Morales, Juan C.; Arango, Carlos A. Geometric-algebraic approach to aqueous solutions of diprotic acids and its buffer mixtures. (English) Zbl 07796555 J. Math. Chem. 62, No. 1, 275-299 (2024). MSC: 76T06 76V05 92E20 PDFBibTeX XMLCite \textit{J. C. Morales} and \textit{C. A. Arango}, J. Math. Chem. 62, No. 1, 275--299 (2024; Zbl 07796555) Full Text: DOI arXiv OA License
Rentzeperis, Frederika; Miller, Naomi; Ibrahim-Hashim, Arig; Gillies, Robert J.; Gatenby, Robert A.; Wallace, Dorothy A simulation of parental and glycolytic tumor phenotype competition predicts observed responses to pH changes and increased glycolysis after anti-VEGF therapy. (English) Zbl 1500.92043 Math. Biosci. 352, Article ID 108909, 10 p. (2022). MSC: 92C50 PDFBibTeX XMLCite \textit{F. Rentzeperis} et al., Math. Biosci. 352, Article ID 108909, 10 p. (2022; Zbl 1500.92043) Full Text: DOI
Dave, Devanshi D.; Jha, Brajesh Kumar On finite element estimation of calcium advection diffusion in a multipolar neuron. (English) Zbl 1487.76118 J. Eng. Math. 128, Paper No. 11, 15 p. (2021). MSC: 76Z05 76R99 76M10 92C35 92C20 PDFBibTeX XMLCite \textit{D. D. Dave} and \textit{B. K. Jha}, J. Eng. Math. 128, Paper No. 11, 15 p. (2021; Zbl 1487.76118) Full Text: DOI
Lefraich, H. A 3D fractional step computational modeling of nerve impulse transmission through an axonal membrane: incorporating calcium buffer and extrusion. (English) Zbl 1471.92071 Mondaini, Rubem P. (ed.), Trends in biomathematics: chaos and control in epidemics, ecosystems, and cells. Selected works from the 20th BIOMAT consortium lectures, Rio de Janeiro, Brazil, November 1–6, 2020. Cham: Springer. 315-332 (2021). MSC: 92C20 35Q92 PDFBibTeX XMLCite \textit{H. Lefraich}, in: Trends in biomathematics: chaos and control in epidemics, ecosystems, and cells. Selected works from the 20th BIOMAT consortium lectures, Rio de Janeiro, Brazil, November 1--6, 2020. Cham: Springer. 315--332 (2021; Zbl 1471.92071) Full Text: DOI
Hiremath, Sandesh Athni; Surulescu, Christina; Jamali, Somayeh; Ames, Samantha; Deitmer, Joachim W.; Becker, Holger M. Modeling of pH regulation in tumor cells: direct interaction between proton-coupled lactate transporters and cancer-associated carbonic anhydrase. (English) Zbl 1497.92077 Math. Biosci. Eng. 16, No. 1, 320-337 (2019). MSC: 92C37 92C32 60H30 PDFBibTeX XMLCite \textit{S. A. Hiremath} et al., Math. Biosci. Eng. 16, No. 1, 320--337 (2019; Zbl 1497.92077) Full Text: DOI
Hancock, Edward J.; Ang, Jordan Frequency domain properties and fundamental limits of buffer-feedback regulation in biochemical systems. (English) Zbl 1415.93174 Automatica 103, 330-336 (2019). MSC: 93C80 93B52 92C40 PDFBibTeX XMLCite \textit{E. J. Hancock} and \textit{J. Ang}, Automatica 103, 330--336 (2019; Zbl 1415.93174) Full Text: DOI arXiv
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh. Quasi-stable structures in circular gene networks. (English. Russian original) Zbl 1398.34066 Comput. Math. Math. Phys. 58, No. 5, 659-679 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 5, 704-714 (2018). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C60 34E15 34C05 34D20 34K13 92B20 92D10 PDFBibTeX XMLCite \textit{S. D. Glyzin} et al., Comput. Math. Math. Phys. 58, No. 5, 659--679 (2018; Zbl 1398.34066); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 5, 704--714 (2018) Full Text: DOI
Nuñez-Piña, Federico; Medina-Marin, Joselito; Seck-Tuoh-Mora, Juan Carlos; Hernandez-Romero, Norberto; Hernandez-Gress, Eva Selene Modeling of throughput in production lines using response surface methodology and artificial neural networks. (English) Zbl 1390.90301 Complexity 2018, Article ID 1254794, 10 p. (2018). MSC: 90B30 90C27 68Q25 92B20 PDFBibTeX XMLCite \textit{F. Nuñez-Piña} et al., Complexity 2018, Article ID 1254794, 10 p. (2018; Zbl 1390.90301) Full Text: DOI
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh. Two-frequency self-oscillations in a FitzHugh-Nagumo neural network. (English. Russian original) Zbl 1397.34080 Comput. Math. Math. Phys. 57, No. 1, 106-121 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 1, 94-110 (2017). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C60 92C20 92B20 34C45 34C46 34D20 34E15 PDFBibTeX XMLCite \textit{S. D. Glyzin} et al., Comput. Math. Math. Phys. 57, No. 1, 106--121 (2017; Zbl 1397.34080); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 1, 94--110 (2017) Full Text: DOI
Jha, Brajesh Kumar; Adlakha, Neeru; Mehta, M. N. Two-dimensional finite element model to study calcium distribution in astrocytes in presence of excess buffer. (English) Zbl 1297.76100 Int. J. Biomath. 7, No. 3, Article ID 1450031, 11 p. (2014). MSC: 76M10 76Z05 92C35 65L60 62P10 PDFBibTeX XMLCite \textit{B. K. Jha} et al., Int. J. Biomath. 7, No. 3, Article ID 1450031, 11 p. (2014; Zbl 1297.76100) Full Text: DOI
Tsai, Je-Chiang Do calcium buffers always slow down the propagation of calcium waves? (English) Zbl 1293.35348 J. Math. Biol. 67, No. 6-7, 1587-1632 (2013). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35Q92 35K57 92C20 35C07 34B40 34C37 PDFBibTeX XMLCite \textit{J.-C. Tsai}, J. Math. Biol. 67, No. 6--7, 1587--1632 (2013; Zbl 1293.35348) Full Text: DOI
Glyzin, S. D.; Kolesov, A. Yu; Rozov, N. Kh Relaxation self-oscillations in Hopfield networks with delay. (English. Russian original) Zbl 1271.34074 Izv. Math. 77, No. 2, 271-312 (2013); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 77, No. 2, 53-96 (2013). Reviewer: Robert Vrabel (Trnava) MSC: 34K26 34K13 92B20 34K20 PDFBibTeX XMLCite \textit{S. D. Glyzin} et al., Izv. Math. 77, No. 2, 271--312 (2013; Zbl 1271.34074); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 77, No. 2, 53--96 (2013) Full Text: DOI
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh. Discrete autowaves in neural systems. (Russian, English) Zbl 1267.92024 Zh. Vychisl. Mat. Mat. Fiz. 52, No. 5, 840-858 (2012); translation in Comput. Math. Math. Phys. 52, No. 5, 702-719 (2012). MSC: 92C20 34K26 34K60 92B25 PDFBibTeX XMLCite \textit{S. D. Glyzin} et al., Zh. Vychisl. Mat. Mat. Fiz. 52, No. 5, 840--858 (2012; Zbl 1267.92024); translation in Comput. Math. Math. Phys. 52, No. 5, 702--719 (2012) Full Text: DOI
Kotwani, Mansha; Adlakha, Neeru; Mehta, M. N. Numerical model to study calcium diffusion in fibroblasts cell for one dimensional unsteady state case. (English) Zbl 1262.76066 Appl. Math. Sci., Ruse 6, No. 101-104, 5063-5072 (2012). MSC: 76M20 76Z05 92C37 PDFBibTeX XMLCite \textit{M. Kotwani} et al., Appl. Math. Sci., Ruse 6, No. 101--104, 5063--5072 (2012; Zbl 1262.76066) Full Text: Link
Rüdiger, Sten; Schimansky-Geier, L. Dynamics of excitable elements with time-delayed coupling. (English) Zbl 1402.92113 J. Theor. Biol. 259, No. 1, 96-100 (2009). MSC: 92C20 92C45 35Q92 PDFBibTeX XMLCite \textit{S. Rüdiger} and \textit{L. Schimansky-Geier}, J. Theor. Biol. 259, No. 1, 96--100 (2009; Zbl 1402.92113) Full Text: DOI HAL
von Bloh, Werner Sequential and parallel implementation of networks. (English) Zbl 1400.92031 beim Graben, Peter (ed.) et al., Lectures in supercomputational neuroscience. Dynamics in complex brain networks. Papers based on the presentations at the 5th Helmholtz summer school on supercomputational physics “Complex networks in brain dynamics”, September 2005, Potsdam, Germany. Berlin: Springer (ISBN 978-3-540-73158-0/hbk). Understanding Complex Systems, 279-315 (2008). MSC: 92B20 68Q10 PDFBibTeX XMLCite \textit{W. von Bloh}, in: Lectures in supercomputational neuroscience. Dynamics in complex brain networks. Papers based on the presentations at the 5th Helmholtz summer school on supercomputational physics ``Complex networks in brain dynamics'', September 2005, Potsdam, Germany. Berlin: Springer. 279--315 (2008; Zbl 1400.92031) Full Text: DOI
Tsai, Je-Chiang; Sneyd, James Traveling waves in the discrete fast buffered bistable system. (English) Zbl 1284.34018 J. Math. Biol. 55, No. 5-6, 605-652 (2007). MSC: 34A33 34C60 34B40 92C37 PDFBibTeX XMLCite \textit{J.-C. Tsai} and \textit{J. Sneyd}, J. Math. Biol. 55, No. 5--6, 605--652 (2007; Zbl 1284.34018) Full Text: DOI
Le Comber, Steven C.; Nicholls, Barry; Rossmo, D. Kim; Racey, Paul A. Geographic profiling and animal foraging. (English) Zbl 1447.92526 J. Theor. Biol. 240, No. 2, 233-240 (2006). MSC: 92D40 62P10 PDFBibTeX XMLCite \textit{S. C. Le Comber} et al., J. Theor. Biol. 240, No. 2, 233--240 (2006; Zbl 1447.92526) Full Text: DOI
Luo, C.; Clark, J. W.; Heming, T. A.; Bidani, A. A macrophage cell model for pH and volume regulation. (English) Zbl 1445.92094 J. Theor. Biol. 238, No. 2, 449-463 (2006). MSC: 92C37 92C45 PDFBibTeX XMLCite \textit{C. Luo} et al., J. Theor. Biol. 238, No. 2, 449--463 (2006; Zbl 1445.92094) Full Text: DOI
Guo, Jong-Shenq; Tsai, Je-Chiang The asymptotic behavior of solutions of the buffered bistable system. (English) Zbl 1100.92016 J. Math. Biol. 53, No. 1, 179-213 (2006). MSC: 92C37 92C40 35Q92 92C45 35B35 PDFBibTeX XMLCite \textit{J.-S. Guo} and \textit{J.-C. Tsai}, J. Math. Biol. 53, No. 1, 179--213 (2006; Zbl 1100.92016) Full Text: DOI
Smith, Gregory D. Modeling intracellular calcium: diffusion, dynamics, and domains. 2nd ed. (English) Zbl 1093.92037 Reeke, G. N. (ed.) et al., Modeling in the neurosciences. From biological systems to neuromimetic robotics. Boca Raton, FL: Taylor & Francis (ISBN 0-415-32868-3/hbk). 339-374 (2005). MSC: 92C37 35Q92 92C45 35K57 PDFBibTeX XMLCite \textit{G. D. Smith}, in: Modeling in the neurosciences. From biological systems to neuromimetic robotics. Boca Raton, FL: Taylor \& Francis. 339--374 (2005; Zbl 1093.92037)
Bykov, V. I.; Ivanova, A. N. The instability conditions in kinetic region for complex catalytic conversion schemes with buffer stages. (Russian) Zbl 1073.80504 Dokl. Akad. Nauk, Ross. Akad. Nauk 390, No. 5, 635-638 (2003). Reviewer: Andrei Zemskov (Moskva) MSC: 80A30 92E20 PDFBibTeX XMLCite \textit{V. I. Bykov} and \textit{A. N. Ivanova}, Dokl. Akad. Nauk, Ross. Akad. Nauk 390, No. 5, 635--638 (2003; Zbl 1073.80504)
Smith, Gregory D.; Dai, Longxiang; Miura, Robert M.; Sherman, Arthur Asymptotic analysis of buffered calcium diffusion near a point source. (English) Zbl 1053.92017 SIAM J. Appl. Math. 61, No. 5, 1816-1838 (2001). MSC: 92C30 35K57 92C40 PDFBibTeX XMLCite \textit{G. D. Smith} et al., SIAM J. Appl. Math. 61, No. 5, 1816--1838 (2001; Zbl 1053.92017) Full Text: DOI
Kambulov, V. F.; Kolesov, A. Yu.; Rozov, N. Kh. Theoretical and experimental analysis of the buffer phenomenon in a long line with tunnel diode. (English. Russian original) Zbl 0911.34067 Differ. Equations 33, No. 5, 641-648 (1997); translation from Differ. Uravn. 33, No. 5, 638-645 (1997). Reviewer: V.Chernyatin (Szczecin) MSC: 34K20 82D55 34K13 92F05 PDFBibTeX XMLCite \textit{V. F. Kambulov} et al., Differ. Equations 33, No. 5, 641--648 (1997; Zbl 0911.34067); translation from Differ. Uravn. 33, No. 5, 638--645 (1997)
Winslow, James L. Apparent diffusion coefficient estimation errors from using ratio of bound to unbound Ca\(^{2+}\). (English) Zbl 0861.92013 Bower, James M. (ed.), The neurobiology of computation. Proceedings of the third annual computation and neural systems conference held in Monterey, CA (USA), July 21-26, 1994. Dordrecht: Kluwer Academic Publishers. 33-38 (1995). MSC: 92C30 35K57 PDFBibTeX XMLCite \textit{J. L. Winslow}, in: The neurobiology of computation. Proceedings of the third annual computation and neural systems conference held in Monterey, CA (USA), July 21-26, 1994. Dordrecht: Kluwer Academic Publishers. 33--38 (1995; Zbl 0861.92013)
Reginato, J. C.; Tarzia, D. A. The balance integral method applied to root growth of crops. (English) Zbl 0756.92025 Int. J. Eng. Sci. 31, No. 1, 61-70 (1993). MSC: 92D40 92C99 92C15 35Q92 93D30 PDFBibTeX XMLCite \textit{J. C. Reginato} and \textit{D. A. Tarzia}, Int. J. Eng. Sci. 31, No. 1, 61--70 (1993; Zbl 0756.92025) Full Text: DOI
Weinstein, Alan M. A mathematical model of the proximal nephron. (English) Zbl 0726.92006 Math. Comput. Modelling 14, 522-528 (1990). MSC: 92C35 PDFBibTeX XMLCite \textit{A. M. Weinstein}, Math. Comput. Modelling 14, 522--528 (1990; Zbl 0726.92006) Full Text: DOI
Höhne, Karl Heinz; Bomans, Michael; Pommert, Andreas; Riemer, Martin; Tiede, Ulf; Wiebecke, Gunnar Rendering tomographic volume data: Adequacy of methods for different modalities and organs. (English) Zbl 0712.92012 3D imaging in medicine. Algorithms, systems, applications, Proc. NATO Adv. Res. Workshop, Travemünde/FRG 1990, NATO ASI Ser., Ser. F 60, 197-215 (1990). MSC: 92C55 68U07 92-08 68U05 PDFBibTeX XML
Gol’dshtejn, V. M.; Sobolev, V. A. A qualitative analysis of singularly perturbed systems. (Kachestvennyj analiz singulyarno-vozmushchennykh sistem.) (Russian) Zbl 0752.34033 Novosibirsk: Institut Matematiki SO AN SSSR, 154 p. (1988). Reviewer: M.Rodriguez Ricard (La Habana) MSC: 34E15 92E20 34-02 34C30 34C45 PDFBibTeX XMLCite \textit{V. M. Gol'dshtejn} and \textit{V. A. Sobolev}, Kachestvennyj analiz singulyarno-vozmushchennykh sistem (Russian). Novosibirsk: Institut Matematiki SO AN SSSR (1988; Zbl 0752.34033)
Biscans, B.; Hennequin, J. C.; Bertrand, J. Some aspects of continuous flow electrophoresis in microgravity. (English) Zbl 0623.76142 Acta Astronaut. 13, 705-713 (1986). MSC: 76Z10 76M99 92Cxx 76R10 PDFBibTeX XMLCite \textit{B. Biscans} et al., Acta Astronaut. 13, 705--713 (1986; Zbl 0623.76142) Full Text: DOI
Pao, C. V. Asymptotic behavior of a reaction-diffusion system in bacteriology. (English) Zbl 0583.92013 J. Math. Anal. Appl. 108, 1-14 (1985). Reviewer: D.A.Quinney MSC: 92D25 35K60 35B40 PDFBibTeX XMLCite \textit{C. V. Pao}, J. Math. Anal. Appl. 108, 1--14 (1985; Zbl 0583.92013) Full Text: DOI
McIlroy, D. K.; Mason, D. P. Electric field dissociation of charged macromolecular sites in polarized biomembranes. III. (English) Zbl 0494.92007 SIAM J. Appl. Math. 41, 580-591 (1981). MSC: 92B05 92Cxx PDFBibTeX XMLCite \textit{D. K. McIlroy} and \textit{D. P. Mason}, SIAM J. Appl. Math. 41, 580--591 (1981; Zbl 0494.92007) Full Text: DOI