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Stability of Mitotic Spindle Using Computational Mechanics

Published: 07 January 2019 Publication History

Abstract

Fidelity of cell division depends on the ability of an internal cell structure called the mitotic spindle, to maintain the structural integrity of the cellular architecture despite being subject to high compressive loading. We propose a generic software tool called Spindle FEA that employs continuum mechanics and finite elements analysis (FEA) code Abaqus CAE to study the stability of mitotic spindles in various phases of mitosis. The proposed application has a modular structure which allows easy modification of any part of the analysis which is of particular importance considering that new knowledge of spindles is constantly emerging. Thanks to the highly optimised finite element solver used in Abaqus CAE, Spindle FEA is highly suitable for large multi-parametric studies which in turn may significantly benefit the planning of new experiments or identifying new key properties of the spindle. We also discuss the main physiological properties of spindles and show how they are modelled with the proposed technique as well as discuss all the essential analysis steps. We use Spindle FEA to study the buckling of a mitotic spindle in anaphase B to show how the additional stiffness of the lateral support of the spindle affects the left-right symmetry of cell division as well as to demonstrate the capacities of the proposed technique.

References

[1]
Dogterom, M. and Surrey, T. 2013. Microtubule organization in vitro. Current Opinion in Cell Biology, 25, 23--9.
[2]
Ward, J.J., Roque, H., Antony, C. and Nédélec, F. 2014. Mechanical design principles of a mitotic spindle. ELife, 3, e03398.
[3]
Nixon, F.M., Gutiérrez-Caballero, C., Hood, F.E., Booth, D.G., Prior, I.A. and Royle, S.J. 2015. The mesh is a network of microtubule connectors that stabilizes individual kinetochore fibers of the mitotic spindle. ELife, 4, 1--21.
[4]
Chaigne, A., Campillo, C., Voituriez, R., Gov, N.S., Sykes, C., Verlhac, M.-H. et al. 2016. F-actin mechanics control spindle centring in the mouse zygote. Nature Communications, 7, 10253.
[5]
Kasas, S., Kis, A., Riederer, B.M., Forró, L., Dietler, G. and Catsicas, S. 2004. Mechanical Properties of Microtubules Explored Using the Finite Elements Method. ChemPhysChem, 5, 252--7.
[6]
Jin, M.Z. and Ru, C.Q. 2013. Localized buckling of a microtubule surrounded by randomly distributed cross linkers. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 88.
[7]
Rubinstein, B., Larripa, K., Sommi, P. and Mogilner, A. 2009. The elasticity of motor--microtubule bundles and shape of the mitotic spindle. Physical Biology, 6, 016005.
[8]
Malgaretti, P. and Muhuri, S. 2016. Mechanical stability of bipolar spindle assembly. EPL (Europhysics Letters), 115, 28001.
[9]
Kellogg, E.H., Howes, S., Ti, S.-C., Ramírez-Aportela, E., Kapoor, T.M., Chacón, P. et al. 2016. Near-atomic cryo-EM structure of PRC1 bound to the microtubule. Proceedings of the National Academy of Sciences, 113, 9430--9439.
[10]
Pampaloni, F., Lattanzi, G., Jonas, A., Surrey, T., Frey, E. and Florin, E.-L. 2006. Thermal fluctuations of grafted microtubules provide evidence of a length-dependent persistence length. Proceedings of the National Academy of Sciences, 103, 10248--10253.
[11]
Wang, C.Y., Ru, C.Q. and Mioduchowski, A. 2006. Orthotropic elastic shell model for buckling of microtubules. Physical Review E, 74, 052901.
[12]
Van den Heuvel, M.G.L., De Graaff, M.P. and Dekker, C. 2008. Microtubule curvatures under perpendicular electric forces reveal a low persistence length. Proceedings of the National Academy of Sciences, 105, 7941--7946.
[13]
Liew, K.M., Xiang, P. and Sun, Y. 2011. A continuum mechanics framework and a constitutive model for predicting the orthotropic elastic properties of microtubules. Composite Structures, 93, 1809--18.
[14]
Soheilypour, M., Peyro, M., Peter, S.J. and Mofrad, M.R.K. 2015. Buckling behavior of individual and bundled microtubules. Biophysical Journal, 108, 1718--1726.
[15]
Brangwynne, C.P., MacKintosh, F.C., Kumar, S., Geisse, N.A., Talbot, J., Mahadevan, L. et al. 2006. Microtubules can bear enhanced compressive loads in living cells because of lateral reinforcement. Journal of Cell Biology, 173, 733--741.
[16]
di Pietro, F., Echard, A. and Morin, X. 2016. Regulation of mitotic spindle orientation: an integrated view. EMBO Reports, 17, 1106--30.
[17]
Müller-Reichert, T., Kiewisz, R. and Redemann, S. 2018. Mitotic spindles revisited -- new insights from 3D electron microscopy. Journal of Cell Science, 131, jcs211383.
[18]
Pavin, N. and Tolic, I.M. 2016. Self-Organization and Forces in the Mitotic Spindle. Annual Review of Biophysics, 45, 279--98.
[19]
Nedelec, F. and Foethke, D. 2007. Collective Langevin dynamics of flexible cytoskeletal fibers. New Journal of Physics, 9.
[20]
Jakobs, M., Franze, K. and Zemel, A. 2015. Force Generation by Molecular-Motor-Powered Microtubule Bundles; Implications for Neuronal Polarization and Growth. Frontiers in Cellular Neuroscience, 9, 4413389--441.
[21]
A. Iakovliev, Spindle FEA. University of Southampton.
[22]
Kabir, A.M.R., Inoue, D., Afrin, T., Mayama, H., Sada, K. and Kakugo, A. 2015. Buckling of Microtubules on a 2D Elastic Medium. Scientific Reports, 5, 17222.
[23]
Timoshenko, S.P.S. and Gere, J.M.J. 2012. Theory of elastic stability {Internet}. Courier Corporation.
[24]
Gittes, F., Mickey, B., Nettleton, J. and Howard, J. 1993. Flexural rigidity of microtubules and actin filaments measured from thermal fluctuations in shape. The Journal of Cell Biology, 120, 923--934.
[25]
Janson, M.E. and Dogterom, M. 2004. A bending mode analysis for growing microtubules: evidence for a velocity-dependent rigidity. Biophysical Journal, 87, 2723--2736.
[26]
Claessens, M., Bathe, M., Frey, E. and Bausch, A.R. 2006. Actin-binding proteins sensitively mediate F-actin bundle stiffness. Nature Materials, 5, 748--753.
[27]
Subramanian, R., Wilson-Kubalek, E.M., Arthur, C.P., Bick, M.J., Campbell, E.A., Darst, S.A. et al. 2010. Insights into Antiparallel Microtubule Crosslinking by PRC1, a Conserved Nonmotor Microtubule Binding Protein. Cell, 142, 433--43.

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ICBBB '19: Proceedings of the 2019 9th International Conference on Bioscience, Biochemistry and Bioinformatics
January 2019
115 pages
ISBN:9781450366540
DOI:10.1145/3314367
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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  • Natl University of Singapore: National University of Singapore

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 07 January 2019

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Author Tags

  1. Anaphase B
  2. Cell division
  3. Mitotic spindle stability

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