Jeong, Darae; Ham, Seokjun; Kim, Junseok Direct comparison study of the Cahn-Hilliard equation with real experimental data. (English) Zbl 1511.35213 J. Korean Soc. Ind. Appl. Math. 26, No. 4, 333-342 (2022). MSC: 35K35 35K58 35-11 PDF BibTeX XML Cite \textit{D. Jeong} et al., J. Korean Soc. Ind. Appl. Math. 26, No. 4, 333--342 (2022; Zbl 1511.35213) Full Text: DOI
Yao, Wenhao; Kim, Chun Il Deformation analysis of nonuniform lipid membrane subjected to local inflammations. (English) Zbl 1483.53120 Math. Mech. Complex Syst. 9, No. 2, 203-229 (2021). MSC: 53Z10 74K15 92B99 92C45 PDF BibTeX XML Cite \textit{W. Yao} and \textit{C. I. Kim}, Math. Mech. Complex Syst. 9, No. 2, 203--229 (2021; Zbl 1483.53120) Full Text: DOI
Hendrickson, Brett; Shirani, Milad; Steigmann, David J. On the equations of equilibrium for asymmetric tilted lipid bilayers. (English) Zbl 1486.53110 Math. Mech. Complex Syst. 9, No. 2, 153-166 (2021). MSC: 53Z10 92C05 74K25 76A10 PDF BibTeX XML Cite \textit{B. Hendrickson} et al., Math. Mech. Complex Syst. 9, No. 2, 153--166 (2021; Zbl 1486.53110) Full Text: DOI
Mendanha, Sebastião A.; Cardoso, Wesley B.; Avelar, Ardiley T.; Bazeia, Dionisio Scalar field model applied to the lamellar to the inverse hexagonal phase transition in lipid systems. (English) Zbl 1455.37074 Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105446, 7 p. (2020). MSC: 37N25 82B26 92B05 PDF BibTeX XML Cite \textit{S. A. Mendanha} et al., Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105446, 7 p. (2020; Zbl 1455.37074) Full Text: DOI
Hendrickson, Brett; Shirani, Milad; Steigmann, David J. Equilibrium theory for a lipid bilayer with a conforming cytoskeletal membrane. (English) Zbl 1444.53021 Math. Mech. Complex Syst. 8, No. 1, 69-99 (2020). MSC: 53B50 74K25 PDF BibTeX XML Cite \textit{B. Hendrickson} et al., Math. Mech. Complex Syst. 8, No. 1, 69--99 (2020; Zbl 1444.53021) Full Text: DOI
Zeidi, Mahdi; Kim, Chun Il Notes on superposed incremental deformations in the mechanics of lipid membranes. (English) Zbl 1425.74273 Math. Mech. Solids 24, No. 1, 181-194 (2019). MSC: 74K15 PDF BibTeX XML Cite \textit{M. Zeidi} and \textit{C. I. Kim}, Math. Mech. Solids 24, No. 1, 181--194 (2019; Zbl 1425.74273) Full Text: DOI
Belay, Tsegay; Il, Kim Chun; Schiavone, Peter Mechanics of a lipid bilayer subjected to thickness distension and membrane budding. (English) Zbl 1391.74130 Math. Mech. Solids 23, No. 1, 67-84 (2018). MSC: 74K15 74F10 74L15 92C05 PDF BibTeX XML Cite \textit{T. Belay} et al., Math. Mech. Solids 23, No. 1, 67--84 (2018; Zbl 1391.74130) Full Text: DOI
Belay, Tsegay; Kim, Chun Il; Schiavone, Peter Bud formation of lipid membranes in response to the surface diffusion of transmembrane proteins and line tension. (English) Zbl 1395.74062 Math. Mech. Solids 22, No. 11, 2091-2107 (2017). MSC: 74L15 74K15 92C10 PDF BibTeX XML Cite \textit{T. Belay} et al., Math. Mech. Solids 22, No. 11, 2091--2107 (2017; Zbl 1395.74062) Full Text: DOI
Kim, Chun Il A discussion on the mechanics of lipid membranes: Lagrange multipliers and a singular substrate. (English) Zbl 1378.53106 Z. Angew. Math. Phys. 68, No. 4, Paper No. 84, 15 p. (2017). MSC: 53Z05 57N05 74G65 PDF BibTeX XML Cite \textit{C. I. Kim}, Z. Angew. Math. Phys. 68, No. 4, Paper No. 84, 15 p. (2017; Zbl 1378.53106) Full Text: DOI
Sauer, Roger A.; Duong, Thang X. On the theoretical foundations of thin solid and liquid shells. (English) Zbl 1373.74069 Math. Mech. Solids 22, No. 3, 343-371 (2017). MSC: 74K25 74B20 PDF BibTeX XML Cite \textit{R. A. Sauer} and \textit{T. X. Duong}, Math. Mech. Solids 22, No. 3, 343--371 (2017; Zbl 1373.74069) Full Text: DOI
Ryham, Rolf J. Local changes in lipid composition to match membrane curvature. (English) Zbl 1360.90165 Mol. Based Math. Biol. 4, 26-35 (2016). MSC: 90C05 81V55 PDF BibTeX XML Cite \textit{R. J. Ryham}, Mol. Based Math. Biol. 4, 26--35 (2016; Zbl 1360.90165) Full Text: DOI
Nowakowski, P.; Maciołek, A.; Dietrich, S. Critical Casimir forces between defects in the 2D Ising model. (English) Zbl 1355.82009 J. Phys. A, Math. Theor. 49, No. 48, Article ID 485001, 24 p. (2016). MSC: 82B20 81T55 82B27 PDF BibTeX XML Cite \textit{P. Nowakowski} et al., J. Phys. A, Math. Theor. 49, No. 48, Article ID 485001, 24 p. (2016; Zbl 1355.82009) Full Text: DOI arXiv
Brodbek, Leonie; Schmid, Friederike Interplay of curvature-induced micro- and nanodomain structures in multicomponent lipid bilayers. (English) Zbl 1348.92053 Int. J. Adv. Eng. Sci. Appl. Math. 8, No. 2, 111-120 (2016). MSC: 92C40 92C37 74K15 PDF BibTeX XML Cite \textit{L. Brodbek} and \textit{F. Schmid}, Int. J. Adv. Eng. Sci. Appl. Math. 8, No. 2, 111--120 (2016; Zbl 1348.92053) Full Text: DOI arXiv
Bahmani, Fatemeh; Christenson, Joel; Rangamani, Padmini Analysis of lipid flow on minimal surfaces. (English) Zbl 1348.76199 Contin. Mech. Thermodyn. 28, No. 1-2, 503-513 (2016). MSC: 76Z05 53Z05 53A10 92C37 PDF BibTeX XML Cite \textit{F. Bahmani} et al., Contin. Mech. Thermodyn. 28, No. 1--2, 503--513 (2016; Zbl 1348.76199) Full Text: DOI
Belay, T.; Kim, C. I.; Schiavone, P. Analytical solution of lipid membrane morphology subjected to boundary forces on the edges of rectangular membranes. (English) Zbl 1348.74241 Contin. Mech. Thermodyn. 28, No. 1-2, 305-315 (2016). MSC: 74L15 74K15 92C37 PDF BibTeX XML Cite \textit{T. Belay} et al., Contin. Mech. Thermodyn. 28, No. 1--2, 305--315 (2016; Zbl 1348.74241) Full Text: DOI
Barthès-Biesel, Dominique Motion and deformation of elastic capsules and vesicles in flow. (English) Zbl 1356.76459 Davis, Stephen H. (ed.) et al., Annual review of fluid mechanics. Vol. 48. Palo Alto, CA: Annual Reviews (ISBN 978-0-8243-0748-6/hbk). Annual Review of Fluid Mechanics 48, 25-52 (2016). MSC: 76Z05 92C10 74F10 76-02 PDF BibTeX XML Cite \textit{D. Barthès-Biesel}, Annu. Rev. Fluid Mech. 48, 25--52 (2016; Zbl 1356.76459) Full Text: DOI
Kim, Chun-Il; Steigmann, David J. Distension-induced gradient capillarity in lipid membranes. (English) Zbl 1341.76036 Contin. Mech. Thermodyn. 27, No. 4-5, 609-621 (2015). MSC: 76Z05 74L15 74K15 92C37 76A20 PDF BibTeX XML Cite \textit{C.-I. Kim} and \textit{D. J. Steigmann}, Contin. Mech. Thermodyn. 27, No. 4--5, 609--621 (2015; Zbl 1341.76036) Full Text: DOI
Lussardi, Luca; Peletier, Mark A.; Röger, Matthias Variational analysis of a mesoscale model for bilayer membranes. (English) Zbl 1306.49020 J. Fixed Point Theory Appl. 15, No. 1, 217-240 (2014). MSC: 49J45 49Q20 74K15 74L15 74G65 92C10 92C05 PDF BibTeX XML Cite \textit{L. Lussardi} et al., J. Fixed Point Theory Appl. 15, No. 1, 217--240 (2014; Zbl 1306.49020) Full Text: DOI arXiv
Jensen, Gary R.; Musso, Emilio; Nicolodi, Lorenzo The geometric Cauchy problem for the membrane shape equation. (English) Zbl 1314.53107 J. Phys. A, Math. Theor. 47, No. 49, Article ID 495201, 22 p. (2014). Reviewer: Andrew Bucki (Edmond) MSC: 53C42 58A17 76A20 49Q05 92B05 PDF BibTeX XML Cite \textit{G. R. Jensen} et al., J. Phys. A, Math. Theor. 47, No. 49, Article ID 495201, 22 p. (2014; Zbl 1314.53107) Full Text: DOI arXiv
Tasaki, Sohei Phase-separating elastic system of mixed lipid bilayers. (English) Zbl 1398.92027 Physica D 246, No. 1, 23-38 (2013). MSC: 92C10 65M99 35Q92 35B32 PDF BibTeX XML Cite \textit{S. Tasaki}, Physica D 246, No. 1, 23--38 (2013; Zbl 1398.92027) Full Text: DOI
Agrawal, Ashutosh; Steigmann, David J. Boundary value problems in the theory of lipid membranes. (English) Zbl 1234.74035 Contin. Mech. Thermodyn. 21, No. 1, 57-82 (2009). MSC: 74K15 74L15 92C10 PDF BibTeX XML Cite \textit{A. Agrawal} and \textit{D. J. Steigmann}, Contin. Mech. Thermodyn. 21, No. 1, 57--82 (2009; Zbl 1234.74035) Full Text: DOI
Prasad, Ashok; Kondev, Jané; Stone, Howard A. Drift in supported membranes. (English) Zbl 1182.76609 Phys. Fluids 19, No. 11, Paper No. 113103, 5 p. (2007). MSC: 76-XX PDF BibTeX XML Cite \textit{A. Prasad} et al., Phys. Fluids 19, No. 11, Paper No. 113103, 5 p. (2007; Zbl 1182.76609) Full Text: DOI
May, E. R.; Narang, A.; Kopelevich, D. I. Molecular modeling of key elastic properties for inhomogeneous lipid bilayers. (English) Zbl 1125.92024 Mol. Simul. 33, No. 9-10, 787-797 (2007). MSC: 92C37 92C05 82D99 PDF BibTeX XML Cite \textit{E. R. May} et al., Mol. Simul. 33, No. 9--10, 787--797 (2007; Zbl 1125.92024) Full Text: DOI
Sugii, Taisuke; Takagi, Shu; Matsumoto, Yoichiro A meso-scale analysis of lipid bilayers with the dissipative particle dynamics method: thermally fluctuating interfaces. (English) Zbl 1375.76152 Int. J. Numer. Methods Fluids 54, No. 6-8, 831-840 (2007). MSC: 76M28 PDF BibTeX XML Cite \textit{T. Sugii} et al., Int. J. Numer. Methods Fluids 54, No. 6--8, 831--840 (2007; Zbl 1375.76152) Full Text: DOI
Tu, Zhanchun; Ou-Yang, Zhongcan Variational problems in inelastic theory of biomembranes, smectic-A liquid crystals, and carbon related structures. (English) Zbl 1112.74018 Mladenov, Ivaïlo (ed.) et al., Proceedings of the 7th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 2–10, 2005. Sofia: Bulgarian Academy of Sciences (ISBN 954-8495-30-9/pbk). 237-248 (2006). MSC: 74G65 74K15 74L15 82D30 PDF BibTeX XML Cite \textit{Z. Tu} and \textit{Z. Ou-Yang}, in: Proceedings of the 7th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 2--10, 2005. Sofia: Bulgarian Academy of Sciences. 237--248 (2006; Zbl 1112.74018) Full Text: arXiv
Foltin, Georg; Lehrer, Raphael A. Orientational order on curved surfaces – the high temperature region. (English) Zbl 0964.82027 J. Phys. A, Math. Gen. 33, No. 6, 1139-1150 (2000). MSC: 82B44 82D55 PDF BibTeX XML Cite \textit{G. Foltin} and \textit{R. A. Lehrer}, J. Phys. A, Math. Gen. 33, No. 6, 1139--1150 (2000; Zbl 0964.82027) Full Text: DOI arXiv
Lipowsky, R. (ed.); Sackmann, E. (ed.) Handbook of biological physics. Vol. 1: Structure and dynamics of membranes. In 2 vol. (English) Zbl 0984.92503 Amsterdam: Elsevier. 1036 p. (1995). MSC: 92C05 92-00 92C30 PDF BibTeX XML Cite \textit{R. Lipowsky} (ed.) and \textit{E. Sackmann} (ed.), Handbook of biological physics. Vol. 1: Structure and dynamics of membranes. In 2 vol. Amsterdam: Elsevier (1995; Zbl 0984.92503)
Liebovitch, Larry S. Analysis of fractal ion channel gating kinetics: Kinetic rates, energy levels, and activation energies. (English) Zbl 0661.92004 Math. Biosci. 93, No. 1, 97-115 (1989). MSC: 92Cxx 92C05 PDF BibTeX XML Cite \textit{L. S. Liebovitch}, Math. Biosci. 93, No. 1, 97--115 (1989; Zbl 0661.92004) Full Text: DOI
Lumsden, Charles J. Receptors and functional linkage in membrane permeability: A quantum mechanical model. (English) Zbl 0611.92006 Bull. Math. Biol. 48, 545-567 (1986). Reviewer: M.Baake MSC: 92C05 92Cxx 81-01 92B05 76Z05 PDF BibTeX XML Cite \textit{C. J. Lumsden}, Bull. Math. Biol. 48, 545--567 (1986; Zbl 0611.92006) Full Text: DOI