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Mathematical Modeling in Cell Biomechanics: Myofibrils Contractile Activity
Department of Molecular and Cell Biomedicine, State Scientific Center of Russian Federation Institute of Biomedical Problems of the Russian Academy of Sciences, Moscow, Russia
I. M. Sechenov First Moscow State Medical University, Moscow, Russia
- 1 Department of Molecular and Cell Biomedicine, State Scientific Center of Russian Federation Institute of Biomedical Problems of the Russian Academy of Sciences, Moscow, Russia
- 2 I. M. Sechenov First Moscow State Medical University, Moscow, Russia
Applied Mathematics·Volume 06 (2015)·Pages 1131–1138·Published 17 June 2015·DOI10.4236/am.2015.67103
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Abstract
Cell as elastic rod behavior model is proposed to describe its contractile activity. The model takes into account the result of the transduction of external influences, which is resulting in the formation of internal deformation, and evaluates the mobility and/or the tension in the muscle cells under the external influence.
KeywordsMathematical ModelingCell MechanosensitivityMuscle Cell
- Ogneva, I.V., Biryukov, N.S., Leinsoo, T.A. and Larina, I.M. (2014) Possible Role of Non-Muscle Alpha-Actinins in Muscle Cell Mechanosensitivity. PLoS ONE, 9, e96395. http://dx.doi.org/10.1371/journal.pone.0096395
- Ogneva, I.V., Maximova, M.V. and Larina, I.M. (2014) Structure of Cortical Cytoskeleton in Fibers of Mouse Muscle Cells after Being Exposed to a 30-Day Space Flight on Board the BION-M1 Biosatellite. Journal of Applied Physiology, 116, 1315-1323. http://dx.doi.org/10.1152/japplphysiol.00134.2014
- Ogneva, I.V., Gnyubkin, V., Laroche, N., Maximova, M.V., Larina, I.M. and Vico L. (2015) Structure of the Cortical Cytoskeleton in Fibers of Postural Muscles and Cardiomyocytes of Mice after 30-Day 2g-Centrifugation. Journal of Applied Physiology, 118, 613-623. http://dx.doi.org/10.1152/japplphysiol.00812.2014
- Ogneva, I.V. and Biryukov, N.S. (2013) Mathematical Modeling Cardiomyocyte’s and Skeletal Muscle Fiber’s Membrane: Interaction with External Mechanical Field. Applied Mathematics, 4, 1-6. http://dx.doi.org/10.4236/am.2013.48A001
- Shabarchin, A.A. and Tsaturyan, A.K. (2010) Proposed Role of the M-Band Sarcomere Mechanics and Mechano-Sensing: A Model Study. Biomechanics and Modeling in Mechanobiology, 9, 163-175. http://dx.doi.org/10.1007/s10237-009-0167-0
- Eliseev, V.V. (1999) Mechanics of Elastic Bodies. Izdatelstvo SPbSTU, Saint-Peterburg, 336 p.
- Ogneva, I.V. and Eliseev, V.V. (2009) Nonlinear Dynamic Model of Kinetocilia Motion. 2D Case. Reviews on Advanced Materials Science, 20, 158-165.
- Dennerll, T.J., Joshi, H.C., Steel, V.L., Buxbaum, R.E. and Heidemann, S.R. (1998) Tension and Compression in the Cytoskeleton of PC-12 Neurites. II: Quantitative Measurements. The Journal of Cell Biology, 107, 665-674. http://dx.doi.org/10.1083/jcb.107.2.665
- Putnam, A.J., Schultz, K. and Mooney, D.J. (2001) Control of Microtubule Assembly by Extracellular Matrix and Externally Applied Strain. American Journal of Physiology Cell Physiology, 280, C556-C564.
- Liu, S., Calderwood, D.A. and Ginsberg, M.H. (2000) Integrin Cytoplasmic Domain-Binding Proteins. Journal of Cell Science, 113, 3563-3571.
- Sukharev, S., Betanzos, M., Chiang, C.S. and Guy, H.R. (2001) The Gating Mechanism of the Large Mechanosensitive Channel MscL. Nature, 409, 720-724. http://dx.doi.org/10.1038/35055559
- Maroto, R., Raso, A., Wood, T.G., Kurosky, A., Martinac, B. and Hamill, O.P. (2005) TRPC1 Forms the Stretch-Activated Cation Channel in Vertebrate Cells. Nature Cell Biology, 7, 179-185. http://dx.doi.org/10.1038/ncb1218