Campos, Felipe A.; Bruno, Simone; Fu, Yi; Del Vecchio, Domitilla; Williams, Ruth J. Comparison theorems for stochastic chemical reaction networks. (English) Zbl 1512.92025 Bull. Math. Biol. 85, No. 5, Paper No. 39, 41 p. (2023). MSC: 92C40 60J20 92C42 PDFBibTeX XMLCite \textit{F. A. Campos} et al., Bull. Math. Biol. 85, No. 5, Paper No. 39, 41 p. (2023; Zbl 1512.92025) Full Text: DOI arXiv
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 1502.34057 J. Math. Biol. 85, No. 1, Paper No. 3, 27 p. (2022). MSC: 34C60 92C45 34E15 34F05 34C20 34C45 PDFBibTeX XMLCite \textit{J. Eilertsen} et al., J. Math. Biol. 85, No. 1, Paper No. 3, 27 p. (2022; Zbl 1502.34057) Full Text: DOI arXiv
Hoessly, Linard; Wiuf, Carsten Fast reactions with non-interacting species in stochastic reaction networks. (English) Zbl 1489.92058 Math. Biosci. Eng. 19, No. 3, 2720-2749 (2022). MSC: 92C45 92C42 60J28 PDFBibTeX XMLCite \textit{L. Hoessly} and \textit{C. Wiuf}, Math. Biosci. Eng. 19, No. 3, 2720--2749 (2022; Zbl 1489.92058) 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
Bashkirtseva, Irina; Zaitseva, Svetlana Variability, transients and excitement in a stochastic model of enzyme kinetics. (English) Zbl 1498.92089 Chaos Solitons Fractals 150, Article ID 111184, 8 p. (2021). MSC: 92C45 34F05 PDFBibTeX XMLCite \textit{I. Bashkirtseva} and \textit{S. Zaitseva}, Chaos Solitons Fractals 150, Article ID 111184, 8 p. (2021; Zbl 1498.92089) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J. Eilertsen} et al., SIAM J. Appl. Dyn. Syst. 20, No. 4, 2450--2481 (2021; Zbl 1481.92051) Full Text: DOI arXiv
Enciso, German; Kim, Jinsu Accuracy of multiscale reduction for stochastic reaction systems. (English) Zbl 1480.60217 Multiscale Model. Simul. 19, No. 4, 1633-1658 (2021). MSC: 60J27 60J28 60F99 92C42 92C37 PDFBibTeX XMLCite \textit{G. Enciso} and \textit{J. Kim}, Multiscale Model. Simul. 19, No. 4, 1633--1658 (2021; Zbl 1480.60217) Full Text: DOI arXiv
Anderson, David F.; Cappelletti, Daniele Discrepancies between extinction events and boundary equilibria in reaction networks. (English) Zbl 1423.60118 J. Math. Biol. 79, No. 4, 1253-1277 (2019). MSC: 60J27 60J28 60G10 37N25 92C42 37C10 PDFBibTeX XMLCite \textit{D. F. Anderson} and \textit{D. Cappelletti}, J. Math. Biol. 79, No. 4, 1253--1277 (2019; Zbl 1423.60118) Full Text: DOI arXiv
Kang, Hye-Won; Erban, Radek Multiscale stochastic reaction-diffusion algorithms combining Markov chain models with stochastic partial differential equations. (English) Zbl 1422.92055 Bull. Math. Biol. 81, No. 8, 3185-3213 (2019). MSC: 92C42 92C45 60J28 35R60 65C40 92-08 PDFBibTeX XMLCite \textit{H.-W. Kang} and \textit{R. Erban}, Bull. Math. Biol. 81, No. 8, 3185--3213 (2019; Zbl 1422.92055) Full Text: DOI
Chen, Minghan; Wang, Shuo; Cao, Yang Accuracy analysis of hybrid stochastic simulation algorithm on linear chain reaction systems. (English) Zbl 1422.92043 Bull. Math. Biol. 81, No. 8, 3024-3052 (2019). MSC: 92C40 92C37 60H30 PDFBibTeX XMLCite \textit{M. Chen} et al., Bull. Math. Biol. 81, No. 8, 3024--3052 (2019; Zbl 1422.92043) Full Text: DOI