We propose a mathematic model of muscle cell membrane based on thin-walled elastic rod theory. A deformation occurs in rodents’ skeletal and cardiac cells during a period of antiorthostatic suspension. We carried out a quantitative evaluation of the deformation using this model. The calculations showed the deformation in cardiac cells to be greater than in skeletal ones. This data corresponds to experimental results of cell response that appears intense in cardiomyocytes than in skeletal muscle cells. Moreover, the deformation in skeletal and heart muscle cells has a different direction (stretching vs. compression), corresponding to experimental data of different adaptive response generation pathways in cells because of external mechanical condition changes.
Cite this paper
I. Ogneva and N. Biryukov, "Mathematical Modeling of Cardiomyocytes’ and Skeletal Muscle Fibers’ Membrane: Interaction with External Mechanical Field," Applied Mathematics, Vol. 4 No. 8, 2013, pp. 1-6. doi: 10.4236/am.2013.48A001.
 A. A. Shabarchin and A. K. Tsaturyan, “Proposed Role of the M-Band Sarcomere Mechanics and Mechano-Sensing: A Model Study,” Biomechanics and Modeling in Mech anobiology, Vol. 9, No. 2, 2010, pp. 163-175.
 J. M. Ervasti, “Costameres: The Achille’s Heel of Hercu lean Muscle,” The Journal of Biological Chemistry, Vol. 278, No. 16, 2003, pp. 13591-13594.
 I. V. Ogneva, D. V. Lebedev and B. S. Shenkman, “Trans versal Stiffness and Young’s Modulus of Single Fibers from Rat Soleus Muscle Probed by Atomic Force Micros copy,” Biophysical Journal, Vol. 98, No. 3, 2010, pp. 418-424. doi:10.1016/j.bpj.2009.10.028
 I. V. Ogneva, “Transversal Stiffness of Fibers and Des min Content in Leg Muscles of Rats under Gravitational Unloading of Various Durations,” Journal of Applied Physiology, Vol. 109, No. 6, 2010, pp. 1702-1709.
 E. Morey-Holton, R. K. Globus, A. Kaplansky and G. Durnova, “The Hindlimb Unloading Rat Model: Litera ture Overview, Technique Update and Comparison with Space Flight Data,” Advances in Space Biology and Me dicine, Vol. 10, 2005, pp. 7-40.
 V. Z. Vlasov, “Thin-Walled Elastic Rods,” Fizmatgiz, USSR, Moscow, 1959, 574 pages.
 V. V. Eliseev, “Mechanics of Elastic Bodies,” Izdatelstvo SPbSTU, Saint-Peterburg, 1999, 336 pages.
 I. V. Ogneva and I. B. Ushakov, “The Transversal Stiff ness of Skeletal Muscle Fibers and Cardiomyocytes in Control and after Simulated Microgravity,” In: C. L. Frewin, Ed., Atomic Force Microscopy Investigations into Biology: From Cell to Protein, InTech, Chroatia, 2012, 354 pages.
 I. V. Ogneva, T. M. Mirzoev, N. S. Biryukov, O. M. Ve selova and I. M. Larina, “Structure and Functional Char acteristics of Rat’s Left Ventricle Cardiomyocytes under Antiorthostatic Suspension of Various Duration and Sub sequent Reloading,” Journal of Biomedicine and Bio technology, Vol. 2012, 2012, Article ID: 659869, 11 pages. doi: 10.1155/2011/659869
 I. V. Ogneva and E. G. Altaeva, “Effects of Nifedipine on the Mechanical Properties of Sarcolemma and Modula tion of Calcium Accumulation Dynamics in Fibers of the Rat Soleus Muscle under Short-Term Hypogravity Con ditions,” Biofizika, Vol. 55, No. 5, 2010, pp. 918-924.
 I. V. Ogneva, “Transversal Stiffness and Beta-Actin and Alpha-Actinin-4 Content of the M. soleus Fibers in the Conditions of a 3-Day Reloading after 14-Day Gravita tional Unloading,” Journal of Biomedicine and Biotech nology, Vol. 2011, 2011, Article ID: 393405, 7 pages.
 I. V. Ogneva, “Cell Mechanosensitivity: Mechanical Pro perties and Interaction with Gravitational Field,” BioMed Research International, Vol. 2013, 2013, Article ID: 598 461, 17 pages.