Biomechanics of breast tumor: effect of collagen and tissue density
Source abstract
Abstract
Various clinical studies have established the influence of breast tissue density on the onset and formation of breast tumor. In this paper we develop a mathematical correlation of the change in density with the change in collagen content and the corresponding change in the bio-mechanical characteristics of the breast tissue. The developed computational model is used in understanding the mechanical response of the breast tissue using multiscale mathematical homogenization techniques. The mathematical modeling is carried out using hyperelastic material formulations for the macro-scale finite element simulations and small strain material models for the lower order homogenization.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Composite Material Mechanics · Elasticity and Material Modeling · Ultrasound Imaging and Elastography
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References (44)
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1. Alowami, S., Troup, S., Al-Haddad, S., Kirkpatrick, I., Watson, P.: Mammographic density is related to stroma and stromal proteoglycan expression. Breast Cancer Res 5(5), R129–R135 (2003)10.1186/bcr622 ↗
2. Azar, F.S., Metaxas, D.N., Schnall, M.D.: Methods for modeling and predicting mechanical deformations of the breast under external perturbations. Med. Image Anal. 6(1), 1–27 (2002)10.1016/S1361-8415(01)00053-6 ↗
3. Barsky, S., Rao, C., Grotendorst, G., Liotta, L.: Increased content of type v collagen in desmoplasia of human breast carcinoma. Am. J. Pathol. 108(3), 276–283 (1982)
4. Biddis, E.A., Bogoch, E.R., Meguid, S.A.: Three-dimensional finite element analysis of prosthetic finger joint implants. Int. J. Mech. Mater. Des. 1(4), 317–328 (2004)10.1007/s10999-005-3308-3 ↗
5. Boerboom, R.A., Krahn, K.N., Megens, R.T.A., van Zandvoort, M.A.M.J., Merkx, M., Bouten, C.V.C.: High resolution imaging of collagen organisation and synthesis using a versatile collagen specific probe. J. Struct. Biol. 159(3), 392–399 (2007)10.1016/j.jsb.2007.04.008 ↗
6. Bonet, J.: Nonlinear Continuum Mechanics for Finite Element Analysis. 2nd ed. Cambridge University Press, Cambridge (2008)10.1017/CBO9780511755446 ↗
7. Buehler, M.J.: Nanomechanics of collagen fibrils under varying cross-link densities: atomistic and continuum studies. J. Mech. Behav. Biomed. Mater. 1(1), 59–67 (2008)10.1016/j.jmbbm.2007.04.001 ↗
8. Boyd, N.F., Guo, H., Martin, L.J., Sun, L., Stone, J., Fishell, E., Jong, R.A., Hislop, G., Chiarelli, A., Minkin, S., Yaffe, M.J.: Mammographic density and the risk and detection of breast cancer. N. Engl. J. Med. 356(3), 227–236 (2007)10.1056/NEJMoa062790 ↗
9. Couzin, J.: Breast cancer: dissecting a hidden breast cancer risk. Science 309(5741), 1664–1666 (2005)10.1126/science.309.5741.1664 ↗
10. Ferrari, M., Johnson, G.C.: Effective elasticities of short-fiber composites with arbitrary orientation distribution. Mech. Mater. 8(1), 67–73 (1989)10.1016/0167-6636(89)90006-9 ↗
11. Ferrari, M., Marzari, N.: A mori-tanaka theory for textured short-fiber composites: application. J. Energy Res. Technol. 114(2), 101–104 (1992)10.1115/1.2905928 ↗
12. Gelse, K., Poschl, E., Aigner, T.: Collagens–structure, function, and biosynthesis. Adv. Drug Deliv. Rev. 55(12), 1531–1546 (2003)10.1016/j.addr.2003.08.002 ↗
13. Ginsburg, O.M., Martin, L.J., Boyd, N.F.: Mammographic density, lobular involution, and risk of breast cancer. Br J Cancer 99(9), 1369–1374 (2008)10.1038/sj.bjc.6604635 ↗
14. Han, X., Burke, R.M., Zettel, M.L., Tang, P., Brown, E.B.: Second harmonic properties of tumor collagen: determining the structural relationship between reactive stroma and healthy stroma. Opt. Express 16(3), 1846–1859 (2008)10.1364/OE.16.001846 ↗
15. Hayat, M.: Breast Cancer: An Introduction, vol 1. of Methods of Cancer Diagnosis, Therapy and Prognosis: Breast Carcinoma. Springer, New Jersey (2009)
16. Jarocka-Cyrta, E., Bankowski, E., Jodczyk, K.K.: Collagen of breast with benign dysplasia. Patologia Polska 42(3), 83–86 (1991)
17. Julkunen, P., Korhonen, R.K., Herzog, W., Jurvelin, J.S.: Uncertainties in indentation testing of articular cartilage: a fibril-reinforced poroviscoelastic study. Med. Eng. Phys.30(4), 506–515 (2008)10.1016/j.medengphy.2007.05.012 ↗
18. Martin, L., Boyd, N.: Mammographic density. Potential mechanisms of breast cancer risk associated with mammographic density: hypotheses based on epidemiological evidence. Breast Cancer Res. 10(1), 201 (2008)10.1186/bcr1831 ↗
19. Marzari, N., Ferrari, M.: Textural and micromorphological effects on the overall elastic response of macroscopically anisotropic composites. J. Appl. Mech. Trans. ASME 59(2), 269–275 (1992)10.1115/1.2899516 ↗
20. Milanese, T.R., Hartmann, L.C., Sellers, T.A., Frost, M.H., Vierkant, R.A., Maloney, S.D., Pankratz, V.S., Degnim, A.C., Vachon, C.M., Reynolds, C.A., Thompson, R.A., Melton, I., Joseph, L., Goode, E.L., Visscher, D.W.: Age-related lobular involution and risk of breast cancer. J. Natl. Cancer Inst. 98(22), 1600–1607 (2006)10.1093/jnci/djj439 ↗
21. Mura, T.: Micromechanics of Defects in Solids, Hague. Martinus Nijhoff, The Netherlands (1997)
22. Ng, E.Y.K., Ng, W.K., Sim, L.S.J., Rajendra Acharya, U.: Numerical modelling of biopotential field for detection of breast tumour. Comput. Biol. Med. 37(8), 1121–1132 (2007)10.1016/j.compbiomed.2006.10.006 ↗
23. Odegard, G.M., Harik, V.M., Wise, K.E., Gates, T.S.: Constitutive modeling of nanotube-reinforced polymer composites. Compos. Sci. Technol.63, 1671–1687 (2003)10.1016/S0266-3538(03)00063-0 ↗
24. Oken, S.M., Mercado, C.L., Memeo, L., Hibshoosh, H.: Invasive ductal carcinoma with fibrotic focus: Mammographic and sonographic findings with histopathologic correlation. Am. J. Roentgenol. 185(2), 490–494 (2005)10.2214/ajr.185.2.01850490 ↗
25. Ophir, J., Alam, S., Garra, B., Kallel, F., Konofagou, E., Krouskop, T., Merritt, C., Righetti, R., Souchon, R., Srinivasan, S., Varghese, T.: Elastography: Imaging the elastic properties of soft tissues with ultrasound. J. Med. Ultrason. 29(4), 155–171 (2002)10.1007/BF02480847 ↗
26. Pabst, W., Gregorova, E.: Effective elastic properties of alumina-zirconia composite ceramics—part 2. Micromechanical modeling. Ceram. Silik. 48(1), 14–23 (2004)
27. Provenzano, P., Eliceiri, K., Campbell, J., Inman, D., White, J., Keely, P.: Collagen reorganization at the tumor-stromal interface facilitates local invasion. BMC Med. 4(1), 38 (2006)10.1186/1741-7015-4-38 ↗
28. Provenzano, P., Inman, D., Eliceiri, K., Knittel, J., Yan, L., Rueden, C., White, J., Keely, P.: Collagen density promotes mammary tumor initiation and progression. BMC Med. 6(1), 11 (2008)10.1186/1741-7015-6-11 ↗
29. Qiu, Y.P., Weng, G.J.: The influence of inclusion shape on the overall elastoplastic behavior of a two-phase isotropic composite. Int. J. Solids Struct. 27(12), 1537–1550 (1991)10.1016/0020-7683(91)90076-R ↗
30. Qiu, Y., Sridhar, M., Tsou, J.K., Lindfors, K.K., Insana, M.F.: Ultrasonic viscoelasticity imaging of nonpalpable breast tumors: preliminary results. Acad. Radiol. 15(12), 1526–1533 (2008)10.1016/j.acra.2008.05.023 ↗
31. Reddy, J.N.: An Introduction to Continuum Mechanics. Cambridge University Press, Cambridge (2008)
32. Shafer-Peltier, K.E., Haka, A.S., Fitzmaurice, M., Crowe, J., Myles, J., Dasari, R.R., Feld, M.S.: Raman microspectroscopic model of human breast tissue: implications for breast cancer diagnosis in vivo. J. Raman Spectrosc. 33(7), 552–563 (2002)10.1002/jrs.877 ↗
33. Sridhar, M., Liu, J., Insana, M.F.: Elasticity imaging of polymeric media. J. Biomech. Eng. 129(2), 259–272 (2007)10.1115/1.2540804 ↗
34. Stoeckelhuber, M., Stumpf, P., Hoefter, E., Welsch, U.: Proteoglycan-collagen associations in the non-lactating human breast connective tissue during the menstrual cycle. Histochem. Cell Biol. 118(3), 221–230 (2002)10.1007/s00418-002-0438-7 ↗
35. Strasser, S., Zink, A., Janko, M., Heckl, W.M., Thalhammer, S.: Structural investigations on native collagen type i fibrils using afm. Biochem. Biophys. Res. Commun. 354(1), 27–32 (2007)10.1016/j.bbrc.2006.12.114 ↗
36. Tanner, C., Schnabel, J.A., Hill, D.L.G., Hawkes, D.J., Leach, M.O., Hose, D.R.: Factors influencing the accuracy of biomechanical breast models. Med. Phys. 33(6), 1758–1769 (2006)10.1118/1.2198315 ↗
37. Taroni, P., Comelli, D., Pifferi, A., Torricelli, A., Cubeddu, R.: Absorption of collagen: effects on the estimate of breast composition and related diagnostic implications. J. Biomed. Opt. 12(1), 014021–4 (2007)10.1117/1.2699170 ↗
38. Unnikrishnan, G.U., Unnikrishnan, V.U., Reddy, J.N.: Tissue-fluid interface analysis using biphasic finite element method. Comput. Methods Biomech. Biomed. Eng.3(1), 1–8 (2008)
39. Unnikrishnan, G.U., Unnikrishnan, V.U., Reddy, J.N., Lim, C.T.: Review on the constitutive models of tumor tissue for computational analysis. Appl. Mech. Rev. 63(4), 040801 (2010)10.1115/1.4002427 ↗
40. Vachon, C.M., Pankratz, V.S., Scott, C.G., Maloney, S.D., Ghosh, K., Brandt, K.R., Milanese, T., Carston, M.J., Sellers, T.A.: Longitudinal trends in mammographic percent density and breast cancer risk. Cancer Epidemiol. Biomarkers Prev. 16(5), 921–928 (2007)10.1158/1055-9965.EPI-06-1047 ↗
41. Verschraegen, C., Vinh-Hung, V., Cserni, G., Gordon, R., Royce, M.E., Vlastos, G., Tai, P., Storme, G.: Modeling the effect of tumor size in early breast cancer. Ann. Surg. 241(2), 309–318 (2005)10.1097/01.sla.0000150245.45558.a9 ↗
42. Wernik, J.M., Meguid, S.A.: Coupling atomistics and continuum in solids: status, prospects, and challenges. Int. J. Mech. Mater. Des. 5(1), 79–110 (2009)10.1007/s10999-008-9087-x ↗
43. Wilson, W., van Donkelaar, C.C., van Rietbergen, B., Ito, K., Huiskes, R.: Stresses in the local collagen network of articular cartilage: a poroviscoelastic fibril-reinforced finite element study. J. Biomech. 37(3), 357–366 (2004)10.1016/S0021-9290(03)00267-7 ↗
44. Zysk, A.M., Boppart, S.A.: Computational methods for analysis of human breast tumor tissue in optical coherence tomography images. J. Biomed. Optic. 11(5), 054015 (2006)10.1117/1.2358964 ↗