David Chopp - Publications

Affiliations: 
Applied Mathematics Northwestern University, Evanston, IL 
Area:
Mathematics

22/53 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2022 Ford N, Fisher G, Prindle A, Chopp D. Correction to: A Two-Dimensional Model of Potassium Signaling and Oscillatory Growth in a Biofilm. Bulletin of Mathematical Biology. 84: 45. PMID 35181829 DOI: 10.1007/s11538-022-01003-9  0.308
2021 Ford N, Fisher G, Prindle A, Chopp D. A Two-Dimensional Model of Potassium Signaling and Oscillatory Growth in a Biofilm. Bulletin of Mathematical Biology. 83: 60. PMID 33856558 DOI: 10.1007/s11538-021-00887-3  0.334
2020 Ford N, Chopp D. A Dimensionally Reduced Model of Biofilm Growth Within a Flow Cell. Bulletin of Mathematical Biology. 82: 40. PMID 32166519 DOI: 10.1007/S11538-020-00715-0  0.48
2016 Kublik RA, Chopp DL. A locally adaptive time stepping algorithm for the solution to reaction diffusion equations on branched structures Advances in Computational Mathematics. 1-29. DOI: 10.1007/S10444-015-9437-9  0.609
2015 Li X, Song JL, Culotti A, Zhang W, Chopp DL, Lu N, Packman AI. Methods for characterizing the co-development of biofilm and habitat heterogeneity. Journal of Visualized Experiments : Jove. PMID 25866914 DOI: 10.3791/52602  0.346
2014 Merkey BV, Chopp DL. Modeling the impact of interspecies competition on performance of a microbial fuel cell. Bulletin of Mathematical Biology. 76: 1429-53. PMID 24824851 DOI: 10.1007/S11538-014-9968-0  0.726
2013 Tseng BS, Zhang W, Harrison JJ, Quach TP, Song JL, Penterman J, Singh PK, Chopp DL, Packman AI, Parsek MR. The extracellular matrix protects Pseudomonas aeruginosa biofilms by limiting the penetration of tobramycin. Environmental Microbiology. 15: 2865-78. PMID 23751003 DOI: 10.1111/1462-2920.12155  0.314
2012 Merkey BV, Chopp DL. The performance of a microbial fuel cell depends strongly on anode geometry: a multidimensional modeling study. Bulletin of Mathematical Biology. 74: 834-57. PMID 22015479 DOI: 10.1007/S11538-011-9690-0  0.728
2010 Vaughan BL, Smith BG, Chopp DL. The influence of fluid flow on modeling quorum sensing in bacterial biofilms. Bulletin of Mathematical Biology. 72: 1143-65. PMID 20146020 DOI: 10.1007/S11538-009-9485-8  0.699
2009 Merkey BV, Rittmann BE, Chopp DL. Modeling how soluble microbial products (SMP) support heterotrophic bacteria in autotroph-based biofilms. Journal of Theoretical Biology. 259: 670-83. PMID 19481097 DOI: 10.1016/J.Jtbi.2009.05.010  0.71
2009 Duddu R, Chopp DL, Moran B. A two-dimensional continuum model of biofilm growth incorporating fluid flow and shear stress based detachment. Biotechnology and Bioengineering. 103: 92-104. PMID 19213021 DOI: 10.1002/Bit.22233  0.379
2008 Rempe MJ, Spruston N, Kath WL, Chopp DL. Compartmental neural simulations with spatial adaptivity. Journal of Computational Neuroscience. 25: 465-80. PMID 18459041 DOI: 10.1007/S10827-008-0089-3  0.712
2008 Duddu R, Bordas S, Chopp D, Moran B. A combined extended finite element and level set method for biofilm growth International Journal For Numerical Methods in Engineering. 74: 848-870. DOI: 10.1002/Nme.2200  0.305
2007 Kirisits MJ, Margolis JJ, Purevdorj-Gage BL, Vaughan B, Chopp DL, Stoodley P, Parsek MR. Influence of the hydrodynamic environment on quorum sensing in Pseudomonas aeruginosa biofilms. Journal of Bacteriology. 189: 8357-60. PMID 17704224 DOI: 10.1128/Jb.01040-07  0.701
2006 Rempe MJ, Chopp DL. A predictor-corrector algorithm for reaction-diffusion equations associated with neural activity on branched structures Siam Journal On Scientific Computing. 28: 2139-2161. DOI: 10.1137/050643210  0.731
2006 Hao S, Moran B, Chopp D. Biofilm growth: Perspectives on two-phase mixture flow and fingerings formation Solid Mechanics and Its Applications. 127: 273-290. DOI: 10.1007/1-4020-4131-4_27  0.349
2005 Torres M, Chopp D, Walsh T. Level set methods to compute minimal surfaces in a medium with exclusions (voids) Interfaces and Free Boundaries. 7: 161-185. DOI: 10.4171/Ifb/119  0.338
2003 Chopp DL, Kirisits MJ, Moran B, Parsek MR. The dependence of quorum sensing on the depth of a growing biofilm. Bulletin of Mathematical Biology. 65: 1053-79. PMID 14607288 DOI: 10.1016/S0092-8240(03)00057-0  0.365
2002 Chopp DL, Kirisits MJ, Moran B, Parsek MR. A mathematical model of quorum sensing in a growing bacterial biofilm. Journal of Industrial Microbiology & Biotechnology. 29: 339-46. PMID 12483476 DOI: 10.1038/Sj.Jim.7000316  0.395
2001 Sukumar N, Chopp DL, Moës N, Belytschko T. Modeling holes and inclusions by level sets in the extended finite-element method Computer Methods in Applied Mechanics and Engineering. 190: 6183-6200. DOI: 10.1016/S0045-7825(01)00215-8  0.3
2000 Chopp DL. A Level-Set Method for Simulating Island Coarsening Journal of Computational Physics. 162: 104-122. DOI: 10.1006/jcph.2000.6527  0.326
1999 Chopp D, Sethian JA. Motion by intrinsic Laplacian of curvature Interfaces and Free Boundaries. 1: 107-123. DOI: 10.4171/Ifb/6  0.328
Low-probability matches (unlikely to be authored by this person)
2015 Li X, Chopp DL, Russin WA, Brannon PT, Parsek MR, Packman AI. Spatial patterns of carbonate biomineralization in biofilms. Applied and Environmental Microbiology. 81: 7403-10. PMID 26276112 DOI: 10.1128/Aem.01585-15  0.282
2002 Ji H, Chopp D, Dolbow JE. A hybrid extended finite element/level set method for modeling phase transformations International Journal For Numerical Methods in Engineering. 54: 1209-1233. DOI: 10.1002/Nme.468  0.278
2006 Shrout JD, Chopp DL, Just CL, Hentzer M, Givskov M, Parsek MR. The impact of quorum sensing and swarming motility on Pseudomonas aeruginosa biofilm formation is nutritionally conditional. Molecular Microbiology. 62: 1264-77. PMID 17059568 DOI: 10.1111/J.1365-2958.2006.05421.X  0.278
2011 Duddu R, Chopp DL, Voorhees P, Moran B. Diffusional evolution of precipitates in elastic media using the extended finite element and the level set methods Journal of Computational Physics. 230: 1249-1264. DOI: 10.1016/J.Jcp.2010.11.002  0.269
2002 Smith KA, Solis FJ, Chopp D. A projection method for motion of triple junctions by level sets Interfaces and Free Boundaries. 4: 263-276. DOI: 10.4171/Ifb/61  0.253
2016 Li X, Chopp DL, Russin WA, Brannon PT, Parsek MR, Packman AI. In situ biomineralization and particle deposition distinctively mediate biofilm susceptibility to chlorine. Applied and Environmental Microbiology. PMID 26944848 DOI: 10.1128/Aem.03954-15  0.249
2011 Chopp D, Rawlani V, Ellis M, Johnson SA, Buck DW, Khan S, Bethke K, Hansen N, Kim JY. A geometric analysis of mastectomy incisions: Optimizing intraoperative breast volume. The Canadian Journal of Plastic Surgery = Journal Canadien De Chirurgie Plastique. 19: 45-50. PMID 22654531 DOI: 10.1177/229255031101900201  0.232
1999 Chopp D, Evans LC, Ishii H. Waiting Time Effects for Gauss Curvature Flows Indiana University Mathematics Journal. 48: 311-334. DOI: 10.1512/Iumj.1999.48.1556  0.222
2012 Davila AA, Buck DW, Chopp D, Connor CM, Persing S, Rawlani V, Kim JY. A novel prospective three-dimensional analysis of nasolabial fold augmentation. Aesthetic Surgery Journal / the American Society For Aesthetic Plastic Surgery. 32: 488-94. PMID 22452840 DOI: 10.1177/1090820X12442528  0.218
2002 Chopp DL. Some improvements of the fast marching method Siam Journal On Scientific Computing. 23: 230-244. DOI: 10.1137/S106482750037617X  0.198
2009 Chopp DL. Another look at velocity exten sions in the level set method Siam Journal On Scientific Computing. 31: 3255-3273. DOI: 10.1137/070686329  0.17
2006 Tongen A, Chopp DL. Simulation of multigrain thin film growth Interfaces and Free Boundaries. 8: 1-19.  0.161
1993 Chopp DL, Sethian JA. Flow under curvature: Singularity formation, minimal surfaces, and geodesics Experimental Mathematics. 2: 235-255. DOI: 10.1080/10586458.1993.10504566  0.16
1979 Robrish SA, Kemp CW, Chopp DE, Bowen WH. Viable and total cell masses in dental plaque as measured by bioluminescence methods Clinical Chemistry. 25: 1649-1654. PMID 111878  0.138
2001 Stolarska M, Chopp DL, Mos N, Belytschko T. Modelling crack growth by level sets in the extended finite element method International Journal For Numerical Methods in Engineering. 51: 943-960. DOI: 10.1002/Nme.201  0.131
2003 Kodambaka S, Chopp DL, Petrov I, Greene JE. Coalescence kinetics of two-dimensional TiN islands on atomically smooth TiN(0 0 1) and TiN(1 1 1) terraces Surface Science. 540: L611-L616. DOI: 10.1016/S0039-6028(03)00846-X  0.121
1994 Chopp DL. Computation of self-similar solutions for mean curvature Flow Experimental Mathematics. 3: 1-15. DOI: 10.1080/10586458.1994.10504572  0.113
2010 Shi J, Lua J, Thammadi N, Chopp D. Enhanced XFA3D for fatigue crack growth and life prediction in aluminum structures Collection of Technical Papers - Aiaa/Asme/Asce/Ahs/Asc Structures, Structural Dynamics and Materials Conference 0.107
1993 Chopp DL. Computing Minimal Surfaces via Level Set Curvature Flow Journal of Computational Physics. 106: 77-91. DOI: 10.1006/jcph.1993.1092  0.105
2008 Sukumar N, Chopp DL, Béchet E, Moës N. Three-dimensional non-planar crack growth by a coupled extended finite element and fast marching method International Journal For Numerical Methods in Engineering. 76: 727-748. DOI: 10.1002/nme.2344  0.103
2011 Culak J, Peet YV, Chopp DL. Smooth mesh generation for numerical analysis of blood vessel fluid flow Asme 2011 Summer Bioengineering Conference, Sbc 2011. 927-928. DOI: 10.1115/SBC2011-53653  0.103
2010 Shi J, Chopp D, Lua J, Sukumar N, Belytschko T. Abaqus implementation of extended finite element method using a level set representation for three-dimensional fatigue crack growth and life predictions Engineering Fracture Mechanics. 77: 2840-2863. DOI: 10.1016/J.Engfracmech.2010.06.009  0.096
2011 Peet YV, Chopp DL, Davis SH, Miksis MJ. Computational study of unsteady viscous flow in flexible vessels Asme 2011 Summer Bioengineering Conference, Sbc 2011. 1129-1130. DOI: 10.1115/SBC2011-53706  0.094
2003 Stolarska M, Chopp DL. Modeling thermal fatigue cracking in integrated circuits by level sets and the extended finite element method International Journal of Engineering Science. 41: 2381-2410. DOI: 10.1016/S0020-7225(03)00217-9  0.087
2003 Sukumar N, Chopp DL, Moran B. Extended finite element method and fast marching method for three-dimensional fatigue crack propagation Engineering Fracture Mechanics. 70: 29-48. DOI: 10.1016/S0013-7944(02)00032-2  0.085
2001 Chopp DL. Replacing iterative algorithms with single-pass algorithms Proceedings of the National Academy of Sciences of the United States of America. 98: 10992-10993. PMID 11572957 DOI: 10.1073/pnas.191387398  0.077
2003 Chopp D, Velling JA. Foliations of Hyperbolic space by Constant Mean Curvature Surfaces Sharing Ideal Boundary Experimental Mathematics. 12: 339-350.  0.077
2001 Baumann FH, Chopp DL, Díaz De La Rubia T, Gilmer GH, Greene JE, Huang H, Kodambaka S, O'Sullivan P, Petrov I. Multiscale modeling of thin-film deposition: Applications to Si device processing Mrs Bulletin. 26: 182-189.  0.076
2003 Chopp DL, Sukumar N. Fatigue crack propagation of multiple coplanar cracks with the coupled extended finite element/fast marching method International Journal of Engineering Science. 41: 845-869. DOI: 10.1016/S0020-7225(02)00322-1  0.072
2016 Sadeghirad A, Chopp DL, Ren X, Fang E, Lua J. A novel hybrid approach for level set characterization and tracking of non-planar 3D cracks in the extended finite element method Engineering Fracture Mechanics. 160: 1-14. DOI: 10.1016/j.engfracmech.2016.03.027  0.065
1995 Angenent S, Ilmanen T, Chopp DL. A computed example of nonuniqueness of mean curvature flow in r3 Communications in Partial Differential Equations. 20: 1937-1958. DOI: 10.1080/03605309508821158  0.059
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