Selected Publications
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B.Szomolay, I.Klapper, M.Dindos,
"Analysis of Adaptive Response to Dosing Protocols for Biofilm Control,"
SIAM Journal of Applied Mathematics 70, 3175-3202 (2010).
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I.Klapper, J. Dockery,
"Mathematical Description of Microbial Biofilms,"
SIAM Review 52, 221-265 (2010)
(pdf).
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T. Zhang, I.Klapper,
"Mathematical Model of Biofilm Induced Calcite Precipitation,"
Water Science & Technology 61, 2957-2964 (2010).
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I.Klapper, P.Gilbert, B.P.Ayati, J.Dockery, P.S.Stewart,
"Senescence Can Explain Microbial Persistence,"
Microbiology 153, 3623-3630 (2007)
(pdf).
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K. Xu, G. Forest, I.Klapper, "Reciprocity Relations Between
Stokes Flows of Viscous and Viscoelastic Fluids,"
J. Non-Newton. Fluid Mech. 145, 150-172 (2007)
(pdf).
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E. Alpkvist, I.Klapper,
"Description of Mechanical Response Including Detachment
Using a Novel Particle Method of Biofilm/Flow Interaction,"
Wat. Sci. Tech. 55, 265-273 (2007)
(pdf).
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B.P. Ayati, I.Klapper,
"A Multiscale Model of Biofilm as a Senescence-Structured Fluid,"
SIAM Multi. Model. Sim. 6, 347-365 (2007)
(pdf).
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E. Alpkvist, I.Klapper,
"A multidimensional multispecies continuum model for heterogenous
biofilm development,"
Bull. Math. Biol. 69, 765-789 (2007)
(pdf).
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I.Klapper, T.Shaw,
"A Large Jump Asymptotic Framework for Solving Elliptic and
Parabolic Equations with Interfaces and Strong Coefficient Discontinuities,"
Applied Numerical Mathematics 57, 657-671 (2007)
(pdf).
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I.Klapper, J.Dockery
"Role of Cohesion in Material Description of Biofilms,"
Phys. Rev. E 74, 031902 (2006)
(pdf).
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B.Szomolay, I.Klapper, J.Dockery, P.S.Stewart,
"Adaptive responses to antimicrobial agents in biofilms,"
Environ. Microbiol. 7, 1186-1191 (2005)
(pdf).
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T.Shaw, M.Winston,, C.J. Rupp, I.Klapper, P. Stoodley,
"Commonality of elastic relaxation times in biofilms,"
Phys. Rev. Lett. 93 098102 1-4 (2004)
(pdf).
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I.Klapper, "Effect of heterogeneous structure in mechanically unstressed
biofilms on overall growth,"
Bull. Math. Biol. 66, 809-824 (2004).
(pdf).
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I.Klapper, "Long time behavior of magnetic field in two dimensions,"
Proc. R. Soc. Lond. A 459, 1053-1062 (2003).
(pdf).
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D.W.Longcope, I.Klapper,
"A general theory of connectivity and current sheets in coronal
magnetic fields anchored to discrete sources,"
Astrophys. J. 579, 468-481 (2002).
(pdf).
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I.Klapper, C.J. Rupp, R. Cargo, B. Purvedorj, P. Stoodley,
"A Viscoelastic Fluid Description of Bacterial Biofilm
Material Properties,"
Biotech. Bioeng. 80, 289-296 (2002)
(pdf).
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J.Dockery and I.Klapper, "Finger formation in biofilm layers,"
SIAM J. Appl. Math. 62, 853-869 (2002)
(pdf).
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T.Y.Hou, I.Klapper and H.Si, "Removing the Stiffness of Curvature in
Computing 3-D Filaments,"
J. Comp. Phys., 143, 628-664 (1998)
(pdf).
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I.Klapper and H.Qian, "Remarks on Discrete and Continuous Large-Scale
Models of DNA Dynamics,"
Biophys. J., 74, 2504-2514 (1998)
(pdf).
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I.Klapper, "Constraints on finite-time current sheet formation at
null points in two-dimensional ideal incompressible magnetohydrodynamics,"
Phys. Plasmas 5, 910-914, (1998)
(pdf).
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D.W. Longcope and I.Klapper, "Dynamics of a thin twisted flux tube,''
Astrophys. J. 488, 443-453 (1997)
(pdf).
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I.Klapper,
"Biological Applications of the Dynamics of Twisted Elastic Rods,"
J. Comp. Phys. 125, 325-337 (1996).
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I.Klapper & L.S.Young, "Rigorous bounds on the fast dynamo growth rate
involving topological entropy," Comm. Math. Phys. 173,
623-646 (1995)
(pdf).
There are three infallible ways of pleasing an author, the
three form a rising scale of compliment: 1, to tell him
you have read one of his books; 2, to tell him you have
read all of his books; 3, to ask him to read the manuscript
of his forthcoming book. No. 1 admits you to his respect;
No. 2 admits you to his admiration; No. 3 carries you clear to
his heart.
Mark Twain