College of Arts and Science Vanderbilt University
Vanderbilt Univeristy College of Arts and Science
Department of

Mathematics

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Glenn F. Webb

Publications

(with J. Dyson and S.A. Gourley), A nonlocal evolution equation model of cell-cell adhesion in higher dimensional space, accepted for publication in J. Biol. Dyn.

(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 multidrug-resistant organisms in the hospital setting, PLoS ONE, Vol. (2), 2012.

(with P. Gabriel, S. Garbett, D. Tyson, and V. Quaranta) The contribution of age structure to cell population responsesto targeted therapeutics, J. Theoret. Biol. 311 (2012), 19-27.

(with J. Pasquier, L. Galas, C. Boulangé-Lecomte, D. Rioult, F. Bultelle, P. Magal, and F. Le Foll), Tunneling nanotubes and released microparticles both contribute to extragenetic cell-to-cell p-glycoprotein transfers in mcf-7 breast cancer cells, J. Biol. Chem. (2012), 7373-7387.

(with D.T. Grima and E.M.C D'Agata), Mathematical Model of the Impact of a Non-Antibiotic Treatment for Clostridium difficile on the Endemic Prevalence of Vancomycin-Resistant Enterococci in a Hospital Setting, Comp. Math. Meth. Med. (2012), doi:10.1155/2012/605861.

R0, Hektoen International Journal, Vol.3, No.4 (2011) http://www.hektoeninternational.org/.

(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. Vol.21 (2011), DOI No: 10.1142/S0218202511005404, 871-892.

Event based interpretation of Schrodinger’s equation for the two-slit experiment, published online July 2, 2011, Int. J. Theor. Phys., DOI No: 10.1007/s10773-011-0866-z.

(with J.Pasquier, P. Magal, C. Boulangé-Lecomte, and F. Le Foll), Consequences of cell-to-cell P-glycoprotein transfer on acquired multidrug resistance in breast cancer: a cell population dynamics model, published online, January 26, 2011, Biology Direct.
(with M. Blaser, Y-H. Hsieh, and J. Wu), Pre-symptomatic influenza transmission, surveillance, and school closings, published online, April 28, 2010, Math. Mod. Nat. Phen.

(with E.M.C. D’Agata and J. Pressley), Rapid emergence of co-colonization with community-acquired and hospital-acquired methicillin-resistant Staphylococcus aureus strains in the hospital setting, published online, April 28, 2010, Math. Mod. Nat. Phen.

(with J. Dyson, S.A. Gourley, and R. Villella-Bressan), Existence and asymptotic properties of solutions of a nonlocal evolution equation modelling cell-cell adhesion, SIAM J. Math. Anal., Vol. 42, No. 4 (2010), 1784-1804.

(with E.M.C. D’Agata and J. Pressley), The effect of co-colonization with community-acquired and hospital-acquired methicillin-resistant Staphylococcus aureus strains on competitive exclusion, J. Theoret. Biol., Vol. 264 (2010), 645-656.

(with B. Ayati, C. Edwards, and J. Wikswo), A mathematical model of bone remodeling dynamics for normal and tumor bone cell populations, published online, Biology Direct, 5:28 (2010).

(with C. McCluskey and P. Magal), Liapunov functional and global asymptotic stability for an infection-age model, Appl. Anal. Vol. 89, No. 7 (2010), 1109-1140.

(with E. D’Agata, M.A. Horn, R. Moellering, and S. Ruan), Competition of Hospital-Acquired and Community-Acquired Methicillin-Resistant Staphylococcus aureus Strains in Hospitals, J. Biol. Dyn., Vol. 4, No. 1 (2010), 115-129.

(with P. Hinow, F. LeFoll, and P. Magal), Analysis of a model for transfer phenomena in biological populations, SIAM J. Appl. Math, Vol.70, No.1 (2009), 40-62.

(with E. D’Agata, M.A. Horn, R. Moellering, and S. Ruan), Modeling the invasion of community-acquired methicillin-resistant Staphylococcus aureus into the hospital setting, Clin. Infect. Dis., Vol.48 (2009).

(S. E. Wang, P. Hinow, N. Bryce, A. M. Weaver, L. Estrada, C. L. Arteaga), A mathematical model quantifies proliferation and motility effects of TGF-Betaon cancer cells, Comp. Math. Meth. Med., Vol. 10, No.1 (2009), 71-83.

(with W-Y. Tan and W. Ke), A state space model for tumor growth and applications, Comp. Math. Meth. Med., (2009).

(with P. Gomez-Mourelo, E. Sanchez, and L. Casasus), A fully continuous individual-based model of tumor cell evolution, Comptes Rendus Biologies, Vol.31, No.11 (2008), 823-836.

(with J. Dyson and R. Villella-Bressan), Global existence and boundedness of solutions to a model of chemotaxis, Math. Mod. Nat. Phen., Vol.3, No.7 (2008), 17-35.

(with J. Dyson and R. Villella-Bressan), A spatial model of tumor growth with cell age, cell size, and mutation of cell phenotypes, Math. Mod Nat. Phen., Vol.2, No.3 (2008), 69-100.

(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. (2007), 4:14.

Population models structured by age, size, and spatial position, in Structured Population Models in Biology and Epidemiology, Lecture Notes in Mathematics Vol. 1936, Springer-Verlag, Berlin-New York, 2008, 1-49.

(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., Vol. 68, No. 1 (2007), 154-170.

(with J. Dyson and R. Villella-Bressan), A spatial model of tumor growth with cell age, cell size, and mutation of cell phenotypes, Math. Mod Nat. Phen., Vol.2, No.3 (2008), 69-100.

(with E.D'Agata and M.A. Horn) Quantifying the impact of bacterial fitness and repeated antimicrobial exposure on the emergence of multidrug-resistant gram-negative bacilli, Math. Mod. Nat. Phen., Vol.2, No.1 (2007), 115-124.

(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., Vol. 249 (2007), 487-499.

(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, J. Theoret. Med. Mod., published online, Apr. 3 (2007).

(with J. Dyson, R. Villella-Bressan, and E. Sanchez), An age and spatially structured model of tumor invasion with haptotaxis, Discr. Cont. Dyn. Sys. B, Vol. 8, No. 1 (2007), 45-60.

(with J. Dyson and R. Villella-Bressan), An age and spatially structured model of tumor invasion with haptotaxis II, Math. Pop. Studies, Vol. 15 (2008), 1-23.

(with C. Walker) Global Existence of classical solutions for a haptoaxis model, SIAM J. Math. Anal., Vol. 38 (2006), 1694-1713.

(with H. Engler and J. Pruss) Analysis of a model for the dynamics of Prions II, J. Math. Anal. Appl., Vol. 324 (2006), 98-117.

(with J. Pruss, L. Pujo-Menjouet, and R. Zacher) Analysis of a model for the dynamics of Prions, Discr. Cont. Dyn. Sys. - Ser. B, Vol. 6 No. 1, (2006), 215-225.

(with B. Ayati and A.R.A. Anderson) Computational methods and results for structured multiscale models of tumor invasion, SIAM Multiscale Mod. Simul., Vol. 5 (2006), 1-20.

(with E.M.C. D'Agata, P. Magal, and S. Ruan) Asymptotic behavior in nonsocomial epidemic models with antibiotic resistance, Dif. Int. Eqs. Vol. 19, No. 5 (2006), 573-600

(with E.M.C. D’Agata, P. Magal, and
S. Ruan ) A model of antibiotic resistant bacterial epidemics in hopsitals, Proc. Natl. Acad. Sci., Vol. 102, No. 37, (2005), 13343-13348.

Being prepared: Modeling the response to an anthrax attack, Ann. Int. Med., Vol. 142, No. 8, (2005), 667-668.

(with M. Greer and L. Pujo-Menjouet) A mathematical analysis of the dynamics of prion proliferation, J. Theor. Biol. Vol. 242 (2006), 598-606.

(with E. D'Agata and M.A. Horn) A mathematical model quantifying the impact of antibiotic exposure, surveillance cultures, and other interventions on the prevalnce of vancomycin-resistant enterococci, J. Infect. Dis. Vol. 192 (2005), 2004-2011.

(with J. Dyson, R. Villella-Bressan, and E. Sanchez) Stabilization of telomeres in nonlinear models of proliferating cell lines, available online, Sept. 16 2006, J. Theoret. Biol.

(with J. Dyson and R. Villella-Bressan) Asymptotic behavior of solutions to abstract logistic equations, available online 7 October 2005 in Math. Biosci.

(with J. Dyson and R. Villella-Bressan) The evolution of a tumor cord cell population, Comm. Pure Appl. Anal. Vol. 3, No. 3 (2004), 331-352.

(with M. Blaser, H. Zhu, S. Ardal , and J. Wu) Critical role of nosocomial transmission in the Toronto SARS outbreak, Math. Biosci. Eng. Vol. 1.No. 1(2004), 1-13.

(with Seema Bajaria and Denise Kirschner) Predicting differential responses to structured treatment interruptions during HAART, Bull. Math. Biol. Vol.6, No. 5 (2004), 1093-1118.

Structured population dynamics, Banach Center Publications, Polish Academy of Sciences , Institute of Mathematics, Mathematical Modelling of Population Dynamics, Vol. 63 (2004), 123-163.

(with J. Dyson and R. Villella-Bressan) The steady state of a maturity structured tumor cord cell population, Discr. Cont. Dyn. Sys.B, Vol.4, No.1 (2004), 115-134.

(with J. Dyson and R. Villella-Bressan) A semilinear transport equation with delays, Int. J. Math. Math. Sci. Vol. 6, No. 32 (2003), 2011-2026.

The silent bomb: The risk of anthrax as a weapon of mass destruction, Proc. Nat. Acad. Sci. Vol. 100, No. 8 (2003), 4355-4356.

(with R. Culshaw and S.Ruan) A mathematical model of cell-to-cell spread of HIV that includes a time delay, J. Math. Biol. 46 (2003), 425-444.

(with M. Blaser) Mailborne transmission of anthrax: Modeling and implications, Proc. Natl. Acad. Sci. Vol. 99, No. 10 (2002), 7027-7032

The steady state of a tumor cord cell population, J. Evol. Eqs. Vol. 2, No.4 (2002), 425-438.

(with E. D’Agata and M.A. Horn) The impact of persistent gastrointestinal colonization on the transmission dynamics of vancomycin-resistant enterococci, J. Infect. Dis. Vol. 185 (2002), 766-773.

(with Seema Bajaria, Miles Cloyd and Denise Kirschner) Dynamics of naïve and memory CD4+ T lymphocytes in HIV-1 disease progression, J. AIDS, Vol. 30 (2002), 41-58.

(with J. Dyson and R. Villella-Bressan) Asynchronous exponential growth in an age structured population of proliferating and quiescent cells, Math. Biosci.,Vol. 177-178 (2002), 73-83.

(with M. Blaser) Dynamics of bacterial phenotype selection in a colonized host, Proc. Natl. Acad. Sci. Vol. 99, No. 5 (2002), 3313-3140.

The prime number periodical cicada problem, Discr. Cont. Dyn. Sys., Series B, Vol. 1, No.3 (2001), 387-399.

(with P. Magal) Mutation, Selection, and Recombination in a Model of Phenotype Evolution, Discr. Cont. Dyn. Sys. Vol. 6, No. 1 (2000), 221-236.

(with J. Dyson and R. Villella-Bressan) A Nonlinear age and maturity structured model of population dynamics. II. Chaos, J. Math. Anal. Appl. Vol. 242 (2000), 255-270.

(with J. Dyson and R. Villella-Bressan) A Nonlinear age and maturity structured model of population dynamics. I. Basic Theory, J. Math. Anal. Appl. Vol. 242 (2000), 93-104.

(with Miles Cloyd and Denise Kirschner) A Model of HIV-1 Disease Progression Based on Virus-Induced Lymph Node Homing and Homing-induced Apoptosis of CD4+ Lymphocytes, J. AIDS Vol.24 (2000), 352-362.

(with J. Dyson and R. Villella-Bressan) A maturity structured model of a population of proliferating and quiescent cells, Archives of Control Sciences, Vol. 9 (XLV) No. 1-2 (1999), 201-225.

(with Li Zhou, Yiping Fu, Mengxing He, and Kaitai Song) Solutions of a Class of First Order Partial Differential Equations with Delay, Proceedings of the Conference on Nonlinear Partial Differential Equations and Applications, Chongquing University, P.R. China, May 26-31, 1997, World Scientific Press, Singapore, 1998, 251- 255.

(with J. Dyson and R. Villella-Bressan) An age and maturity structured model of cell population dynamics, Mathematical Models in Medical and Health Science, Proceedings of the Conference on Mathematical Models in Medical and Health Sciences, Vanderbilt University Press, 1999, 99-116.

(with Denise Kirschner) Immunotherapy of HIV infection, Journal of Biological Systems Vol. 6, No.1 (1998), 71-83.

(with O. Arino and E. Sanchez) Necessary and sufficient conditions for asynchronous exponential growth in age structured cell populations with quiescence, J. Math. Anal. Appl., Vol. 215 (1997), 499-513.

(with Denise Kirschner) Qualitative differences in HIV chemotherapy between resistance and remission outcomes, Emerging Infectious Diseases, Vol.3, No.3, (1997), 273-283.

(with W.E. Fitzgibbon, J. Morgan, and M.E. Parrott) An age dependent regularization of Martin’s problem, Reaction Diffusion Systems, Lecture Notes in Pure and Applied Mathematics Series 194, Marcel Dekker, Inc., 1998.

(with Denise Kirschner) A mathematical model of combined drug therapy of HIV infection, Journal of Theoretical Medicine. Vol. 1 (1997), 25-34.

(with Denise Kirschner) Understanding drug resistance for monotherapy treatment of HIV infection, Bull. Math. Biol., Vol. 59, No.4 (1997), 763-785.

(with J. Dyson and R. Villella-Bressan) Hypercyclicity of a transport equation with delays, J. Nonl. Anal. Theory Meth. Appl., Vol. 29, No. 12 (1997), 1343-1351.

(with W.E. Fitzgibbon, J. Morgan, and M.E. Parrott) Drug resistance in diffusive epidemic population models, Advances in Mathematical Population Dynamics - Molecules, Cells and Man, Series in Mathematical Biology and Medicine, Vol.6, World Scientific Press, 1998, 613-628.

(with W.E. Fitzgibbon and M.E. Parrott) A diffusive age-structured SEIRS epidemic model, Methods and Applications of Analysis., Vol. 3, No. 3 (1996), 358-369.

(with O. Arino and E. Sanchez) Polynomial growth of telomere loss in a heterogenous cell population, Dynamics of Continuous, Discrete, and Impulsive Systems, Vol.3, No.3 (1997), 263-282.

(with J. Dyson and R. Villella-Bressan) A singular transport equation modelling a proliferating maturity structured cell population, Canadian Appl. Math. Quart., Vol.4, No.1 (1996), 65-95.

(with O. Arino and M. Kimmel) Mathematical modelling of the loss of telomere sequences, J. Theoretical Biology, 177 (1995), 45-57.

(with W.E. Fitzgibbon), M. Langlais and M.E. Parrott) A diffusive system with age dependence modeling FIV, J. Nonl. Anal. Theory Meth. Appl., Vol.25 (1995), 975-989.

(with W. Desch and W. Schappacher ) Hypercyclic and chaotic semigroups of linear operators, Ergodic Theory and Dynamical Systems 17, (1997), 1-27.

(with W.E. Fitzgibbon and M.E. Parrott) A diffusive epidemic model for a host-vector system, Differential Equations and Applications to Biology and to Industry, World Scientific Press, 1996, 401-408.

(with M. Johnson) Resonances in age structured cell population models of periodic chemotherapy, Internat. J. Appl. Sci. Comp., Vol 3, No. 1 (1996), 57-67.

(with Denise Kirschner) A model for treatment strategy in the chemotherapy of AIDS, Bull. Math. Biol., Vol.58, No.2 (1996), 367-390.

Periodic and chaotic behavior in structured models of cell population dynamics, Recent Developments in Evolution Equations, Pitman Res. Notes Math. Series. 324 (1995), 40-49.

(with W.E. Fitzgibbon and M.E. Parrott) Diffusive epidemic models with spatial and age dependence, Discrete and Continuous Dynamical Systems, Vol. 1, No. 1 (1995), 35-58.

(with W.E. Fitzgibbon and M.E. Parrott) Diffusion epidemic models with incubation and crisscross dynamics, Math. Biosci., Vol.128, No. 1-2 (1995), 131-155.

Growth bounds of solutions of abstract nonlinear differential equations, Dif. Int. Eqs. 7 (1994), 1145-1152.

Resonances in periodic chemotherapy scheduling, Proceedings of the First World Congress of Nonlinear Analysts, Tampa, Florida, 1992, Ed. V Lakshmikantham, De Gruyter Publ. (1996), 3463-3474.

Asynchronous exponential growth in differential equations with asymptotically homogeneous nonlinearities, Adv. Math. Sci. Appl., Vol. 3 (19933/94), pp.43-55.

Convexity of the growth bound of C0-semigroups of operators, Semigroups of Linear and Nonlinear Operators and Applications, Kluwer Academic Publishers, 1993, 259-270.

A nonlinear cell population model of periodic chemotherapy treatment, Recent Trends in Ordinary Differential Equations, Series in Applicable Analysis, World Scientific Publishing Company, 1992, 569-583.

Asynchronous exponential growth in differential equations with homogeneous nonlinearities, Differential Equations in Banach Spaces, Lecture Notes in Pure and Applied Mathematics Series, Vol. 148, Marcel Dekker, New York, 1993, 225-233.

A cell population model of periodic chemotherapy treatment, Biomedical Modeling and Simulation, Elsevier Science Publishers, 1992, 83-92.

(with M. Gyllenberg) Asynchronous exponential growth of semigroups of nonlinear operators, J. Math. Anal. Appl. 167, No. 2(1992), 443-467.

(with M. Gyllenberg) Quiescence in structured population dynamics: Applications to tumor growth, Proceedings of the 2nd International Conference on Mathematical Population Dynamics, Lecture Notes in Pure and Applied Mathematics Series, Vol. 131, Marcel Dekker, New York,1991, 45-62.

(With M. Gyllenberg) A nonlinear structured population model of tumor growth with quiescence, J. Math. Biol. 28(1990), 671-694.

(with M. Gyllenberg) Quiescence as an explanation of Gompertzian tumor growth, Growth, Development, and Aging 53(1989), 25-33.

Semigroup methods in populations dynamics: Proliferating cell populations, Semigroup Theory and Applications, Lecture Notes in Pure and Applied Mathematics Series,Vol. 116, Marcel Dekker, New York , 1989, 441-449.

Resonance phenomena in cell population chemotherapy models, Rocky Mountain J. Math. 20, No. 4(1990), 1195-1216.

(with D. Hardin and P. Takac) Dispersion population models discrete in time and continuous in space, J. Math. Biol. 28(1990), 1-20.

(with D. Hardin and P Takac) Asymptotic properties of a continuous-space discrete-time populations model in a random environment, J. Math. Biol. 26(1988), 361-374.

Alpha and beta curves, sister-sister and mother-daughter correlations in cell population dynamics, Internal J. Comput. Math. Appl. 18, No. 10/11(1989), 973-984.

(with D. Hardin and P. Takac) A comparison of dispersal strategies for survival of spatially heterogeneous populations, SIAM J. Appl. Math. 48(1988), 1396-1423.

(with C. Chyan) A probabilistic model of proliferating cell populations with correlation of mother-daughter mitotic times, Ann. Mat. Pura. Appl., Serie 4, 158(1991), 1-11.

Random transitions, size control, and inheritance in cell population dynamics, Math. Biosci. 85, No. 1(1987), 71-91.

(with M. Gyllenberg) Age-size structure in populations with quiescence, Math. Biosci. 86(1987), 67-95.

Dynamics of structured populations with inherited properties, Internat. J. Comput. Math..Appl. 13(1987), 749-757.

(with A. Grabosch) Asynchronous exponential growth in transition probability models of the cell cycle, SIAM J. Math. Anal. 18, No. 4 (1987), 897-907.

An operator-theoretic formulation of asynchronous exponential growth, Trans. Amer. Math. Soc., 303, No. 2 (1987), 751-763.

A model of proliferating cell populations with inherited cycle length, J. Math. Biol.23(1986), 269-282.

(with E. Sinestrari ) Nonlinear hyperbolic systems with nonlocal boundary conditions, J. Math. Anal. Appl. 121(1987), 49-464.

Logistic models of structured population growth, Internat. J. Comput. Math. Appl. 12A, Nos 4/5 (1986), 527-539.

Dynamics of populations structured by internal variables, Mathematische Zeitschrift Vol. 189, No. 3 (1985), 319-335.

A semigroup proof of the Sharpe-Lotka Theorem, Infinite-Dimensional Systems, Proceedings, Retzhof 1983, Lecture Notes in Mathematics Vol. 1076, Springer-Verlag (1984), 254-268.

(with K. Kunisch and W. Schappacher ) Nonlinear age-dependent population dynamics with random diffusion, Internat. J. Comput. Math. Appl. 11, Nos. 1-3(1985), 155-173.

(with R.Villella-Bressan) Nonautonomous functional equations and nonlinear evolution operators, Rend. Sem. Mat. Univ. Padova Vol. 71 (1984), 177-194.

The semigroup associated with nonlinear age-dependent population dynamics, Internat. J. Comput. Math. Appl. 9, No. 3 (1983), 487-497.

Nonlinear age-dependent population dynamics in L1, J. Integral Equations 5, No. 4 (1983), 309-328.

Nonlinear age-dependent population dynamics with continuous age distributions, Proceedings of the Conference on Differential Equations and Applications, Schloss Retzhof, Austria, Research Notes in Mathematics Vol. 68, Pitman, Boston (1982), 274-294.

Diffusive age-dependent population models and an application to genetics, Math. Biosc., 61(1982), 1-16.

A genetics model with age-dependence and spatial diffusion, Proceedings of the Conference on Differential Equations and Applications to Ecology, Epidemics, and Population Problems, Harvey Mudd College, Claremont, California, Academic Press, 1981, 29-40.

Nonlinear semigroups and age-dependent population models, Annali di Mathematica Pura ed Applicata, Vol. CXXIX (1981), 43-55.

A recovery-relapse epidemic model with spatial diffusion, J. Math. Biol. 14(1982), 177-194.

An age-dependent epidemic model with spatial diffusion, Arch. Rat. Mech.75(1980), 91-102.

(with M. Badii) representation of solutions of functional differential equations with time-dependent delays, Houston J. Math. Vol. 6, No. 4 (1981) 544-577.

(with M. Badii) Nonlinear nonautonomous functional differential equations in Lp spaces, Nonlinear Analysis Vol. 5, No 1 (1981), 203-223.

A deterministic diffusive epidemic model with an incubation period, Proceedings of the Functional Differential Equations and Intergral Equations Conference, West Virginia University, June 18-20, 1979, Marcel Dekker, New York, 1981, 119-135.

A reaction-diffusion model for a deterministic diffusive epidemic, J. Math. Anal. Appl. 84(1981), 150-161.

Compactness of bounded trajectories of dynamical systems in infinite dimensional spaces, Proceedings of the Royal Society of Edinburgh, 84A(1979), 19-33.

Existence and asymptotic behavior for a strongly damped nonlinear wave equation, Canadian J. Math. Vol. 32, No. 3 (180), 631-643.

A representation formula for strongly continuous cosine families, Aequationes Mathematicae 21(1980), 251-256.

Abstract Volterra integrodifferential equations and a class of reaction- diffusion equations, Voleterra Equations, Proceedings, Otaniemi , Finland 1978, Lecture Notes in Mathematics , Vol. 737, Springer-Verlag 1979.

(with C. Travis) Second order differential equations in Abstract Spaces, Proceedings of the Symposium on Nonlinear Equations in Abstract Spaces, Academic Press, New York , 1978, 331-361.

A bifurcation problem for a nonlinear hyperbolic partial differential equation, SIAM J. Math. Anal. (1979), 922-932.

(with C. Travis) Perturbations of strongly continuous cosine family generators, Colloquium Mathematicum Vol. XLV (1981), 277-285.

(with C. Travis) An abstract second order semilinear Volterra intergrodifferential equation, SIAM J. Math. Anal. 10(1979), No. 2, 412-424.

(with G. Reddien) Numerical approximation of nonlinear functional differential equations with L2 initial functions, SIAM J. Math Anal. 9(1978), No. 6, 1151-1171.

An abstract semilinear Volterra intergrodifferential equation, Proc. Amer. Math.Soc. 60 (1978), 255-260.

(with C. Travis) Cosine families and abstract nonlinear second order differential equations, Acta Mathematica 32(3-4) (1978), 75-96.

(with C. Travis) Existence, stability, and compactness in the a-norm for partial functional differential equations, Trans. Amer. Math. Soc. 240(1978), 129-143.

(with C. Travis) Compactness, regularity, and uniform continuity properties of strongly continuous cosine families, Houston J. Math. 3(1977), 555-567.

Volterra integral equations as functional differential equations on infinite intervals, Hiroshima Math. J. 7(1977), 61-70.

Volterra integral equations and nonlinear semigroups, Nonl. Anal. Theory Math. Appl. 1(1977), 415-427.

Asymptotic stability in the a-norm for an abstract nonlinear Volterra integral equation, Stability of Dynamical Systems, Theory and Applications, Vol. 28, Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, New York, 1977, 207-211.

Exponential representation of solutions to an abstract semi-linear differential equations, Pacific J. Math. 70(1977), 269- 279.

Regularity of solutions to an abstract inhomogeneous linear differential equations, Proc. Amer. Math. Soc. 62(1977), 272-277.

(with C. Travis) Existence and stability for partial functional differential equations,Dynamical Systems, Vol. 2 International Symposium, Academic Press, New York, 1976, 147-151.

(with G. Reddien) Boundary value problems for functional differential equations with L2 initial functions, Trans. Amer. Math. Soc. 223(1976), 305-321.

Linear functional differential equations with L2 initial functions, Funkcialaj Ekvacioj. 19(1976), 65-77.

(with C. Travis) Partial differential equations with deviating arguments in the time variable, J. Math. Anal. Appl. 56(1976) 397-409.

Functional differential equations and nonlinear semigroups in LP spaces, J. Differential Equations 20(1976), 71-89.

Asymptotic stability for abstract nonlinear functional differential equations, Proc.Amer. Math. Soc. 54(1976), 71-89.

(with C. Travis) Existence and stability for partial functional differential equations, Trans. Amer. Math. Soc. 200(1974), 395-418.

(with H. Riedl) Relative boundedness conditions and the perturbation of nonlinear operators, Czechoslovak Math. J. 24(1974), 395-418.

An application of accretive operator theory to a nonlinear complex heat equation, Bollettino dell Unione Mathematica Italiana 11(1975), 604-609.

Abstract scattering for nonlinear evolution equations, Math. Systems Theory 8(1975), 347-352.

Autonomous nonlinear functional differential equations and nonlinear semigroups, J. Math. Anal. Appl. 46(1974), 1-12.

Accretive operators and existence for nonlinear functional differential equations, J. Differential Equations 14(1973), 57-69.

Nonlinear perturbation of linear accretive operators in Banach spaces, Israel J. Math. 12(1972), 237-248.

Dual spaces of spaces of quasi-continuous functions, Mathematische Nachrichten 55(1973), 309-323.

Continuous nonlinear perturbations of linear accretive operators in Banach spaces, J. Functional Analysis 10(1972), 191-201.

Nonlinear evolution equations and product stable operator on Banach spaces, Trans. Amer. Math. Soc. 148(1970), 409- 426.

Product integral representation of time dependent nonlinear evolution equations in Banach spaces. Pacific J. Math. 32 (1970).

Nonlinear evolution equations and product integration in Banach spaces, Trans. Amer. Math. Soc. 148(1970), 273-282.

Representation of nonlinear nonexpansive semi-groups of transformations in Banach spaces, J. Math. Mech. 19 (1969), 159-170.

(with J. Pasquier, L. Galas, C. Boulangé-Lecomte, D. Rioult, F. Bultelle, P. Magal, and F. Le Foll), Tunneling nanotubes and released microparticles both contribute to extragenetic cell-to-cell p-glycoprotein transfers in mcf-7 breast cancer cells, accepted for publication in J. Biol. Chem.

(with P. Gabriel, S. Garbett, D. Tyson, and V. Quaranta) The contribution of age structure to cell population responses to targeted therapeutics, accepted for publication in J. Theoret. Biol.

R0, Hektoen International Journal, Vol.3, No.4 (2011) http://www.hektoeninternational.org/.

(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 multidrug-resistant organisms in the hospital setting, PLoS ONE, Vol. (2), 2012.