751070 PMC3373181
- Soltani M Chen P Numerical modeling of fluid flow in solid tumors PLoS One 2011 8 1 15 PMC3108959 21673952
- Soltani M Chen P Numerical modeling of interstitial fluid flow coupled with blood flow through a remodeled solid tumor microvascular network PLoS One 2013 8 e67025 23840579 PMC3694139
- Soltani M Numerical modeling of drug delivery to solid tumor microvasculature 2012 Waterloo, Ontario, Canada: PhD thesis, Chem. Eng. (Nanotechnology)
- Sefidgar M Raahemifar K Bazmara H Bazargan M Mousavi SM Soltani M Effect of remodeled tumor-induced capillary network on interstitial flow in cancerous tissue 2nd Middle East Conf:17-20 February 201;Doha, Qatar 2014 Biomed. Eng. IEEE 212 215
- Netti PA Berk DA Swartz MA Grodzinsky AJ Jain RK Role of extracellular matrix assembly in interstitial transport in solid tumors Cancer Res 2000 8 2497 2503 10811131
- Mayr NA Yuh WTC Zheng J Ehrhardt JC Sorosky JI Magnotta VA Pelsang RE Hussey DH Tumor size evaluated by pelvic examination compared with 3-D MR quantitative analysis in the prediction of outcome for cervical cancer Int J Radiat Oncol Biol Phys 1997 8 395 404 9308943
- Kim HJ Kim W Method of tumor volume evaluation using magnetic resonance imaging for outcome prediction in cervical cancer treated with concurrent chemotherapy and radiotherapy Radiat Oncol J 2012 8 70 77 22984685 PMC3429891
- Ayers GD Mckinley ET Zhao P Fritz JM Metry RE Deal BC Adlerz KM Coffey RJ Manning HC Volume of preclinical xenograft tumors is more accurately assessed by ultrasound imaging than manual caliper measurements J Ultrasound Med 2010 8 891 901 20498463 PMC2925269
- Narayan K Fisher R Bernshaw D Significance of tumor volume and corpus uteri invasion in cervical cancer patients treated by radiotherapy Int J Gynecol Cancer 2006 8 623 630 16681737
- Char D Kroll S Phillips T Uveal melanoma: growth rate and prognosis Arch Ophthalmol 1997 8 1014 1018 9258223
- Jensen PK Hansen MK Ultrasonographic, three-dimensional scanning for determination of intraocular tumor volume Acta Ophthalmol 1991 8 178 186 1872136
- Gass J Donald M Comparison of uveal melanoma growth rates with mitotic index and mortality Arch Ophthalmol 1985 8 924 931 4015483
- Arifin DY Lee LY Wang C-H Mathematical modeling and simulation of drug release from microspheres: implications to drug delivery systems Adv Drug Deliv Rev 2006 8 1274 1325 17097189
- Huber PE Bischof M Heiland S Peschke P Saffrich R Gro H Lipson KE Abdollahi A Trimodal cancer treatment: beneficial effects of combined antiangiogenesis, radiation, and chemotherapy Cancer Res 2005 8 3643 3655 15867359
- Jain RK Tong RT Munn LL Effect of vascular normalization by antiangiogenic therapy on interstitial hypertension, peritumor edema, and lymphatic metastasis: insights from a mathematical model Cancer Res 2007 8 2729 2735 17363594 PMC3022341
- Nielsen T Murata R Maxwell RJ Stødkilde-Jørgensen H Ostergaard L Ley CD Kristjansen PEG Horsman MR Non-invasive imaging of combretastatin activity in two tumor models: association with invasive estimates Acta Oncol 2010 8 906 913 20831477
- Hompland T Ellingsen C Øvrebø KM Rofstad EK Interstitial fluid pressure and associated lymph node metastasis revealed in tumors by dynamic contrast-enhanced MRI interstitial fluid pressure and associated lymph node Cancer Res 2012 8 4899 4908 23027087
- Welter M Rieger H Interstitial fluid flow and drug delivery in vascularized tumors: a computational model PLoS One 2013 8 e70395 23940570 PMC3734291
- Gutmann R Leunig M Feyh J Goetz AE Messmer K Kastenbauer E Jain RK Advances in brief interstitial hypertension in head and neck tumors in patients: correlation with tumor size Cancer Res 1992 8 1993 1995 1551128
- Hompland T Ellingsen C Rofstad EK Preclinical evaluation of Gd-DTPA and gadomelitol as contrast agents in DCE-MRI of cervical carcinoma interstitial fluid pressure BMC Cancer 2012 8 2 10 PMC3559248 23173554
- Leguerney I Lassau N Koscielny S Rodrigues M Massard C Rouffiac V Benatsou B Thalmensi J Bawa O Opolon P Peronneau P Roche A Combining functional imaging and interstitial pressure measurements to evaluate two anti-angiogenic treatments Invest New Drugs 2012 8 144 156 20924644
- Au JL Jang SH Zheng J Chen CT Song S Hu L Wientjes MG Determinants of drug delivery and transport to solid tumors J Control Release 2001 8 31 46 11489481
- Mccarty WJ Johnson M The hydraulic conductivity of Matrigel Biorheology 2007 8 303 317 18401073 PMC2562030
- Wu M Frieboes HB McDougall SR Chaplain MAJ Cristini V Lowengrub J The effect of interstitial pressure on tumor growth: coupling with the blood and lymphatic vascular systems J Theor Biol 2013 8 131 151 23220211 PMC3576147
- Vafai K Porous Media, Application in Biological systems and biotechnology 2011 Boca Raton: CRC Press
- Wapnir IL Barnard N Wartenberg D Greco RS The inverse relationship between microvessel counts and tumor volume in breast cancer Breast J 2001 8 184 188 11469933
- Sosna J Rofsky NM Gaston SM DeWolf WC Lenkinski RE Determinations of prostate volume at 3-Tesla using an external phased array coil: comparison to pathologic specimens Acad Radio 2003 8 846 853 12945918
- Egorov V Ayrapetyan S Sarvazyan AP Prostate mechanical imaging: 3-D image composition and feature calculations IEEE Trans Med Imaging 2008 8 1329 1340 PMC2572682 17024836
- Mayr NA Taoka T Yuh WTC Denning LM Zhen WK Paulino AC Gaston RC Sorosky JI Meeks SL Walker JL Mannel RS Buatti JM Method and timing of tumor volume measurement for outcome prediction in cervical cancer using magnetic resonance imaging Int J Radiat Oncol Biol Phys 2002 8 14 22 11777618
- Schmidt K Ziu M Ole Schmidt N Vaghasia P Cargioli T Doshi S Albert M Black P Carroll R Sun Y Volume reconstruction techniques improve the correlation between histological and in vivo tumor volume measurements in mouse models of human gliomas J Neurooncol 2004 8 207 215 15332323
- James K Eisenhauer E Christian M Terenziani M Vena D Muldal A Therasse P Measuring response in solid tumors: unidimensional versus bidimensional measurement J Natl Cancer Inst 1999 8 523 528 10088622
Cited by
Sorted by citations
Trujillo-de Santiago, G., Flores-Garza, B. G., Tavares-Negrete, J. A., Lara-Mayorga, I. M., González-Gamboa, I., Zhang, Y. S., Rojas-Martínez, A., Ortiz-López, R., & Álvarez, M. M. (2019) · Materials · doi:10.3390/ma12182945 · Cited by 184 · see citing works
“For instance, recently published literature discusses the role of the size of a tumor (and the associated hypoxia levels) on its aggressiveness [81–85] and on the efficacy of drug delivery to it [84,86,87].”
Background
- Authors
- Sefidgar, M., Soltani, M., Raahemifar, K., Bazmara, H., Nayinian, S. M. M., & Bazargan, M.
- Affiliations
- Johns Hopkins University (US)
- Toronto Metropolitan University (CA)
- Corresponding author
- Soltani, M
- Venue
- Journal of Biological Engineering
- Published
- 2014-06-12
- Volume
- 8
- Issue
- 1
- Pages
- 12-12
- ISSN
- 1754-1611 (ISSN-L)
- PMC
- PMC4076317
- OpenAlex
- W2137780330
- Cited by
- 128
- References
- 1
- Citations by year
- 2026: 5 · 2025: 10 · 2024: 11 · 2023: 11 · 2022: 16 · 2021: 19 · 2020: 16 · 2019: 9 · 2018: 10 · 2017: 6 · 2016: 6 · 2015: 7 · 2014: 2
- FWCI
- 6.74
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- cc-by
- Locations
- Journal of Biological Engineering (publishedVersion, cc-by)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Modeling and Simulation › Mathematical Biology Tumor Growth
- Physical Sciences › Materials Science › Biomaterials › Nanoparticle-Based Drug Delivery
- Health Sciences › Medicine › Oncology › Cancer Cells and Metastasis
- Keywords
- tumor shape, tumor size, interstitial fluid flow, solute transport, diffusion, convection, extracellular matrix, hydraulic conductivity, effective pressure, lymphatic drainage, finite volume method, sensitivity analysis
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