Iranian Journal of Mechanical Engineering Transactions of the ISME

Iranian Journal of Mechanical Engineering Transactions of the ISME

Viscoelastic Analysis of Malignant Breast Tumors using Fractional Derivative Model and in Vitro Test Data

Document Type : Research Paper

Authors
1 M.Sc., Student, Department of Mechanical Engineering, K. N. Toosi University of Technology, Tehran, Iran
2 Associate Professor, Department of Mechanical Engineering, K. N. Toosi University of Technology, Tehran, Iran
Abstract
Examining the breast mechanical behavior helps with early diagnosis and successful treatment. Identification of tumor malignancy by evaluating its mechanical behavior can significantly facilitate early detection task. In the present study, using a precise viscoelastic model based on time-dependent tissue behavior, the breast mechanical behavior has been investigated to distinguish malignant from benign tumors. For this purpose, benign and malignant samples have been collected, and in vitro ramp-relaxation test has been performed. The Kelvin-Voight fractional derivative model has been fitted to experimental data with an accuracy of 0.97 and the model parameters have been well estimated. For malignant samples, the mean of elasticity, fluidity, and time constant are equal to 70MPa, 0.22, and 180s, respectively. It has been concluded that malignant and benign samples significantly differ in the value of viscoelastic parameters. The findings have been evaluated based on pathology images and results demonstrate a positive correlation between the mechanical characteristics and density of cancer cells. Furthermore, it emphasizes the importance of understanding this correlation in order to enhance the accuracy and effectiveness of breast cancer diagnosis by medical professionals.
Keywords

Subjects


[1]        D. Kashyap, D. Pal, R. Sharma, V. K. Garg, N. Goel, D. Koundal, A. Zaguia, S. Koundal, and A. Belay "Global Increase in Breast Cancer Incidence: Risk Factors and Preventive Measures," BioMed Research International, Vol. 2022, 2022, doi: https://doi.org/10.1155/2022/9605439.
 
[2]        A. I. Riggio, K. E. Varley, and A. L. Welm, "The Lingering Mysteries of Metastatic Recurrence in Breast Cancer," British Journal of Cancer, Vol. 124, No. 1, pp. 13-26, 2021, doi: https://doi.org/10.1038/s41416-020-01161-4.
 
[3]        A. Weber, M. d. Vivanco, and J. L. Toca-Herrera, "Application of Self-organizing Maps to AFM-based Viscoelastic Characterization of Breast Cancer Cell Mechanics," Scientific Reports, Vol. 13, No. 1, p. 3087, 2023, doi: https://doi.org/10.1038/s41598-023-30156-3.
 
[4]        S. S. Abu-Naser and B. G. Bastami, "A Proposed Rule Based System for Breasts Cancer Diagnosis," World Wide Journal of Multidisciplinary Research and Development, pp. 27-33, 2016, [Online], Available: https://wwjmrd.com/upload/a-proposed-rule-based-system-for-breasts--cancer-diagnosis-.pdf.
 
[5]        E. Pasquier, J. Rosendahl, A. Solberg, A. Ståhlberg, J. Håkansson, and G. Chinga-Carrasco, "Polysaccharides and Structural Proteins as Components in Three-dimensional Scaffolds for Breast Cancer Tissue Models: A Review," Bioengineering, Vol. 10, No. 6, p. 682, 2023, doi: https://doi.org/10.3390/bioengineering10060682.
 
[6]        https://www.who.int/news-room/fact-sheets/detail/breast-cancer (accessed).
 
[7]        L. Wilkinson and T. Gathani, "Understanding Breast Cancer as a Global Health Concern," The British Journal of Radiology, Vol. 95, No. 1130, p. 20211033, 2022, doi: https://doi.org/10.1259/bjr.20211033.
 
[8]        A. Monshizadeh and A. Mojra, "Viscoelastic Analysis of Malignant Breast Tumors using Fractional Derivative Model Based on in Vitro Test Data," Presented at the 31st Annual Conference Between Iran Mechanical Engineering and the 9th Iran Power Plant Industry, 1402, [Online], Available: https://civilica.com/doc/1668617.
 
[9]        G. N. Sharma, R. Dave, J. Sanadya, P. Sharma, and K. Sharma, "Various Types and Management of Breast Cancer: An Overview," Journal of Advanced Pharmaceutical Technology & Research, Vol. 1, No. 2, pp. 109-126, 2010, [Online], Available: https://journals.lww.com/japtr/fulltext/2010/01020/various_types_and_management_of_breast_cancer__an.3.aspx.
[10]      K. Van Baelen, T. Geukens, M. Maetens, V. Tjan-Heijnen, C.J. Lord, S. Linn, F.-C. Bidard, F. Richard, W.W. Yang, R.E. Steele, S.J. Pettitt, C. Van Ongeval, M. De Schepper, E. Isnaldi, I. Nevelsteen, A. Smeets, K. Punie, L. Voorwerk, H. Wildiers, G. Floris, A. Vincent-Salomon, P.W.B. Derksen, P. Neven, E. Senkus, E. Sawyer, M. Kok, and C. Desmedt "Current and Future Diagnostic and Treatment Strategies for Patients with Invasive Lobular Breast Cancer," Annals of Oncology, Vol. 33, No. 8, pp. 769-785, 2022, doi: https://doi.org/10.1016/j.annonc.2022.05.006.
 
[11]      A. Mojra and K. Hooman, "Viscoelastic Parameters of Invasive Breast Cancer in Correlation with Porous Structure and Elemental Analysis Data," Computer Methods and Programs in Biomedicine, Vol. 212, p. 106482, 2021, doi: https://doi.org/10.1016/j.cmpb.2021.106482.
 
[12]      L. Wang, "Early Diagnosis of Breast Cancer," Sensors, Vol. 17, No. 7, p. 1572, 2017, doi: https://doi.org/10.3390/s17071572.
 
[13]      R. Beňačka, D. Szabóová, Z. Guľašová, Z. Hertelyová, and J. Radoňák, "Classic and New Markers in Diagnostics and Classification of Breast Cancer," Cancers, Vol. 14, No. 21, p. 5444, 2022, doi: https://doi.org/10.3390/cancers14215444.
 
[14]      K. K. Dwivedi, P. Lakhani, S. Kumar, and N. Kumar, "A Hyperelastic Model to Capture the Mechanical Behaviour and Histological Aspects of the Soft Tissues," Journal of the Mechanical Behavior of Biomedical Materials, Vol. 126, p. 105013, 2022, doi: https://doi.org/10.1016/j.jmbbm.2021.105013.
 
[15]      A. Tecse, S. E. Romero, C. Romero, R. Naemi, and B. Castaneda, "Mechanical Validation of Viscoelastic Parameters for Different Interface Pressures using the Kelvin-Voigt Fractional Derivative Model," in 2022 44th Annual International Conference of the IEEE Engineering in Medicine & Biology Society (EMBC), 2022: IEEE, Glasgow, Scotland, United Kingdom, pp. 1512-1515, doi: https://doi.org/10.1109/EMBC48229.2022.9872009.
 
[16]      S. Qiu, X. Zhao, J. Chen, J. Zeng, S. Chen, L. Chen, Y. Meng, B. Liu, H. Shan, M. Gao, and Y. Feng "Characterizing Viscoelastic Properties of Breast Cancer Tissue in a Mouse Model using Indentation," Journal of Biomechanics, Vol. 69, pp. 81-89, 2018, doi: https://doi.org/10.1016/j.jbiomech.2018.01.007.
 
[17]      S. Dempsey and A. Samani, "Mechanical Properties of Breast Tissue," in Biomechanics of the Female Reproductive System: Breast and Pelvic Organs: Elsevier, pp. 169-207, 2023, doi:10.1016/b978-0-12-823403-7.00019-1.
 
[18]      A. M. Teixeira and P. Martins, "A Review of Bioengineering Techniques Applied to Breast Tissue: Mechanical Properties, Tissue Engineering and Finite Element Analysis," Frontiers in Bioengineering and Biotechnology, Vol. 11, p. 1161815, 2023, doi: https://doi.org/10.3389/fbioe.2023.1161815.
 
[19]      N. G. Ramiao, P. S. Martins, R. Rynkevic, A. A. Fernandes, M. Barroso, and D. C. Santos, "Biomechanical Properties of Breast Tissue, a State-of-the-art Review," Biomechanics and Modeling in Mechanobiology, Vol. 15, pp. 1307-1323, 2016, doi: https://doi.org/10.1007/s10237-016-0763-8.
 
[20]      A. Tecse, S. E. Romero, R. Naemi, and B. Castaneda, "Characterisation of the Soft Tissue Viscous and Elastic Properties using Ultrasound Elastography and Rheological Models: Validation and Applications in Plantar Soft Tissue Assessment," Physics in Medicine & Biology, Vol. 68, No. 10, p. 105005, 2023, doi: 10.1088/1361-6560/acc923.
 
[21]      H. Zhang, Y. Guo, Y. Zhou, H. Zhu, P. Wu, K. Wang, L. Ruan, M. Wan and M. F. Insana "Fluidity and Elasticity Form a Concise Set of Viscoelastic Biomarkers for Breast Cancer Diagnosis Based on Kelvin–Voigt Fractional Derivative Modeling," Biomechanics and Modeling in Mechanobiology, Vol. 19, No. 6, pp. 2163-2177, 2020, doi: https://doi.org/10.1007/s10237-020-01330-7.
 
[22]      Y. Zhou, Y. Song, Z. Liu, W. Li, Y. Guo, L.A. Matkovic, X. Yang, R. Ma, M. Wan, L. Ruan, and H. Zhang "The Viscoelastic Characteristics of In-vitro Carotid Plaque by Kelvin-Voigt Fractional Derivative Modeling," Journal of Biomechanics, Vol. 141, p. 111210, 2022, doi: https://doi.org/10.1016/j.jbiomech.2022.111210.
 
[23]      H. Zhang, Y. Wang, and M. F. Insana, "Ramp-hold Relaxation Solutions for the KVFD Model Applied to Soft Viscoelastic Media," Measurement Science and Technology, Vol. 27, No. 2, p. 025702, 2016, doi: 10.1088/0957-0233/27/2/025702.
 
[24]      T. Ezenwafor, V. Anye, J. Madukwe, S. Amin, J. Obayemi, O. Odusanya, and W. Soboyejo "Nanoindentation Study of the Viscoelastic Properties of Human Triple Negative Breast Cancer Tissues: Implications for Mechanical Biomarkers," Acta Biomaterialia, Vol. 158, pp. 374-392, 2023, doi: https://doi.org/10.1016/j.actbio.2023.01.011.
 
[25]      L. Ovalle-Flores, M. Rodríguez-Nieto, D. Zárate-Triviño, C. Rodríguez-Padilla, and J. L. Menchaca, "Methodologies and Models for Measuring Viscoelastic Properties of Cancer Cells: Towards a Universal Classification," Journal of the Mechanical Behavior of Biomedical Materials, Vol. 140, p. 105734, 2023, doi: https://doi.org/10.1016/j.jmbbm.2023.105734.
 
[26]      H. Helisaz, "An Investigation of Cancer Effect on Viscoelastic Properties of Prostate Gland via Quasi-linear Viscoelastic Model," PhD Thesis,
University of British Columbia, Vancouver, 2022, doi:10.14288/1.0420751, http://hdl.handle.net/2429/82760.
[27]      E. Cavalcanti, M. Scaramuzzi, and R. Armentano, "A New Reliable Method for Tissue Preservation," Pathology - Research and Practice, Vol. 234, p. 153910, 2022, doi: https://doi.org/10.1016/j.prp.2022.153910.
 
[28]      H. Zhang, Y. Wang, M. Fatemi, and M. F. Insana, "Assessing Composition and Structure of Soft Biphasic Media from Kelvin–Voigt Fractional Derivative Model Parameters4," Measurement Science and Technology, Vol. 28, No. 3, p. 035703, 2017, doi: 10.1088/1361-6501/aa5531.
 
[29]      S. S. Poul, J. Ormachea, R. G. Gary, and K. J. Parker, "Comprehensive Experimental Assessments of Rheological Models’ Performance in Elastography of Soft Tissues," Acta Biomaterialia, Vol. 146, pp. 259-273, 2022, doi: https://doi.org/10.1016/j.actbio.2022.04.047.
 
[30]      J. Hu, Y. Zhou, J. D. Obayemi, J. Du, and W. O. Soboyejo, "An Investigation of the Viscoelastic Properties and the Actin Cytoskeletal Structure of Triple Negative Breast Cancer Cells," Journal of the Mechanical Behavior of Biomedical Materials, Vol. 86, pp. 1-13, 2018, doi: https://doi.org/10.1016/j.jmbbm.2018.05.038.
 
[31]      B. Carmichael, H. Babahosseini, S. Mahmoodi, and M. Agah, "The Fractional Viscoelastic Response of Human Breast Tissue Cells," Physical Biology, Vol. 12, No. 4, p. 046001, 2015, doi: 10.1088/1478-3975/12/4/046001.
 
[32]      H. Zhang, Q. zhe Zhang, L. Ruan, J. Duan, M. Wan, and M. F. Insana, "Modeling Ramp-hold Indentation Measurements Based on Kelvin–Voigt Fractional Derivative Model," Measurement Science and Technology, Vol. 29, No. 3, p. 035701, 2018, doi: 10.1088/1361-6501/aa9daf.