Brevik, I.; Shapovalov, A. V. Effects of low concentration in aqueous solutions within the fractal approach. (English. Russian original) Zbl 07617631 Russ. Phys. J. 65, No. 2, 197-207 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 65, No. 2, 3-13 (2022). MSC: 81-XX PDF BibTeX XML Cite \textit{I. Brevik} and \textit{A. V. Shapovalov}, Russ. Phys. J. 65, No. 2, 197--207 (2022; Zbl 07617631); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 65, No. 2, 3--13 (2022) Full Text: DOI OpenURL
Akhter, Tahmina; Sivaloganathan, Sivabal The incorporation of fractal kinetics in the PK modeling of chemotherapeutic drugs with nonlinear concentration-time profiles. (English) Zbl 1430.92034 Mondaini, Rubem P. (ed.), Trends in biomathematics: mathematical modeling for health, harvesting, and population dynamics. Selected works presented at the 18th BIOMAT consortium lectures, Mohammedia, Morocco, October 29 – November 2, 2018. Cham: Springer. 231-254 (2019). MSC: 92C45 92C50 PDF BibTeX XML Cite \textit{T. Akhter} and \textit{S. Sivaloganathan}, in: Trends in biomathematics: mathematical modeling for health, harvesting, and population dynamics. Selected works presented at the 18th BIOMAT consortium lectures, Mohammedia, Morocco, October 29 -- November 2, 2018. Cham: Springer. 231--254 (2019; Zbl 1430.92034) Full Text: DOI OpenURL
Bashiri, H.; Sahjari, A. Fractal-like kinetics study of adsorption on multi-walled carbon nanotube. (English) Zbl 1428.82077 Iran. J. Math. Chem. 9, No. 1, 25-35 (2018). Reviewer: Yulianna Perepelkina (Moskva) MSC: 82D80 82C40 28A80 PDF BibTeX XML Cite \textit{H. Bashiri} and \textit{A. Sahjari}, Iran. J. Math. Chem. 9, No. 1, 25--35 (2018; Zbl 1428.82077) Full Text: DOI OpenURL
Khamzin, Airat; Nigmatullin, Raoul; Popov, Ivan Justification of the empirical laws of the anomalous dielectric relaxation in the framework of the memory function formalism. (English) Zbl 1312.78007 Fract. Calc. Appl. Anal. 17, No. 1, 247-258 (2014). MSC: 78A48 26A33 33E12 74D05 82D30 82D60 28A80 60G22 PDF BibTeX XML Cite \textit{A. Khamzin} et al., Fract. Calc. Appl. Anal. 17, No. 1, 247--258 (2014; Zbl 1312.78007) Full Text: DOI OpenURL
Pitulice, Laura; Vilaseca, Eudald; Pastor, Isabel; Madurga, Sergio; Garcés, Josep Lluís; Isvoran, Adriana; Mas, Francesc Monte Carlo simulations of enzymatic reactions in crowded media. Effect of the enzyme-obstacle relative size. (English) Zbl 1314.92075 Math. Biosci. 251, 72-82 (2014). MSC: 92C45 65C05 PDF BibTeX XML Cite \textit{L. Pitulice} et al., Math. Biosci. 251, 72--82 (2014; Zbl 1314.92075) Full Text: DOI Link OpenURL
Marsh, Rebeccah E.; Tuszyński, Jack A. Saturable fractal pharmacokinetics and its applications. (English) Zbl 1345.92068 Ledzewicz, Urszula (ed.) et al., Mathematical methods and models in biomedicine. New York, NY: Springer (ISBN 978-1-4614-4177-9/pbk; 978-1-4614-4178-6/ebook). Lecture Notes on Mathematical Modelling in the Life Sciences, 339-366 (2013). MSC: 92C45 92C40 PDF BibTeX XML Cite \textit{R. E. Marsh} and \textit{J. A. Tuszyński}, in: Mathematical methods and models in biomedicine. New York, NY: Springer. 339--366 (2013; Zbl 1345.92068) Full Text: DOI OpenURL
Khamzin, Airat A.; Nigmatullin, Raoul R.; Popov, Ivan I.; Murzaliev, Bektur A. Microscopic model of dielectric \(\alpha\)-relaxation in disordered media. (English) Zbl 1314.82040 Fract. Calc. Appl. Anal. 16, No. 1, 158-170 (2013). MSC: 82D20 78A25 28A80 PDF BibTeX XML Cite \textit{A. A. Khamzin} et al., Fract. Calc. Appl. Anal. 16, No. 1, 158--170 (2013; Zbl 1314.82040) Full Text: DOI OpenURL
You, Yuncheng Dynamics of two-compartment Gray-Scott equations. (English) Zbl 1220.37075 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 5, 1969-1986 (2011). Reviewer: Hans Crauel (Frankfurt am Main) MSC: 37L30 35B40 35B41 35K55 35K57 80A32 92C45 92E20 PDF BibTeX XML Cite \textit{Y. You}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 5, 1969--1986 (2011; Zbl 1220.37075) Full Text: DOI OpenURL
Bajzer, Željko; Huzak, Miljenko; Neff, Kevin L.; Prendergast, Franklyn G. Mathematical analysis of models for reaction kinetics in intracellular environments. (English) Zbl 1160.92018 Math. Biosci. 215, No. 1, 35-47 (2008). MSC: 92C40 92C45 92C35 37N25 PDF BibTeX XML Cite \textit{Ž. Bajzer} et al., Math. Biosci. 215, No. 1, 35--47 (2008; Zbl 1160.92018) Full Text: DOI OpenURL
Aranda, Juan S.; Salgado, Edgar; Muñoz-Diosdado, Alejandro Multifractality in intracellular enzymatic reactions. (English) Zbl 1447.92178 J. Theor. Biol. 240, No. 2, 209-217 (2006). MSC: 92C45 28A80 PDF BibTeX XML Cite \textit{J. S. Aranda} et al., J. Theor. Biol. 240, No. 2, 209--217 (2006; Zbl 1447.92178) Full Text: DOI OpenURL
Liu, Junli; Crawford, John W.; Leontiou, Konstantinos I. Collapse of single stable states via a fractal attraction basin: analysis of a representative metabolic network. (English) Zbl 1206.92008 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2060, 2327-2338 (2005). MSC: 92C45 92C42 92C40 37N25 PDF BibTeX XML Cite \textit{J. Liu} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2060, 2327--2338 (2005; Zbl 1206.92008) 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
Afanas’eva, R. V.; Maksimov, A. A.; Ermakova, T. G. On the fractal kinetics of non-equilibrium Polyacenequinone surface. (Russian) Zbl 1150.92362 Dokl. Akad. Nauk, Ross. Akad. Nauk 381, No. 4, 469-471 (2001). Reviewer: Sergei Zhuravlev (Moskva) MSC: 92E10 92C05 68P20 PDF BibTeX XML Cite \textit{R. V. Afanas'eva} et al., Dokl. Akad. Nauk, Ross. Akad. Nauk 381, No. 4, 469--471 (2001; Zbl 1150.92362) OpenURL
Vlad, M. O.; Schneider, F. W.; Ross, J. Characteristic functional approach to multiplicative fractal noise with application to environmental fluctuations in nonlinear chemical systems far from equilibrium: A temporal analog of Anderson localization. (English) Zbl 0978.60035 Physica A 294, No. 1-2, 1-22 (2001). MSC: 60G18 80A30 82C31 PDF BibTeX XML Cite \textit{M. O. Vlad} et al., Physica A 294, No. 1--2, 1--22 (2001; Zbl 0978.60035) Full Text: DOI OpenURL
Bajzer, Željko; Vuk-Pavlović, Stanimir New dimensions in Gompertzian growth. (English) Zbl 0962.92029 J. Theor. Med. 2, No. 4, 307-315 (2000). MSC: 92D25 92C50 PDF BibTeX XML Cite \textit{Ž. Bajzer} and \textit{S. Vuk-Pavlović}, J. Theor. Med. 2, No. 4, 307--315 (2000; Zbl 0962.92029) Full Text: DOI EuDML OpenURL
Lindenberg, K.; Romero, A. H.; Sancho, J. M. Nonclassical kinetics in constrained geometries: Initial distribution effects. (English) Zbl 0940.80003 Int. J. Bifurcation Chaos Appl. Sci. Eng. 8, No. 4-5, 853-868 (1998). MSC: 80A30 92E20 PDF BibTeX XML Cite \textit{K. Lindenberg} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 8, No. 4--5, 853--868 (1998; Zbl 0940.80003) Full Text: DOI arXiv OpenURL
Martinez de la Fuente, I.; Martinez, L.; Benitez, N.; Veguillas, J.; Aguirregabiria, J. M. Persistent behavior in a phase-shift sequence of periodical biochemical oscillations. (English) Zbl 0927.92017 Bull. Math. Biol. 60, No. 4, 689-702 (1998). MSC: 92C45 34C25 60K99 PDF BibTeX XML Cite \textit{I. Martinez de la Fuente} et al., Bull. Math. Biol. 60, No. 4, 689--702 (1998; Zbl 0927.92017) Full Text: DOI OpenURL
Fabrie, P.; Galusinski, C. Exponential attractors for a partially dissipative reaction system. (English) Zbl 1028.35026 Asymptotic Anal. 12, No. 4, 329-354 (1996). MSC: 35B41 35K55 35Q80 80A30 37L30 PDF BibTeX XML Cite \textit{P. Fabrie} and \textit{C. Galusinski}, Asymptotic Anal. 12, No. 4, 329--354 (1996; Zbl 1028.35026) OpenURL
Roncaglia, Roberto; Mannella, Riccardo; Grigolini, Paolo Fractal properties of ion channels and diffusion. (English) Zbl 0809.92004 Math. Biosci. 123, No. 1, 77-101 (1994). MSC: 92C30 60J70 65C20 PDF BibTeX XML Cite \textit{R. Roncaglia} et al., Math. Biosci. 123, No. 1, 77--101 (1994; Zbl 0809.92004) Full Text: DOI OpenURL
Avnir, David; Gutfraind, Ricardo; Farin, Dina Fractal analysis in heterogeneous chemistry. (English) Zbl 0881.92036 Bunde, A. (ed.) et al., Fractals in science. With a Macintosh or MS-DOS program diskette. Berlin: Springer. 228-255 (1994). MSC: 92E20 92C45 28A80 PDF BibTeX XML Cite \textit{D. Avnir} et al., in: Fractals in science. With a Macintosh or MS-DOS program diskette. Berlin: Springer. 228--255 (1994; Zbl 0881.92036) OpenURL
Mukesh, D. Modelling of Belousov-Zhabotinskii reaction on a surface. (English) Zbl 0771.92010 Chaos Solitons Fractals 3, No. 3, 285-293 (1993). MSC: 92C45 92-08 65C05 92E20 PDF BibTeX XML Cite \textit{D. Mukesh}, Chaos Solitons Fractals 3, No. 3, 285--293 (1993; Zbl 0771.92010) Full Text: DOI OpenURL
Larter, Raima; Steinmetz, Curtis G. Chaos via mixed-mode oscillations. (English) Zbl 0744.92017 Philos. Trans. R. Soc. Lond., Ser. A 337, No. 1646, 291-298 (1991). MSC: 92C45 80A30 PDF BibTeX XML Cite \textit{R. Larter} and \textit{C. G. Steinmetz}, Philos. Trans. R. Soc. Lond., Ser. A 337, No. 1646, 291--298 (1991; Zbl 0744.92017) Full Text: DOI OpenURL
Pietronero, Luciano (ed.); Tosatti, Erio (ed.); Sinai, Ya. G. (ed.); Khalatnikov, I. M. (ed.) Fractals in physics. Proceedings of the Sixth international symposium held in Trieste (Italy), July 9-12, 1985. Transl. from the English. Transl. ed. by Ya. G. Sinaj and I. M. Khalatnikov. (Fraktaly v fizike. VI mezhdunarodnyi simpozium, Triest (Italiya), 9-12 iyulya 1985 g. Tezisy soobshchenii.) (Russian) Zbl 0734.58006 Moskva: Mir. 672 p. R. 5.90 (1988). MSC: 58-06 00B05 37D45 37N99 82C44 82D60 PDF BibTeX XML Cite \textit{L. Pietronero} (ed.) et al., Fraktaly v fizike. VI mezhdunarodnyi simpozium, Triest (Italiya), 9-12 iyulya 1985 g. Tezisy soobshchenii (Russian). Transl. from the English. Transl. ed. by Ya. G. Sinaj and I. M. Khalatnikov. Moskva: Mir (1988; Zbl 0734.58006) OpenURL
Pietronero, Luciano (ed.); Tosatti, Erio (ed.) Fractals in physics. Proceedings of the sixth Trieste international symposium on fractals in physics, ICTP, Trieste, Italy, July 9-12, 1985. 2nd reprint. (English) Zbl 0652.58001 Amsterdam etc.: North-Holland. xii, 476 p. $ 55.50; Dfl. 150.00 (1988). MSC: 58-06 00B25 37B99 37D45 PDF BibTeX XML Cite \textit{L. Pietronero} (ed.) and \textit{E. Tosatti} (ed.), Fractals in physics. Proceedings of the sixth Trieste international symposium on fractals in physics, ICTP, Trieste, Italy, July 9-12, 1985. 2nd reprint. Amsterdam etc.: North-Holland (1988; Zbl 0652.58001) OpenURL
Jullien, R.; Botet, R. Aggregation and fractal aggregates. (English) Zbl 0726.92030 Singapore etc.: World Scientific Publishing. ix, 120 p. $ 28.00 (1987). Reviewer: S.Pogosian (Erevan) MSC: 92F05 82D99 82-02 92-02 93E99 PDF BibTeX XML Cite \textit{R. Jullien} and \textit{R. Botet}, Aggregation and fractal aggregates. Singapore etc.: World Scientific Publishing (1987; Zbl 0726.92030) OpenURL
Nicolis, John S. Chaotic dynamics applied to biological information processing. (English) Zbl 0647.92001 Mathematical Ecology. Berlin: Akademie-Verlag. 120 p.; DM 20.00 (1987). Reviewer: T.Kostova-Vassilevska MSC: 92-02 92Cxx 94A15 37D45 91E99 91E30 34C05 PDF BibTeX XML OpenURL