Publications

  • J. M. Flynn and S. S. Pilyugin (2022), Using restart sequences to determine beneficial first passage under restart, arXiv:2204.07422.
  • J. M. Flynn and S. S. Pilyugin (2021), First passage with restart in discrete time: with applications to biased random walks on the half-line, arXiv:2108.11508v2.
  • J. Jiao, L. Riotte-Lambert, S. S. Pilyugin, M. A. Gil and C. W. Osenberg (2020), Mobility and its sensitivity to fitness differences determine consumer–resource distributions, R. Soc. Open Sci. 7: 200247. http://dx.doi.org/10.1098/rsos.200247.
  • M. Binder and S. S. Pilyugin (2019), Stability analysis of a deterministic model of Zika/Dengue co-circulation, Int. J. Biomath. 12 (4), 1950045 (39 pages), DOI: 10.1142/S1793524519500451.
  • J. Jiao, S. S. Pilyugin, L. Riotte-Lambert and C. W. Osenberg (2018), Habitat-dependent movement rate can determine the efficacy of marine protected areas, Ecology, 99 (11), pp. 2485-2495, https://doi.org/10.1002/ecy.2477.
  • S. Khonthapagdee and S. S. Pilyugin (2017), Crowding and light limitation affect phytoplankton competition for nitrogen, Journal of Biological Systems 25 (4), 743-765.
  • J. Jiao, S. S. Pilyugin, and C. Osenberg (2016), Random movement of predators can eliminate trophic cascades in marine protected areas, Ecosphere, DOI: 10.1002/ecs2.1421.
  • E. Milliken and S. S. Pilyugin (2016), A model of infectious salmon anemia virus with viral diffusion between wild and farmed patches, Discrete and Continuous Dynamical Systems B 21(6), 1869 – 1893.
  • C. J. Browne and S. S. Pilyugin (2016), Minimizing R_0 for in-host model with periodic combination antiviral therapy, Discrete and Continuous Dynamical Systems B 21(10), 3301-3314.
  • S. S. Pilyugin, Jan Medlock, P. De Leenheer (2016), The effectiveness of marine protected areas for predator and prey with varying mobility, Theoretical Population Biology 110, 63-77.
  • J. Jiao, S. S. Pilyugin, C. Osenberg (2016), Random movement of predators can eliminate trophic cascades in marine protected areas, Ecosphere, in press.
  • C. J. Littles, S. S. Pilyugin, T. K. Frazer (2016), A combined inverse method and multivariate approach for exploring population trends of Florida manatees, Marine Mammal Science 32 (1), 122-140.
  • E. Milliken and S. S. Pilyugin (2016), A model of infectious salmon anemia virus with viral diffusion between wild and farmed patches, Discrete and Continuous Dynamical Systems B, in press.
  • K. Jacobsen and S. S. Pilyugin (2015), Analysis of a mathematical model for tumor therapy with a fusogenic oncolytic virus, Math. Biosci. (270): 169-182.
  • G. V. Beznoussenko, S. S. Pilyugin, W. J. C Geertz, M. M. Kozlov, K. N J. Burger, A. Luini, J. Derganc, and A. A. Mironov (2015), Trans-membrane area asymmetry controls the shape of cellular organelles, International Journal of Molecular Science, 16(3), 5299-5333.
  • A. Handel, V. Akin, S. S. Pilyugin, V. Zarnitsyna, and R. Antia (2014), How sticky should a virus be? The impact of virus binding and release on transmission fitness using influenza as an example, J. R. Soc. Interface. 2014 11 20131083; doi:10.1098/rsif.2013.1083. jrsi2014
  • H. Pourbashash, S. S. Pilyugin, C. McCluskey, and P. De Leenheer (2013), Global analysis of within host virus models with cell-to-cell viral transmission, to appear in DCDS-B. cosner60-dcdsB
  • K. Jacobsen, J. Stupiansky, and S. S. Pilyugin (2013), Mathematical modeling of citrus groves infected by Huanglongbing, Math. Biosci. Eng. 10 (3), pp. 705-728. mbe_hlb2013
  • C. J. Browne and S. S. Pilyugin (2013), A within-host virus model with age-structured infected cell component, DCDS – B 18 (8), pp. 1999-2017. dcds2013
  • C. J. Browne and S. S. Pilyugin (2012), Periodic multidrug therapy in a within-host virus model, Bull. Math. Biol., PMID: 21822766.cameron_bmb
  • S. F. Ellermeyer and S. S. Pilyugin (2011), A size-structured model of bacterial growth and reproduction, J. Biol. Dyn., DOI:10.1080/17513758.2010.535127. ellermeyer_jbd_2011
  • P. De Leenheer, J. Dockery, T. Gedeon, and S. S. Pilyugin (2010), The chemostat with lateral gene transfer, J. Biol. Dyn. 4 (6), pp. 607-620. jbd-lateral-gene-transfer
  • P. De Leenheer, J. Dockery, T. Gedeon, and S. S. Pilyugin (2010), Senescence and antibiotic resistance in an age-structured population model, J. Math. Biol. 61 (4), pp. 475-499. jmb2009
  • J. T. Noel, S. S. Pilyugin, and A. Narang (2009), The diffusive influx and carrier efflux have a strong effect on the bistability of the lac operon in Escherichia coli, J. Theor. Biol. 256 (1), pp. 14-28. jtb2009
  • A. Handel, A. Yates, S. S. Pilyugin, and R. Antia (2009), Sharing the burden: Antigen transport and firebreaks in immune responses, J. Royal Soc. -Interface 6 (34), pp. 447-454. jrc2009
  • P. De Leenheer and S. S. Pilyugin (2008), Multi-strain virus dynamics with mutations: A global analysis, Math. Med. and Biol. 25 (4), pp. 285-322. multistrain
  • A. Narang and S. S. Pilyugin (2008), Bistability of the lac operon during growth of Escherichia coli on lactose and lactose + glucose, Bull. Math. Biol. 70 (4), pp. 1032-1064. bmb2008
  • P. De Leenheer, W. S. Keeran, and S. S. Pilyugin (2008), Feedback-mediated coexistence and oscillations in the chemostat, DCDS – B 9 (2), pp. 321-351. dcds2008
  • P. De Leenheer and S. S. Pilyugin (2008), Immune response to a malaria infection: Properties of a mathematical model, J. Biological Dynamics 2 (2), pp. 102-120. arxiv-7-30-07-2
  • A. Handel, S. S. Pilyugin, A. Yates, and R. Antia (2007), The importance of gap junctions during immune responses, Theor. Immunol. 28 (11), pp. 463-466. trendsimmunol
  • W. S. Keeran, P. De Leenheer, and S. S. Pilyugin (2007), Circular and elleptic orbits in a feedback-mediated chemostat, DCDS – B 7(4), pp. 779-792. dcds_2007
  • M. Martcheva, S. S. Pilyugin, and R. D. Holt (2007), Subthreshold and superthreshold coexistence of pathogen variants: The impact of age-structure, Math. Biosci. 207, pp. 58-77. mathbiosci2007
  • A. Narang and S. S. Pilyugin (2007), Bacterial gene regulation in diauxic and non-diauxic growth, J. Theor. Biol. 244, pp. 326-348.jtb_gene_reg2007
  • A. Meyer-Baese and S. S. Pilyugin (2006), Stability analysis of an unsupervised neural network with feedforward and feedback dynamics, Neurocomputing Letters 70, pp. 603-606. neucom2006
  • M. Martcheva and S. S. Pilyugin (2006), The role of coinfection in multi-disease dynamics, SIAM J. Appl. Math. 66 (3), pp. 843-872.siap_coinfection2006
  • M. Martcheva and S. S. Pilyugin (2006), An epidemic model structured by host immunity, J. Biol. Sys. 14 (2), pp. 185-203. jbs2006
  • P. De Leenheer and S. S. Pilyugin (2006), Feedback-mediated oscillatory coexistence in the chemostat, Lecture Notes in Control and Information Sciences 341, pp. 97-104. feedback_2006
  • V. V. Ganusov, S. S. Pilyugin, R. Ahmed, and R. Antia (2006), How does cross-reactive stimulation affect the longevity of CD8+ T cell memory?, PLoS Comp. Biol. 2(6), e55 DOI: 10.1371/journal.pcbi.0020055. plos2006
  • S. S. Pilyugin, V. V. Ganusov, R. DeBoer, R. Antia, K. Murali-Krishna, and R. Ahmed (2005), Quantifying cell turnover using CFSE data, J. Immun. Meth., 298, pp. 183-200. jim2005
  • S. Gupta, S. S. Pilyugin, and A. Narang (2005), The dynamics of single-substrate continuous cultures: The role of ribosomes, J. Theor. Biol. 232, pp. 467-490. jtb_ribosomes2005
  • A. Narang and S. S. Pilyugin (2005), Toward an integrated physiological theory of microbial growth: From subcellular variables to population dynamics, Math. Biosci. Eng. 2 (1), pp. 169-206. mbe_2005
  • S. S. Pilyugin, G. T. Reeves, and A. Narang (2004), Predicting stability of mixed microbial cultures from single species experiments: 1. Phenomenological model, Math. Biosci. 192, pp. 85-109. mathbiosci2004-1
  • S. S. Pilyugin, G. T. Reeves, and A. Narang (2004), Predicting stability of mixed microbial cultures from single species experiments: 2. Physiological model, Math. Biosci. 192, pp. 111-136. mathbiosci2004-2
  • J. Arino, S. S. Pilyugin, and G. S. K. Wolkowicz (2003), Considerations on yield, nutrient uptake, cellular growth, and competition in chemostat models, Can. Appl. Math. Quart. 11 (2), pp. 107-142. yields_2003
  • A. Mayer-Baese, S. S. Pilyugin, A. Wismuller, and S. Foo (2004), Local exponential stability of competitive neural networks with different time scales, Eng. Appl. Art. Intel. 17, 227-232. artif_intell_2004
  • G. T. Reeves, A. Narang, and S. S. Pilyugin (2004), Growth of mixed cultures on mixtures of substitutable substrates: The operating diagram for a structured mode, J. Theor. Biol. 226 (2), pp. 143-157. jtb_mixed_cult2004
  • S. S. Pilyugin and P. Waltman (2003), Divergence criterion for generic planar systems, SIAM J. Appl. Math. 64 (1), pp. 81-93. siap_2003
  • S. S. Pilyugin, V. V. Ganusov, K. Murali-Krishna, R. Ahmed, and R. Antia (2003), The rescaling method for quantifying the turnover of cell populations, J. Theor. Biol. 225, pp. 275-283. jtb_rescaling2003
  • A. Meyer-Baese, S. S. Pilyugin, and Y. Chen (2003), Global exponential stability of competitive neural networks with different time scales, IEEE Trans. Neur. Net., 14 (3), pp. 716-719. ieee_2003
  • J. Shoemaker, G. T. Reeves, S. Gupta, S. S. Pilyugin, T. Egli, and A. Narang (2003), The dynamics of single-substrate continuous cultures: The role of transport enzymes, J. Theor. Biol. 222, pp. 307-322. jtb_chemostat2003
  • R. Antia, C. Bergstrom, S. S. Pilyugin, S. M. Kaech, and R. Ahmed (2003), Models of CD8+ responses: 1. What is the antigen-independent proliferation program? J. Theor. Biol. 221, pp. 585-598. jtb_memory2003
  • A. Meyer-Baese and S. S. Pilyugin (2003), Global asymptotic stability of a class of dynamical neural networks, International Journal of Neural Systems 13 (1), pp. 47-53. ijns_2003
  • S. S. Pilyugin and P. Waltman (2003), Multiple limit cycles in the chemostat with variable yield, Math. Biosci. 182, pp. 151-166. mathbiosci2003
  • S. F. Ellermyer, S. S. Pilyugin, and R. Redheffer (2001), Persistence criteria for a chemostat with variable nutrient input, J. Diff. Eqns. 171, pp. 132-147. jde2001
  • S. S. Pilyugin and R. Antia (2000), Modeling immune responses with handling time, Bull. Math. Biol. 62, pp. 869-890. bmb2000
  • S. S. Pilyugin and P. Waltman (1999), The simple chemostat with wall growth, SIAM J. Appl. Math. 59 (5), pp. 1552-1572. siam_wall1999
  • S. S. Pilyugin and P. Waltman (1999), Competition in the unstirred chemostat with periodic input and washout, SIAM J. Appl. Math. 59 (4), pp. 1157-1177. siam_periodic1999
  • R. Antia, S. S. Pilyugin, and R. Ahmed (1998), Models of immune memory: One the role of cross-reactive stimulation, competition and homeostasis in maintaining immune memory, Proc. Natl. Acad. Sci. USA 95, pp. 14926-14931. pnas_memory1998
  • S. S. Pilyugin, J. Mittler, and R. Antia (1997), Modeling T-cell proliferation: An investigation of consequences of the Hayflick limit, J. Theor. Biol. 186 (1), pp. 117-129. jtb_hayflick1997