Cusseddu, Davide; Madzvamuse, Anotida Numerical investigations of the bulk-surface wave pinning model. (English) Zbl 1504.35580 Math. Biosci. 354, Article ID 108925, 11 p. (2022). MSC: 35Q92 92C37 92-04 92-08 92-10 35B36 35K57 35R01 58J90 65-04 65M60 65M06 65N30 PDFBibTeX XMLCite \textit{D. Cusseddu} and \textit{A. Madzvamuse}, Math. Biosci. 354, Article ID 108925, 11 p. (2022; Zbl 1504.35580) Full Text: DOI arXiv
Engwer, Christian; Westerheide, Sebastian An unfitted dG scheme for coupled bulk-surface PDEs on complex geometries. (English) Zbl 1523.65082 Comput. Methods Appl. Math. 21, No. 3, 569-591 (2021). Reviewer: Baasansuren Jadamba (Rochester) MSC: 65M60 65M85 65M12 65M15 35B36 35K57 92C05 35Q92 35R01 PDFBibTeX XMLCite \textit{C. Engwer} and \textit{S. Westerheide}, Comput. Methods Appl. Math. 21, No. 3, 569--591 (2021; Zbl 1523.65082) Full Text: DOI
Jones, Benjamin; Ullah, Sheik Ahmed; Wang, Siwen; Zhao, Shan Adaptive pseudo-time methods for the Poisson-Boltzmann equation with Eulerian solvent excluded surface. (English) Zbl 1469.92049 Commun. Inf. Syst. 21, No. 1, 85-123 (2021). MSC: 92C40 65N99 35Q92 PDFBibTeX XMLCite \textit{B. Jones} et al., Commun. Inf. Syst. 21, No. 1, 85--123 (2021; Zbl 1469.92049) Full Text: DOI arXiv
Balac, Stéphane; Chupin, Laurent; Martin, Sébastien Computation of the magnetic potential induced by a collection of spherical particles using series expansions. (English) Zbl 1446.65196 ESAIM, Math. Model. Numer. Anal. 54, No. 4, 1073-1109 (2020). MSC: 65N99 65N30 65N80 65N15 41-04 41A58 78A30 92C55 35Q92 PDFBibTeX XMLCite \textit{S. Balac} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 4, 1073--1109 (2020; Zbl 1446.65196) Full Text: DOI HAL
Ptashnyk, Mariya; Venkataraman, Chandrasekhar Multiscale analysis and simulation of a signaling process with surface diffusion. (English) Zbl 1446.35228 Multiscale Model. Simul. 18, No. 2, 851-886 (2020). MSC: 35Q92 35B27 35K55 65M60 92C37 PDFBibTeX XMLCite \textit{M. Ptashnyk} and \textit{C. Venkataraman}, Multiscale Model. Simul. 18, No. 2, 851--886 (2020; Zbl 1446.35228) Full Text: DOI arXiv
Zhao, Shubo; Xiao, Xufeng; Zhao, Jianping; Feng, Xinlong A Petrov-Galerkin finite element method for simulating chemotaxis models on stationary surfaces. (English) Zbl 1452.92011 Comput. Math. Appl. 79, No. 11, 3189-3205 (2020). Reviewer: Piotr Biler (Wrocław) MSC: 92C17 35Q92 65N30 PDFBibTeX XMLCite \textit{S. Zhao} et al., Comput. Math. Appl. 79, No. 11, 3189--3205 (2020; Zbl 1452.92011) Full Text: DOI
Barrett, John W.; Garcke, Harald; Nürnberg, Robert Parametric finite element approximations of curvature-driven interface evolutions. (English) Zbl 1455.35185 Bonito, Andrea (ed.) et al., Geometric partial differential equations. Part I. Amsterdam: Elsevier/North Holland. Handb. Numer. Anal. 21, 275-423 (2020). MSC: 35Q35 76D05 76D07 76T06 76M10 80A22 92C05 65M60 65N30 65M22 35R35 PDFBibTeX XMLCite \textit{J. W. Barrett} et al., Handb. Numer. Anal. 21, 275--423 (2020; Zbl 1455.35185) Full Text: DOI arXiv
Werner, Philipp; Burger, Martin; Pietschmann, Jan-Frederik A PDE model for bleb formation and interaction with linker proteins. (English) Zbl 1444.92032 Trans. Math. Appl. 4, No. 1, Article ID tnaa001, 59 p. (2020). MSC: 92C37 35Q92 PDFBibTeX XMLCite \textit{P. Werner} et al., Trans. Math. Appl. 4, Article ID tnaa001, 59 p. (2020; Zbl 1444.92032) Full Text: DOI arXiv
Cusseddu, D.; Edelstein-Keshet, L.; Mackenzie, J. A.; Portet, S.; Madzvamuse, A. A coupled bulk-surface model for cell polarisation. (English) Zbl 1422.92035 J. Theor. Biol. 481, 119-135 (2019). MSC: 92C37 35K57 35Q92 92C17 65N30 PDFBibTeX XMLCite \textit{D. Cusseddu} et al., J. Theor. Biol. 481, 119--135 (2019; Zbl 1422.92035) Full Text: DOI arXiv Link
Hazra, Tania; Ullah, Sheik Ahmed; Wang, Siwen; Alexov, Emil; Zhao, Shan A super-Gaussian Poisson-Boltzmann model for electrostatic free energy calculation: smooth dielectric distribution for protein cavities and in both water and vacuum states. (English) Zbl 1418.92042 J. Math. Biol. 79, No. 2, 631-672 (2019). MSC: 92C40 35Q92 65M06 PDFBibTeX XMLCite \textit{T. Hazra} et al., J. Math. Biol. 79, No. 2, 631--672 (2019; Zbl 1418.92042) Full Text: DOI
Čiegis, Raimondas; Katauskis, Pranas; Skakauskas, Vladas The robust finite-volume schemes for modeling nonclassical surface reactions. (English) Zbl 1416.92195 Nonlinear Anal., Model. Control 23, No. 2, 234-250 (2018). MSC: 92E20 65M08 35Q92 PDFBibTeX XMLCite \textit{R. Čiegis} et al., Nonlinear Anal., Model. Control 23, No. 2, 234--250 (2018; Zbl 1416.92195) Full Text: DOI
Wu, Hao; Ponce de León, Marco Avila; Othmer, Hans G. Getting in shape and swimming: the role of cortical forces and membrane heterogeneity in eukaryotic cells. (English) Zbl 1410.35143 J. Math. Biol. 77, No. 3, 595-626 (2018). MSC: 35Q35 49Q10 49S05 70G45 92C10 35Q92 76B45 76D05 65M38 65M06 76D07 PDFBibTeX XMLCite \textit{H. Wu} et al., J. Math. Biol. 77, No. 3, 595--626 (2018; Zbl 1410.35143) Full Text: DOI arXiv Link
Kozlov, Vladimir; Nazarov, Sergei; Zavorokhin, German A fractal graph model of capillary type systems. (English) Zbl 1391.76896 Complex Var. Elliptic Equ. 63, No. 7-8, 1044-1068 (2018). MSC: 76Z05 34B45 35B45 35Q92 35R02 92C35 76B45 PDFBibTeX XMLCite \textit{V. Kozlov} et al., Complex Var. Elliptic Equ. 63, No. 7--8, 1044--1068 (2018; Zbl 1391.76896) Full Text: DOI arXiv
Fellner, Klemens; Latos, Evangelos; Tang, Bao Quoc Well-posedness and exponential equilibration of a volume-surface reaction-diffusion system with nonlinear boundary coupling. (English) Zbl 1392.35186 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 3, 643-673 (2018). Reviewer: Jörg Härterich (Bochum) MSC: 35K61 35Q92 92C17 35A01 35B40 35K57 35K65 PDFBibTeX XMLCite \textit{K. Fellner} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 3, 643--673 (2018; Zbl 1392.35186) Full Text: DOI arXiv
Alphonse, Amal; Elliott, Charles M.; Terra, Joana A coupled ligand-receptor bulk-surface system on a moving domain: well posedness, regularity, and convergence to equilibrium. (English) Zbl 1390.35144 SIAM J. Math. Anal. 50, No. 2, 1544-1592 (2018). MSC: 35K57 35Q92 35R01 35R37 92C37 PDFBibTeX XMLCite \textit{A. Alphonse} et al., SIAM J. Math. Anal. 50, No. 2, 1544--1592 (2018; Zbl 1390.35144) Full Text: DOI arXiv
Deng, Weishan; Xu, Jin; Zhao, Shan On developing stable finite element methods for pseudo-time simulation of biomolecular electrostatics. (English) Zbl 1383.78036 J. Comput. Appl. Math. 330, 456-474 (2018). Reviewer: Jichun Li (Las Vegas) MSC: 78M10 78A30 92C40 65N50 35Q20 35Q60 35B65 65M06 65M12 78A70 PDFBibTeX XMLCite \textit{W. Deng} et al., J. Comput. Appl. Math. 330, 456--474 (2018; Zbl 1383.78036) Full Text: DOI
Barrett, John W.; Garcke, Harald; Nürnberg, Robert Finite element approximation for the dynamics of fluidic two-phase biomembranes. (English) Zbl 1383.35153 ESAIM, Math. Model. Numer. Anal. 51, No. 6, 2319-2366 (2017). MSC: 35Q35 65M12 65M60 76D05 76D27 76M10 76Z99 92C05 PDFBibTeX XMLCite \textit{J. W. Barrett} et al., ESAIM, Math. Model. Numer. Anal. 51, No. 6, 2319--2366 (2017; Zbl 1383.35153) Full Text: DOI arXiv
Domschke, Pia; Trucu, Dumitru; Gerisch, Alf; Chaplain, Mark A. J. Structured models of cell migration incorporating molecular binding processes. (English) Zbl 1373.35317 J. Math. Biol. 75, No. 6-7, 1517-1561 (2017). MSC: 35Q92 35K57 65M08 92-08 92C17 92C37 92C50 PDFBibTeX XMLCite \textit{P. Domschke} et al., J. Math. Biol. 75, No. 6--7, 1517--1561 (2017; Zbl 1373.35317) Full Text: DOI arXiv Link
Zheng, Xiaoming; Lowengrub, John An interface-fitted adaptive mesh method for elliptic problems and its application in free interface problems with surface tension. (English) Zbl 1357.65271 Adv. Comput. Math. 42, No. 5, 1225-1257 (2016). Reviewer: Tomas Vejchodsky (Praha) MSC: 65N30 35J25 35R05 76D07 76M10 65N12 92C17 PDFBibTeX XMLCite \textit{X. Zheng} and \textit{J. Lowengrub}, Adv. Comput. Math. 42, No. 5, 1225--1257 (2016; Zbl 1357.65271) Full Text: DOI
Henneke, Felix; Tang, Bao Q. Fast reaction limit of a volume-surface reaction-diffusion system towards a heat equation with dynamical boundary conditions. (English) Zbl 1348.35280 Asymptotic Anal. 98, No. 4, 325-339 (2016). MSC: 35Q92 35K57 80A20 92C37 PDFBibTeX XMLCite \textit{F. Henneke} and \textit{B. Q. Tang}, Asymptotic Anal. 98, No. 4, 325--339 (2016; Zbl 1348.35280) Full Text: DOI
Ambrazevičius, Algirdas Solvability theorem for a mathematical bimolecular reaction model. (English) Zbl 1336.35336 Acta Appl. Math. 140, No. 1, 95-109 (2015). MSC: 35Q92 35A01 35A02 35A09 35M33 92E20 PDFBibTeX XMLCite \textit{A. Ambrazevičius}, Acta Appl. Math. 140, No. 1, 95--109 (2015; Zbl 1336.35336) Full Text: DOI
Rickett, Lydia M.; Penfold, Robert; Blyth, Mark G.; Purvis, Richard; Cooker, Mark J. Incipient mixing by Marangoni effects in slow viscous flow of two immiscible fluid layers. (English) Zbl 1332.35299 IMA J. Appl. Math. 80, No. 5, 1582-1618 (2015). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q35 76D07 35B35 92C05 65M70 76D45 35P10 PDFBibTeX XMLCite \textit{L. M. Rickett} et al., IMA J. Appl. Math. 80, No. 5, 1582--1618 (2015; Zbl 1332.35299) Full Text: DOI
Li, Bo; Sun, Hui; Zhou, Shenggao Stability of a cylindrical solute-solvent interface: effect of geometry, electrostatics, and hydrodynamics. (English) Zbl 1328.35251 SIAM J. Appl. Math. 75, No. 3, 907-928 (2015). Reviewer: Jonathan Zinsl (München) MSC: 35Q92 76D07 78A30 35B35 76Z99 92C05 92C40 PDFBibTeX XMLCite \textit{B. Li} et al., SIAM J. Appl. Math. 75, No. 3, 907--928 (2015; Zbl 1328.35251) Full Text: DOI Link
Mikucki, Michael; Zhou, Y. C. Electrostatic forces on charged surfaces of bilayer lipid membranes. (English) Zbl 1293.35317 SIAM J. Appl. Math. 74, No. 1, 1-21 (2014). MSC: 35Q60 78A30 35Q20 82D60 92C37 35A15 74F15 49S05 PDFBibTeX XMLCite \textit{M. Mikucki} and \textit{Y. C. Zhou}, SIAM J. Appl. Math. 74, No. 1, 1--21 (2014; Zbl 1293.35317) Full Text: DOI arXiv
Guillon, Thomas; Dumont, Yves; Fourcaud, Thierry Numerical methods for the biomechanics of growing trees. (English) Zbl 1252.74058 Comput. Math. Appl. 64, No. 3, 289-309 (2012). MSC: 74S05 74L15 35Q92 35Q74 92-08 65M60 92C80 PDFBibTeX XMLCite \textit{T. Guillon} et al., Comput. Math. Appl. 64, No. 3, 289--309 (2012; Zbl 1252.74058) Full Text: DOI
Fernández, J. R.; Muñiz, M. C.; Núñez, C. A mixed kinetic-diffusion surfactant model for the Henry isotherm. (English) Zbl 1232.65144 J. Math. Anal. Appl. 389, No. 1, 670-684 (2012). MSC: 65N30 35Q92 92E20 PDFBibTeX XMLCite \textit{J. R. Fernández} et al., J. Math. Anal. Appl. 389, No. 1, 670--684 (2012; Zbl 1232.65144) Full Text: DOI
Zhao, Shan Pseudo-time-coupled nonlinear models for biomolecular surface representation and solvation analysis. (English) Zbl 1241.92007 Int. J. Numer. Methods Biomed. Eng. 27, No. 12, 1964-1981 (2011). MSC: 92C05 35Q92 35A15 65M99 PDFBibTeX XMLCite \textit{S. Zhao}, Int. J. Numer. Methods Biomed. Eng. 27, No. 12, 1964--1981 (2011; Zbl 1241.92007) Full Text: DOI
Sazonov, Igor; Yeo, Si Yong; Bevan, Rhodri L. T.; Xie, Xianghua; Van Loon, Raoul; Nithiarasu, Perumal Modelling pipeline for subject-specific arterial blood flow - a review. (English) Zbl 1241.92018 Int. J. Numer. Methods Biomed. Eng. 27, No. 12, 1868-1910 (2011). MSC: 92C35 92C50 92C55 65C20 35Q92 PDFBibTeX XMLCite \textit{I. Sazonov} et al., Int. J. Numer. Methods Biomed. Eng. 27, No. 12, 1868--1910 (2011; Zbl 1241.92018) Full Text: DOI
Fernández, J. R.; Muñiz, M. C. Numerical analysis of surfactant dynamics at air-water interface using the Henry isotherm. (English) Zbl 1227.92059 J. Math. Chem. 49, No. 8, 1624-1645 (2011). MSC: 92E99 65C20 65N30 35Q92 PDFBibTeX XMLCite \textit{J. R. Fernández} and \textit{M. C. Muñiz}, J. Math. Chem. 49, No. 8, 1624--1645 (2011; Zbl 1227.92059) Full Text: DOI
Park, Yeonjeong; Yeghiazarian, Lilit; Stedinger, Jery R.; Montemagno, Carlo D. Numerical approach to Cryptosporidium risk assessment using reliability method. (English) Zbl 1159.92319 Stoch. Environ. Res. Risk Assess. 22, No. 2, 169-183 (2008). MSC: 92D40 35Q92 65N06 62P12 PDFBibTeX XMLCite \textit{Y. Park} et al., Stoch. Environ. Res. Risk Assess. 22, No. 2, 169--183 (2008; Zbl 1159.92319) Full Text: DOI
Haario, H.; Kalachev, L. Model reductions and identifications for multiphase phenomena. (English) Zbl 0940.92033 Math. Eng. Ind. 7, No. 4, 457-478 (1999). MSC: 92E20 35Q92 PDFBibTeX XMLCite \textit{H. Haario} and \textit{L. Kalachev}, Math. Eng. Ind. 7, No. 4, 457--478 (1999; Zbl 0940.92033)
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Brandt, Achi The Gauss center research in multiscale scientific computation. (English) Zbl 0894.65001 ETNA, Electron. Trans. Numer. Anal. 6, 1-34 (1997). Reviewer: W.H.Schmidt (Greifswald) MSC: 65-03 01A74 65N55 65M55 93B52 76M20 35R30 65K10 35Q40 65N25 65C05 65R20 44A12 92C55 45K05 PDFBibTeX XMLCite \textit{A. Brandt}, ETNA, Electron. Trans. Numer. Anal. 6, 1--34 (1997; Zbl 0894.65001) Full Text: EuDML EMIS
Anderssen, R. S.; de Hoog, F. R.; Markey, B. R. Modelling the volatilization of organic soil contaminants: Extension of the Jury, Spencer and Farmer behaviour assessment model and solution. (English) Zbl 0889.92029 Appl. Math. Lett. 10, No. 1, 31-34 (1997); erratum ibid. 10, No. 6, 135 (1997). MSC: 92D40 35K20 35Q92 PDFBibTeX XMLCite \textit{R. S. Anderssen} et al., Appl. Math. Lett. 10, No. 1, 31--34 (1997; Zbl 0889.92029) Full Text: DOI
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Martin, Clyde; Xie, Shishen Observability of the electropotential on a nested cylindrical domain. I: The continuous solution. (English) Zbl 0731.92012 Appl. Math. Comput. 39, No. 3, 207-244 (1990). Reviewer: J.Henry (Le Chesnay) MSC: 92C50 35J25 35Q92 92C30 78A70 42A20 35R30 PDFBibTeX XMLCite \textit{C. Martin} and \textit{S. Xie}, Appl. Math. Comput. 39, No. 3, 207--244 (1990; Zbl 0731.92012) Full Text: DOI