Fischer, Michael; Kanzler, Laura; Schmeiser, Christian One-dimensional short-range nearest-neighbor interaction and its nonlinear diffusion limit. (English) Zbl 07802044 SIAM J. Appl. Math. 84, No. 1, 1-18 (2024). MSC: 82C22 35R37 35K55 92C15 PDFBibTeX XMLCite \textit{M. Fischer} et al., SIAM J. Appl. Math. 84, No. 1, 1--18 (2024; Zbl 07802044) Full Text: DOI arXiv
Delacour, Julia; Doumic, Marie; Martens, Sascha; Schmeiser, Christian; Zaffagnini, Gabriele A mathematical model of p62-ubiquitin aggregates in autophagy. (English) Zbl 1480.92071 J. Math. Biol. 84, No. 1-2, Paper No. 3, 24 p. (2022). MSC: 92C40 92C37 34C60 PDFBibTeX XMLCite \textit{J. Delacour} et al., J. Math. Biol. 84, No. 1--2, Paper No. 3, 24 p. (2022; Zbl 1480.92071) Full Text: DOI arXiv
Milišić, Vuk; Schmeiser, Christian Asymptotic limits for a nonlinear integro-differential equation modelling leukocytes’ rolling on arterial walls. (English) Zbl 1481.92023 Nonlinearity 35, No. 2, 843-869 (2022). MSC: 92C17 45D05 45M05 92B05 92C35 PDFBibTeX XMLCite \textit{V. Milišić} and \textit{C. Schmeiser}, Nonlinearity 35, No. 2, 843--869 (2022; Zbl 1481.92023) Full Text: DOI arXiv
Jankowiak, Gaspard; Peurichard, Diane; Reversat, Anne; Schmeiser, Christian; Sixt, Michael Modeling adhesion-independent cell migration. (English) Zbl 1436.35225 Math. Models Methods Appl. Sci. 30, No. 3, 513-537 (2020). MSC: 35K40 35K51 35Q92 35A15 92C17 PDFBibTeX XMLCite \textit{G. Jankowiak} et al., Math. Models Methods Appl. Sci. 30, No. 3, 513--537 (2020; Zbl 1436.35225) Full Text: DOI arXiv
Manhart, Angelika; Schmeiser, Christian Existence of and decay to equilibrium of the filament end density along the leading edge of the lamellipodium. (English) Zbl 1414.35241 J. Math. Biol. 74, No. 1-2, 169-193 (2017). Reviewer: Johannes Lankeit (Paderborn) MSC: 35Q92 35F61 35B35 35B32 92C37 PDFBibTeX XMLCite \textit{A. Manhart} and \textit{C. Schmeiser}, J. Math. Biol. 74, No. 1--2, 169--193 (2017; Zbl 1414.35241) Full Text: DOI arXiv
Hirsch, Stefanie; Manhart, Angelika; Schmeiser, Christian Mathematical modeling of myosin induced bistability of lamellipodial fragments. (English) Zbl 1364.35384 J. Math. Biol. 74, No. 1-2, 1-22 (2017). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q92 34D20 92C17 92C37 PDFBibTeX XMLCite \textit{S. Hirsch} et al., J. Math. Biol. 74, No. 1--2, 1--22 (2017; Zbl 1364.35384) Full Text: DOI arXiv
Calvez, Vincent; Raoul, Gaël; Schmeiser, Christian Confinement by biased velocity jumps: aggregation of Escherichia coli. (English) Zbl 1337.35155 Kinet. Relat. Models 8, No. 4, 651-666 (2015). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35Q92 35B40 92C17 PDFBibTeX XMLCite \textit{V. Calvez} et al., Kinet. Relat. Models 8, No. 4, 651--666 (2015; Zbl 1337.35155) Full Text: DOI arXiv
Freistühler, Heinrich; Schmeiser, Christian; Sfakianakis, Nikolaos Stable length distributions in colocalized polymerizing and depolymerizing protein filaments. (English) Zbl 1325.92029 SIAM J. Appl. Math. 72, No. 5, 1428-1448 (2012). MSC: 92C37 PDFBibTeX XMLCite \textit{H. Freistühler} et al., SIAM J. Appl. Math. 72, No. 5, 1428--1448 (2012; Zbl 1325.92029) Full Text: DOI Link
Ölz, Dietmar; Schmeiser, Christian How do cells move? Mathematical modeling of cytoskeleton dynamics and cell migration. (English) Zbl 1404.92038 Chauvière, Arnaud et al., Cell mechanics. From single scale-based models to multiscale modeling. Boca Raton, FL: CRC Press (ISBN 978-1-4200-9454-1/hbk; 978-1-4200-9455-8/ebook). Chapman & Hall/CRC Mathematical and Computational Biology Series, 133-157 (2010). MSC: 92C17 35Q92 PDFBibTeX XMLCite \textit{D. Ölz} and \textit{C. Schmeiser}, in: Cell mechanics. From single scale-based models to multiscale modeling. Boca Raton, FL: CRC Press. 133--157 (2010; Zbl 1404.92038)
Oelz, Dietmar; Schmeiser, Christian Derivation of a model for symmetric lamellipodia with instantaneous cross-link turnover. (English) Zbl 1221.92033 Arch. Ration. Mech. Anal. 198, No. 3, 963-980 (2010). MSC: 92C37 37N25 92C40 PDFBibTeX XMLCite \textit{D. Oelz} and \textit{C. Schmeiser}, Arch. Ration. Mech. Anal. 198, No. 3, 963--980 (2010; Zbl 1221.92033) Full Text: DOI
Anguige, K.; Schmeiser, C. A one-dimensional model of cell diffusion and aggregation, incorporating volume filling and cell-to-cell adhesion. (English) Zbl 1162.92009 J. Math. Biol. 58, No. 3, 395-427 (2009). MSC: 92C17 92C37 35R25 35K55 35Q92 35B35 PDFBibTeX XMLCite \textit{K. Anguige} and \textit{C. Schmeiser}, J. Math. Biol. 58, No. 3, 395--427 (2009; Zbl 1162.92009) Full Text: DOI
Hillen, T.; Painter, K.; Schmeiser, C. Global existence for chemotaxis with finite sampling radius. (English) Zbl 1116.92011 Discrete Contin. Dyn. Syst., Ser. B 7, No. 1, 125-144 (2007). MSC: 92C17 35K10 35Q92 35B99 65C60 PDFBibTeX XMLCite \textit{T. Hillen} et al., Discrete Contin. Dyn. Syst., Ser. B 7, No. 1, 125--144 (2007; Zbl 1116.92011) Full Text: DOI
Chalub, Fabio; Dolak-Struss, Yasmin; Markowich, Peter; Oelz, Dietmar; Schmeiser, Christian; Soreff, Alexander Model hierarchies for cell aggregation by chemotaxis. (English) Zbl 1094.92009 Math. Models Methods Appl. Sci. 16, No. 7, Suppl., 1173-1197 (2006). MSC: 92C17 35K57 60H15 35Q92 60J70 PDFBibTeX XMLCite \textit{F. Chalub} et al., Math. Models Methods Appl. Sci. 16, No. 7, 1173--1197 (2006; Zbl 1094.92009) Full Text: DOI
Oelz, Dietmar; Schmeiser, Christian; Soreff, Alexander Multistep navigation of leukocytes: a stochastic model with memory effects. (English) Zbl 1080.92015 Math. Med. Biol. 22, No. 4, 291-303 (2005). MSC: 92C17 92C50 60J70 35Q92 PDFBibTeX XMLCite \textit{D. Oelz} et al., Math. Med. Biol. 22, No. 4, 291--303 (2005; Zbl 1080.92015) Full Text: DOI
Dolak, Y.; Schmeiser, C. Kinetic models for chemotaxis: Hydrodynamic limits and spatio-temporal mechanisms. (English) Zbl 1077.92003 J. Math. Biol. 51, No. 6, 595-615 (2005). MSC: 92C17 35Q92 37N25 PDFBibTeX XMLCite \textit{Y. Dolak} and \textit{C. Schmeiser}, J. Math. Biol. 51, No. 6, 595--615 (2005; Zbl 1077.92003) Full Text: DOI
Chalub, Fabio A. C. C.; Markowich, Peter A.; Perthame, Benoît; Schmeiser, Christian Kinetic models for chemotaxis and their drift-diffusion limits. (English) Zbl 1052.92005 Monatsh. Math. 142, No. 1-2, 123-141 (2004). MSC: 92C17 35K90 82D99 35K99 35Q92 PDFBibTeX XMLCite \textit{F. A. C. C. Chalub} et al., Monatsh. Math. 142, No. 1--2, 123--141 (2004; Zbl 1052.92005) Full Text: DOI