Nonlinear Cell Deformation Model

[1] Daniel, A., Fletcher, R., Dyche, M. “Cell mechanics and the cytoskeleton”, Nature 463, pp. 485 – 492, 2010. DOI: 10.1038/nature08908 Search in Google Scholar

[2] De Pascalis, Ch., Etienne-Manneville, S. “Single and collective cell migration: the mechanics of adhesions”, Molecular Biology of the Cell 28 (14), pp. 1815 – 2022, 2017. DOI: 10.1091/mbc.e17-03-0134 Search in Google Scholar

[3] Viljoen, A., Mathelié-Guinlet, M., Ray, A. et. Al. “Force spectroscopy of single cells using atomic force microscopy”, Nature 1, 2021. DOI: 10.1038/s43586-021-00062-x Search in Google Scholar

[4] Glaubitz, M., Medvedev, N., Pussak, D., et. al. “A novel contact model for AFM indentation experiments on soft spherical cell-like particles”, Soft Matters 35, 2014. DOI: 10.1039/C4SM00788C Search in Google Scholar

[5] Delorme, N., Fery, A., et. al. “Direct method to study membrane rigidity of small vesicles basedon atomic force microscope force spectroscopy”, Phys. Rev. 74, 2006. DOI: 10.1103/PhysRevE.74.030901 Search in Google Scholar

[6] Overbeck, A., Günther, S., Kampen, I., Kwade, A. “Compression Testing and Modeling of Spherical Cells “ – Comparison of Yeast and Algae, Chemical Engineering and Technology, 2017. DOI: 10.1002/ceat.201600145 Search in Google Scholar

[7] Israelachvili, JN. “Intermolecular and Surface Forces“, Book, Elsevier, pp. 635 – 660, 2021. DOI: 10.1016/C009-0-21560-1 Search in Google Scholar

[8] Boal, D. “Mechanics of the Cell“, In: Africa (Lond), Cambridge: Cambridge University Press, 2002. ISBN: 0 521 79681 4 Search in Google Scholar

[9] Evans, E. A., Waugh, R., Melnik, L. “Elastic area compressibility modulus of red cell membrane“, Biophys J. 16, pp. 585 – 595, 1972. DOI: 10.1016/s0006-3495(76)85713-x Search in Google Scholar

[10] Evans, E. A., Skalak, R. “Mechanics and Thermodynamics of Biomembranes“, CRC Press, 1978. DOI: 10.1007/978-94-009-2143-6_2 Search in Google Scholar

[11] Daniel M., Řezníčková J., et al. “Clustering and Separation of Hydrophobic Nanoparticles in Lipid Bilayer Explained by Membrane Mechanics“, Sci Rep. 8(1):10810, 2018. DOI: 10.1038/s41598-018-28965-y Search in Google Scholar

[12] Martínez-Balbuena, L., Arteaga-Jiménez, A., Hernández-Zapata, E., Urrutia-Bunuelos, E. “Application of the Helfrich Elasticity Theory to the Morphology of Red Blood Cells“. American Journals of Physics 89, 245, pp. 465 – 476, 2021. DOI: 10.1119/10.0003452 Search in Google Scholar

[13] Daniel, M., Eleršič Filipič, K., Filová, E., Judl, T., Fojt, J. “Modelling the Role of Membrane Mechanics in Cell Adhesion on Titanium Oxide Nanotubes“, Comput Methods Biomech Biomed Engin 26 (3), pp. 281 – 290, 2023. DOI: 10.1080/10255842.2022.2058875 Search in Google Scholar

[14] Barton “AFM Cohesion Parameters“, In: Meyers RA, editor. Encyclopedia of Physical Science and Technology, (Third Edition). New York: Academic Press, pp. 233 – 251, 2003. ISBN-13: 9780122274107 Search in Google Scholar

[15] Madahar KV. “Calculus and Geometry“, Reson 18, pp. 654 – 661, 2013. DOI: 10.1007/s12045-013-0084-5 Search in Google Scholar

[16] Beer, FP., Johnston, ER., DeWolf, JT., Mazurek, DF. “Mechanics of Materials“. Eighth edition ed. New York, NY: McGraw-Hill Education; pp. 57 – 123, 2020. ISBN 978-0-07-338028-5 Search in Google Scholar

[17] Al-Jamal, WT., Kostarelos, K. “Liposomes From a Clinically Established Drug Delivery Systém to a Nanoparticle Platform for Theranostic Nanomedicine“, Acc Chem Res. 44 (10), pp. 1094 – 1104, 2011. DOI 10.7150/thno.15464 Search in Google Scholar

[18] Lim, CT., Zhou, EH., Quek, ST “Mechanical Models for Living Cells“a Review, Journal of Biomechanics 39(2), pp. 195 – 216, 2006. DOI: 10.1016/j.jbiomech.2004.12.008 Search in Google Scholar

[19] Evans, AA., Bhaduri, B., Popescu, G., Levine, AJ. “Geometric Localization of Thermal Fluctuations in Red Blood Cells“. Proc Natl Acad Sci. 114(11), pp. 2865-2870, 2017. DOI: 10.1073/pnas.1613204114 Search in Google Scholar

[20] Overbeck, A., Gunther, S., Kampen, I., Kwade, A. “Compression Testing and Modeling of Spherical Cells – Comparison of Yeast and Algae“. Chem Eng Technol. 40(6), pp. 1158 – 1164, 2017. DOI: 10.1002/ceat.201600145 Search in Google Scholar

[21] Veselý, J., Horný, L., Chlup, H., et. al. “Constitutive modeling of human saphenous veins at overloading pressures”, Journal of the mechanical behaviour of biomedical materials 45, 2015. DOI: 10.1016/j.jmbbm.2015.01.023 Search in Google Scholar

[22] Hsieh, S., Li, I., Chiung-Wen, H., et. al. “Advances in cellular nanoscale force detection and manipulation”, Arabian Journal of Chemistry 12, pp. 3163 – 3171, 2019. DOI: 10.1016/j.arabjc.2015.08.011 Search in Google Scholar

[23] Sancho, A., Ine Vandersmissen, I., Craps, S., et. al. “A new strategy to measure intercellular adhesion forces in mature cell-cell contacts”, Scientific Reports 7, 2017. DOI: 10.1038/srep46152 Search in Google Scholar

[24] Rodriguez, ML., McGarry, PJ., Sniadecki, NJ. “Review on Cell Mechanics: Experimental and Modeling Approaches“, Appl Mech Rev. 65(6): 060801, 2013. DOI: 10.1115/1.4025355 Search in Google Scholar

[25] Mesarec, L., Drab, M., Penič, S., Kralj-Iglič, V., Iglič, A. “On the Role of Curved Membrane Nanodomains and Passive and Active Skeleton Forces in the Determination of Cell Shape and Membrane Budding“. Int J Mol Sci. 22(5), 2348, 2021. DOI: 10.3390/ijms22052348 Search in Google Scholar

[26] Svetina, S. “Theoretical Bases for the Role of Red Blood Cell Shape in the Regulation of Its Volume“, Front Physiol 11:544, 2020. DOI: 10.3389/fphys.2020.00544 Search in Google Scholar

[27] Deuling, HJ., Helfrich, W. “Red Blood Cell Shapes as Explained on the Basis of Curvature Elasticity“. Biophys J. 16(8), pp. 861 – 868, 1976. DOI: 10.1016/S0006-3495(76)85736-0 Search in Google Scholar

[28] Alberts, B., Johnson, A., Lewis, J., Raff, M., Roberts, K., Walter, P. “Molecular Biology of the Cell. Garland Science“, 2002. DOI: 10.1007/978-3-642-34303-2_16 Search in Google Scholar