Matonoha, Ctirad; Papáček, Štěpán; Lynnyk, Volodymyr On an optimal setting of constant delays for the D-QSSA model reduction method applied to a class of chemical reaction networks. (English) Zbl 07613025 Appl. Math., Praha 67, No. 6, 831-857 (2022). MSC: 92C45 34A34 65K10 PDF BibTeX XML Cite \textit{C. Matonoha} et al., Appl. Math., Praha 67, No. 6, 831--857 (2022; Zbl 07613025) Full Text: DOI OpenURL
Eilertsen, Justin; Srivastava, Kashvi; Schnell, Santiago Stochastic enzyme kinetics and the quasi-steady-state reductions: application of the slow scale linear noise approximation à la Fenichel. (English) Zbl 07556015 J. Math. Biol. 85, No. 1, Paper No. 3, 27 p. (2022). MSC: 34C60 92C45 34E15 34F05 34C20 34C45 PDF BibTeX XML Cite \textit{J. Eilertsen} et al., J. Math. Biol. 85, No. 1, Paper No. 3, 27 p. (2022; Zbl 07556015) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Roy, Nityananda; Wijaya, Karunia Putra; Götz, Thomas; Sundar, S. Transport of ellipsoidal microplastic particles in a 3D lid-driven cavity under size and aspect ratio variation. (English) Zbl 07427469 Appl. Math. Comput. 413, Article ID 126646, 22 p. (2022). MSC: 76Mxx 76Dxx 76Txx PDF BibTeX XML Cite \textit{N. Roy} et al., Appl. Math. Comput. 413, Article ID 126646, 22 p. (2022; Zbl 07427469) Full Text: DOI OpenURL
Eilertsen, Justin; Tyczynska, Malgorzata Anna; Schnell, Santiago Hunting \(\varepsilon\): the origin and validity of quasi-steady-state reductions in enzyme kinetics. (English) Zbl 1481.92051 SIAM J. Appl. Dyn. Syst. 20, No. 4, 2450-2481 (2021). MSC: 92C45 34D15 PDF BibTeX XML Cite \textit{J. Eilertsen} et al., SIAM J. Appl. Dyn. Syst. 20, No. 4, 2450--2481 (2021; Zbl 1481.92051) Full Text: DOI arXiv OpenURL
Zhuk, P. F.; Karakhim, S. O. Extreme properties of the initial rate of the four-stage reaction of enzyme catalyzed ATP hydrolysis. (English) Zbl 1470.92129 J. Math. Chem. 59, No. 7, 1785-1807 (2021). MSC: 92C45 65H10 PDF BibTeX XML Cite \textit{P. F. Zhuk} and \textit{S. O. Karakhim}, J. Math. Chem. 59, No. 7, 1785--1807 (2021; Zbl 1470.92129) Full Text: DOI OpenURL
Mukherjee, Debasmita; Guin, Lakshmi Narayan; Chakravarty, Santabrata Stability analysis of mathematical modeling of atherosclerotic plaque formation. (English) Zbl 1472.92097 J. Appl. Nonlinear Dyn. 9, No. 3, 361-389 (2020). MSC: 92C37 92C32 PDF BibTeX XML Cite \textit{D. Mukherjee} et al., J. Appl. Nonlinear Dyn. 9, No. 3, 361--389 (2020; Zbl 1472.92097) Full Text: DOI OpenURL
Fellner, Klemens; Kniely, Michael Uniform convergence to equilibrium for a family of drift-diffusion models with trap-assisted recombination and the limiting Shockley-Read-Hall model. (English) Zbl 07270560 J. Elliptic Parabol. Equ. 6, No. 2, 529-598 (2020). MSC: 35Q81 35K57 35B40 35B45 82D37 PDF BibTeX XML Cite \textit{K. Fellner} and \textit{M. Kniely}, J. Elliptic Parabol. Equ. 6, No. 2, 529--598 (2020; Zbl 07270560) Full Text: DOI arXiv OpenURL
Ponce Bobadilla, Ana Victoria; Bartmanski, Bartosz Jan; Grima, Ramon; Othmer, Hans G. The status of the QSSA approximation in stochastic simulations of reaction networks. (English) Zbl 1448.92094 Wood, David R. (ed.) et al., 2018 MATRIX annals. Cham: Springer. MATRIX Book Ser. 3, 137-147 (2020). MSC: 92C45 60H30 PDF BibTeX XML Cite \textit{A. V. Ponce Bobadilla} et al., MATRIX Book Ser. 3, 137--147 (2020; Zbl 1448.92094) Full Text: DOI OpenURL
Bersani, A. M.; Borri, A.; Milanesi, A.; Tomassetti, G.; Vellucci, P. Uniform asymptotic expansions beyond the tQSSA for the Goldbeter-Koshland switch. (English) Zbl 1444.34063 SIAM J. Appl. Math. 80, No. 3, 1123-1152 (2020). MSC: 34C60 34E15 34E05 34C45 92C40 92C45 PDF BibTeX XML Cite \textit{A. M. Bersani} et al., SIAM J. Appl. Math. 80, No. 3, 1123--1152 (2020; Zbl 1444.34063) Full Text: DOI OpenURL
Byun, Jong Hyuk; Jung, Il Hyo Mathematical modeling of the receptor-mediated endocytosis process of targeted therapeutic agents in drug delivery systems. (English) Zbl 1481.92042 Appl. Math. Modelling 79, 300-313 (2020). MSC: 92C40 60H10 60J28 PDF BibTeX XML Cite \textit{J. H. Byun} and \textit{I. H. Jung}, Appl. Math. Modelling 79, 300--313 (2020; Zbl 1481.92042) Full Text: DOI OpenURL
Tsubouchi, Yu; Takeuchi, Yasuhiro; Nakaoka, Shinji Calculation of final size for vector-transmitted epidemic model. (English) Zbl 07610819 Math. Biosci. Eng. 16, No. 4, 2219-2232 (2019). MSC: 92D30 PDF BibTeX XML Cite \textit{Y. Tsubouchi} et al., Math. Biosci. Eng. 16, No. 4, 2219--2232 (2019; Zbl 07610819) Full Text: DOI OpenURL
Dhatt, Sharmistha; Banerjee, Kinshuk Efficacy of quasi-steady-state approximation in Michaelis-Menten kinetics: a stochastic signature. (English) Zbl 1421.92021 J. Math. Chem. 57, No. 7, 1797-1805 (2019). MSC: 92C45 PDF BibTeX XML Cite \textit{S. Dhatt} and \textit{K. Banerjee}, J. Math. Chem. 57, No. 7, 1797--1805 (2019; Zbl 1421.92021) Full Text: DOI OpenURL
Chakravarty, Koyel; Dalal, D. C. Stability analysis of drug dynamics model: a mathematical approach. (English) Zbl 1417.92063 Int. J. Biomath. 12, No. 4, Article ID 1950043, 32 p. (2019). MSC: 92C45 35Q92 34D20 PDF BibTeX XML Cite \textit{K. Chakravarty} and \textit{D. C. Dalal}, Int. J. Biomath. 12, No. 4, Article ID 1950043, 32 p. (2019; Zbl 1417.92063) Full Text: DOI OpenURL
Roy, Amit Kumar; Al Basir, Fahad; Roy, Priti Kumar A vivid cytokines interaction model on psoriasis with the effect of impulse biologic (\(\mathrm{TNF}-\alpha\) inhibitor) therapy. (English) Zbl 1414.92148 J. Theor. Biol. 474, 63-77 (2019). MSC: 92C50 92C37 PDF BibTeX XML Cite \textit{A. K. Roy} et al., J. Theor. Biol. 474, 63--77 (2019; Zbl 1414.92148) Full Text: DOI OpenURL
Jennings, Rachel; Kuang, Yang; Thieme, Horst R.; Wu, Jianhong; Wu, Xiaotian How ticks keep ticking in the adversity of host immune reactions. (English) Zbl 1415.92205 J. Math. Biol. 78, No. 5, 1331-1364 (2019). MSC: 92D40 92D25 34D23 PDF BibTeX XML Cite \textit{R. Jennings} et al., J. Math. Biol. 78, No. 5, 1331--1364 (2019; Zbl 1415.92205) Full Text: DOI OpenURL
Michalaki, Lida I.; Goussis, Dimitris A. Asymptotic analysis of a TMDD model: when a reaction contributes to the destruction of its product. (English) Zbl 1417.34104 J. Math. Biol. 77, No. 3, 821-855 (2018). Reviewer: Nikola Popovic (Edinburgh) MSC: 34C60 92C45 34A26 34C45 37M20 34E20 PDF BibTeX XML Cite \textit{L. I. Michalaki} and \textit{D. A. Goussis}, J. Math. Biol. 77, No. 3, 821--855 (2018; Zbl 1417.34104) Full Text: DOI OpenURL
Marciniak-Czochra, Anna; Mikelić, Andro; Stiehl, Thomas Renormalization group second-order approximation for singularly perturbed nonlinear ordinary differential equations. (English) Zbl 1404.34071 Math. Methods Appl. Sci. 41, No. 14, 5691-5710 (2018). Reviewer: Robert Vrabel (Trnava) MSC: 34E05 34E15 34E10 34A12 PDF BibTeX XML Cite \textit{A. Marciniak-Czochra} et al., Math. Methods Appl. Sci. 41, No. 14, 5691--5710 (2018; Zbl 1404.34071) Full Text: DOI Link OpenURL
Czuppon, Peter; Pfaffelhuber, Peter Limits of noise for autoregulated gene expression. (English) Zbl 1398.92068 J. Math. Biol. 77, No. 4, 1153-1191 (2018). MSC: 92C40 60F05 PDF BibTeX XML Cite \textit{P. Czuppon} and \textit{P. Pfaffelhuber}, J. Math. Biol. 77, No. 4, 1153--1191 (2018; Zbl 1398.92068) Full Text: DOI Link OpenURL
Disser, Karoline; Liero, Matthias; Zinsl, Jonathan Evolutionary \(\Gamma\)-convergence of gradient systems modeling slow and fast chemical reactions. (English) Zbl 1398.34085 Nonlinearity 31, No. 8, 3689-3706 (2018). Reviewer: Robert Vrabel (Trnava) MSC: 34E15 49J40 49J45 80A30 92E20 PDF BibTeX XML Cite \textit{K. Disser} et al., Nonlinearity 31, No. 8, 3689--3706 (2018; Zbl 1398.34085) Full Text: DOI OpenURL
Li, Yang; Ma, Wanbiao; Xiao, Liming; Yang, Weitao Global stability analysis of the equilibrium of an improved time-delayed dynamic model to describe the development of T cells in the thymus. (English) Zbl 1488.34453 Filomat 31, No. 2, 347-361 (2017). MSC: 34K60 34K20 92C37 34K21 PDF BibTeX XML Cite \textit{Y. Li} et al., Filomat 31, No. 2, 347--361 (2017; Zbl 1488.34453) Full Text: DOI OpenURL
Straube, Ronny Operating regimes of covalent modification cycles at high enzyme concentrations. (English) Zbl 1388.92016 J. Theor. Biol. 431, 39-48 (2017). MSC: 92C45 PDF BibTeX XML Cite \textit{R. Straube}, J. Theor. Biol. 431, 39--48 (2017; Zbl 1388.92016) Full Text: DOI OpenURL
Shoffner, S. K.; Schnell, Santiago Approaches for the estimation of timescales in nonlinear dynamical systems: timescale separation in enzyme kinetics as a case study. (English) Zbl 1377.92039 Math. Biosci. 287, 122-129 (2017). MSC: 92C45 PDF BibTeX XML Cite \textit{S. K. Shoffner} and \textit{S. Schnell}, Math. Biosci. 287, 122--129 (2017; Zbl 1377.92039) Full Text: DOI OpenURL
Takagi, Izumi; Marciniak-Czochra, Anna; Härting, Steffen Stable patterns with jump discontinuity in systems with Turing instability and hysteresis. (English) Zbl 1357.35043 Discrete Contin. Dyn. Syst. 37, No. 2, 757-800 (2017). MSC: 35B36 35K57 35B35 PDF BibTeX XML Cite \textit{I. Takagi} et al., Discrete Contin. Dyn. Syst. 37, No. 2, 757--800 (2017; Zbl 1357.35043) Full Text: DOI arXiv OpenURL
Fellner, Klemens; Rosenberger, Stefan; Tang, Bao Quoc Quasi-steady-state approximation and numerical simulation for a volume-surface reaction-diffusion system. (English) Zbl 1348.35110 Commun. Math. Sci. 14, No. 6, 1553-1580 (2016). MSC: 35K57 35B40 35Q92 92C45 PDF BibTeX XML Cite \textit{K. Fellner} et al., Commun. Math. Sci. 14, No. 6, 1553--1580 (2016; Zbl 1348.35110) Full Text: DOI arXiv OpenURL
Alvarez-Ramirez, J.; Femat, R.; Meraz, M.; Ibarra-Valdez, C. Some remarks on the Langmuir-Hinshelwood kinetics. (English) Zbl 1351.92059 J. Math. Chem. 54, No. 2, 375-392 (2016). MSC: 92E20 PDF BibTeX XML Cite \textit{J. Alvarez-Ramirez} et al., J. Math. Chem. 54, No. 2, 375--392 (2016; Zbl 1351.92059) Full Text: DOI OpenURL
Kim, Min Chan Linear stability analysis on the onset of the Rayleigh-Taylor instability of a miscible slice in a porous medium. (English) Zbl 1374.76218 J. Eng. Math. 90, 105-118 (2015). MSC: 76S05 76E17 PDF BibTeX XML Cite \textit{M. C. Kim}, J. Eng. Math. 90, 105--118 (2015; Zbl 1374.76218) Full Text: DOI OpenURL
Khoshnaw, Sarbaz H. A. Reduction of a kinetic model of active export of importins. (English) Zbl 1334.92175 Discrete Contin. Dyn. Syst. 2015, Suppl., 705-722 (2015). MSC: 92C45 92C40 PDF BibTeX XML Cite \textit{S. H. A. Khoshnaw}, Discrete Contin. Dyn. Syst. 2015, 705--722 (2015; Zbl 1334.92175) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{R. Kollár} and \textit{K. Šišková}, Bull. Math. Biol. 77, No. 7, 1401--1436 (2015; Zbl 1335.92034) Full Text: DOI OpenURL
Gandhi, Jayna; Trevelyan, Philip M. J. Onset conditions for a Rayleigh-Taylor instability with step function density profiles. (English) Zbl 1356.76378 J. Eng. Math. 86, 31-48 (2014). MSC: 76T10 PDF BibTeX XML Cite \textit{J. Gandhi} and \textit{P. M. J. Trevelyan}, J. Eng. Math. 86, 31--48 (2014; Zbl 1356.76378) Full Text: DOI OpenURL
Straube, Ronny; Conradi, Carsten Reciprocal enzyme regulation as a source of bistability in covalent modification cycles. (English) Zbl 1330.92053 J. Theor. Biol. 330, 56-74 (2013). MSC: 92C45 PDF BibTeX XML Cite \textit{R. Straube} and \textit{C. Conradi}, J. Theor. Biol. 330, 56--74 (2013; Zbl 1330.92053) Full Text: DOI OpenURL
Dhatt, Sharmistha; Bhattacharyya, Kamal Single-substrate enzyme kinetics: the quasi-steady-state approximation and beyond. (English) Zbl 1320.92048 J. Math. Chem. 51, No. 5, 1467-1477 (2013). MSC: 92C45 PDF BibTeX XML Cite \textit{S. Dhatt} and \textit{K. Bhattacharyya}, J. Math. Chem. 51, No. 5, 1467--1477 (2013; Zbl 1320.92048) Full Text: DOI arXiv OpenURL
Bhattacharyya, Kamal; Dhatt, Sharmistha Enzyme kinetics: a critique of the quasi-steady-state approximation. (English) Zbl 1299.92024 MATCH Commun. Math. Comput. Chem. 70, No. 3, 759-784 (2013). MSC: 92C45 41A21 65L99 PDF BibTeX XML Cite \textit{K. Bhattacharyya} and \textit{S. Dhatt}, MATCH Commun. Math. Comput. Chem. 70, No. 3, 759--784 (2013; Zbl 1299.92024) Full Text: arXiv OpenURL
Vogt, D. A simplified perturbation solution of Michaelis-Menten kinetics equations in a “total” framework. (English) Zbl 1314.92076 J. Math. Chem. 51, No. 9, 2257-2263 (2013). MSC: 92C45 PDF BibTeX XML Cite \textit{D. Vogt}, J. Math. Chem. 51, No. 9, 2257--2263 (2013; Zbl 1314.92076) Full Text: DOI OpenURL
Boulier, François; Lefranc, Marc; Lemaire, François; Morant, Pierre-Emmanuel Model reduction of chemical reaction systems using elimination. (English) Zbl 1270.92025 Math. Comput. Sci. 5, No. 3, 289-301 (2011). MSC: 92C45 34C60 37N25 PDF BibTeX XML Cite \textit{F. Boulier} et al., Math. Comput. Sci. 5, No. 3, 289--301 (2011; Zbl 1270.92025) Full Text: DOI HAL OpenURL
Baleizão, Carlos; Berberan-Santos, Mário N. Enzyme kinetics with a twist. (English) Zbl 1227.92028 J. Math. Chem. 49, No. 9, 1949-1960 (2011). MSC: 92C45 37N25 92E20 PDF BibTeX XML Cite \textit{C. Baleizão} and \textit{M. N. Berberan-Santos}, J. Math. Chem. 49, No. 9, 1949--1960 (2011; Zbl 1227.92028) Full Text: DOI OpenURL
Flach, Edward H.; Schnell, Santiago Stability of open pathways. (English) Zbl 1204.92032 Math. Biosci. 228, No. 2, 147-152 (2010). MSC: 92C40 37N25 92C45 PDF BibTeX XML Cite \textit{E. H. Flach} and \textit{S. Schnell}, Math. Biosci. 228, No. 2, 147--152 (2010; Zbl 1204.92032) Full Text: DOI Link OpenURL
Chachuat, B.; Mitsos, A.; Barton, P. I. Optimal start-up of microfabricated power generation processes employing fuel cells. (English) Zbl 1202.49005 Optim. Control Appl. Methods 31, No. 5, 471-495 (2010). MSC: 49J20 49N90 93A30 PDF BibTeX XML Cite \textit{B. Chachuat} et al., Optim. Control Appl. Methods 31, No. 5, 471--495 (2010; Zbl 1202.49005) Full Text: DOI OpenURL
Bersani, A. M.; Bersani, E.; Mastroeni, L. Deterministic and stochastic models of enzymatic networks-applications to pharmaceutical research. (English) Zbl 1137.92014 Comput. Math. Appl. 55, No. 5, 879-888 (2008). MSC: 92C45 37N25 92C50 60G35 PDF BibTeX XML Cite \textit{A. M. Bersani} et al., Comput. Math. Appl. 55, No. 5, 879--888 (2008; Zbl 1137.92014) Full Text: DOI OpenURL
Rami Tzafriri, A.; Edelman, Elazer R. Quasi-steady-state kinetics at enzyme and substrate concentrations in excess of the Michaelis-Menten constant. (English) Zbl 1451.92159 J. Theor. Biol. 245, No. 4, 737-748 (2007). MSC: 92C45 PDF BibTeX XML Cite \textit{A. Rami Tzafriri} and \textit{E. R. Edelman}, J. Theor. Biol. 245, No. 4, 737--748 (2007; Zbl 1451.92159) Full Text: DOI OpenURL
Erneux, Thomas; Goldbeter, Albert Rescue of the quasi-steady-state approximation in a model for oscillations in an enzymatic cascade. (English) Zbl 1191.34071 SIAM J. Appl. Math. 67, No. 2, 305-320 (2007). MSC: 34E05 34E15 92C45 PDF BibTeX XML Cite \textit{T. Erneux} and \textit{A. Goldbeter}, SIAM J. Appl. Math. 67, No. 2, 305--320 (2007; Zbl 1191.34071) Full Text: DOI OpenURL
Shi, Hongjing; Ma, Wanbiao An improved model of T cell development in the thymus and its stability analysis. (English) Zbl 1089.92026 Math. Biosci. Eng. 3, No. 1, 237-248 (2006). MSC: 92C50 34K20 92C60 PDF BibTeX XML Cite \textit{H. Shi} and \textit{W. Ma}, Math. Biosci. Eng. 3, No. 1, 237--248 (2006; Zbl 1089.92026) Full Text: DOI OpenURL
Tien, Joseph H.; Hazelton, William D.; Sparks, Rachel; Ulrich, Cornelia M. A Michaelis-Menten-style model for the autocatalytic enzyme prostaglandin H synthase. (English) Zbl 1334.92182 Bull. Math. Biol. 67, No. 4, 683-700 (2005). MSC: 92C45 PDF BibTeX XML Cite \textit{J. H. Tien} et al., Bull. Math. Biol. 67, No. 4, 683--700 (2005; Zbl 1334.92182) Full Text: DOI OpenURL
Tzafriri, A. R.; Edelman, E. R. The total quasi-steady-state approximation is valid for reversible enzyme kinetics. (English) Zbl 1439.92105 J. Theor. Biol. 226, No. 3, 303-313 (2004). MSC: 92C45 PDF BibTeX XML Cite \textit{A. R. Tzafriri} and \textit{E. R. Edelman}, J. Theor. Biol. 226, No. 3, 303--313 (2004; Zbl 1439.92105) Full Text: DOI OpenURL
Turner, T. E.; Schnell, S.; Burrage, K. Stochastic approaches for modelling in vivo reactions. (English) Zbl 1087.92035 Comput. Biol. Chem. 28, No. 3, 165-178 (2004). MSC: 92C40 92C45 60G35 65C05 92C37 PDF BibTeX XML Cite \textit{T. E. Turner} et al., Comput. Biol. Chem. 28, No. 3, 165--178 (2004; Zbl 1087.92035) Full Text: DOI OpenURL
Tzafriri, A. R. Michaelis-Menten kinetics at high enzyme concentrations. (English) Zbl 1334.92185 Bull. Math. Biol. 65, No. 6, 1111-1129 (2003). MSC: 92C45 PDF BibTeX XML Cite \textit{A. R. Tzafriri}, Bull. Math. Biol. 65, No. 6, 1111--1129 (2003; Zbl 1334.92185) Full Text: DOI OpenURL
Schnell, S.; Maini, P. K. Enzyme kinetics far from the standard quasi-steady-state and equilibrium approximations. (English) Zbl 0994.92024 Math. Comput. Modelling 35, No. 1-2, 137-144 (2002). MSC: 92C45 34D15 65L99 PDF BibTeX XML Cite \textit{S. Schnell} and \textit{P. K. Maini}, Math. Comput. Modelling 35, No. 1--2, 137--144 (2002; Zbl 0994.92024) Full Text: DOI OpenURL
Tanriver, Ugur; Kar, Aravinda An approximate analytic solution of a particular boundary value problem. (English) Zbl 0992.35022 Int. J. Math. Math. Sci. 27, No. 8, 513-520 (2001). MSC: 35C05 41A46 44A15 PDF BibTeX XML Cite \textit{U. Tanriver} and \textit{A. Kar}, Int. J. Math. Math. Sci. 27, No. 8, 513--520 (2001; Zbl 0992.35022) Full Text: DOI EuDML OpenURL
Schnell, S.; Maini, P. K. Enzyme kinetics at high enzyme concentration. (English) Zbl 1323.92099 Bull. Math. Biol. 62, No. 3, 483-499 (2000). MSC: 92C45 PDF BibTeX XML Cite \textit{S. Schnell} and \textit{P. K. Maini}, Bull. Math. Biol. 62, No. 3, 483--499 (2000; Zbl 1323.92099) Full Text: DOI OpenURL
Schnell, S.; Mendoza, C. Time-dependent closed form solutions for fully competitive enzyme reactions. (English) Zbl 1323.92100 Bull. Math. Biol. 62, No. 2, 321-336 (2000). MSC: 92C45 PDF BibTeX XML Cite \textit{S. Schnell} and \textit{C. Mendoza}, Bull. Math. Biol. 62, No. 2, 321--336 (2000; Zbl 1323.92100) Full Text: DOI OpenURL
Bond, R. A. B.; Mika, J. R.; Martincigh, B. S.; Simoyi, Reuben H. Practical error analysis of the quasi-steady-state approximation. (English) Zbl 0969.65077 Quaest. Math. 23, No. 2, 129-151 (2000). Reviewer: Manuel Calvo (Zaragoza) MSC: 65L70 80A30 80M25 34A34 65L05 PDF BibTeX XML Cite \textit{R. A. B. Bond} et al., Quaest. Math. 23, No. 2, 129--151 (2000; Zbl 0969.65077) Full Text: DOI OpenURL
Schneider, Klaus R.; Wilhelm, Thomas Model reduction by extended quasi-steady-state approximation. (English) Zbl 0970.92028 J. Math. Biol. 40, No. 5, 443-450 (2000). MSC: 92E20 34D15 PDF BibTeX XML Cite \textit{K. R. Schneider} and \textit{T. Wilhelm}, J. Math. Biol. 40, No. 5, 443--450 (2000; Zbl 0970.92028) Full Text: DOI OpenURL
Lorenzini, R.; Passoni, L. A comparison of numerical solvers for equations of tropospheric chemistry. (English) Zbl 0980.65068 Iliev, O. P. (ed.) et al., Recent advances in numerical methods and applications. Proceedings of the 4th international conference, NMA ’98, Sofia, Bulgaria, August 19-23, 1998. Singapore: World Scientific. 748-756 (1999). MSC: 65L05 86A10 34A34 92E20 80A32 PDF BibTeX XML Cite \textit{R. Lorenzini} and \textit{L. Passoni}, in: Recent advances in numerical methods and applications. Proceedings of the 4th international conference, NMA '98, Sofia, Bulgaria, August 19--23, 1998. Singapore: World Scientific. 748--756 (1999; Zbl 0980.65068) OpenURL
LeVeque, Randall J.; Bale, Derek S. Wave propagation methods for conservation laws with source terms. (English) Zbl 0927.35062 Fey, Michael (ed.) et al., Hyperbolic problems: Theory, numerics, applications. Proceedings of the 7th international conference, Zürich, Switzerland, February 1998. Vol. II. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 130, 609-618 (1999). Reviewer: Tim Gutzmer (Zürich) MSC: 35L65 35A35 PDF BibTeX XML Cite \textit{R. J. LeVeque} and \textit{D. S. Bale}, ISNM, Int. Ser. Numer. Math. 130, 609--618 (1999; Zbl 0927.35062) OpenURL
Wills, Peter R.; Kauffman, Stuart A.; Stadler, Bärbel M. R.; Stadler, Peter F. Selection dynamics in autocatalytic systems: Templates replicating through binary ligation. (English) Zbl 0942.92015 Bull. Math. Biol. 60, No. 6, 1073-1098 (1998). MSC: 92C45 92D15 PDF BibTeX XML Cite \textit{P. R. Wills} et al., Bull. Math. Biol. 60, No. 6, 1073--1098 (1998; Zbl 0942.92015) OpenURL
Jay, L. O.; Sandu, A.; Potra, F. A.; Carmichael, G. R. Improved quasi-steady-state-approximation methods for atmospheric chemistry integration. (English) Zbl 0869.65045 SIAM J. Sci. Comput. 18, No. 1, 182-202 (1997). Reviewer: Yu.V.Rogovchenko (Firenze) MSC: 65L05 86A10 34A34 34E13 92E20 80A32 PDF BibTeX XML Cite \textit{L. O. Jay} et al., SIAM J. Sci. Comput. 18, No. 1, 182--202 (1997; Zbl 0869.65045) Full Text: DOI OpenURL
Deuflhard, P.; Heroth, J. Dynamic dimension reduction in ODE models. (English) Zbl 0865.65053 Keil, Frerich (ed.) et al., Scientific computing in chemical engineering. Lectures given at a workshop held in Harburg, Germany. Berlin: Springer-Verlag. 29-43 (1996). Reviewer: I.Coroian (Baia Mare) MSC: 65L05 34A34 34A09 92E20 80A30 PDF BibTeX XML Cite \textit{P. Deuflhard} and \textit{J. Heroth}, in: Scientific computing in chemical engineering. Lectures given at a workshop held in Harburg, Germany. Berlin: Springer-Verlag. 29--43 (1996; Zbl 0865.65053) OpenURL
Jay, L. O.; Sandu, A.; Potra, F. A.; Carmichael, G. R. Efficient numerical integration for atmospheric chemistry. (English) Zbl 0925.65126 Z. Angew. Math. Mech. 76, Suppl. 4, 465-468 (1996). MSC: 65L05 34A34 34E13 92E20 86A10 80A50 PDF BibTeX XML Cite \textit{L. O. Jay} et al., Z. Angew. Math. Mech. 76, 465--468 (1996; Zbl 0925.65126) Full Text: DOI OpenURL
Verwer, J. G.; Simpson, D. Explicit methods for stiff ODEs from atmospheric chemistry. (English) Zbl 0839.65078 Appl. Numer. Math. 18, No. 1-3, 413-430 (1995). Reviewer: I.Coroian (Baia Mare) MSC: 65L05 65L20 92E20 34A34 65L06 34E13 PDF BibTeX XML Cite \textit{J. G. Verwer} and \textit{D. Simpson}, Appl. Numer. Math. 18, No. 1--3, 413--430 (1995; Zbl 0839.65078) Full Text: DOI Link OpenURL
Schlosser, Paul M. On the relationship between Michaelis-Menton kinetics and mass action kinetics for the case of predators coexisting with a single prey. (English) Zbl 0798.92017 Nonlinear World 1, No. 2, 213-227 (1994). MSC: 92C45 92D25 41A20 41A28 41A63 37G15 PDF BibTeX XML Cite \textit{P. M. Schlosser}, Nonlinear World 1, No. 2, 213--227 (1994; Zbl 0798.92017) OpenURL
Schuster, R.; Holzhütter, H.-G. Rapid-equilibrium approximation applied to mathematical models of tracer dynamics in biochemical reaction systems. (English) Zbl 0793.92007 Math. Comput. Modelling 19, No. 6-8, 241-253 (1994). MSC: 92C45 PDF BibTeX XML Cite \textit{R. Schuster} and \textit{H. G. Holzhütter}, Math. Comput. Modelling 19, No. 6--8, 241--253 (1994; Zbl 0793.92007) Full Text: DOI OpenURL
Segel, Lee; Goldbeter, Albert Scaling in biochemical kinetics: Dissection of a relaxation oscillator. (English) Zbl 0787.92017 J. Math. Biol. 32, No. 2, 147-160 (1994). MSC: 92C45 34A99 PDF BibTeX XML Cite \textit{L. Segel} and \textit{A. Goldbeter}, J. Math. Biol. 32, No. 2, 147--160 (1994; Zbl 0787.92017) Full Text: DOI OpenURL
Rogerson, A.; Meiburg, E. Shear stabilization of miscible displacement processes in porous media. (English) Zbl 0795.76083 Phys. Fluids, A 5, No. 6, 1344-1355 (1993). Reviewer: I.Aganović (Zagreb) MSC: 76S05 76T99 PDF BibTeX XML Cite \textit{A. Rogerson} and \textit{E. Meiburg}, Phys. Fluids, A 5, No. 6, 1344--1355 (1993; Zbl 0795.76083) Full Text: DOI Link OpenURL
Baake, Ellen; Schlöder, Johannes P. Modelling the fast fluorescence rise of photosynthesis. (English) Zbl 0757.92006 Bull. Math. Biol. 54, No. 6, 999-1021 (1992). Reviewer: M.Baake (Tübingen) MSC: 92C05 92C45 34A55 PDF BibTeX XML Cite \textit{E. Baake} and \textit{J. P. Schlöder}, Bull. Math. Biol. 54, No. 6, 999--1021 (1992; Zbl 0757.92006) Full Text: DOI OpenURL
Bohl, Erich Activator actions initiating the cascade of vision. (English) Zbl 0746.92011 Numerical treatment of differential equations, Sel. Pap. 5th Int. Semin., NUMDIFF-5, Halle/Ger. 1989, Teubner-Texte Math. 121, 293-304 (1991). Reviewer: M.Baake (Tübingen) MSC: 92C45 92C40 PDF BibTeX XML Cite \textit{E. Bohl}, in: The \(\theta\)-methods in the numerical solution of delay differential equations. . 293--304 (1991; Zbl 0746.92011) OpenURL
Pflug, G. Ch. On-line optimization of simulated Markovian processes. (English) Zbl 0726.90088 Math. Oper. Res. 15, No. 3, 381-395 (1990). Reviewer: G.Hübner (Hamburg) MSC: 90C40 62L20 60K20 90C15 62M05 PDF BibTeX XML Cite \textit{G. Ch. Pflug}, Math. Oper. Res. 15, No. 3, 381--395 (1990; Zbl 0726.90088) Full Text: DOI OpenURL
Goddard, J. D. Consequences of the partial-equilibrium approximation for chemical reaction and transport. (English) Zbl 0711.76088 Proc. R. Soc. Lond., Ser. A 431, No. 1882, 271-284 (1990). MSC: 76R50 76V05 76M25 PDF BibTeX XML Cite \textit{J. D. Goddard}, Proc. R. Soc. Lond., Ser. A 431, No. 1882, 271--284 (1990; Zbl 0711.76088) Full Text: DOI OpenURL
Segel, Lee A.; Slemrod, Marshall The quasi-steady-state assumption: A case study in perturbation. (English) Zbl 0679.34066 SIAM Rev. 31, No. 3, 446-477 (1989). MSC: 34E15 92Cxx 34D15 PDF BibTeX XML Cite \textit{L. A. Segel} and \textit{M. Slemrod}, SIAM Rev. 31, No. 3, 446--477 (1989; Zbl 0679.34066) Full Text: DOI Link OpenURL
Frenzen, C. L.; Maini, P. K. Enzyme kinetics for a two-step enzymic reaction with comparable initial enzyme-substrate ratios. (English) Zbl 0714.92006 J. Math. Biol. 26, No. 6, 689-703 (1988). MSC: 92C45 80A30 65L99 PDF BibTeX XML Cite \textit{C. L. Frenzen} and \textit{P. K. Maini}, J. Math. Biol. 26, No. 6, 689--703 (1988; Zbl 0714.92006) Full Text: DOI OpenURL
Cannon, John R.; Knightly, George H. Some remarks on a quasi-steady-state approximation of the Navier-Stokes equation. (English) Zbl 0641.76014 J. Aust. Math. Soc., Ser. B 29, No. 4, 440-447 (1988). MSC: 76D05 35Q30 PDF BibTeX XML Cite \textit{J. R. Cannon} and \textit{G. H. Knightly}, J. Aust. Math. Soc., Ser. B 29, No. 4, 440--447 (1988; Zbl 0641.76014) Full Text: DOI OpenURL
Nedoma, Jiří On the Signorini problem with friction in linear thermoelasticity: The quasi-coupled 2D-case. (English) Zbl 0631.73098 Apl. Mat. 32, 186-199 (1987). Reviewer: H.Bufler MSC: 74A55 74M15 74S30 74F05 74L05 49J40 PDF BibTeX XML Cite \textit{J. Nedoma}, Apl. Mat. 32, 186--199 (1987; Zbl 0631.73098) Full Text: EuDML OpenURL
Tan, C. T.; Homsy, G. M. Stability of miscible displacements in porous media: Radial source flow. (English) Zbl 0623.76035 Phys. Fluids 30, 1239-1245 (1987). MSC: 76E15 76S05 76T99 76M99 PDF BibTeX XML Cite \textit{C. T. Tan} and \textit{G. M. Homsy}, Phys. Fluids 30, 1239--1245 (1987; Zbl 0623.76035) Full Text: DOI OpenURL
Ostrovskij, G. M.; Mikhajlova, E. M.; Berezhinskij, T. A. Optimization of large-scale complex systems. (English) Zbl 0614.93007 Int. J. Syst. Sci. 17, 1121-1132 (1986). Reviewer: L.Bakule MSC: 93A15 49M15 90C30 49M37 65K05 65K10 93B40 93C10 93C55 PDF BibTeX XML Cite \textit{G. M. Ostrovskij} et al., Int. J. Syst. Sci. 17, 1121--1132 (1986; Zbl 0614.93007) Full Text: DOI OpenURL
Officier, M. J.; Vreugdenhil, C. B.; Wind, H. G. Applications in hydraulics of numerical solutions of the Navier-Stokes equations. (English) Zbl 0614.76063 Computational techniques for fluid flow, Recent Adv. Numer. Methods Fluids 5, 115-147 (1986). MSC: 76F99 76D05 86A05 76M99 PDF BibTeX XML OpenURL
Tan, C. T.; Homsy, G. M. Stability of miscible displacements in porous media: rectilinear flow. (English) Zbl 0608.76087 Phys. Fluids 29, 3549-3556 (1986). MSC: 76S05 76E99 76T99 76M99 PDF BibTeX XML Cite \textit{C. T. Tan} and \textit{G. M. Homsy}, Phys. Fluids 29, 3549--3556 (1986; Zbl 0608.76087) Full Text: DOI OpenURL
Zozulyak, Yu. D. Optimization of yield conditions to steady-state regime of rotational shell oscillations. (Russian) Zbl 0568.73098 Mat. Metody Fiz.-Mekh. Polya 21, 93-96 (1985). Reviewer: O.Dumbrajs MSC: 74P99 74H45 74K15 74K25 PDF BibTeX XML Cite \textit{Yu. D. Zozulyak}, Mat. Metody Fiz.-Mekh. Polya 21, 93--96 (1985; Zbl 0568.73098) OpenURL
Berezovskij, A. A.; Aleksanyan, V. D. Temperature field of abrasive grain of a grinding wheel. (Russian) Zbl 0568.73118 Approximate methods in the analysis of nonlinear oscillations, Collect. sci. Works, Kiev 1984, 177-186 (1984). Reviewer: I.Zino MSC: 74A15 35K55 80A20 35A35 PDF BibTeX XML OpenURL
McClelland, Matthew A.; Finlayson, Bruce A. Squeezing flow of elastic liquids. (English) Zbl 0556.76006 J. Non-Newtonian Fluid Mech. 13, 181-201 (1983). Reviewer: V.M.Soundalgekar MSC: 76A05 76A10 76M99 PDF BibTeX XML Cite \textit{M. A. McClelland} and \textit{B. A. Finlayson}, J. Non-Newton. Fluid Mech. 13, 181--201 (1983; Zbl 0556.76006) Full Text: DOI OpenURL
Kodama, Akio; Oka, Mutsuo On integral curves obtained from differential equations in the Michaelis- Menten mechanism. (English) Zbl 0555.92010 Math. Jap. 28, 737-750 (1983). Reviewer: J.Tóth MSC: 92Cxx 80A30 34C05 PDF BibTeX XML Cite \textit{A. Kodama} and \textit{M. Oka}, Math. Japon. 28, 737--750 (1983; Zbl 0555.92010) OpenURL
Schauer, M.; Heinrich, R. Quasi-steady-state approximation in the mathematical modeling of biochemical reaction networks. (English) Zbl 0517.92015 Math. Biosci. 65, 155-170 (1983). MSC: 92Cxx 92Exx 34E10 80A30 PDF BibTeX XML Cite \textit{M. Schauer} and \textit{R. Heinrich}, Math. Biosci. 65, 155--170 (1983; Zbl 0517.92015) Full Text: DOI OpenURL
Gill, A. E. Homogeneous intrusions in a rotating stratified fluid. (English) Zbl 0492.76110 J. Fluid Mech. 103, 275-295 (1981). MSC: 76U05 76V05 86A05 PDF BibTeX XML Cite \textit{A. E. Gill}, J. Fluid Mech. 103, 275--295 (1981; Zbl 0492.76110) Full Text: DOI OpenURL