期刊论文详细信息
Journal of Biological Engineering
Effect of tumor shape, size, and tissue transport properties on drug delivery to solid tumors
Majid Bazargan1  Seyed Mojtaba Mousavi Nayinian1  Hossein Bazmara1  Kaamran Raahemifar2  M Soltani3  Mostafa Sefidgar1 
[1] Department of Mechanical Engineering, K. N. T. University of Technology, Tehran, Iran;Electrical & Computer Department of Ryerson University, Toronto, Ontario;Division of Nuclear Medicine, Department of Radiology and Radiological Science, School of Medicine, Johns Hopkins University, Baltimore, MD, USA
关键词: Tissue transport properties;    Tumor shape and size;    Solid tumor;    Drug concentration;   
Others  :  804571
DOI  :  10.1186/1754-1611-8-12
 received in 2014-02-24, accepted in 2014-05-30,  发布年份 2014
PDF
【 摘 要 】

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.

【 授权许可】

   
2014 Sefidgar et al.; licensee BioMed Central Ltd.

【 预 览 】
附件列表
Files Size Format View
20140708063203957.pdf 2589KB PDF download
Figure 17. 74KB Image download
Figure 16. 60KB Image download
Figure 15. 109KB Image download
Figure 14. 101KB Image download
Figure 13. 99KB Image download
Figure 12. 69KB Image download
Figure 11. 69KB Image download
Figure 10. 73KB Image download
Figure 9. 56KB Image download
Figure 8. 59KB Image download
Figure 7. 67KB Image download
Figure 6. 65KB Image download
Figure 5. 72KB Image download
Figure 4. 76KB Image download
Figure 3. 64KB Image download
Figure 2. 68KB Image download
Figure 1. 73KB Image download
【 图 表 】

Figure 1.

Figure 2.

Figure 3.

Figure 4.

Figure 5.

Figure 6.

Figure 7.

Figure 8.

Figure 9.

Figure 10.

Figure 11.

Figure 12.

Figure 13.

Figure 14.

Figure 15.

Figure 16.

Figure 17.

【 参考文献 】
  • [1]Siegel R, Naishadham D, Jemal A: Cancer statistics. A Cancer J Clin 2013, 63:11-30.
  • [2]Soltani M, Chen P: Effect of tumor shape and size on drug delivery to solid tumors. J Biol Eng 2012, 6:4.
  • [3]Blakeslee S: Impenetrable tumors found to block even the newest cancer agents. [http://www.nytimes.com/1989/06/27/science/impenetrable-tumors-found-to-block-even-the-newest-cancer-agents.html webcite]
  • [4]Baxter LT, Jain RK: Transport of fluid and macromolecules in tumors IV: A microscopic model of the perivascular distribution. Microvasc Res 1991, 41:252-272.
  • [5]Baxter LT, Jain RK: Transport of fluid and macromolecules in tumors (II): role of heterogeneous perfusion and lymphatics. Microvasc Res 1990, 40:246-263.
  • [6]Baxter LT, Jain RK: Transport of fluid and macromolecules in tumors (iii): role of binding and metabolism. Microvasc Res 1991, 41:5-23.
  • [7]Jain RK, Baxter LT: Mechanisms of heterogeneous distribution of monoclonal antibodies and other macromolecules in tumors: significance of elevated interstitial pressure. Cancer Res 1988, 48:7022-7032.
  • [8]Baxter LT, Jain RK: Transport of fluid and macromolecules in tumors (I): role of interstitial pressure and convection. Microvasc Res 1989, 37:77-104.
  • [9]Saltzman WM, Radomsky ML: Drugs released from polymers: diffusion and elimination in brain tissue. Chem Engng Sci 1991, 46:2429-2444.
  • [10]Wang CH, Li J: Three-dimensional simulation of IgG delivery to tumors. Chem Eng Sci 1998, 53:3579-3600.
  • [11]Wang CC, Li J, Teo CS, Lee T: The delivery of BCNU to brain tumors. J Control Release 1999, 61:21-41.
  • [12]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, 82:278-288.
  • [13]Zhao J, Salmon H, Sarntinoranont M: Effect of heterogeneous vasculature on interstitial transport within a solid tumor. Microvasc Res 2007, 73:224-236.
  • [14]Arifin DY, Lee KYT, Wang C-H: Chemotherapeutic drug transport to brain tumor. J Control Release 2009, 137:203-210.
  • [15]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, 39:2360-2373.
  • [16]Soltani M, Chen P: Numerical modeling of fluid flow in solid tumors. PLoS One 2011, 6:1-15.
  • [17]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.
  • [18]Soltani M: Numerical modeling of drug delivery to solid tumor microvasculature. Waterloo, Ontario, Canada: PhD thesis, Chem. Eng. (Nanotechnology); 2012.
  • [19]Sefidgar M, Soltani M, Bazmara H, Mousavi M, Bazargan M, Elkamel A: Interstitial flow in cancerous tissue: effect of considering remodeled capillary network. J Tissue Sci Eng 2014, 4:1-8.
  • [20]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. In 2nd Middle East Conf:17-20 February 201;Doha, Qatar. Biomed. Eng. IEEE; 2014:212-215.
  • [21]Netti PA, Berk DA, Swartz MA, Grodzinsky AJ, Jain RK: Role of extracellular matrix assembly in interstitial transport in solid tumors. Cancer Res 2000, 60:2497-2503.
  • [22]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, 39:395-404.
  • [23]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, 30:70-77.
  • [24]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, 29:891-901.
  • [25]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, 16:623-630.
  • [26]Char D, Kroll S, Phillips T: Uveal melanoma: growth rate and prognosis. Arch Ophthalmol 1997, 115:1014-1018.
  • [27]Jensen PK, Hansen MK: Ultrasonographic, three-dimensional scanning for determination of intraocular tumor volume. Acta Ophthalmol 1991, 69:178-186.
  • [28]Gass J, Donald M: Comparison of uveal melanoma growth rates with mitotic index and mortality. Arch Ophthalmol 1985, 103:924-931.
  • [29]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, 58:1274-1325.
  • [30]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, 65:3643-3655.
  • [31]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, 67:2729-2735.
  • [32]Chauhan VP, Stylianopoulos T, Martin JD, Chen O, Kamoun WS, Bawendi MG, Fukumura D, Jain RK: Normalization of tumour blood vessels improves the delivery of nanomedicines in a size-dependent manner. Nat Nanotechnol 2012, 7:383-388.
  • [33]Arifin DY, Wang C, Smith KA: Patient-specific chemotherapeutic drug delivery to brain tumors. Mimics Innov Award 2007, 1:1-9.
  • [34]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, 49:906-913.
  • [35]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, 72:4899-4908.
  • [36]Welter M, Rieger H: Interstitial fluid flow and drug delivery in vascularized tumors: a computational model. PLoS One 2013, 8:e70395.
  • [37]Roy R, Riahi DN: Modeling blood flow in a brain tumor treated concurrently with radiotherapy and chemotherapy. Appl Math Phys 2013, 1:67-77.
  • [38]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, 52:1993-1995.
  • [39]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, 12:2-10.
  • [40]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, 30:144-156.
  • [41]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, 74:31-46.
  • [42]Mccarty WJ, Johnson M: The hydraulic conductivity of Matrigel. Biorheology 2007, 44:303-317.
  • [43]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, 320:131-151.
  • [44]Vafai K: Porous Media, Application in Biological systems and biotechnology. Boca Raton: CRC Press; 2011.
  • [45]Curry F: Mechanics and thermodynamics of transcapillary exchange, Handbook of Physiology, Section 2: The Cardiovascular System. Bethesda: Amer Physiol Soc; 1984.
  • [46]Orlanski I: A simple boundary condition for unbounded hyperbolic flows. J Comput Phys 1976, 21:251-269.
  • [47]Wapnir IL, Barnard N, Wartenberg D, Greco RS: The inverse relationship between microvessel counts and tumor volume in breast cancer. Breast J 2001, 7:184-188.
  • [48]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, 10:846-853.
  • [49]Egorov V, Ayrapetyan S, Sarvazyan AP: Prostate mechanical imaging: 3-D image composition and feature calculations. IEEE Trans Med Imaging 2008, 25:1329-1340.
  • [50]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, 52:14-22.
  • [51]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, 68:207-215.
  • [52]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, 91:523-528.
  • [53]Soltani M, Chen P: Shape design of internal flow with minimum pressure loss. Adv Sci Lett 2009, 2:347-355.
  文献评价指标  
  下载次数:244次 浏览次数:51次