Eliaš, Ján; Fellner, Klemens; Hofer, Peter; Oberer, Monika; Schreiber, Renate; Zechner, Rudolf The potential roles of transacylation in intracellular lipolysis and related Qssa approximations. (English) Zbl 1522.92022 Bull. Math. Biol. 85, No. 9, Paper No. 82, 37 p. (2023). MSC: 92C40 92C45 34C60 PDFBibTeX XMLCite \textit{J. Eliaš} et al., Bull. Math. Biol. 85, No. 9, Paper No. 82, 37 p. (2023; Zbl 1522.92022) Full Text: DOI arXiv
Eilertsen, Justin; Schnell, Santiago; Walcher, Sebastian Natural parameter conditions for singular perturbations of chemical and biochemical reaction networks. (English) Zbl 1519.92362 Bull. Math. Biol. 85, No. 6, Paper No. 48, 75 p. (2023). Reviewer: Kai Wang (Bengbu) MSC: 92E20 92C40 92C42 92C45 34D15 PDFBibTeX XMLCite \textit{J. Eilertsen} et al., Bull. Math. Biol. 85, No. 6, Paper No. 48, 75 p. (2023; Zbl 1519.92362) Full Text: DOI arXiv
Eilertsen, Justin; Schnell, Santiago On the validity of the stochastic quasi-steady-state approximation in open enzyme catalyzed reactions: timescale separation or singular perturbation? (English) Zbl 1482.92037 Bull. Math. Biol. 84, No. 1, Paper No. 7, 20 p. (2022). MSC: 92C45 35R60 35B25 PDFBibTeX XMLCite \textit{J. Eilertsen} and \textit{S. Schnell}, Bull. Math. Biol. 84, No. 1, Paper No. 7, 20 p. (2022; Zbl 1482.92037) Full Text: DOI arXiv
Adamer, Michael F.; Harrington, Heather A.; Gaffney, Eamonn A.; Woolley, Thomas E. Coloured noise from stochastic inflows in reaction-diffusion systems. (English) Zbl 1437.92168 Bull. Math. Biol. 82, No. 4, Paper No. 44, 28 p. (2020). MSC: 92E20 35Q92 35K57 60J60 PDFBibTeX XMLCite \textit{M. F. Adamer} et al., Bull. Math. Biol. 82, No. 4, Paper No. 44, 28 p. (2020; Zbl 1437.92168) Full Text: DOI arXiv
Kang, Hye-Won; KhudaBukhsh, Wasiur R.; Koeppl, Heinz; Rempała, Grzegorz A. Quasi-steady-state approximations derived from the stochastic model of enzyme kinetics. (English) Zbl 1415.92093 Bull. Math. Biol. 81, No. 5, 1303-1336 (2019). MSC: 92C45 92C42 60J28 PDFBibTeX XMLCite \textit{H.-W. Kang} et al., Bull. Math. Biol. 81, No. 5, 1303--1336 (2019; Zbl 1415.92093) Full Text: DOI arXiv
Eilertsen, Justin; Schnell, Santiago A kinetic analysis of coupled (or auxiliary) enzyme reactions. (English) Zbl 1404.92083 Bull. Math. Biol. 80, No. 12, 3154-3183 (2018). MSC: 92C45 PDFBibTeX XMLCite \textit{J. Eilertsen} and \textit{S. Schnell}, Bull. Math. Biol. 80, No. 12, 3154--3183 (2018; Zbl 1404.92083) Full Text: DOI
Anderson, Alexander R. A. (ed.); Maini, Philip K. (ed.) Mathematical oncology. (English) Zbl 1390.00112 Bull. Math. Biol. 80, No. 5, 945-953 (2018). MSC: 00B15 92-06 PDFBibTeX XMLCite \textit{A. R. A. Anderson} (ed.) and \textit{P. K. Maini} (ed.), Bull. Math. Biol. 80, No. 5, 945--953 (2018; Zbl 1390.00112) Full Text: DOI
Eliaš, Ján Trend to equilibrium for a reaction-diffusion system modelling reversible enzyme reaction. (English) Zbl 1385.92022 Bull. Math. Biol. 80, No. 1, 104-129 (2018). MSC: 92C45 35K57 PDFBibTeX XMLCite \textit{J. Eliaš}, Bull. Math. Biol. 80, No. 1, 104--129 (2018; Zbl 1385.92022) Full Text: DOI arXiv
Flondor, Paul; Olteanu, Mircea; Ştefan, Radu Qualitative analysis of an ODE model of a class of enzymatic reactions. Some results on global stability of messenger RNA-microRNA interaction. (English) Zbl 1385.92023 Bull. Math. Biol. 80, No. 1, 32-45 (2018). MSC: 92C45 34D23 34C60 34D20 PDFBibTeX XMLCite \textit{P. Flondor} et al., Bull. Math. Biol. 80, No. 1, 32--45 (2018; Zbl 1385.92023) Full Text: DOI
Meinecke, Lina Multiscale modeling of diffusion in a crowded environment. (English) Zbl 1382.92145 Bull. Math. Biol. 79, No. 11, 2672-2695 (2017). MSC: 92C42 92C37 60J70 PDFBibTeX XMLCite \textit{L. Meinecke}, Bull. Math. Biol. 79, No. 11, 2672--2695 (2017; Zbl 1382.92145) Full Text: DOI arXiv Link
Kollár, Richard; Šišková, Katarína Extension and justification of quasi-steady-state approximation for reversible bimolecular binding. (English) Zbl 1335.92034 Bull. Math. Biol. 77, No. 7, 1401-1436 (2015). MSC: 92C45 92C40 PDFBibTeX XMLCite \textit{R. Kollár} and \textit{K. Šišková}, Bull. Math. Biol. 77, No. 7, 1401--1436 (2015; Zbl 1335.92034) Full Text: DOI
Bakalis, Evangelos; Kosmas, Marios; Papamichael, Emmanouel M. Perturbation theory in the catalytic rate constant of the Henri-Michaelis-Menten enzymatic reaction. (English) Zbl 1362.92024 Bull. Math. Biol. 74, No. 11, 2535-2546 (2012). MSC: 92C45 PDFBibTeX XMLCite \textit{E. Bakalis} et al., Bull. Math. Biol. 74, No. 11, 2535--2546 (2012; Zbl 1362.92024) Full Text: DOI
Chaffee, J.; Kuske, R. The effect of loss of immunity on noise-induced sustained oscillations in epidemics. (English) Zbl 1334.92228 Bull. Math. Biol. 73, No. 11, 2552-2574 (2011). MSC: 92C60 92D30 PDFBibTeX XMLCite \textit{J. Chaffee} and \textit{R. Kuske}, Bull. Math. Biol. 73, No. 11, 2552--2574 (2011; Zbl 1334.92228) Full Text: DOI
Gadgil, Chetan J. Size-independent differences between the mean of discrete stochastic systems and the corresponding continuous deterministic systems. (English) Zbl 1173.92016 Bull. Math. Biol. 71, No. 7, 1599-1611 (2009). MSC: 92C45 37N25 37H99 PDFBibTeX XMLCite \textit{C. J. Gadgil}, Bull. Math. Biol. 71, No. 7, 1599--1611 (2009; Zbl 1173.92016) Full Text: DOI arXiv
Armstrong, Nicola J.; Painter, Kevin J.; Sherratt, Jonathan A. Adding adhesion to a chemical signaling model for somite formation. (English) Zbl 1169.92008 Bull. Math. Biol. 71, No. 1, 1-24 (2009). MSC: 92C15 92C40 35Q92 92C37 92C20 PDFBibTeX XMLCite \textit{N. J. Armstrong} et al., Bull. Math. Biol. 71, No. 1, 1--24 (2009; Zbl 1169.92008) Full Text: DOI
Rudge, Tim; Burrage, Kevin Effects of intrinsic and extrinsic noise can accelerate juxtacrine pattern formation. (English) Zbl 1142.92002 Bull. Math. Biol. 70, No. 4, 971-991 (2008). MSC: 92C15 34A99 92C37 PDFBibTeX XMLCite \textit{T. Rudge} and \textit{K. Burrage}, Bull. Math. Biol. 70, No. 4, 971--991 (2008; Zbl 1142.92002) Full Text: DOI
Vellela, Melissa; Qian, Hong A quasistationary analysis of a stochastic chemical reaction: Keizer’s paradox. (English) Zbl 1298.92129 Bull. Math. Biol. 69, No. 5, 1727-1746 (2007). MSC: 92E20 60J25 PDFBibTeX XMLCite \textit{M. Vellela} and \textit{H. Qian}, Bull. Math. Biol. 69, No. 5, 1727--1746 (2007; Zbl 1298.92129) Full Text: DOI
Pedersen, Morten Gram; Bersani, Alberto M.; Bersani, Enrico The total quasi-steady-state approximation for fully competitive enzyme reactions. (English) Zbl 1133.92323 Bull. Math. Biol. 69, No. 1, 433-457 (2007). MSC: 92C45 37N25 PDFBibTeX XMLCite \textit{M. G. Pedersen} et al., Bull. Math. Biol. 69, No. 1, 433--457 (2007; Zbl 1133.92323) Full Text: DOI
Torralba, Antonio S.; Rodríguez, Yoel Susceptibilities of an irreversible Michaelis-Menten enzyme. (English) Zbl 1334.92183 Bull. Math. Biol. 68, No. 6, 1335-1353 (2006). MSC: 92C45 PDFBibTeX XMLCite \textit{A. S. Torralba} and \textit{Y. Rodríguez}, Bull. Math. Biol. 68, No. 6, 1335--1353 (2006; Zbl 1334.92183) Full Text: DOI