Andreucci, D.; Bersani, A. M.; Bersani, E.; Trujillo, F. J. León; Marconi, S. A 3D mathematical model of coupled stem cell-nutrient dynamics in myocardial regeneration therapy. (English) Zbl 1483.92075 J. Theor. Biol. 537, Article ID 111023, 14 p. (2022). MSC: 92C50 35K57 PDFBibTeX XMLCite \textit{D. Andreucci} et al., J. Theor. Biol. 537, Article ID 111023, 14 p. (2022; Zbl 1483.92075) Full Text: DOI
Bersani, Alberto Maria; Borri, Alessandro; Milanesi, Alessandro; Tomassetti, Giovanna; Vellucci, Pierluigi Singular perturbation techniques and asymptotic expansions for some complex enzyme reactions. (English) Zbl 1478.92072 Lacarbonara, Walter (ed.) et al., Nonlinear dynamics of structures, systems and devices. Proceedings of the first international nonlinear dynamics conference, NODYCON 2019, Rome, Italy, February 17–20, 2019. Volume I. Cham: Springer. 43-53 (2020). MSC: 92C45 34E15 PDFBibTeX XMLCite \textit{A. M. Bersani} et al., in: Nonlinear dynamics of structures, systems and devices. Proceedings of the first international nonlinear dynamics conference, NODYCON 2019, Rome, Italy, February 17--20, 2019. Volume I. Cham: Springer. 43--53 (2020; Zbl 1478.92072) Full Text: DOI
Bersani, Alberto Maria; Borri, Alessandro; Carravetta, Francesco; Mavelli, Gabriella; Palumbo, Pasquale On a stochastic approach to model the double phosphorylation/dephosphorylation cycle. (English) Zbl 1473.92017 Math. Mech. Complex Syst. 8, No. 4, 261-285 (2020). MSC: 92C45 34F05 60H35 92C42 PDFBibTeX XMLCite \textit{A. M. Bersani} et al., Math. Mech. Complex Syst. 8, No. 4, 261--285 (2020; Zbl 1473.92017) Full Text: DOI
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 PDFBibTeX XMLCite \textit{A. M. Bersani} et al., SIAM J. Appl. Math. 80, No. 3, 1123--1152 (2020; Zbl 1444.34063) Full Text: DOI
Bersani, A. M.; Borri, A.; Milanesi, A.; Tomassetti, G.; Vellucci, P. A study case for the analysis of asymptotic expansions beyond the tQSSA for inhibitory mechanisms in enzyme kinetics. (English) Zbl 1422.34170 Commun. Appl. Ind. Math. 10, No. 1, 162-181 (2019). MSC: 34D15 34D20 34E10 92C45 PDFBibTeX XMLCite \textit{A. M. Bersani} et al., Commun. Appl. Ind. Math. 10, No. 1, 162--181 (2019; Zbl 1422.34170) Full Text: DOI
Coluzzi, Barbara; Bersani, Alberto M.; Bersani, Enrico An alternative approach to Michaelis-Menten kinetics that is based on the renormalization group. (English) Zbl 1393.92017 Math. Biosci. 299, 28-50 (2018). MSC: 92C45 34E15 65L10 PDFBibTeX XMLCite \textit{B. Coluzzi} et al., Math. Biosci. 299, 28--50 (2018; Zbl 1393.92017) Full Text: DOI
Bersani, A. M.; Borri, A.; Milanesi, A.; Vellucci, Pierluigi Tihonov theory and center manifolds for inhibitory mechanisms in enzyme kinetics. (English) Zbl 1393.34049 Commun. Appl. Ind. Math. 8, No. 1, 81-102 (2017). MSC: 34C60 34C45 34E15 92C45 PDFBibTeX XMLCite \textit{A. M. Bersani} et al., Commun. Appl. Ind. Math. 8, No. 1, 81--102 (2017; Zbl 1393.34049) Full Text: DOI
Bersani, Alberto M.; Bersani, Enrico; Dell’Acqua, Guido; Pedersen, Morten G. New trends and perspectives in nonlinear intracellular dynamics: one century from Michaelis-Menten paper. (English) Zbl 1341.92020 Contin. Mech. Thermodyn. 27, No. 4-5, 659-684 (2015). MSC: 92C40 92C45 92-03 01A60 PDFBibTeX XMLCite \textit{A. M. Bersani} et al., Contin. Mech. Thermodyn. 27, No. 4--5, 659--684 (2015; Zbl 1341.92020) Full Text: DOI
Dell’Acqua, Guido; Bersani, Alberto Maria On the appropriate use of asymptotic expansions in enzyme kinetics. (English) Zbl 1327.34104 J. Math. Chem. 52, No. 10, 2475-2481 (2014). MSC: 34E05 92C45 PDFBibTeX XMLCite \textit{G. Dell'Acqua} and \textit{A. M. Bersani}, J. Math. Chem. 52, No. 10, 2475--2481 (2014; Zbl 1327.34104) Full Text: DOI
Dell’Acqua, Guido; Bersani, Alberto Maria A perturbation solution of Michaelis-Menten kinetics in a “total” framework. (English) Zbl 1401.92089 J. Math. Chem. 50, No. 5, 1136-1148 (2012). MSC: 92C45 PDFBibTeX XMLCite \textit{G. Dell'Acqua} and \textit{A. M. Bersani}, J. Math. Chem. 50, No. 5, 1136--1148 (2012; Zbl 1401.92089) Full Text: DOI
Bersani, Alberto Maria; Dell’Acqua, Guido Is there anything left to say on enzyme kinetic constants and quasi-steady state approximation? (English) Zbl 1366.92055 J. Math. Chem. 50, No. 2, 335-344 (2012). MSC: 92C45 34C60 PDFBibTeX XMLCite \textit{A. M. Bersani} and \textit{G. Dell'Acqua}, J. Math. Chem. 50, No. 2, 335--344 (2012; Zbl 1366.92055) Full Text: DOI
Bersani, Alberto Maria; Dell’Acqua, Guido Asymptotic expansions in enzyme reactions with high enzyme concentrations. (English) Zbl 1227.92030 Math. Methods Appl. Sci. 34, No. 16, 1954-1960 (2011). MSC: 92C45 34E05 37N25 PDFBibTeX XMLCite \textit{A. M. Bersani} and \textit{G. Dell'Acqua}, Math. Methods Appl. Sci. 34, No. 16, 1954--1960 (2011; Zbl 1227.92030) Full Text: DOI
Bersani, A. M.; Bersani, E.; Mastroeni, L. Modeling the action of drugs on cellular enzymes by means of optimal control techniques. (English) Zbl 1217.34077 J. Math. Chem. 49, No. 3, 776-795 (2011). MSC: 34C60 92C50 49L20 92C42 PDFBibTeX XMLCite \textit{A. M. Bersani} et al., J. Math. Chem. 49, No. 3, 776--795 (2011; Zbl 1217.34077) Full Text: DOI
Pedersen, Morten Gram; Bersani, Alberto Maria Introducing total substrates simplifies theoretical analysis at non-negligible enzyme concentrations: pseudo first-order kinetics and the loss of zero-order ultrasensitivity. (English) Zbl 1311.92095 J. Math. Biol. 60, No. 2, 267-283 (2010). MSC: 92C45 92C40 PDFBibTeX XMLCite \textit{M. G. Pedersen} and \textit{A. M. Bersani}, J. Math. Biol. 60, No. 2, 267--283 (2010; Zbl 1311.92095) Full Text: DOI
Pedersen, Morten Gram; Bersani, Alberto Maria; Bersani, Enrico Quasi steady-state approximations in complex intracellular signal transduction networks - a word of caution. (English) Zbl 1217.92052 J. Math. Chem. 43, No. 4, 1318-1344 (2008). MSC: 92C45 92C42 PDFBibTeX XMLCite \textit{M. G. Pedersen} et al., J. Math. Chem. 43, No. 4, 1318--1344 (2008; Zbl 1217.92052) Full Text: DOI
Pedersen, Morten Gram; Bersani, Alberto M.; Bersani, Enrico; Cortese, Giuliana The total quasi-steady-state approximation for complex enzyme reactions. (English) Zbl 1157.92019 Math. Comput. Simul. 79, No. 4, 1010-1019 (2008). MSC: 92C40 92C45 37N25 34A34 PDFBibTeX XMLCite \textit{M. G. Pedersen} et al., Math. Comput. Simul. 79, No. 4, 1010--1019 (2008; Zbl 1157.92019) Full Text: DOI
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 PDFBibTeX XMLCite \textit{A. M. Bersani} et al., Comput. Math. Appl. 55, No. 5, 879--888 (2008; Zbl 1137.92014) 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