Abstract
Mechanical stresses in solid tumors play an important role in tumor progression and treatment efficacy but their quantification is under-investigated. Here, we developed an experimental and computational approach to calculate growth-induced, residual stresses and applied it to the breast (4T1), pancreatic (PAN02), and fibrosarcoma (MCA205) tumor models. Following resection, tumors are embedded in agarose gels and cuts are made in two perpendicular directions to release residual stress. With the use of image processing, the detailed bulging displacement profile is measured and finite elements models of the bulging geometry are developed for the quantification of the stress levels. The mechanical properties of the tumors are measured in vivo prior to resection with shear wave elastography. We find that the average magnitude of residual stresses ranges from 3.31 to 10.88 kPa, and they are non-uniformly distributed within the tissue due to the heterogeneity of the tumor microenvironment. Interestingly, we demonstrate that a second cut can still release a significant amount of stresses. We further find a strong association of spatial hyaluronan and collagen content with the spatial profile of stress for the MCA205 and PAN02 tumors and a partial association for the 4T1. Interestingly the colocalization of hyaluronan and collagen content had a stronger association with the spatial profile of stress for MCA205, PAN02, and 4T1. Finally, measurements of the elastic modulus with shear wave elastography show a nonlinear correlation with tumor volume for the more fibrotic MCA205 and 4T1 tumors. Overall, our results provide insights for a better understanding of the mechanical behavior of tumors.
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References
Ahmad S, Cao R, Varghese T, Bidaut L, Nabi G (2013) Transrectal quantitative shear wave elastography in the detection and characterisation of prostate cancer. Surg Endosc 27(9):3280–3287. https://doi.org/10.1007/S00464-013-2906-7/TABLES/1
Barr RG, Memo R, Schaub CR (2012) Shear wave ultrasound elastography of the prostate: initial results. Ultrasound Q 28(1):13–20. https://doi.org/10.1097/RUQ.0B013E318249F594
Campàs O, Mammoto T, Hasso S, Sperling RA, O’connell D, Bischof AG, Maas R, Weitz DA, Mahadevan L, Ingber DE (2013) Quantifying cell-generated mechanical forces within living embryonic tissues. Nat Methods 11(2):183–189. https://doi.org/10.1038/nmeth.2761
Canny J (1986) A computational approach to edge detection. IEEE Trans Pattern Anal Mach Intell 8(6):679–698. https://doi.org/10.1109/TPAMI.1986.4767851
Cleveland WS (1979) Robust locally weighted regression and smoothing scatterplots. J Am Stat Assoc 74(368):829–836. https://doi.org/10.1080/01621459.1979.10481038
Corbett TH, Wilkoff LJ, Griswold DP, Schabel FM, Peckham JC, Roberts BJ, Leopold WR (1984) Induction and chemotherapeutic response of two transplantable ductal adenocarcinomas of the pancreas in C57BL/6 mice. Can Res 44(2):717–726
Egeblad M, Rasch MG, Weaver VM (2010) Dynamic interplay between the collagen scaffold and tumor evolution. Curr Opin Cell Biol 22(5):697–706. https://doi.org/10.1016/J.CEB.2010.08.015
Erkan M, Reiser-Erkan C, W. Michalski C, Kong B, Esposito I, Friess H, Kleeff J (2012) The Impact of the activated stroma on pancreatic ductal adenocarcinoma biology and therapy resistance. Curr Mol Med 12(3):288–303. https://doi.org/10.2174/156652412799218921
Grashoff C, Hoffman BD, Brenner MD, Zhou R, Parsons M, Yang MT, McLean MA, Sligar SG, Chen CS, Ha T, Schwartz MA (2010) Measuring mechanical tension across vinculin reveals regulation of focal adhesion dynamics. Nature 466(7303):263–266. https://doi.org/10.1038/nature09198
Helmlinger G, Netti PA, Lichtenbeld HC, Melder RJ, Jain RK (1997) Solid stress inhibits the growth of multicellular tumor spheroids. Nat Biotechnol 15(8):778–783. https://doi.org/10.1038/nbt0897-778
Incio J, Suboj P, Chin SM, Vardam-Kaur T, Liu H, Hato T, Babykutty S, Chen I, Deshpande V, Jain RK, Fukumura D (2015) Metformin reduces desmoplasia in pancreatic cancer by reprogramming stellate cells and tumor-associated macrophages. PLoS ONE 10(12):e0141392. https://doi.org/10.1371/JOURNAL.PONE.0141392
Islam MT, Tang S, Liverani C, Saha S, Tasciotti E, Righetti R (2020) Non-invasive imaging of Young’s modulus and Poisson’s ratio in cancers in vivo. Sci Rep 10(1):1–12. https://doi.org/10.1038/s41598-020-64162-6
Jain RK (2008) Taming vessels to treat cancer. Sci Am 298(1):56–63. https://doi.org/10.1038/scientificamerican0108-56
Jain RK (2013) Normalizing tumor microenvironment to treat cancer: bench to bedside to biomarkers. J Clin Oncol 31(17):2205–2218. https://doi.org/10.1200/JCO.2012.46.3653
Jain RK (2014) Antiangiogenesis strategies revisited: from starving tumors to alleviating hypoxia. Cancer Cell, vol 26. Cell Press, Cambridge, pp 605–622. https://doi.org/10.1016/j.ccell.2014.10.006
Jain RK, Martin JD, Stylianopoulos T (2014) The role of mechanical forces in tumor growth and therapy. Annu Rev Biomed Eng 16(1):321–346. https://doi.org/10.1146/annurev-bioeng-071813-105259
Kalli M, Papageorgis P, Gkretsi V, Stylianopoulos T (2018) Solid stress facilitates fibroblasts activation to promote pancreatic cancer cell migration. Ann Biomed Eng 46(5):657–669. https://doi.org/10.1007/S10439-018-1997-7/FIGURES/7
Kalli M, Minia A, Pliaka V, Fotis C, Alexopoulos LG, Stylianopoulos T (2019) Solid stress-induced migration is mediated by GDF15 through Akt pathway activation in pancreatic cancer cells. Sci Rep 9(1):1–12. https://doi.org/10.1038/s41598-018-37425-6
Kalli M, Li R, Mills GB, Stylianopoulos T, Zervantonakis IK (2022) Mechanical stress signaling in pancreatic cancer cells triggers p38 MAPK- and JNK-dependent cytoskeleton remodeling and promotes cell migration via Rac1/cdc42/Myosin II. Mol Cancer Res 20(3):485–497. https://doi.org/10.1158/1541-7786.MCR-21-0266/3017601/MCR-21-0266.PDF
Kingsbury N (2001) Complex wavelets for shift invariant analysis and filtering of signals. Appl Comput Harmon Anal 10(3):234–253. https://doi.org/10.1006/ACHA.2000.0343
Levayer R (2020) Solid stress, competition for space and cancer: the opposing roles of mechanical cell competition in tumour initiation and growth. Semin Cancer Biol 63:69–80. https://doi.org/10.1016/J.SEMCANCER.2019.05.004
Lau TY, Ambekar R, Toussaint KC (2012) Quantification of collagen fiber organization using three-dimensional Fourier transform-second-harmonic generation imaging. Optics Exp 20(19):21821–21832. https://doi.org/10.1364/OE.20.021821
Mpekris F, Panagi M, Voutouri C, Martin JD, Samuel R, Takahashi S, Gotohda N, Suzuki T, Papageorgis P, Demetriou P, Pierides C, Koumas L, Costeas P, Kojima M, Ishii G, Constantinidou A, Kataoka K, Cabral H, Stylianopoulos T (2021) Normalizing the microenvironment overcomes vessel compression and resistance to nano-immunotherapy in breast cancer lung metastasis. Adv Sci 8(3):2001917. https://doi.org/10.1002/ADVS.202001917
Mpekris F, Voutouri C, Panagi M, Baish JW, Jain RK, Stylianopoulos T (2022) Normalizing tumor microenvironment with nanomedicine and metronomic therapy to improve immunotherapy. J Control Release 345:190–199
Nia HT, Liu H, Seano G, Datta M, Jones D, Rahbari N, Incio J, Chauhan VP, Jung K, Martin JD, Askoxylakis V, Padera TP, Fukumura D, Boucher Y, Hornicek FJ, Grodzinsky AJ, Baish JW, Munn LL, Jain RK (2016) Solid stress and elastic energy as measures of tumour mechanopathology. Nat Biomed Eng 1(1):1–11. https://doi.org/10.1038/s41551-016-0004
Padera TP, Stoll BR, Tooredman JB, Capen D, di Tomaso E, Jain RK (2004) Cancer cells compress intratumour vessels. Nature 427(6976):695
Panagi M, Voutouri C, Mpekris F, Papageorgis P, Martin MR, Martin JD, Demetriou P, Pierides C, Polydorou C, Stylianou A, Louca M, Koumas L, Costeas P, Kataoka K, Cabral H, Stylianopoulos T (2020) TGF-β inhibition combined with cytotoxic nanomedicine normalizes triple negative breast cancer microenvironment towards anti-tumor immunity. Theranostics 10(4):1910–1922. https://doi.org/10.7150/THNO.36936
Panagi M, Mpekris F, Chen P, Voutouri C, Nakagawa Y, Martin JD, Hiroi T, Hashimoto H, Demetriou P, Pierides C, Samuel R, Stylianou A, Michael C, Fukushima S, Georgiou P, Papageorgis P, Papaphilippou PC, Koumas L, Costeas P, Stylianopoulos T (2022) Polymeric micelles effectively reprogram the tumor microenvironment to potentiate nano-immunotherapy in mouse breast cancer models. Nat Commun 13(1):1–14. https://doi.org/10.1038/s41467-022-34744-1
Perentes JY, McKee TD, Ley CD, Mathiew H, Dawson M, Padera TP, Munn LL, Jain RK, Boucher Y (2009) In vivo imaging of extracellular matrix remodeling by tumor-associated fibroblasts. Nat Methods 6(2):143–145. https://doi.org/10.1038/nmeth.1295
Püspöki Z, Storath M, Sage D, Unser M (2016) Transforms and operators for directional bioimage analysis: a survey. Adv Anat Embryol Cell Biol 219:69–93. https://doi.org/10.1007/978-3-319-28549-8_3/FIGURES/8
Rezakhaniha R, Agianniotis A, Schrauwen JTC, Griffa A, Sage D, Bouten CVC, Van De Vosse FN, Unser M, Stergiopulos N (2012) Experimental investigation of collagen waviness and orientation in the arterial adventitia using confocal laser scanning microscopy. Biomech Model Mechanobiol 11(3–4):461–473. https://doi.org/10.1007/S10237-011-0325-Z/METRICS
Roose T, Netti PA, Munn LL, Boucher Y, Jain RK (2003) Solid stress generated by spheroid growth estimated using a linear poroelasticity model☆. Microvasc Res 66(3):204–212. https://doi.org/10.1016/S0026-2862(03)00057-8
Selesnick IW, Baraniuk RG, Kingsbury NG (2005) The dual-tree complex wavelet transform. IEEE Signal Process Mag 22(6):123–151. https://doi.org/10.1109/MSP.2005.1550194
Selesnick IW, Li KY (2003) Video denoising using 2D and 3D dual-tree complex wavelet transforms. In: Wavelets: applications in signal and image processing X, SPIE. Vol 5207, pp 607–618. https://doi.org/10.1117/12.504896
Skalak R, Zargaryan S, Jain RK, Netti PA, Hoger A (1996) Compatibility and the genesis of residual stress by volumetric growth. J Math Biol 34(8):889–914. https://doi.org/10.1007/BF01834825
Smith MJT (1992) A filter bank for the directional decomposition of images: theory and design. IEEE Trans Signal Process 40(4):882–893. https://doi.org/10.1109/78.127960
Stylianopoulos T (2017) The solid mechanics of cancer and strategies for improved therapy. J Biomech Eng. https://doi.org/10.1115/1.4034991/367934
Stylianopoulos T, Martin JD, Chauhan VP, Jain SR, Diop-Frimpong B, Bardeesy N, Smith BL, Ferrone CR, Hornicek FJ, Boucher Y, Munn LL, Jain RK (2012) Causes, consequences, and remedies for growth-induced solid stress in murine and human tumors. Proc Natl Acad Sci USA 109(38):15101–15108. https://doi.org/10.1073/PNAS.1213353109/SUPPL_FILE/SM02.MOV
Stylianopoulos T, Martin JD, Snuderl M, Mpekris F, Jain SR, Jain RK (2013) Coevolution of solid stress and interstitial fluid pressure in tumors during progression: implications for vascular collapse. Can Res 73(13):3833–3841. https://doi.org/10.1158/0008-5472.CAN-12-4521
Stylianopoulos T, Munn LL, Jain RK (2018) Reengineering the physical microenvironment of tumors to improve drug delivery and efficacy: from mathematical modeling to bench to bedside. Trends in cancer, vol 4. Cell Press, Cambridge, pp 292–319. https://doi.org/10.1016/j.trecan.2018.02.005
Suklabaidya S, Dash P, Das B, Suresh V, Sasmal PK, Senapati S (2017) Experimental models of pancreatic cancer desmoplasia. Lab Investig 98(1):27–40. https://doi.org/10.1038/labinvest.2017.127
Tomasek JJ, Gabbiani G, Hinz B, Chaponnier C, Brown RA (2002) Myofibroblasts and mechano-regulation of connective tissue remodelling. Nat Rev Mol Cell Biol 3(5):349–363. https://doi.org/10.1038/nrm809
Tse JM, Cheng G, Tyrrell JA, Wilcox-Adelman SA, Boucher Y, Jain RK, Munn LL (2012) Mechanical compression drives cancer cells toward invasive phenotype. Proc Natl Acad Sci USA 109(3):911–916. https://doi.org/10.1073/PNAS.1118910109/SUPPL_FILE/SM04.MOV
Vakoc BJ, Lanning RM, Tyrrell JA, Padera TP, Bartlett LA, Stylianopoulos T, Munn LL, Tearney GJ, Fukumura D, Jain RK, Bouma BE (2009) Three-dimensional microscopy of the tumor microenvironment in vivo using optical frequency domain imaging. Nat Med 15(10):1219–1223. https://doi.org/10.1038/nm.1971
Voutouri C, Stylianopoulos T (2018) Accumulation of mechanical forces in tumors is related to hyaluronan content and tissue stiffness. PLoS ONE 13(3):e0193801
Voutouri C, Polydorou C, Papageorgis P, Gkretsi V, Stylianopoulos T (2016) Hyaluronan-derived swelling of solid tumors, the contribution of collagen and cancer cells, and implications for cancer therapy. Neoplasia 18(12):732–741. https://doi.org/10.1016/J.NEO.2016.10.001
Voutouri C, Panagi M, Mpekris F, Stylianou A, Michael C, Averkiou MA, Martin JD, Stylianopoulos T (2021) Endothelin inhibition potentiates cancer immunotherapy revealing mechanical biomarkers predictive of response. Adv Ther 4:2000289
Wipff PJ, Rifkin DB, Meister JJ, Hinz B (2007) Myofibroblast contraction activates latent TGF-β1 from the extracellular matrix. J Cell Biol 179(6):1311–1323. https://doi.org/10.1083/JCB.200704042/VIDEO-6
Acknowledgements
We thank Ms. Christina Michael and Dr. Fotios Mpekris for technical support with the in vivo and ex vivo analysis and Dr. Panagiotis Papageorgis for providing us with the PAN02 cells. This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 863955).
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This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 863955).
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All authors have reviewed and approved the manuscript to its final version. AH contacted experiments and mathematical modeling and analyzed data. TS conceived and supervised the study. Both authors contributed to the writing and editing of the manuscript.
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Hadjigeorgiou, A.G., Stylianopoulos, T. Evaluation of growth-induced, mechanical stress in solid tumors and spatial association with extracellular matrix content. Biomech Model Mechanobiol 22, 1625–1643 (2023). https://doi.org/10.1007/s10237-023-01716-3
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DOI: https://doi.org/10.1007/s10237-023-01716-3