Mathematical Modeling in Cell Biomechanics: Myofibrils Contractile Activity
Affiliation(s)
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.
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.
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.
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.
Cite this paper
Pokusaev, A. and Ogneva, I. (2015) Mathematical Modeling in Cell Biomechanics: Myofibrils Contractile Activity. Applied Mathematics, 6, 1131-1138. doi: 10.4236/am.2015.67103.
Pokusaev, A. and Ogneva, I. (2015) Mathematical Modeling in Cell Biomechanics: Myofibrils Contractile Activity. Applied Mathematics, 6, 1131-1138. doi: 10.4236/am.2015.67103.
References
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http://dx.doi.org/10.1371/journal.pone.0096395 [2] 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 [3] 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 [4] 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.
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http://dx.doi.org/10.1007/s00425-010-1343-2 [15] Sun, X., McLamore, E., Kishore, V., Fites, K., Slipchenko, M., Porterfield, D.M. and Akkus, O. (2012) Mechanical Stretch Induced Calcium Efflux from Bone Matrix Stimulates Osteoblasts. Bone, 50, 581-591.
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[1] 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 [2] 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 [3] 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 [4] 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 [5] 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 [6] Eliseev, V.V. (1999) Mechanics of Elastic Bodies. Izdatelstvo SPbSTU, Saint-Peterburg, 336 p. [7] Ogneva, I.V. and Eliseev, V.V. (2009) Nonlinear Dynamic Model of Kinetocilia Motion. 2D Case. Reviews on Advanced Materials Science, 20, 158-165. [8] 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 [9] 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. [10] Liu, S., Calderwood, D.A. and Ginsberg, M.H. (2000) Integrin Cytoplasmic Domain-Binding Proteins. Journal of Cell Science, 113, 3563-3571. [11] 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 [12] 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 [13] Howard, J. and Bechstedt, S. (2004) Hypothesis: A Helix of Ankyrin Repeats of the NOMPC-TRP Ion Channel Is the Gating Spring of Mechanoreceptors. Current Biology, 14, R224-R226.
http://dx.doi.org/10.1016/j.cub.2004.02.050 [14] Salmi, M.L., ul Haque, A., Bushaart, T.J., Stout, S.C., Roux, S.J. and Porterfield, D.M. (2011) Changes in Gravity Rapidly Alter the Magnitude and Direction of a Cellular Calcium Current. Planta, 233, 911-920.
http://dx.doi.org/10.1007/s00425-010-1343-2 [15] Sun, X., McLamore, E., Kishore, V., Fites, K., Slipchenko, M., Porterfield, D.M. and Akkus, O. (2012) Mechanical Stretch Induced Calcium Efflux from Bone Matrix Stimulates Osteoblasts. Bone, 50, 581-591.
http://dx.doi.org/10.1016/j.bone.2011.12.015 [16] Odde, D.J., Ma, L., Briggs, A.H., DeMarco, A. and Kirschner, M.W. (1999) Microtubule Bending and Breaking in Living Fibroblast Cells. Journal of Cell Science, 112, 3283-3288.