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Studying microbiology with Glenn F. Webb
The work of Glenn F. Webb
1.  College of Technology, University of Houston, Houston, Texas 770064021, United States 
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(with Denise Kirschner), Understanding drug resistance for monotherapy treatment of HIV infection,, Bull. Math. Biol., 59 (1997), 763. doi: 10.1016/S00928240(97)000384. 
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(with Denise Kirschner), A mathematical model of combined drug therapy of HIV infection,, J. Theoret. Med., 1 (1997), 25. doi: 10.1080/10273669708833004. 
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(with Denise Kirschner), Qualitative differences in HIV chemotherapy between resistance and remission outcomes,, Emerg. Infect. Dis., 3 (1997), 273. 
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(with 0. Arino and E. Sanchez), Necessary and sufficient conditions for asynchronous exponential growth in age structured cell populations with quiescence,, J. Math. Anal. Appl., 215 (1997), 499. doi: 10.1006/jmaa.1997.5654. 
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(with Denise Kirschner), \doititle{Immunotherapy of HIV infection},, J. Biol. Systems, 6 (1998), 71. doi: 10.1142/S0218339098000091. 
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(with J. Dyson and R. VillellaBressan), An age and maturity structured model of cell population dynamics,, in Mathematical Models in Medical and Health Science (Proceedings of the Conference on Mathematical Models in Medical and Health Sciences), (1999), 99. 
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(with Li Zhou, Yiping Fu, Mengxing He and Kaitai Song), Solutions of a class of first order partial differential equations with delay,, in Proceedings of the Conference on Nonlinear Partial Differential Equations and Applications (Chongquing University, (1998), 26. 
[102] 
(with Miles Cloyd and Denise Kirschner), A model of HIV I disease progression based on virusinduced lymph node homing and hominginduced apoptosis of CD4+ lymphocytes,, J. AIDS, 24 (2000), 352. 
[103] 
(with J. Dyson and R. VillellaBressan), A Nonlinear age and maturity structured model of population dynamics. I. Basic Theory,, J. Math. Anal. Appl., 242 (2000), 93. doi: 10.1006/jmaa.1999.6656. 
[104] 
(with J. Dyson and R. VillellaBressan), A Nonlinear age and maturity structured model of population dynamics. II. Chaos,, J. Math. Anal. Appl., 242 (2000), 255. doi: 10.1006/jmaa.1999.6657. 
[105] 
(with P. Magat), Mutation, selection, and recombination in a model of phenotype evolution,, Discrete Contin. Dynam. Syst., 6 (2000), 221. 
[106] 
(with J. Dyson and R. VillellaBressan), A maturity structured model of a population of proliferating and quiescent cells,, Archives of Control Sciences, 9 (1999), 201. 
[107] 
(with M. Blaser), Dynamics of bacterial phenotype selection in a colonized host,, Proc. Natl. Acad. Sci., 99 (2002), 3135. doi: 10.1073/pnas.042685799. 
[108] 
(with J. Dyson and R. VillellaBressan), Asynchronous exponential growth in an age structured population of proliferating and quiescent cells,, Math. Biosci., 177178 (2002), 177. doi: 10.1016/S00255564(01)000979. 
[109] 
, The prime number periodical cicada problem,, Discrete Contin. Dynam. Syst. Ser. B, 1 (2001), 387. doi: 10.3934/dcdsb.2001.1.387. 
[110] 
(with Seema Bajaria, Miles Cloyd and Denise Kirschner), Dynamics of nave and memory CD4+ T lymphocytes in HIVI disease progression,, J. AIDS, 30 (2002), 41. 
[111] 
(with E. D'Agata and M. A. Horn), The impact of persistent gastrointestinal colonization on the transmission dynamics of vancomycinresistant enterococci,, J. Infect. Dis., 185 (2002), 766. 
[112] 
, The steady state of a tumor cord cell population,, J. Evol. Eqs., 2 (2002), 425. doi: 10.1007/PL00012598. 
[113] 
(with M. Blaser), Mailborne transmission of anthrax: Modeling and implications,, Proc. Natl. Acad. Sci., 99 (2002), 7027. 
[114] 
(with R. Cutshaw and S.Ruan), A mathematical model of celltocell spread of HIV that includes a time delay,, J. Math. Biol., 46 (2003), 425. doi: 10.1007/s0028500201915. 
[115] 
, The silent bomb: The risk of anthrax as a weapon of mass destruction,, Proc. Nat. Acad. Sci., 100 (2003), 4355. 
[116] 
(with J. Dyson and R. VillellaBressan), A semilinear transport equation with delays,, Int. J. Math. Math. Sci., 2003 (2003), 2011. doi: 10.1155/S0161171203211431. 
[117] 
(with J. Dyson and R. VillellaBressan), The steady state of a maturity structured tumor cord cell population,, Discrete Contin. Dynam. Syst. Ser. B, 4 (2004), 115. 
[118] 
, Structured population dynamics,, Banach Center Publications, 63 (2004), 123. 
[119] 
(with Seema Bajaria and Denise Kirschner), Predicting differential responses to structured treatment interruptions during HAART,, Bull. Math. Biol., 66 (2004), 1093. doi: 10.1016/j.bulm.2003.11.003. 
[120] 
(with M. Blaser, H. Zhu, S. Ardal and J. Wu), Critical role of nosocomial transmission in the Toronto SARS, outbreak,, Math. Biosci. Eng., 1 (2004), 1. doi: 10.3934/mbe.2004.1.1. 
[121] 
(with J. Dyson and R. VillellaBressan), The evolution of a tumor cord cell population,, Comm. Pure Appl. Anal., 3 (2004), 331. doi: 10.3934/cpaa.2004.3.331. 
[122] 
(with E. D'Agata and M. A. Horn), A mathematical model quantifying the impact of antibiotic exposure, surveillance cultures and other interventions on the prevalence of vancomycinresistant enterococci,, J. Infect. Dis., 192 (2005), 2004. 
[123] 
(with M. Greer and L. PujoMenjouet), A mathematical analysis of the dynamics of prion proliferation,, J. Theoret. Biol., 242 (2006), 598. doi: 10.1016/j.jtbi.2006.04.010. 
[124] 
, Being prepared: Modeling the response to an anthrax attack,, Ann. Int. Med., 142 (2005), 667. 
[125] 
(with E.M.C. D'Agata, P. Magal, and S. Ruan), A model of antibiotic resistant bacterial epidemics in hospitals,, Proc. Nat. Acad. Sci., 102 (2005), 13343. 
[126] 
(with E. M. C., D'Agata, P. Magal and S. Ruan), Asymptotic behavior in nonsocomial epidemic models with antibiotic resistance,, Diff. Int. Eqs., 19 (2006), 573. 
[127] 
(with B. Ayati and A. R. A. Anderson), Computational methods and results for structured multiscale models of tumor invasion,, SIAM Multiscale Modeling and Simulation, 5 (2006), 1. doi: 10.1137/050629215. 
[128] 
(with J. Pruss, L. PujoMenjouet and R. Zacher), Analysis of a model for the dynamics of prions,, Discrete Contin. Dynam. Syst. Ser. B, 6 (2006), 215. 
[129] 
(with H. Engler and J. Pruss), Analysis of a model for the dynamics of prions II,, J. Math. Anal. Appl., 324 (2006), 98. doi: 10.1016/j.jmaa.2005.11.021. 
[130] 
(with C. Walker), Global existence of classical solutions for a haptotaxis model,, SIAM J. Math. Anal., 38 (2007), 1694. doi: 10.1137/060655122. 
[131] 
(with J. Dyson and R. VillellaBressan), Asymptotic behavior of solutions to abstract logistic equations,, Math. Biosci., 206 (2007), 216. doi: 10.1016/j.mbs.2005.08.005. 
[132] 
(with J. Dyson, R. VillellaBressan and E. Sanchez), Stabilization of telomeres in nonlinear models of proliferating cell lines,, J. Theoret. Biol., 244 (2007), 400. doi: 10.1016/j.jtbi.2006.08.023. 
[133] 
, Population models structured by age, size and spatial position,, in Structured Population Models in Biology and Epidemiology, 1936 (2008), 1. doi: 10.1007/9783540782735_1. 
[134] 
(with E. D'Agata and M. A. Horn), Quantifying the impact of bacterial fitness and repeated antimicrobial exposure on the emergence of multidrugresistant gramnegative bacilli,, Math. Mod. Nat. Phenom., 2 (2007), 129. doi: 10.1051/mmnp:2008014. 
[135] 
(with M. Greer, P. van den Driessche and L. Wang), Effects of general incidence and polymer joining on nucleated polymerization in a prion disease model,, SIAM J. Appl. Math., 68 (2007), 154. doi: 10.1137/06066076X. 
[136] 
(with E. D'Agata, P. Magal, D. Olivier and S. Ruan), Modeling antibiotic resistance in hospitals: The impact of minimizing treatment duration,, J. Theoret. Biol., 249 (2007), 487. doi: 10.1016/j.jtbi.2007.08.011. 
[137] 
(with P. Hinow, S. E. Wang, and C. L. Arteaga), Mathematical model separates quantitatively the cytostatic and cytotoxic effects of a HER2 tyrosine kinase inhibitor,, Theoret. Biol. Med. Mod., 4 (2007). doi: 10.1186/17424682414. 
[138] 
(with J. Dyson, R. VillellaBressan and E. Sanchez), An age and spatially structured model of tumor invasion with haptotaxis,, Discrete Contin. Dynam. Syst. Ser. B, 8 (2007), 45. doi: 10.3934/dcdsb.2007.8.45. 
[139] 
(with J. Dyson and R. VillellaBressan), An age and spatially structured model of tumor invasion with haptotaxis II,, Math. Pop. Studies, 15 (2008), 73. doi: 10.1080/08898480802010159. 
[140] 
(with J. Dyson and R. VillellaBressan), A spatial model of tumor growth with cell age, cell size, and mutation of cell phenotypes,, Math. Mod Nat. Phenom., 2 (2007), 69. doi: 10.1051/mmnp:2007004. 
[141] 
(with WY. Tan and W. Ke), A state space model for tumor growth and applications,, Comp. Math. Meth. Med., 10 (2009), 117. 
[142] 
(with J. Dyson and R. VillellaBressan), Global existence and boundedness of solutions to a model of chemotaxis,, Math. Mod. Nat. Phen., 3 (2008), 17. doi: 10.1051/mmnp:2008039. 
[143] 
(S. E. Wang, P. Hinow, N. Bryce, A. M. Weaver, L. Estrada and C. L. Arteaga), A mathematical model quantifies proliferation and motility effects of TGF$\beta$ on cancer cells,, Comp. Math. Meth. Med., 10 (2009), 71. doi: 10.1080/17486700802171993. 
[144] 
(with P. GomezMourelo, E. Sanchez and L. Casasus), A fully continuous individualbased model of tumor cell evolution,, Comptes Rendus Biologies, 31 (2008), 823. 
[145] 
(with E. D'Agata, M. A. Horn, R. Moellering and S. Ruan), Modeling the invasion of communityacquired methicillinresistant Staphylococcus aureus into the hospital setting,, Clin. Infect. Dis., 48 (2009), 274. 
[146] 
(with P. Hinow, F. LeFoll and P. Magal), Analysis of a model for transfer phenomena in biological populations,, SIAM J. Appl. Math., 70 (2009), 40. doi: 10.1137/080732420. 
[147] 
(with E. D'Agata, M. A. Horn, R. Moellering and S. Ruan), Competition of HospitalAcquired and CommunityAcquired MethicillinResistant Staphylococcus aureus Strains in Hospitals,, J. Biol. Dyn., 4 (2010), 115. doi: 10.1080/17513750903026411. 
[148] 
(with C. McCluskey and P. Magal), Liapunov functional and global asymptotic stability for an infectionage model,, Appl. Anal., 89 (2010), 1109. doi: 10.1080/00036810903208122. 
[149] 
(with B. Ayati, C. Edwards and J. Wikswo), A mathematical model of bone remodeling dynamics for normal and tumor bone cell populations,, published online, 5 (2010). 
[150] 
(with M. Blaser, YH. Hsieh and J. Wu), Presymptomatic influenza transmission, surveillance, and school closings,, Math. Mod. Nat. Phenom., 5 (2010), 191. doi: 10.1051/mmnp/20105312. 
[151] 
(with E. M. C. D'Agata and J. Pressley), Rapid emergence of cocolonization with communityacquired and hospitalacquired methicillinresistant Staphylococcus aureus strains in the hospital setting,, Math. Mod. Nat. Phenom., 5 (2010), 76. doi: 10.1051/mmnp/20105306. 
[152] 
(with J. Dyson, S. A. Gourley and R. VillellaBressan), Existence and asymptotic properties of solutions of a nonlocal evolution equation modelling cellcell adhesion,, SIAM J. Math. Anal., 42 (2010), 1784. doi: 10.1137/090765663. 
[153] 
(with E. M. C. D'Agata and J. Pressley), The effect of cocolonization with communityacquired and hospitalacquired methicillinresistant Staphylococcus aureus strains on competitive exclusion,, J. Theoret. Biol., 264 (2010), 645. 
[154] 
(with J. Pasquier, P. Magal, C. BoulangLecomte and F. Le Foll), Consequences of celltocell Pglycoprotein transfer on acquired multidrug resistance in breast cancer: A cell population dynamics model,, Biology Direct, 6 (2011). doi: 10.1186/1745615065. 
[155] 
(with A. Ducrot, F. LeFoll, P. Magal, H. Murakawa and J. Pasquier), An in vitro cell population dynamics model incorporating cell size, quiescence, and contact inhibition,, Math. Mod. Meth. Appl. Sci., 21 (2011), 871. doi: 10.1142/S0218202511005404. 
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(with D. T. Grima and E. M. C D'Agata), Mathematical model of the impact of a nonantibiotic treatment for Clostridium difficile on the endemic prevalence of vancomycinresistant enterococci in a hospital setting,, Comp. Math. Meth. Med., 2012 (2012). doi: 10.1155/2012/605861. 
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(with E. M. C. D'Agata, M. A. Horn, S. Ruan and J. R. Wares), Efficacy of infection control interventions in reducing the spread of multidrugresistant organisms in the hospital setting,, PLoS ONE, 7 (2012). doi: 10.1371/journal.pone.0030170. 
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(with J. Dyson and S.A. Gourley), A nonlocal evolution equation model of cellcell adhesion in higher dimensional space,, J. Biol. Dyn., 7 (2013), 68. doi: 10.1080/17513758.2012.755572. 
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(with M. Helal, E. Hingant, L. PujoMenjouet), Alzheimer's disease: Analysis of a mathematical model incorporating the role of prions,, J. Math. Biol., 69 (2014), 1207. doi: 10.1007/s0028501307320. 
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(with J. Dyson), A cell population model structured by cell age incorporating cellcell adhesion,, in Mathematical Oncology 2013 (Eds. A. d'Onofrio and A. Gandolfi), (2014), 109. doi: 10.1007/9781493904587_4. 
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(with M. J. Blaser), Host demise as a beneficial function of indigenous microbiota in human hosts,, mBio, 5 (2014), 02262. doi: 10.1128/mBio.0226214. 
show all references
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