Pilyugin, Sergei S.

• 2787180
  De Leenheer, Patrick(1-FL); Dockery, Jack(1-MTS); Gedeon, Tomas(1-MTS); Pilyugin, Sergei S.(1-FL)
  The chemostat with lateral gene transfer. (English summary)
  J. Biol. Dyn. 4 (2010), no. 6, 607–620.
  92D25 (92D30)
  
• 2672532
  De Leenheer, Patrick(1-FL); Dockery, Jack(1-MTS); Gedeon, Tomáš(1-MTS); Pilyugin, Sergei S.(1-FL)
  Senescence and antibiotic resistance in an age-structured population model. (English summary)
  J. Math. Biol. 61 (2010), no. 4, 475–499.
  92D25 (34A33 34D05 92D15 93D05)
  
• 2427521
  De Leenheer, Patrick(1-FL); Pilyugin, Sergei S.(1-FL)
  Immune response to a malaria infection: properties of a mathematical model. (English summary)
  J. Biol. Dyn. 2 (2008), no. 2, 102--120.
  92D30 (34C60 34D23)
  
• 2391178
  Narang, Atul(1-FL-KE); Pilyugin, Sergei S.(1-FL)
  Bistability of the lac operon during growth of Escherichia coli on lactose and lactose + glucose. (English summary)
  Bull. Math. Biol. 70 (2008), no. 4, 1032--1064.
  92C40
  
• 2373385
  Keeran, Willard S.(1-FL); De Leenheer, Patrick(1-FL); Pilyugin, Sergei S.(1-FL)
  Feedback-mediated coexistence and oscillations in the chemostat. (English summary)
  Discrete Contin. Dyn. Syst. Ser. B 9 (2008), no. 2, 321--351.
  92D25 (37N25)
  
• 2322005
  Martcheva, Maia(1-FL); Pilyugin, Sergei S.(1-FL); Holt, Robert D.(1-FL-Z)
  Subthreshold and superthreshold coexistence of pathogen variants: the impact of host age-structure. (English summary)
  Math. Biosci. 207 (2007), no. 1, 58--77.
  92D30 (34C11)
  
• 2291872
  Keeran, Willard S.(1-FL); De Leenheer, Patrick(1-FL); Pilyugin, Sergei S.(1-FL)
  Circular and elliptic orbits in a feedback-mediated chemostat. (English summary)
  Discrete Contin. Dyn. Syst. Ser. B 7 (2007), no. 4, 779--792 (electronic).
  92D25 (34C25 92C37)
  
• 2281029
  Narang, Atul(1-FL-KE); Pilyugin, Sergei S.(1-FL)
  Bacterial gene regulation in diauxic and non-diauxic growth. (English summary)
  J. Theoret. Biol. 244 (2007), no. 2, 326--348.
  92D10 (92C15 92C40)
  
• 2250245
  De Leenheer, Patrick(1-FL); Pilyugin, Sergei S.(1-FL)
  Feedback-mediated oscillatory coexistence in the chemostat. (English summary) Positive systems, 97--104,
  Lecture Notes in Control and Inform. Sci., 341, Springer, Berlin, 2006.
  92D25 (93B52)
  
• 2216723
  Martcheva, Maia(1-FL); Pilyugin, Sergei S.(1-FL)
  The role of coinfection in multidisease dynamics. (English. English summary)
  SIAM J. Appl. Math. 66 (2006), no. 3, 843--872 (electronic).
  35F25 (35B32 35B35 37N25 92D30)
• 2130757
  Narang, Atul(1-FL-KE); Pilyugin, Sergei S.(1-FL)
  Toward an integrated physiological theory of microbial growth: from subcellular variables to population dynamics. (English. English summary)
  Math. Biosci. Eng. 2 (2005), no. 1, 169--206.
  92D25 (34C60 37N25)
• 2125827
  Gupta, Shakti(1-FL-KE); Pilyugin, S. S.(1-FL); Narang, Atul(1-FL-KE)
  The dynamics of single-substrate continuous cultures: the role of ribosomes. (English. English summary)
  J. Theoret. Biol. 232 (2005), no. 4, 467--490.
  92D25 (92D40)
• 2120643
  Pilyugin, Sergei S.(1-FL); Reeves, Gregory T.(1-PRIN-KE); Narang, Atul(1-FL-KE)
  Predicting stability of mixed microbial cultures from single species experiments. II. Physiological model. (English. English summary)
  Math. Biosci. 192 (2004), no. 2, 111--136.
  92D25 (34D20 35Q80 37N25 92C30 92C37 92C40 92D40)
• 2120642
  Pilyugin, Sergei S.(1-FL); Reeves, Gregory T.(1-PRIN-KE); Narang, Atul(1-FL-KE)
  Predicting stability of mixed microbial cultures from single species experiments. I. Phenomenological model. (English. English summary)
  Math. Biosci. 192 (2004), no. 2, 85--109.
  92D25 (34D20 35Q80 37N25 92C37 92C40 92D40 93C30)
• 2069298
  Reeves, Gregory T.(1-PRIN-KE); Narang, Atul(1-FL-KEE); Pilyugin, Sergei S.(1-FL)
  Growth of mixed cultures on mixtures of substitutable substrates: the operating diagram for a structured model. (English. English summary)
  J. Theoret. Biol. 226 (2004), no. 2, 143--157.
  92D25
• 2132250
  Arino, Julien(3-MMAS); Pilyugin, Sergei S.(1-FL); Wolkowicz, Gail S. K.(3-MMAS)
  Considerations on yield, nutrient uptake, cellular growth, and competition in chemostat models. (English. English summary)
  Can. Appl. Math. Q. 11 (2003), no. 2, 107--142.
  92D25
• 2077393
  Pilyugin, Sergei S.(1-FL); Ganusov, Vitaly V.(1-EMRY-B); Murali-Krishna, Kaja(1-EMRY-VR); Ahmed, Rafi(1-EMRY-VR); Antia, Rustom(1-EMRY-B)
  The rescaling method for quantifying the turnover of cell populations. (English. English summary)
  J. Theoret. Biol. 225 (2003), no. 2, 275--283.
  92D25 (92C37)
• 2067535
  Shoemaker, Jason(1-FL-KE); Reeves, Gregory T.(1-PRIN-KE); Gupta, Shakti(1-FL-KE); Pilyugin, Sergei S.(1-FL); Egli, Thomas; Narang, Atul(1-FL-KE)
  The dynamics of single-substrate continuous cultures: the role of transport enzymes. (English. English summary)
  J. Theoret. Biol. 222 (2003), no. 3, 307--322.
  92D25
• 2043099
  Antia, Rustom(1-EMRY-B); Bergstrom, Carl T.(1-WA-Z); Pilyugin, Sergei S.(1-FL); Kaech, Susan M.(1-EMRY-VR); Ahmed, Rafi(1-EMRY-VR)
  Models of CD8+ responses. I. What is the antigen-independent proliferation program. (English. English summary)
  J. Theoret. Biol. 221 (2003), no. 4, 585--598.
  92D10
• 2029125
  Pilyugin, Sergei S.(1-FL); Waltman, Paul(1-EMRY-CS)
  Divergence criterion for generic planar systems. (English. English summary)
  SIAM J. Appl. Math. 64 (2003), no. 1, 81--93 (electronic).
  34C23 (37G10 37N25 92D25)
• 1965353
  Pilyugin, Sergei S.(1-FL); Waltman, Paul(1-EMRY-CS)
  Multiple limit cycles in the chemostat with variable yield. (English. English summary)
  Math. Biosci. 182 (2003), no. 2, 151--166.
  34C60 (34C05 34C25 92D25)
• 1816797
  Ellermeyer, S. F.; Pilyugin, S. S.(1-FL); Redheffer, Ray(1-UCLA)
  Persistence criteria for a chemostat with variable nutrient input. (English. English summary)
  J. Differential Equations 171 (2001), no. 1, 132--147.
  92D40 (34C60)
• 1699028
  Pilyugin, Sergei S.(1-GAIT-NL); Waltman, Paul(1-EMRY-CS)
  The simple chemostat with wall growth. (English. English summary)
  SIAM J. Appl. Math. 59 (1999), no. 5, 1552--1572 (electronic).
  92D25 (34C60 34D45 80A32)
• 1686709
  Pilyugin, Sergei S.(1-EMRY-CS); Waltman, Paul(1-EMRY-CS)
  Competition in the unstirred chemostat with periodic input and washout. (English. English summary)
  SIAM J. Appl. Math. 59 (1999), no. 4, 1157--1177 (electronic).
  92D25 (34C60 35Q80)