Publications
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Publications on Google Scholar
Books
1. V. Mendez, S. Fedotov, W. Horsthemke. Reaction-Transport Systems: Mesoscopic Foundations, Fronts, and Spatial Instabilities. Springer Series in Synergetics. 2010.
2. E. Haven, Ph. Molyneux, J. Wilson, S. Fedotov, M. Duygun. The Handbook of Post Crisis Financial Modelling. Palgrave, 2016.
Journal papers.
107. Nickolay Korabel, Alessandro Taloni, Gianni Pagnini, Viki Allan, Sergei Fedotov & Thomas Andrew Waigh. Ensemble heterogeneity mimics ageing for endosomal dynamics within eukaryotic cells. Scientific Reports, 13, 8789 (2023).
106. Nickolay Korabel, Hamed Al Shamsi, Alexey O. Ivanov, Sergei Fedotov. Non-Markovian Persistent Random Walk Model for Intracellular Transport. Fractal and Fractional. 7, 758 (2023).
105. Sergei Fedotov and Daniel Han. Population heterogeneity in the fractional master equation, ensemble self-reinforcement, and strong memory effects. Phys. Rev. E, 107, 034115 (2023).
104. Ilya O Starodumov, Sergey Yu Sokolov, Felix A Blyakhman, Andrey Yu Zubarev, Sergei P Fedotov, Dmitri V Alexandrov. In silico study of magnetic nanoparticles transport in channels of various diameters in the presence of a constant magnetic field. The European Physical Journal Special Topics, 1-11 (2023).
103. Sergei Fedotov, Daniel Han, Alexey O Ivanov, Marco AA Da Silva. Superdiffusion in self-reinforcing run-and-tumble model with rests. Phys. Rev. E 105, 014126 (2022).
102. Dmitri V. Alexandrov, Nickolay Korabel, Frederick Currell & Sergei Fedotov. Dynamics of intracellular clusters of nanoparticles. Cancer Nanotechnology, 13, 15 (2022).
101. Sergei Fedotov, Dmitri Alexandrov,Ilya Starodumov and Nickolay Korabel. Stochastic Model of Virus-Endosome Fusion and Endosomal Escape of pH-Responsive Nanoparticles. Mathematics, 10(3), 375 (2022).
100. Eugenya V. Makoveeva, Dmitri V. Alexandrov, and Sergei P. Fedotov. Analysis of Smoluchowski Coagulation Equation with Injection. Crystals, 12(8), 1159(2022).
2020-2021
99. Daniel Han, Dmitri V. Alexandrov, Anna Gavrilova and Sergei Fedotov. Anomalous Stochastic Transport of Particles with Self-Reinforcement and Mittag–Leffler Distributed Rest Times. Fractal Fractional, 5(4), 221 (2021).
98. Sergei Fedotov, Daniel Han, Andrey Yu Zubarev, Mark Johnston and Victoria J. Allan. Variable-order fractional master equation and clustering of particles: non-uniform lysosome distribution. Philos. Trans. R. Soc. Lond. A 379, 20200317 (2021).
97. Nickolay Korabel, Daniel Han, Alessandro Taloni, Gianni Pagnini, Sergei Fedotov, Viki Allan and Thomas Andrew Waigh. Local Analysis of Heterogeneous Intracellular Transport: Slow and Fast Moving Endosomes. Entropy 23, 958 (2021).
96. Daniel Han, Marco A. A. da Silva, Nickolay Korabel, and Sergei Fedotov. Self-reinforcing directionality generates truncated LĂ©vy walks without the power-law assumption. Phys. Rev. E 103, 022132 (2021).
95. Daniel Han, Nickolay Korabel, Runze Chen, Mark Johnston, Anna Gavrilova, Victoria J Allan, Sergei Fedotov, Thomas A Waigh. Deciphering anomalous heterogeneous intracellular transport with neural networks. eLife (2020).
94. John W. Warmenhoven, Nicholas T. Henthorn, Samuel P. Ingram, Amy L. Chadwick, Marios Sotiropoulos, Nickolay Korabel, Sergei Fedotov, Ranald I. Mackay, Karen J. Kirkby, Michael J. Merchant. Insights into the non-homologous end joining pathway and double strand break end mobility provided by mechanistic in silico modelling. DNA Repair, 85, 1027432 (2020).
2016-2019
93. Sergei Fedotov and Daniel Han. Asymptotic Behavior of the Solution of the Space Dependent Variable Order Fractional Diffusion Equation: Ultraslow Anomalous Aggregation. Phys. Rev. Lett. 123, 050602 (2019).
92. Sergei Fedotov, Nickolay Korabel, Thomas A. Waigh, Daniel Han, and Victoria J. Allan. Memory effects and LĂ©vy walk dynamics in intracellular transport of cargoes. Phys. Rev. E. 98, 042136 (2018).
91. Nickolay Korabel, Thomas A. Waigh, Sergei Fedotov, Viki J. Allan. Non-Markovian intracellular transport with sub-diffusion and run-length dependent detachment rate. PLoS One. (2018).
90. H. Stage and S. Fedotov. Non-linear continuous time random walk models. Eur. Phys. J. B 90, 225 (2017).
89. S. Fedotov and H. Stage. Anomalous Metapopulation Dynamics on Scale-Free Networks. Phys. Rev. Lett. 118, 098301 (2017).
88. S. Fedotov and N. Korabel. Emergence of Levy walks in systems of interacting individuals. Phys. Rev. E. 95, 030107(R) (2017).
87. S. Fedotov. Single integrodifferential wave equation for a LĂ©vy walk. Phys. Rev. E. 93, 020101 (2016).
86. I. Bashkirtseva, S. Fedotov, L. Ryashko, and E. Slepukhina. Stochastic Bifurcations and Noise-Induced Chaos in 3D Neuron Model. Int. J. Bifurc. Chaos. 26(12)(2016).
85. J.P. Taylor-King, R. Klages, S. Fedotov, R.A. Van Gorder. Fractional diffusion equation for an n-dimensional correlated LĂ©vy walk. Phys. Rev. E. 94, 012104 (2016).
84. H. Stage, S. Fedotov and V. MĂ©ndez. Proliferating LĂ©vy Walkers and Front Propagation Math. Model. Nat. Phenom. Vol. 11, No. 3, 157-178 (2016).
2012-2015
83. S. Fedotov, N. Korabel. Self-organized anomalous aggregation of particles performing nonlinear and non-Markovian random walks. Phys. Rev. E. 92. 062127 (2015).
82. S. Fedotov, A. Tan and A. Zubarev. Persistent random walk of cells involving anomalous effects and random death. Phys. Rev. E 91, 042124 (2015).
81. S. Fedotov and N. Korabel. Subdiffusion in a external potential: Anomalous effects hiding behind normal behavior. Phys. Rev. E 91, 042112 (2015).
80. S. Falconer, A. Al-Sabbagh, S. Fedotov. Nonlinear Tempering of Subdiffusion with Chemotaxis, Volume Filling, and Adhesion. Math. Model. Nat. Phen. 10 48-60 (2015).
79. P. Straka and S. Fedotov. Transport equations for subdiffusion with nonlinear particle interaction,. J. Theor. Biology 366, 71-83, (2015).
78. Sergei Fedotov and Steven Falconer. Nonlinear degradation-enhanced transport of morphogens performing subdiffusion. Phys. Rev. E 89, 012107 (2014).
77. Dmitry V Alexandrov, Irina A Bashkirtseva, Sergei P Fedotov, Lev B Ryashko. Regular and chaotic regimes in Saltzman model of glacial climate dynamics under the influence of additive and paramtic noise. European Physical J B, 87 227 (2014).
76. Sergei Fedotov. Nonlinear subdiffusive fractional equations and the aggregation phenomenon. Phys. Rev. E 88, 032104 (2013).
75. Sergei Fedotov and Steven Falconer. Random death process for the regularization of subdiffusive fractional equations. Phys. Rev. E 87, 052139 (2013).
74. S. Fedotov, A.O. Ivanov and A. Y. Zubarev. Non-homogeneous Random Walks, Subdiffusive Migration of Cells and Anomalous Chemotaxis, Math. Model. Nat. Phen. 8, 28-43 (2013).
73. S. Fedotov and S. Falconer. Subdiffusive master equation with space dependent anomalous exponent and structural instability. Phys. Rev. E 85, 031132 (2012).
72. V. MĂ©ndez, D. Campos, I. Pagonabarraga, and S. Fedotov. Density-dependent dispersal and population aggregation patterns. J. Theor. Biology, 309 113-120 (2012).
2008-2011
71. S. Fedotov, A. Iomin, and L. Ryashko. Non-Markovian models for migration-proliferation dichotomy of cancer cells: Anomalous switching and spreading rate. Phys. Rev. E 84, 061131 (2011).
70. Sergei Fedotov. Subdiffusion, chemotaxis, and anomalous aggregation. Phys. Rev. E 83, 021110 (2011).
69. S. Fedotov, H. Al-Shamsi, A. Ivanov and A. Zubarev Anomalous transport and nonlinear reactions in spiny dendrites. Phys. Rev. E 82, 041103 (2010).
68. Sergei Fedotov. Non-Markovian random walks and nonlinear reactions: Subdiffusion and propagating fronts. Phys. Rev. E 81, 011117 (2010).
67. N. Chirikov, S. P. Fedotov, L. Yu. Iskakova, and A. Yu. Zubarev. Viscoelastic properties of ferrofluids. Phys. Rev. E 82, 051405 (2010).
66. Sergei Fedotov and Vicenç Méndez. Non-Markovian model for transport and reactions of particles in spiny dendrites. Phys. Rev. Lett. 101, 218102 (2008).
65. S. Fedotov, D. Moss, and D. Campos. Stochastic model for population migration and the growth of human, settlements during the Neolithic. Phys. Rev. E 78, 026107 (2008).
64. S. Fedotov and A. Iomin. Probabilistic approach to a proliferation and migration dichotomy in tumor cell invasion. Phys. Rev. E 77, 031911 (2008).
63. D. Campos, S. Fedotov, and V. MĂ©ndez. Anomalous reaction transport processes: The dynamics beyond the law of mass action. Phys. Rev. E 77, 061130 (2008).
62. D. Campos, V. Méndez, and S. Fedotov. The effects of distributed life cycles on the dynamics of viral infections. J. Theor. Biology 254, 430–438 (2008).
2004-2007
61. S. Fedotov, G. N. Milstein, and M. V. Tretyakov. Superdiffusion of a random walk driven by ergodic Markov process with switching. J. Phys. A: Math. Theor. 40, 5769-5782 (2007).
60. S. Fedotov and A. Iomin. Migration and proliferation dichotomy in tumor cell invasion. Phys. Rev. Lett. 98, 118101 (2007).
59. A. Yadav, S. Fedotov, V. Méndez, W. Horsthemke. Propagating fronts in reaction–transport systems with memory. Physics Letters A 371, 374–378 (2007).
58. S.I. Abarzhi, M. Cadjan S. Fedotov. Stochastic model of Rayleigh–Taylor turbulent mixing. Physics Letters A 371, 457–461 (2007).
57. V. MĂ©ndez, S. Fedotov, and W. Horsthemke. Effect of memory on the speed of reaction-diffusion fronts. Europhysics Letters, 77 58006 (2007).
56. S. Fedotov and A. Zubarev. Waves in a two-component model of galactic dynamo: metastability and stochastic generation. Physica A 380, 226-234, (2007).
55. V. MĂ©ndez, S. Fedotov, D. Campos and W. Horsthemke. Biased random walks and propagation failure. Phys. Rev. E 75, 011118 (2007).
54. S. Fedotov, I. Bashkirtseva, and L. Ryashko. Stochastic dynamo model for subcritical transition. Phys. Rev. E. 73, 066307 (2006).
53. S. Fedotov, M. Ihme and H. Pitsch. Stochastic mixing model with power law decay of variance. Phys. Rev. E. 71, 016310 (2005).
52. S. Fedotov and A. Tan. Long Memory Stochastic Volatility in Option Pricing. Int. J. Theor. and Applied Finance 8, 381-392 (2005).
51. S. Fedotov and S. Panayides. Stochastic arbitrage return and its implication for option pricing. Physica A 345, 207-217 (2005).
50. S. Fedotov and Yuki Okuda (2004) Waves in a reaction-transport system with memory, long-range interactions and transmutations, Phys. Rev. E. 70, 051108
49. V. MĂ©ndez, D. Campos and S. Fedotov. Analysis of fronts in reaction-dispersal processes. Phys. Rev. E. 70, 066129 (2004).
48. S. Fedotov, I. Bashkirtseva, and L. Ryashko. Stochastic analysis of subcritical amplification of magnetic energy in a turbulent dynamo, Physica A 342, 3-4, 491 506 (2004).
47. V. Mendez, D. Campos and S. Fedotov. Front propagation in reaction-dispersal models with finite jump speed. Phys. Rev. E. 70, 036121 (2004)
2001-2003
46. S. Fedotov. Non-normal and stochastic amplification of magnetic energy in the turbulent dynamo: Subcritical case. Phys. Rev. E. 68, 067301 (2003).
45. V. Mendez, J. Fort, H. Rotstein, and S. Fedotov. Speed of reaction-diffusion fronts in spatial heterogeneous media. Phys. Rev. E. 68, 041105 (2003).
44. Fedotov, S., Ivanov, A., and Zubarev, A. Non-local mean field dynamo theory and magnetic fronts in galaxies, Geophys. Astroph. Fluid Dyn., 97, 135- 148 (2003).
43. H. Pitsch, C. M. Cha, and S. Fedotov. Flamelet modeling of non-premixed turbulent combustion with local extinction and re-ignition, Comb. Theory Modelling 7, 317-332 (2003).
42. Fedotov, S., Bashkirtseva, I. and Ryashko, L. (2002) Stochastic analysis of a non-normal dynamical system mimicking a laminar-to-turbulent subcritical transition. Phys. Rev. E. 66, 066310
41. Sergei Fedotov, and Vicenç Méndez Continuous-time random walks and traveling fronts. Phys. Rev. E. 66, 030102(R) (2002).
40. S. Fedotov, and Yuki Okuda. Non-Markovian random processes and travelling fronts in a reaction-transport system with memory and long-range interactions. Phys. Rev. E. 66, 021113 (2002).
39. Fedotov, S., Ivanov, A. Zubarev, A. (2002) Memory effects in a turbulent dynamo: Generation and propagation of a large-scale magnetic field, Phys. Rev. E. 65, 036313
38. M. Tretiakov, M. and S. Fedotov. On FKPP equation with Gaussian shear advection. Physica D 159, 190-201 (2001).
37. S. Fedotov. Front propagation into an unstable state of reaction-transport systems, Phys. Rev. Lett. 86, 926-929 (2001).
36. Pitsch, H. and Fedotov, S. (2001) Investigation of Scalar Dissipation Rate Fluctuations in Non-Premixed Turbulent Combustion Using a Stochastic Approach, Combust. Theory Modeling 5, 41-57.
35. S. Fedotov, and S. Mikhailov. Option Pricing for Incomplete Markets via Stochastic Optimization: Transaction Costs, Adaptive Control, and Forecast.Intern. J. Theoretical and Applied Finance, 4, 179-195 (2001).
34. S. Fedotov. (2001) Asymptotic analysis of traveling fronts for reaction-transport systems via Hamilton-Jacobi formalism. In Nonlinear Dynamics in the Life and Social Sciences, NATO Series A: Life Sciences - vol. 320 (Eds W.Sulis, I.Trofimova), pp. 153-165
1983-2000
33. S. Fedotov. Front dynamics for an anisotropic reaction-diffusion equation. J. Physics A, 33, 7033-7042 (2000).
32. S. Fedotov. (1999) Nonuniform reaction rate distribution for the generalized Fisher equation: ignition ahead of the reaction front. Phys. Rev. E, 60, 4958-4961.
31. S. Fedotov. Wave front for a reaction-diffusion system and relativistic Hamilton-Jacobi dynamics. Phys. Rev. E, 59, 5040-5044 (1999)
30. S. Fedotov. Traveling waves in reaction-diffusion system: diffusion with finite velocity and Kolmogorov-Petrovskii-Piskunov kinetics. Phys. Rev. E, 58, 5143-5145 (1998).
29. S. Fedotov. Scaling and renormalization for Kolmogorov-Petrovskii-Piskunov equation with turbulent convection. Phys. Rev. E, 55, 2750-2756 (1997).
28. Fedotov, S. (1997) Large scale probability density function for scalar field advected by high Reynolds number turbulent flow. J. Physics A: Mathematical and General, 30, L77-L82.
27. Fedotov, S.P. (1997) G-equation, Stochastic Control Theory and Relativistic Mechanics of a Particle Moving in a Random Field. Combust. Theory Modelling, 1, L1-L6.
26. Fedotov, S.P. (1996) Stochastic description of premixed turbulent combustion in terms of a coarse-grained flame surface density. Combustion and Flame, 106, 369-376.
25. Fedotov, S.P. (1996) Upper bounds for reaction front in d-dimensional turbulent flow J. Phys. A: Math. Gen.,29, L517-521.
24. Fedotov, S. (1996) Hamiltonian dynamics of a flame surface advected by random velocity field: KPP-equation with random advection and renormalization. ZAMM, 76, 5, 139-141.
23. Fedotov, S.P. (1995) Renormalization for reaction front propagation in a fully developed turbulent shear flow. Phys. Rev. E., 52, 3835-3839.
22. Fedotov, S.P. (1995) Reaction front propagation in a turbulent flow. J. Phys. A: Math. Gen., 28, 17, L461-L468.
21. Fedotov, S.P. (1995) The problem of flame propagation in a random velocity field: weak turbulence limit. J. Phys. A: Math. Gen., 28, 2057-2064.
20. Fedotov, S.P. (1993) Stochastic analysis of the thermal ignition of a distributed explosive system. Phys. Lett. A, 176, 220-224.
19. Buyevich, Yu.A., Fedotov, S.P., and Tret'yakov, M.V.(1993) Heterogeneous reaction affected by external noise. Physica A, 198, 354-367.
18. Fedotov, S.P. (1993) On the stochastic disturbances in a distributed chemical reactor, Dokl. Akad. Nauk SSSR, 329, 755-757.
17. Fedotov, S.P. (1992) Statistical model of the thermal ignition of a distributed system. Comb. and Flame, 91, 65-70.
16. Fedotov, S.P. (1992) Stochastic ignition of a distributed reacting system. Dokl. Akad. Nauk SSSR, 327, no. 2, 214--217 (Russian); translation in Soviet Phys. Dokl. 37 (1992), no. 11, 560--562 (1993).
15. Fedotov, S.P. and Tret'yakov, M.V. (1991) Stochastic criteria for ignition of single particles. Comb. Sci. and Tech.,78, 1-3, 1-6.
14. Buyevich, Yu.A., Tret'yakov, M.V., and Fedotov, S.P. (1991) A model of the stochastic growth of new phase islands on a solid surface. Dokl. Akad. Nauk SSSR, 321, 1005-1008; translation in Dokl. Phys. Chem., 6, 852-854.
13. Koroleva, N.A. and Fedotov, S.P. (1991) Oscillations in a bounded volume of reacting gas suspensate. Combust. Explo. Shock Physics, 27, 1, 78-82 .
12. Fedotov, S.P. and Tretyakov, M.V. (1991) Stochastic particle combustion. Khim. Fiz. 10 238-241.
11. Tretyakov, M.V. and Fedotov, S.P. (1990) Stationary regimes of heterogeneous reaction in the presence of white poisson noise. Khim. Fiz. 9, 252-257.
10. Fedotov, S.P. and Marchasin, V.S. (1990) Instability of homogeneous blood distribution in the microvascular network. Dokl. Akad. Nauk. SSSR, 313, 6, 1497-1499 (in Russian).
9. Fedotov, S.P. and Steinberg, A.V. (1990) Fluctuations of vascular tonus as a mechanism for the self-regulation of the oxygenation of muscle tissue. Dokl. Akad. Nauk SSSR 311, no. 1, 231--234 (Russian) .
8. Buevich, Yu.A., Koroleva, N.A., and Fedotov, S.P. (1989) Oscillatory state of infiltration combustion. Combust. Explo. Schock, 25, 2, 152-158.
7. Fedotov, S.P. and Tret'yakov, M.V. (1988) Steady state regimes of heterogeneous chemical reaction in the presense of external noise. Chem. Phys. 7, 11, 1533-1537 (in Russian).
6. Fedotov, S.P. and Michailova, N.A. (1988) Instability of a steady state regime for the combustion of petroleum in a porous medium. J. Eng. Phys. 55, 5, 1244-1251.
5. Buyevich, Yu.A. and Fedotov, S.P. (1987) Formation of heterogeneous reaction regimes under the action of multiplicative noise. J. Eng. Phys. 53, 5, 1302-1306.
4. Buevich, Y.A. and Fedotov, S.P. (1985) Instability of sound waves in chemically reacting aerocolloids. Combust. Explo. Shock, 21, 570-577.
3. Buyevich, Yu.A. and Fedotov, S.P. (1984) Velocity and attenuatian of sound in a vapor-droplet mixture. High. Temp. 22, 5, 739-743.
2. Buyevich, Yu.A. and Fedotov, S.P. (1983) Weakly nonlinear disturbances in concentrated gas suspensions. J. Appl. Mech. Tech. Phys. 24, 3, 366-371.
1. Buyevich, Yu.A. and Fedotov, S.P. (1982) Diffusion and mass transfer in moderately concentrated disperse system with small Peclet numbers. J. Eng. Phys. 43, 5, 1213-1118.
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