Numerical simulation of a neuron under blast load using viscoelastic material models

Document Type : Article

Authors

1 Department of Aerospace Engineering, Faculty of New Sciences and Technologies, University of Tehran, Tehran, Iran

2 Division of Biomedical Engineering, Department of Life Science Engineering, Faculty of New Sciences and Technologies, University of Tehran, Tehran, Iran

Abstract

Traumatic brain injury is caused by physical brain injury. A computational model for considering the response of a neuronal cell under blast loading is presented. The neuronal cell consists of four components including the nucleus, cytoplasm, membrane, and also the network of microtubules with different arrays including crossing, stellate as well as random orientations. The effect of the sub-cellular components, specifically the network of microtubules, on a Traumatic Brain Injury’s consequences was studied as a novel and state-of-the-art innovation. Nucleus, cytoplasm, and membrane are assumed viscoelastic, while the network of microtubules follows elastic behavior. Finite element methods and fluid-structure interactions are considered to solve the coupled equations of the solid and the fluid. The results show that the presence of a network of microtubules, regardless of the types of arrays, reduces the total displacement of the cell as well as the von Mises stress. The membrane von Mises stress decreases 50 percent from 30 to 15 Pascal in presence of the network of the microtubules. Results of this research could be used in different fields including treatment of some diseases and pathological conditions such as kidney stones, sports injuries, traumatic astronauts, and ultimately prevention and treatment of traumatic brain injuries.

Keywords


References
1. Bernick, K.B. Cell biomechanics of the central nervous
system", Thesis, Massachusetts Institute of Technology,
USA (2011).
2. Jerusalem, A. and Dao, M. Continuum modeling of
a neuronal cell under blast loading", Acta Biomater.,
8(9), pp. 3360{3371 (2012).
3. Edwards, D.S. and Clasper, J. Blast injury mechanism",
In Blast Injury Science and Engineering, pp.
87{104, Springer (2016).
4. Bernick, K.B., Prevost, T.P., Suresh, S., et al. Biomechanics
of single cortical neurons", Acta Biomater.,
7(3), pp. 1210{1219 (2011).
5. Eslaminejad, A., Farid, M.H., Ziejewski, M., et al.
Brain tissue constitutive material models and the
nite element analysis of blast-induced traumatic brain
injury", Sci. Iran., 25, pp. 3141{3150 (2018).
6. Shams, S., Haddadpour, H., Tuzandejani, H., et al.
Impact crushing behavior of foam- lled paraboloid
shells using numerical and experimental methods",
Sci. Iran., Trans B, 24(4), pp. 1912{1921 (2017).
7. Ganpule, S., Alai, A., Plougonven, E., et al. Mechanics
of blast loading on the head models in the
study of traumatic brain injury using experimental and
computational approaches", Biomech. Model Mechan.,
12(3), pp. 511{531 (2013).
8. Laksari, K., Assari, S., Seibold, B., et al. Computational
simulation of the mechanical response of brain
tissue under blast loading", Biomech. Model Mechan.,
14(3), pp. 459{472 (2015).
9. Laksari, K., Sadeghipour, K., and Darvish, K. Mechanical
response of brain tissue under blast loading",
J. Mech. Behav. Biomed. Mater., 32, pp. 132{144
(2014).
10. Taylor, P.A., Ludwigsen, J.S., and Ford, C.C. Investigation
of blast-induced traumatic brain injury", Brain
Inj., 28(7), pp. 879{895 (2014).
11. Teferra, K., Tan, X.G., Iliopoulos, A., et al. E ect
of human head morphological variability on the mechanical
response of blast overpressure loading", Int.
J. Numer. Meth. Bio., 34(9), p. e3109 (2018).
12. Ganpule, S., Daphalapurkar, N., Cetingul, M., et al.
E ect of bulk modulus on deformation of the brain
under rotational accelerations", Shock Waves, 28(1),
pp. 127{139 (2018).
13. Tan, X., Przekwas, A., and Gupta, R. Computational
modeling of blast wave interaction with a human
body and assessment of traumatic brain injury", Shock
Waves, 27(6), pp. 889{904 (2017).
14. Rodrguez-Millan, M., Tan, L. , Tse, K., et al. E ect
of full helmet systems on human head responses under
blast loading", Mater. Design, 117, pp. 58{71 (2017).
15. Finan, J.D. Biomechanical simulation of traumatic
brain injury in the rat", Clin. Biomech., 64, pp. 114{
121 (2019).
264 H. Ahmadi Nejad Joushani et al./Scientia Iranica, Transactions B: Mechanical Engineering 28 (2021) 255{264
16. Palombo, M., Alexander, D.C., and Zhang, H. A generative
model of realistic brain cells with application
to numerical simulation of the di usion-weighted MR
signal", NeuroImage, 188, pp. 391{402 (2019).
17. Lu, Y.C., Daphalapurkar, N.P., Knutsen, A.K., et al.
A 3D computational head model under dynamic head
rotation and head extension validated using live human
brain data, including the falx and the tentorium", Ann.
Biomed. Eng., 47(9), pp. 1923{1940 (2019).
18. Ahmadi-Nejad Joushani, H., Vahidi, B., and Sabour,
M.H. Investigating the e ects of microtubules in the
neuronal cell response to the blast load using
uidstructure
interactions method", Journal of Solid and
Fluid Mechanics, 9(3), pp. 13{24 (2019) (in Persian).
19. Sonden, A., Svensson, B., Roman, N., et al. Laserinduced
shock wave endothelial cell injury", Laser
Surg. Med., 26(4), pp. 364{375 (2000).
20. Jean, R.P., Chen, C.S., and Spector, A.A. Finiteelement
analysis of the adhesion-cytoskeleton-nucleus
mechanotransduction pathway during endothelial cell
rounding: axisymmetric model", J. Biomech. Eng.,
127(4), pp. 594{600 (2005).
21. Mofrad, M.R. and Kamm, R.D., Cytoskeletal Mechanics:
Models and Measurements in Cell Mechanics,
Cambridge University Press, UK (2006).
22. O'Connor, C.M., Adams, J.U., and Fairman, J., Essentials
of Cell Biology, Cambridge, MA: NPG Education,
1 (2010).
23. Zander, N.E., Piehler, T., Boggs, M.E., et al. In vitro
studies of primary explosive blast loading on neurons",
J. Neurosci. Res., 93(9), pp. 1353{1363 (2015).
24. Barreto, S., Clausen, C.H., Perrault, C.M., et al. A
multi-structural single cell model of force-induced interactions
of cytoskeletal components", Biomaterials,
34(26), pp. 6119{6126 (2013).
25. Drumheller, D.S., Introduction to Wave Propagation
in Nonlinear Fluids and Solids, Cambridge University
Press (1998).
26. Meyers, M.A., Dynamic Behavior of Materials, John
Wiley & Sons (1994).
27. Kaliske, M. and Rothert, H. Formulation and implementation
of three-dimensional viscoelasticity at small
and nite strains", Comput. Mech., 19(3), pp. 228{239
(1997).
28. Felgner, H., Frank, R., Biernat, J., et al. Domains of
neuronal microtubule-associated proteins and
exural
rigidity of microtubules", J. Cell Biol., 138(5), pp.
1067{1075 (1997).
29. Prado, G.R., Ross, J.D., DeWeerth, S.P., et al.
Mechanical trauma induces immediate changes in
neuronal network activity", J. Neural Eng., 2(4), p.
148 (2005).
30. Mathieu, P.S. and Loboa, E.G. Cytoskeletal and
focal adhesion in
uences on mesenchymal stem cell
shape, mechanical properties, and di erentiation down
osteogenic, adipogenic, and chondrogenic pathways",
Tissue Eng. Part B Rev., 18(6), pp. 436{444 (2012).