Selected Publications

1. I.Klapper, J. Dockery, "Mathematical Description of Microbial Biofilms," to appear, SIAM Review (2009) (pdf).
   
   
2. I.Klapper, P.Gilbert, B.P.Ayati, J.Dockery, P.S.Stewart, "Senescence Can Explain Microbial Persistence," Microbiology 153, 3623-3630 (2007) (pdf).
   
   
3. 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).
   
   
4. 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).
   
   
5. B.P. Ayati, I.Klapper, "A Multiscale Model of Biofilm as a Senescence-Structured Fluid," SIAM Multi. Model. Sim. 6, 347-365 (2007) (pdf).
   
   
6. E. Alpkvist, I.Klapper, "A multidimensional multispecies continuum model for heterogenous biofilm development," Bull. Math. Biol. 69, 765-789 (2007) (pdf).
   
   
7. 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).
   
   
8. I.Klapper, J.Dockery "Role of Cohesion in Material Description of Biofilms," Phys. Rev. E 74, 031902 (2006) (pdf).
   
   
9. B.Szomolay, I.Klapper, J.Dockery, P.S.Stewart, "Adaptive responses to antimicrobial agents in biofilms," Environ. Microbiol. 7, 1186-1191 (2005) (pdf).
   
   
10. 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).
    
    
11. I.Klapper, "Effect of heterogeneous structure in mechanically unstressed biofilms on overall growth," Bull. Math. Biol. 66, 809-824 (2004). (ps/pdf).
    
    
12. I.Klapper, "Long time behavior of magnetic field in two dimensions," Proc. R. Soc. Lond. A 459, 1053-1062 (2003). (ps/pdf).
    
    
13. 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).
    
    
14. 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) (ps/pdf).
    
    
15. J.Dockery and I.Klapper, "Finger formation in biofilm layers," SIAM J. Appl. Math. 62, 853-869 (2002).
    
    
16. 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).
    
    
17. I.Klapper and H.Qian, "Remarks on Discrete and Continuous Large-Scale Models of DNA Dynamics," Biophys. J., 74, 2504-2514 (1998).
    
    
18. I.Klapper, "Constraints on finite-time current sheet formation at null points in two-dimensional ideal incompressible magnetohydrodynamics," Phys. Plasmas 5, 910-914, (1998).
    
    
19. D.W. Longcope and I.Klapper, "Dynamics of a thin twisted flux tube,'' Astrophys. J. 488, 443-453 (1997).
    
    
20. I.Klapper, "Biological Applications of the Dynamics of Twisted Elastic Rods," J. Comp. Phys. 125, 325-337 (1996).
    
    
21. I.Klapper & L.S.Young, "Rigorous bounds on the fast dynamo growth rate involving topological entropy," Comm. Math. Phys. 173, 623-646 (1995).
    
    

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.