مدل‌سازی سه بعدی سلولی و همگن‌سازی میکرومکانیکی بافت نامنظم مغز

نوع مقاله : مقاله علمی پژوهشی

نویسندگان

1 کارشناس ارشد مهندسی مکانیک

2 استادیار مهندسی مکانیک

3 استادیار

4 استادیار بیومکانیک

چکیده

در این مقاله یک روش میکرومکانیکی برای تحلیل و همگن‌سازی ماده‌ی ناهمگون بافت مغز ارائه شده است. روش پیشنهادی به توسعه‌ی یک مدل سه بعدی سلولی برای همگن‌سازی قسمت نامنظم بافت مغز منجر شده است در فرآیند مشخصه‌سازی خواص، رفتار مواد سازنده بافت مغز؛ یعنی نرون و ماتریس برون سلولی، الاستیک فرض شده‌اند. مدل حاصل با استفاده از روش المان محدود از چند منظر میکرومکانیکی مورد بررسی قرار گرفته است که نتایج نشان دادند مدل ارائه شده به خوبی رفتار بافت را شبیه‌سازی می‌کند.

کلیدواژه‌ها

موضوعات


[1]  Faul, M., Xu, L., Wald, M., Coronado, V., and Dellinger, A.M., "Traumatic Brain Injury in the United States: National Estimates of Prevalence and Incidence", 2002–2006, Injury Prevention, Vol. 16, No. Suppl 1, pp. A268-A268, (2010).
 
[2]  Park, E., Bell, J.D., and Baker, A.J., "Traumatic Brain Injury: Can the Consequences be Stopped, Canadian Medical Association Journal, Vol. 178, No. 9, pp. 1163-1170, (2008).
 
[3]  Sotudeh-Chafi, M., Abolfathi, N., Nick, A., Dirisala, V., Karami, G., and Ziejewski, M.,  "A Multi-scale Finite Element Model for Shock Wave-induced Axonal Brain Injury", in Proceeding ofAmerican Society of Mechanical Engineers, Marco Island, Florida, USA, pp. 259-260, 25-29 June, (2008).
 
[4]  Miller, K., and Chinzei, K., "Constitutive Modelling of Brain Tissue: Experiment and Theory", Journal of Biomechanics, Vol. 30, No. 11, pp. 1115-1121, (1997).
 
[5]  Miller, K., and Chinzei, K., "Mechanical Properties of Brain Tissue in Tension", Journal of Biomechanics, Vol. 35, No. 4, pp. 483-490, (2002).
 
[6]  Prange, M.T., and Margulies, S.S., "Regional, Directional, and Age-dependent Properties of the Brain Undergoing Large Deformation", Journal of Biomechanical Engineering, Vol. 124, No. 2, pp. 244-252, (2002).
 
[7]  Arbogast, K.B., and Margulies, S.S., "Material Characterization of the Brainstem from Oscillatory Shear Tests, Journal of Biomechanics, Vol. 31, No. 9, pp. 801-807, (1998).
 
[8] Van Dommelen, J., Van der Sande, T., Hrapko, M., and Peters, G., "Mechanical Properties of Brain Tissue by Indentation: Interregional Variation, Journal of the Mechanical Behavior of Biomedical Materials, Vol. 3, No. 2, pp. 158-166, (2010).
 
[9] Velardi, F., Fraternali, F., and Angelillo, M., "Anisotropic Constitutive Equations and Experimental Tensile Behavior of Brain Tissue, Biomechanics and Modeling in Mechanobiology", Vol. 5, No. 1, pp. 53-61, (2006).
 
[10] Rashid, B., Destrade, M., and Gilchrist, M.D., "Inhomogeneous Deformation of Brain Tissue during Tension Tests", Computational Materials Science, Vol. 64, pp. 295-300, (2012).
 
[11] Feng, Y., Okamoto, R.J., Namani, R., Genin, G.M., and Bayly, P.V., "Measurements of Mechanical Anisotropy in Brain Tissue and Implications for Transversely Isotropic Material Models of White Matter", Journal of the Mechanical Behavior of Biomedical Materials, Vol. 23, pp. 117-132, (2013).
 
[12] Laksari, K., Shafieian, M., and Darvish, K., "Constitutive Model for Brain Tissue under Finite Compression", Journal of Biomechanics, Vol. 45, No. 4, pp. 642-646, (2012).
 
[13] Bain, A.C., and Meaney, D.F., "Tissue-level Thresholds for Axonal Damage in an Experimental Model of Central Nervous System White Matter Injury", Journal of Biomechanical Engineering, Vol. 122, No. 6, pp. 615-622, (2000).
 
[14]  Bain, A.C., Shreiber, D.I., and Meaney, D.F., "Modeling of Microstructural Kinematics during Simple Elongation of Central Nervous System Tissue, Journal of Biomechanical Engineering, Vol. 125, No. 6, pp. 798-804, (2003).
 
[15] Pfister, B.J.,  Iwata, A., Taylor, A.G., Wolf, J.A., Meaney, D.F., and Smith, D.H., "Development of Transplantable Nervous Tissue Constructs Comprised of Stretch-grown Axons, Journal of Neuroscience Methods, Vol. 153, No. 1, pp. 95-103, (2006).
 
[16] Valdez, M., and Balachandran, B., "Longitudinal Nonlinear Wave Propagation Through Soft Tissue, Journal of the Mechanical Behavior of Biomedical Materials, Vol. 20, pp. 192-208, (2013).
 
[17] Abolfathi, N., Naik, A., Sotudeh Chafi, M., Karami, G., and Ziejewski, M., "A Micromechanical Procedure for Modelling the Anisotropic Mechanical Properties of Brain White Matter", Computer Methods in Biomechanics and Biomedical Engineering, Vol. 12, No. 3, pp. 249-262, (2009).
 
[18] Arbogast, K.B., and Margulies, S.S., "A Fiber-reinforced Composite Model of the Viscoelastic Behavior of the Brainstem in Shear, Journal of Biomechanics, Vol. 32, No. 8, pp. 865-870, (1999).
 
[19]  Hashin, Z., "Viscoelastic Fiber Reinforced Materials", AIAA Journal, Vol. 4, No. 8, pp. 1411-1417, (1966).
 [20] Ning, X., Zhu, Q., Lanir, Y., and Margulies, S.S., "A Transversely Isotropic Viscoelastic Constitutive Equation for Brainstem Undergoing Finite Deformation", Journal of Biomechanical Engineering, Vol. 128, No. 6, pp. 925-933, (2006).
 [21]  Karami, G., Grundman, N., Abolfathi, N., Naik, A., and Ziejewski, M., "A Micromechanical Hyperelastic Modeling of Brain White Matter under Large Deformation", Journal of the Mechanical Behavior of Biomedical Materials, Vol. 2, No. 3, pp. 243-254, (2009).
 
[22]  Pan, Y., Shreiber, D.I., and Pelegri, A.A., "A Transition Model for Finite Element Simulation of Kinematics of Central Nervous System White Matter", Biomedical Engineering, IEEE Transactions on, Vol. 58, No. 12, pp. 3443-3446, (2011).
 
[23]  Nemat-Nasser, S., and Hori, M., "Micromechanics: Overall properties of heterogeneous materials, Elsevier, (2013).
 
[24]  Garnich, M.R., and Karami, G., "Localized Fiber Waviness and Implications for Failure in Unidirectional Composites", Journal of Composite Materials, Vol. 39, No. 14, pp. 1225-1245, (2005).
 
[25]  Karami, G., and Garnich, M., "Effective Moduli and Failure Considerations for Composites with Periodic Fiber Waviness", Composite Structures, Vol. 67, No. 4, pp. 461-475, (2005).
 
[26]  Xia, Z., Chen, Y., and Ellyin, F., "A Meso/Micro-mechanical Model for Damage Progression in Glass-fiber/epoxy Cross-ply Laminates by Finite-element Analysis", Composites Science and Technology, Vol. 60, No. 8, pp. 1171-1179, (2000).
 
[27]  Karami, G., and Garnich, M., "Micromechanical Study of Thermoelastic Behavior of Composites with Periodic Fiber Waviness", Composites Part B: Engineering, Vol. 36, No. 3, pp. 241-248, (2005).
 
[28]  Safaei, M., Sheidaei, A., Baniassadi, M., Ahzi, S., Mashhadi, M.M., and Pourboghrat, F., "An Interfacial Debonding-induced Damage Model for Graphite Nanoplatelet Polymer Composites", Computational Materials Science, Vol. 96, pp. 191-199, (2015).
 
[29]   Sheidaei, A., Baniassadi, M., Banu, M., Askeland, P., Pahlavanpour, M., Kuuttila, N., Pourboghrat, F., Drzal, L., and Garmestani, H., "3-D Microstructure Reconstruction of Polymer Nano-composite using FIB–SEM and Statistical Correlation Function", Composites Science and Technology, Vol. 80, pp. 47-54, (2013).
 
[30]  Wittek, A., Hawkins, T., and Miller, K., "On the Unimportance of Constitutive Models in Computing Brain Deformation for Image-guided Surgery, Biomechanics and Modeling in Mechanobiology", Vol. 8, No. 1, pp. 77-84, (2009).
 
[31]  A. Dassault Systémes, Abaqus Documentation, Simulia, (2010).
 
[32]  Ferrant, M., Nabavi, A., Marq, B., Jolesz, F.A., Kikinis, R., and Warfield, S.K., "Registration of 3D Intraoperative MR Images of the Brain using a Finite Element Biomechanical Model", IEEE Trans Med Imagin, Vol. 20, No. 12, pp. 1384-1397, Dec (2001).
 
 [33] Meaney, D., "Relationship between Structural Modeling and Hyperelastic Material Behavior: Application to CNS White Matter", Biomechanics and Modeling in Mechanobiology, Vol. 1, No. 4, pp. 279-293, (2003).  
[34] Škrinjar, O., Studholme, C., Nabavi, A., and Duncan, J., "Steps Toward a Stereo-camera-Guided Biomechanical Model for Brain Shift Compensation", Information Processing in Medical Imaging, Lecture Notes in Computer Science, Vol. 2082, Springer, Berlin, Heidelberg, (2001).
 
[35]  Wang, H.C., and Wineman, A.S., "A Mathematical Model for the Determination of Viscoelastic Behavior of Brain in Vivo—I Oscillatory Response", Journal of Biomechanics, Vol. 5, No. 5, pp. 431-446, (1972).
 
[36] Boresi, A.P., Schmidt, R.J., and Sidebottom, O.M., "Advanced Mechanics of Materials", Wiley, New York, (1993).
 
[37] Garnich, M.R., and Karami, G., "Finite Element Micromechanics for Stiffness and Strength of Wavy Fiber Composites", Journal of Composite Materials, Vol. 38, No. 4, pp. 273-292, (2004).
 
[38] Shaoning, S., "Mechanical Characterization and Modeling of Polymer/clay Nanocomposites",  Thesis, for the Degree of Doctor of Philosophy, Department of Mechanical Engineering, National University of Singapore, Singapore, (2014).
 
[39]   Mazrouei, M., Jokar, H., Baniassadi, M., Abrinia, K., and Haghighi-Yazdi, M., "Evaluating the Effect of Mechanical Loading on the Effective Thermal Conductivity of Carbon Nanotube Reinforced Polymers (a Monte-Carlo Approach), Journal of Computational and Theoretical Nanoscience, Vol. 11, pp. 1-7, (2014).
 
[40]   Abolfathi, N., Naik, A., Sotudeh, M., Karami, G., and Ziejewski, M., "A Micromechanical Procedure for Characterization of the Mechanical Properties of Brain White Matter", Computer Methods in Biomechanics and Biomedical Engineering, Vol. 12, No. 3, pp. 249-262, June (2009).
 
[41]      Pierard, O., Friebel, C., and Doghri, I., "Mean-field Homogenization of Multi-phase thermo-elastic Composites: a General Framework and its Validation", Composites Science and Technology, Vol. 64, No. 10, pp. 1587-1603, (2004).