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John S. Lowengrub - Publications

Affiliations: 
University of Minnesota, Twin Cities, Minneapolis, MN 
 University of California, Irvine, Irvine, CA 
Area:
Mathematics
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154 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
2023 Tang X, Li S, Lowengrub JS, Wise SM. Phase field modeling and computation of vesicle growth or shrinkage. Journal of Mathematical Biology. 86: 97. PMID 37219647 DOI: 10.1007/s00285-023-01928-2  0.332
2022 Zheng X, Zhao K, Jackson T, Lowengrub J. Tumor growth towards lower extracellular matrix conductivity regions under Darcy's Law and steady morphology. Journal of Mathematical Biology. 85: 5. PMID 35796898 DOI: 10.1007/s00285-022-01759-7  0.544
2020 Lu MJ, Liu C, Lowengrub J, Li S. Complex Far-Field Geometries Determine the Stability of Solid Tumor Growth with Chemotaxis. Bulletin of Mathematical Biology. 82: 39. PMID 32166456 DOI: 10.1007/S11538-020-00716-Z  0.429
2020 Yu F, Guo Z, Lowengrub JS. Higher-order accurate diffuse-domain methods for partial differential equations with Dirichlet boundary conditions in complex, evolving geometries Journal of Computational Physics. 406: 109174. DOI: 10.1016/J.Jcp.2019.109174  0.339
2019 Liu K, Lowengrub J, Allard J. Efficient simulation of thermally fluctuating biopolymers immersed in fluids on 1-micron, 1-second scales. Journal of Computational Physics. 386: 248-263. PMID 31787778 DOI: 10.1016/J.Jcp.2018.12.039  0.34
2019 Liu K, Chu B, Newby J, Read EL, Lowengrub J, Allard J. Hydrodynamics of transient cell-cell contact: The role of membrane permeability and active protrusion length. Plos Computational Biology. 15: e1006352. PMID 31022168 DOI: 10.1371/Journal.Pcbi.1006352  0.327
2019 Lipkova J, Angelikopoulos P, Wu S, Alberts E, Wiestler B, Diehl C, Preibisch C, Pyka T, Combs S, Hadjidoukas P, Van Leemput K, Koumoutsakos P, Lowengrub J, Menze B. Personalized Radiotherapy Design for Glioblastoma: Integrating Mathematical Tumor Models, Multimodal Scans and Bayesian Inference. Ieee Transactions On Medical Imaging. PMID 30835219 DOI: 10.1109/Tmi.2019.2902044  0.338
2019 Aland S, Egerer S, Lowengrub J, Voigt A. Diffuse interface models of locally inextensible vesicles in a viscous fluid. Journal of Computational Physics. 277: 32-47. PMID 25246712 DOI: 10.1016/J.Jcp.2014.08.016  0.407
2019 Turian E, Liu K, Lowengrub J, Li S. Morphological stability of an elastic tumor–host interface Journal of Computational and Applied Mathematics. 362: 410-422. DOI: 10.1016/J.Cam.2018.06.044  0.418
2018 Chen Y, Lowengrub JS. Tumor growth and calcification in evolving microenvironmental geometries. Journal of Theoretical Biology. 463: 138-154. PMID 30528340 DOI: 10.1016/J.Jtbi.2018.12.006  0.398
2018 Yan H, Romero-López M, Benitez LI, Di K, Frieboes HB, Hughes CCW, Bota DA, Lowengrub JS. Multiscale modeling of glioblastoma. Translational Cancer Research. 7: S96-S98. PMID 30211018 DOI: 10.21037/Tcr.2017.12.10  0.328
2018 Pham K, Turian E, Liu K, Li S, Lowengrub J. Nonlinear studies of tumor morphological stability using a two-fluid flow model. Journal of Mathematical Biology. PMID 29546457 DOI: 10.1007/S00285-018-1212-3  0.754
2018 Cummings J, Lowengrub JS, Sumpter BG, Wise SM, Kumar R. Modeling solvent evaporation during thin film formation in phase separating polymer mixtures. Soft Matter. PMID 29451285 DOI: 10.1039/C7Sm02560B  0.329
2018 Mahlbacher G, Curtis LT, Lowengrub J, Frieboes HB. Mathematical modeling of tumor-associated macrophage interactions with the cancer microenvironment. Journal For Immunotherapy of Cancer. 6: 10. PMID 29382395 DOI: 10.1186/S40425-017-0313-7  0.313
2018 Konstorum A, Lowengrub JS. Activation of the HGF/c-Met axis in the tumor microenvironment: A multispecies model. Journal of Theoretical Biology. 439: 86-99. PMID 29203124 DOI: 10.1016/J.Jtbi.2017.11.025  0.354
2018 Zhao M, Li X, Ying W, Belmonte A, Lowengrub J, Li S. Computation of a Shrinking Interface in a Hele-Shaw Cell Siam Journal On Scientific Computing. 40: B1206-B1228. DOI: 10.1137/18M1172533  0.527
2018 Chen Y, Lowengrub J, Shen J, Wang C, Wise S. Efficient energy stable schemes for isotropic and strongly anisotropic Cahn–Hilliard systems with the Willmore regularization Journal of Computational Physics. 365: 56-73. DOI: 10.1016/J.Jcp.2018.03.024  0.382
2018 Feng W, Guo Z, Lowengrub JS, Wise SM. A mass-conservative adaptive FAS multigrid solver for cell-centered finite difference methods on block-structured, locally-cartesian grids Journal of Computational Physics. 352: 463-497. DOI: 10.1016/J.Jcp.2017.09.065  0.351
2018 Feng W, Guan Z, Lowengrub J, Wang C, Wise SM, Chen Y. A Uniquely Solvable, Energy Stable Numerical Scheme for the Functionalized Cahn–Hilliard Equation and Its Convergence Analysis Journal of Scientific Computing. 76: 1938-1967. DOI: 10.1007/S10915-018-0690-1  0.367
2018 Franco-de-Leon M, Lowengrub J. Boundary integral methods for dispersive equations, Airy flow and the modified Korteweg de Vries equation Advances in Computational Mathematics. 45: 99-135. DOI: 10.1007/S10444-018-9607-7  0.366
2017 Ye H, Zhou J, Er D, Price CC, Yu Z, Liu Y, Lowengrub J, Lou J, Liu Z, Shenoy VB. Toward a Mechanistic Understanding of Vertical Growth of van der Waals Stacked 2D Materials: A Multiscale Model and Experiments. Acs Nano. PMID 29206441 DOI: 10.1021/Acsnano.7B07604  0.348
2017 Yan H, Konstorum A, Lowengrub JS. Three-Dimensional Spatiotemporal Modeling of Colon Cancer Organoids Reveals that Multimodal Control of Stem Cell Self-Renewal is a Critical Determinant of Size and Shape in Early Stages of Tumor Growth. Bulletin of Mathematical Biology. PMID 28681151 DOI: 10.1007/S11538-017-0294-1  0.306
2017 Yan H, Romero-López M, Benitez LI, Di K, Frieboes HB, Hughes CCW, Bota DA, Lowengrub JS. 3D mathematical modeling of glioblastoma suggests that transdifferentiated vascular endothelial cells mediate resistance to current standard-of-care therapy. Cancer Research. PMID 28536277 DOI: 10.1158/0008-5472.Can-16-3094  0.314
2017 Liu K, Marple GR, Allard J, Li S, Veerapaneni S, Lowengrub J. Dynamics of a multicomponent vesicle in shear flow. Soft Matter. PMID 28440378 DOI: 10.1039/C6Sm02452A  0.345
2017 Lee M, Chen GT, Puttock E, Wang K, Edwards RA, Waterman ML, Lowengrub J. Mathematical modeling links Wnt signaling to emergent patterns of metabolism in colon cancer. Molecular Systems Biology. 13: 912. PMID 28183841 DOI: 10.15252/Msb.20167386  0.336
2017 Zhao M, Ying W, Lowengrub J, Li S. An Efficient Adaptive Rescaling Scheme for Computing Moving Interface Problems Communications in Computational Physics. 21: 679-691. DOI: 10.4208/Cicp.Oa-2016-0040  0.329
2017 Guo Z, Lin P, Lowengrub J, Wise SM. Mass conservative and energy stable finite difference methods for the quasi-incompressible Navier–Stokes–Cahn–Hilliard system: Primitive variable and projection-type schemes Computer Methods in Applied Mechanics and Engineering. 326: 144-174. DOI: 10.1016/J.Cma.2017.08.011  0.377
2017 Guan Z, Lowengrub J, Wang C. Convergence analysis for second-order accurate schemes for the periodic nonlocal Allen-Cahn and Cahn-Hilliard equations Mathematical Methods in the Applied Sciences. 40: 6836-6863. DOI: 10.1002/Mma.4497  0.345
2016 Romero-López M, Trinh AL, Sobrino A, Hatch MM, Keating MT, Fimbres C, Lewis DE, Gershon PD, Botvinick EL, Digman M, Lowengrub JS, Hughes CC. Recapitulating the human tumor microenvironment: Colon tumor-derived extracellular matrix promotes angiogenesis and tumor cell growth. Biomaterials. 116: 118-129. PMID 27914984 DOI: 10.1016/J.Biomaterials.2016.11.034  0.348
2016 Yan H, Romero-Lopez M, Frieboes HB, Hughes CC, Lowengrub JS. Multiscale Modeling of Glioblastoma Suggests that the Partial Disruption of Vessel/Cancer Stem Cell Crosstalk Can Promote Tumor Regression without Increasing Invasiveness. Ieee Transactions On Bio-Medical Engineering. PMID 27723576 DOI: 10.1109/Tbme.2016.2615566  0.351
2016 Liu K, Hamilton C, Allard J, Lowengrub J, Li S. Wrinkling dynamics of fluctuating vesicles in time-dependent viscous flow. Soft Matter. PMID 27136977 DOI: 10.1039/C6Sm00499G  0.356
2016 Konstorum A, Hillen T, Lowengrub J. Feedback Regulation in a Cancer Stem Cell Model can Cause an Allee Effect. Bulletin of Mathematical Biology. PMID 27113934 DOI: 10.1007/S11538-016-0161-5  0.331
2016 Manakova K, Yan H, Lowengrub J, Allard J. Cell Surface Mechanochemistry and the Determinants of Bleb Formation, Healing, and Travel Velocity. Biophysical Journal. 110: 1636-47. PMID 27074688 DOI: 10.1016/J.Bpj.2016.03.008  0.344
2016 Lowengrub J, Allard J, Aland S. Numerical simulation of endocytosis: Viscous flow driven by membranes with non-uniformly distributed curvature-inducing molecules. Journal of Computational Physics. 309: 112-128. PMID 26869729 DOI: 10.1016/J.Jcp.2015.12.055  0.346
2016 Curtis LT, England CG, Wu M, Lowengrub J, Frieboes HB. An interdisciplinary computational/experimental approach to evaluate drug-loaded gold nanoparticle tumor cytotoxicity. Nanomedicine (London, England). 11: 197-216. PMID 26829163 DOI: 10.2217/Nnm.15.195  0.307
2016 Heinonen V, Achim CV, Kosterlitz JM, Ying SC, Lowengrub J, Ala-Nissila T. Consistent Hydrodynamics for Phase Field Crystals. Physical Review Letters. 116: 024303. PMID 26824543 DOI: 10.1103/Physrevlett.116.024303  0.333
2016 Aland S, Hatzikirou H, Lowengrub J, Voigt A. A Mechanistic Collective Cell Model for Epithelial Colony Growth and Contact Inhibition. Biophysical Journal. 109: 1347-57. PMID 26445436 DOI: 10.1016/J.Bpj.2015.08.003  0.387
2016 Guan Z, Heinonen V, Lowengrub J, Wang C, Wise SM. An energy stable, hexagonal finite difference scheme for the 2D phase field crystal amplitude equations Journal of Computational Physics. 321: 1026-1054. DOI: 10.1016/J.Jcp.2016.06.007  0.38
2016 Baskaran A, Guan Z, Lowengrub J. Energy stable multigrid method for local and non-local hydrodynamic models for freezing Computer Methods in Applied Mechanics and Engineering. 299: 22-56. DOI: 10.1016/J.Cma.2015.10.011  0.384
2016 Zhao M, Belmonte A, Li S, Li X, Lowengrub J. Nonlinear simulations of elastic fingering in a Hele-Shaw cell Journal of Computational and Applied Mathematics. 307: 394-407. DOI: 10.1016/J.Cam.2015.11.016  0.621
2016 Zheng X, Lowengrub J. An interface-fitted adaptive mesh method for elliptic problems and its application in free interface problems with surface tension Advances in Computational Mathematics. 1-33. DOI: 10.1007/S10444-016-9460-5  0.583
2015 Cox G, Lowengrub J. The effect of spontaneous curvature on a two-phase vesicle. Nonlinearity. 28: 773-793. PMID 26097287 DOI: 10.1088/0951-7715/28/3/773  0.671
2014 Baskaran A, Baskaran A, Lowengrub J. Kinetic density functional theory of freezing. The Journal of Chemical Physics. 141: 174506. PMID 25381530 DOI: 10.1063/1.4900499  0.305
2014 Chen Y, Lowengrub JS. Tumor growth in complex, evolving microenvironmental geometries: a diffuse domain approach. Journal of Theoretical Biology. 361: 14-30. PMID 25014472 DOI: 10.1016/J.Jtbi.2014.06.024  0.402
2014 Wu M, Frieboes HB, Chaplain MA, McDougall SR, Cristini V, Lowengrub JS. The effect of interstitial pressure on therapeutic agent transport: coupling with the tumor blood and lymphatic vascular systems. Journal of Theoretical Biology. 355: 194-207. PMID 24751927 DOI: 10.1016/J.Jtbi.2014.04.012  0.331
2014 Chen Y, Wise SM, Shenoy VB, Lowengrub JS. A stable scheme for a nonlinear, multiphase tumor growth model with an elastic membrane. International Journal For Numerical Methods in Biomedical Engineering. 30: 726-54. PMID 24443369 DOI: 10.1002/Cnm.2624  0.469
2014 Li JF, Lowengrub J. The effects of cell compressibility, motility and contact inhibition on the growth of tumor cell clusters using the Cellular Potts Model. Journal of Theoretical Biology. 343: 79-91. PMID 24211749 DOI: 10.1016/J.Jtbi.2013.10.008  0.31
2014 Chen GT, Lee M, Pate K, Wang K, Edwards RA, Lowengrub JS, Waterman ML. Abstract 138: A role for Wnt signaling in regulation of Warburg metabolism in colon cancer Cancer Research. 74: 138-138. DOI: 10.1158/1538-7445.Am2014-138  0.303
2014 Guan Z, Lowengrub JS, Wang C, Wise SM. Second order convex splitting schemes for periodic nonlocal Cahn-Hilliard and Allen-Cahn equations Journal of Computational Physics. 277: 48-71. DOI: 10.1016/J.Jcp.2014.08.001  0.386
2014 Guo Z, Lin P, Lowengrub JS. A numerical method for the quasi-incompressible Cahn-Hilliard-Navier-Stokes equations for variable density flows with a discrete energy law Journal of Computational Physics. 276: 486-507. DOI: 10.1016/J.Jcp.2014.07.038  0.403
2013 Meca E, Shenoy VB, Lowengrub J. Phase-field modeling of two-dimensional crystal growth with anisotropic diffusion. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 88: 052409. PMID 24329281 DOI: 10.1103/Physreve.88.052409  0.403
2013 Meca E, Lowengrub J, Kim H, Mattevi C, Shenoy VB. Epitaxial graphene growth and shape dynamics on copper: phase-field modeling and experiments. Nano Letters. 13: 5692-7. PMID 24147584 DOI: 10.1021/Nl4033928  0.359
2013 Wu M, Frieboes HB, McDougall SR, Chaplain MA, Cristini V, Lowengrub J. The effect of interstitial pressure on tumor growth: coupling with the blood and lymphatic vascular systems. Journal of Theoretical Biology. 320: 131-51. PMID 23220211 DOI: 10.1016/J.Jtbi.2012.11.031  0.373
2013 Barua AK, Li S, Feng H, Li X, Lowengrub J. An efficient rescaling algorithm for simulating the evolution of multiple elastically stressed precipitates Communications in Computational Physics. 14: 940-959. DOI: 10.4208/Cicp.251012.271212A  0.535
2013 Baskaran A, Lowengrub JS, Wang C, Wise SM. Convergence analysis of a second order convex splitting scheme for the modified phase field crystal equation Siam Journal On Numerical Analysis. 51: 2851-2873. DOI: 10.1137/120880677  0.379
2013 Lowengrub J, Titi ES, Zhao K. Analysis of a mixture model of tumor growth European Journal of Applied Mathematics. 24: 691-734. DOI: 10.1017/S0956792513000144  0.378
2013 Baskaran A, Hu Z, Lowengrub JS, Wang C, Wise SM, Zhou P. Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation Journal of Computational Physics. 250: 270-292. DOI: 10.1016/J.Jcp.2013.04.024  0.77
2013 Chuang Y, Cristini V, Chen Y, Li X, Frieboes HB, Lowengrub JS. Modeling Tumor Growth in an Evolving Tissue Structure: A Diffuse Domain Approach Biophysical Journal. 104: 496a-497a. DOI: 10.1016/J.Bpj.2012.11.2739  0.426
2012 Sohn J, Li S, Li X, Lowengrub JS. Axisymmetric multicomponent vesicles: A comparison of hydrodynamic and geometric models. International Journal For Numerical Methods in Biomedical Engineering. 28: 346-68. PMID 25830201 DOI: 10.1002/Cnm.2475  0.614
2012 Zhu X, Welling M, Jin F, Lowengrub J. Predicting Simulation Parameters of Biological Systems Using a Gaussian Process Model. Statistical Analysis and Data Mining. 5: 509-522. PMID 23482410 DOI: 10.1002/Sam.11163  0.365
2012 Aland S, Lowengrub J, Voigt A. Particles at fluid-fluid interfaces: A new Navier-Stokes-Cahn-Hilliard surface- phase-field-crystal model. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 86: 046321. PMID 23214691 DOI: 10.1103/Physreve.86.046321  0.383
2012 Zhou P, Wise S, Li X, Lowengrub J. Coarsening of elastically stressed, strongly anisotropic driven thin films. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 85: 061605. PMID 23005107 DOI: 10.1103/Physreve.85.061605  0.334
2012 Pham K, Chauviere A, Hatzikirou H, Li X, Byrne HM, Cristini V, Lowengrub J. Density-dependent quiescence in glioma invasion: instability in a simple reaction-diffusion model for the migration/proliferation dichotomy. Journal of Biological Dynamics. 6: 54-71. PMID 22873675 DOI: 10.1080/17513758.2011.590610  0.741
2012 Torabi S, Lowengrub J. Simulating interfacial anisotropy in thin-film growth using an extended Cahn-Hilliard model. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 85: 041603. PMID 22680484 DOI: 10.1103/Physreve.85.041603  0.798
2012 Kavousanakis ME, Liu P, Boudouvis AG, Lowengrub J, Kevrekidis IG. Efficient coarse simulation of a growing avascular tumor. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 85: 031912. PMID 22587128 DOI: 10.1103/Physreve.85.031912  0.41
2012 Youssefpour H, Li X, Lander AD, Lowengrub JS. Multispecies model of cell lineages and feedback control in solid tumors. Journal of Theoretical Biology. 304: 39-59. PMID 22554945 DOI: 10.1016/J.Jtbi.2012.02.030  0.346
2012 Chauviere A, Hatzikirou H, Kevrekidis IG, Lowengrub JS, Cristini V. Dynamic density functional theory of solid tumor growth: Preliminary models. Aip Advances. 2: 11210. PMID 22489279 DOI: 10.1063/1.3699065  0.38
2012 van de Ven AL, Wu M, Lowengrub J, McDougall SR, Chaplain MA, Cristini V, Ferrari M, Frieboes HB. Integrated intravital microscopy and mathematical modeling to optimize nanotherapeutics delivery to tumors. Aip Advances. 2: 11208. PMID 22489278 DOI: 10.1063/1.3699060  0.305
2012 He A, Lowengrub J, Belmonte A. Modeling an elastic fingering instability in a reactive hele-shaw flow Siam Journal On Applied Mathematics. 72: 842-856. DOI: 10.1137/110844313  0.381
2012 Hu Z, Lowengrub JS, Wise SM, Voigt A. Phase-field modeling of epitaxial growth: Applications to step trains and island dynamics Physica D: Nonlinear Phenomena. 241: 77-94. DOI: 10.1016/J.Physd.2011.09.004  0.797
2012 Barua A, Li S, Li X, Lowengrub J. Self-similar evolution of a precipitate in inhomogeneous elastic media Journal of Crystal Growth. 351: 62-71. DOI: 10.1016/J.Jcrysgro.2012.04.020  0.581
2012 Xu J, Yang Y, Lowengrub J. A level-set continuum method for two-phase flows with insoluble surfactant Journal of Computational Physics. 231: 5897-5909. DOI: 10.1016/J.Jcp.2012.05.014  0.39
2012 Hatzikirou H, Chauvière A, Lowengrub J, De Groot J, Cristini V. Effect of vascularization on glioma tumor growth Modeling Tumor Vasculature: Molecular, Cellular, and Tissue Level Aspects and Implications. 2147483647: 237-259. DOI: 10.1007/978-1-4614-0052-3_10  0.365
2011 Ograin C, Lowengrub J. Geometric evolution law for modeling strongly anisotropic thin-film morphology. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 84: 061606. PMID 22304101 DOI: 10.1103/Physreve.84.061606  0.724
2011 Frieboes HB, Chaplain MA, Thompson AM, Bearer EL, Lowengrub JS, Cristini V. Physical oncology: a bench-to-bedside quantitative and predictive approach. Cancer Research. 71: 298-302. PMID 21224346 DOI: 10.1158/0008-5472.Can-10-2676  0.333
2011 Teigen KE, Song P, Lowengrub J, Voigt A. A diffuse-interface method for two-phase flows with soluble surfactants. Journal of Computational Physics. 230: 375-393. PMID 21218125 DOI: 10.1016/J.Jcp.2010.09.020  0.399
2011 Wise SM, Lowengrub JS, Cristini V. An Adaptive Multigrid Algorithm for Simulating Solid Tumor Growth Using Mixture Models. Mathematical and Computer Modelling. 53: 1-20. PMID 21076663 DOI: 10.1016/J.Mcm.2010.07.007  0.445
2011 Pham K, Frieboes HB, Cristini V, Lowengrub J. Predictions of tumour morphological stability and evaluation against experimental observations. Journal of the Royal Society, Interface / the Royal Society. 8: 16-29. PMID 20519213 DOI: 10.1098/Rsif.2010.0194  0.742
2011 Xu J, Li Z, Lowengrub J, Zhao H. Numerical Study of Surfactant-Laden Drop-Drop Interactions Communications in Computational Physics. 10: 453-473. DOI: 10.4208/Cicp.090310.020610A  0.314
2011 Wu M, Frieboes HB, Lowengrub J. Abstract B67: In silico study of drug active transport via macrophages in tumor chemotherapy Cancer Research. 71. DOI: 10.1158/1538-7445.Fbcr11-B67  0.353
2011 Aland S, Lowengrub J, Voigt A. A continuum model of colloid-stabilized interfaces Physics of Fluids. 23: 062103. DOI: 10.1063/1.3584815  0.398
2011 Wise SM, Lowengrub JS, Cristini V. An adaptive multigrid algorithm for simulating solid tumor growth using mixture models Mathematical and Computer Modelling. 53: 1-20. DOI: 10.1016/j.mcm.2010.07.007  0.321
2011 Leung S, Lowengrub J, Zhao H. A grid based particle method for solving partial differential equations on evolving surfaces and modeling high order geometrical motion Journal of Computational Physics. 230: 2540-2561. DOI: 10.1016/J.Jcp.2010.12.029  0.396
2010 De Magalhães N, Liaw LH, Berns M, Cristini V, Chen Z, Stupack D, Lowengrub J. Applications of a new In vivo tumor spheroid based shell-less chorioallantoic membrane 3-D model in bioengineering research. Journal of Biomedical Science and Engineering. 3: 20-26. PMID 21243108 DOI: 10.4236/Jbise.2010.31003  0.764
2010 Chauviere AH, Hatzikirou H, Lowengrub JS, Frieboes HB, Thompson AM, Cristini V. Mathematical Oncology: How Are the Mathematical and Physical Sciences Contributing to the War on Breast Cancer? Current Breast Cancer Reports. 2: 121-129. PMID 21151486 DOI: 10.1007/S12609-010-0020-6  0.311
2010 Lowengrub JS, Frieboes HB, Jin F, Chuang YL, Li X, Macklin P, Wise SM, Cristini V. Nonlinear modelling of cancer: bridging the gap between cells and tumours. Nonlinearity. 23: R1-R9. PMID 20808719 DOI: 10.1088/0951-7715/23/1/R01  0.693
2010 Sohn JS, Tseng YH, Li S, Voigt A, Lowengrub JS. Dynamics of multicomponent vesicles in a viscous fluid. Journal of Computational Physics. 229: 119-144. PMID 20808718 DOI: 10.1016/J.Jcp.2009.09.017  0.741
2010 Frieboes HB, Jin F, Chuang YL, Wise SM, Lowengrub JS, Cristini V. Three-dimensional multispecies nonlinear tumor growth-II: Tumor invasion and angiogenesis. Journal of Theoretical Biology. 264: 1254-78. PMID 20303982 DOI: 10.1016/J.Jtbi.2010.02.036  0.402
2010 Aland S, Lowengrub J, Voigt A. Two-phase flow in complex geometries: A diffuse domain approach. Cmes-Computer Modeling in Engineering & Sciences. 57: 77-108. DOI: 10.3970/Cmes.2010.057.077  0.378
2010 Sohn JS, Li S, Li X, Lowengrub JS. Dynamics of 3D Axisymmetric Multicomponent Vesicles in A Viscous Fluid Biophysical Journal. 98: 219a. DOI: 10.1016/J.Bpj.2009.12.1181  0.773
2009 Li X, Lowengrub J, Ratz A, Voigt A. Solving Pdes In Complex Geometries: A Diffuse Domain Approach. Communications in Mathematical Sciences. 7: 81-107. PMID 21603084 DOI: 10.4310/Cms.2009.V7.N1.A4  0.371
2009 Teigen KE, Li X, Lowengrub J, Wang F, Voigt A. A DIFFUSE-INTERFACE APPROACH FOR MODELING TRANSPORT, DIFFUSION AND ADSORPTION/DESORPTION OF MATERIAL QUANTITIES ON A DEFORMABLE INTERFACE. Communications in Mathematical Sciences. 4: 1009-1037. PMID 21373370 DOI: 10.4310/Cms.2009.V7.N4.A10  0.379
2009 Li S, Lowengrub JS, Fontana J, Palffy-Muhoray P. Control of viscous fingering patterns in a radial Hele-Shaw cell. Physical Review Letters. 102: 174501. PMID 19518786 DOI: 10.1103/Physrevlett.102.174501  0.3
2009 Lowengrub JS, Rätz A, Voigt A. Phase-field modeling of the dynamics of multicomponent vesicles: Spinodal decomposition, coarsening, budding, and fission. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 79: 031926. PMID 19391990 DOI: 10.1103/Physreve.79.031926  0.437
2009 Bearer EL, Lowengrub JS, Frieboes HB, Chuang YL, Jin F, Wise SM, Ferrari M, Agus DB, Cristini V. Multiparameter computational modeling of tumor invasion. Cancer Research. 69: 4493-501. PMID 19366801 DOI: 10.1158/0008-5472.Can-08-3834  0.348
2009 Cristini V, Li X, Lowengrub JS, Wise SM. Nonlinear simulations of solid tumor growth using a mixture model: invasion and branching. Journal of Mathematical Biology. 58: 723-63. PMID 18787827 DOI: 10.1007/S00285-008-0215-X  0.484
2009 Macklin P, McDougall S, Anderson AR, Chaplain MA, Cristini V, Lowengrub J. Multiscale modelling and nonlinear simulation of vascular tumour growth. Journal of Mathematical Biology. 58: 765-98. PMID 18781303 DOI: 10.1007/S00285-008-0216-9  0.668
2009 Wise SM, Wang C, Lowengrub JS. An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation Siam Journal On Numerical Analysis. 47: 2269-2288. DOI: 10.1137/080738143  0.38
2009 Torabi S, Lowengrub J, Voigt A, Wise S. A new phase-field model for strongly anisotropic systems Proceedings of the Royal Society a: Mathematical, Physical and Engineering Sciences. 465: 1337-1359. DOI: 10.1098/Rspa.2008.0385  0.805
2009 Hu Z, Wise SM, Wang C, Lowengrub JS. Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation Journal of Computational Physics. 228: 5323-5339. DOI: 10.1016/J.Jcp.2009.04.020  0.393
2008 Macklin P, Lowengrub JS. A New Ghost Cell/Level Set Method for Moving Boundary Problems: Application to Tumor Growth. Journal of Scientific Computing. 35: 266-299. PMID 21331304 DOI: 10.1007/S10915-008-9190-Z  0.733
2008 Wise SM, Lowengrub JS, Frieboes HB, Cristini V. Three-dimensional multispecies nonlinear tumor growth-I. Model and numerical method Journal of Theoretical Biology. 253: 524-543. PMID 18485374 DOI: 10.1016/J.Jtbi.2008.03.027  0.483
2008 Torabi S, Wise S, Li S, Voigt A, Lowengrub J, Zhou P. Simulations of Nonlinear Strongly Anisotropic, Misfitting Crystals and Thin Films Mrs Proceedings. 1087. DOI: 10.1557/Proc-1087-V02-01  0.808
2007 Yeon DH, Cha PR, Lowengrub JS, Voigt A, Thornton K. Linear stability analysis for step meandering instabilities with elastic interactions and Ehrlich-Schwoebel barriers. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 76: 011601. PMID 17677458 DOI: 10.1103/Physreve.76.011601  0.33
2007 Frieboes HB, Lowengrub JS, Wise S, Zheng X, Macklin P, Bearer EL, Cristini V. Computer simulation of glioma growth and morphology. Neuroimage. 37: S59-70. PMID 17475515 DOI: 10.1016/J.Neuroimage.2007.03.008  0.759
2007 Li X, Cristini V, Nie Q, Lowengrub JS. Nonlinear three-dimensional simulation of solid tumor growth Discrete and Continuous Dynamical Systems - Series B. 7: 581-604. DOI: 10.3934/Dcdsb.2007.7.581  0.441
2007 Hu Z, Li S, Lowengrub JS. Morphological stability analysis of the epitaxial growth of a circular island: Application to nanoscale shape control Physica D: Nonlinear Phenomena. 233: 151-166. DOI: 10.1016/J.Physd.2007.06.020  0.363
2007 Macklin P, Lowengrub J. Erratum to “Nonlinear simulation of the effect of microenvironment on tumor growth” Journal of Theoretical Biology. 247: 581. DOI: 10.1016/J.Jtbi.2007.03.037  0.673
2007 Wise S, Kim J, Lowengrub J. Solving the regularized, strongly anisotropic Cahn–Hilliard equation by an adaptive nonlinear multigrid method Journal of Computational Physics. 226: 414-446. DOI: 10.1016/J.Jcp.2007.04.020  0.593
2007 Li S, Lowengrub JS, Leo PH. A rescaling scheme with application to the long-time simulation of viscous fingering in a Hele-Shaw cell Journal of Computational Physics. 225: 554-567. DOI: 10.1016/J.Jcp.2006.12.023  0.342
2007 Glicksman ME, Lowengrub JS, Li S, Li X. A deterministic mechanism for dendritic solidification kinetics Jom. 59: 27-34. DOI: 10.1007/S11837-007-0100-X  0.353
2007 Lowengrub JS, Xu JJ, Voigt A. Surface phase separation and flow in a simple model of multicomponent drops and vesicles Fluid Dynamics and Materials Processing. 3: 1-19.  0.303
2006 Macklin P, Lowengrub J. Nonlinear simulation of the effect of microenvironment on tumor growth. Journal of Theoretical Biology. 245: 677-704. PMID 17239903 DOI: 10.1016/J.Jtbi.2006.12.004  0.688
2006 Dunn JC, Chan WY, Cristini V, Kim JS, Lowengrub J, Singh S, Wu BM. Analysis of cell growth in three-dimensional scaffolds. Tissue Engineering. 12: 705-16. PMID 16674285 DOI: 10.1089/Ten.2006.12.705  0.511
2006 Lee C, Lowengrub J, Rubinstein J, Zheng X. Phase reconstruction by the weighted least action principle Journal of Optics a: Pure and Applied Optics. 8: 279-289. DOI: 10.1088/1464-4258/8/3/009  0.569
2006 Lopes Filho MC, Lowengrub J, Nussenzveig Lopes HJ, Zheng Y. Numerical evidence of nonuniqueness in the evolution of vortex sheets Esaim: Mathematical Modelling and Numerical Analysis. 40: 225-237. DOI: 10.1051/M2An:2006012  0.344
2006 Yang X, James AJ, Lowengrub J, Zheng X, Cristini V. An adaptive coupled level-set/volume-of-fluid interface capturing method for unstructured triangular grids Journal of Computational Physics. 217: 364-394. DOI: 10.1016/J.Jcp.2006.01.007  0.576
2006 Macklin P, Lowengrub J. An improved geometry-aware curvature discretization for level set methods: Application to tumor growth Journal of Computational Physics. 215: 392-401. DOI: 10.1016/J.Jcp.2005.11.016  0.687
2006 Xu J, Li Z, Lowengrub J, Zhao H. A level-set method for interfacial flows with surfactant Journal of Computational Physics. 212: 590-616. DOI: 10.1016/J.Jcp.2005.07.016  0.388
2005 Kim J, Lowengrub J. Phase field modeling and simulation of three-phase flows Interfaces and Free Boundaries. 7: 435-466. DOI: 10.4171/Ifb/132  0.501
2005 Li S, Lowengrub JS, Leo PH. Nonlinear morphological control of growing crystals Physica D: Nonlinear Phenomena. 208: 209-219. DOI: 10.1016/J.Physd.2005.06.021  0.357
2005 Li S, Lowengrub JS, Leo PH, Cristini V. Nonlinear stability analysis of self-similar crystal growth: Control of the Mullins-Sekerka instability Journal of Crystal Growth. 277: 578-592. DOI: 10.1016/J.Jcrysgro.2004.12.042  0.35
2005 Zheng X, Lowengrub J, Anderson A, Cristini V. Adaptive unstructured volume remeshing - II: Application to two- and three-dimensional level-set simulations of multiphase flow Journal of Computational Physics. 208: 626-650. DOI: 10.1016/J.Jcp.2005.02.024  0.601
2005 Macklin P, Lowengrub J. Evolving interfaces via gradients of geometry-dependent interior Poisson problems: application to tumor growth Journal of Computational Physics. 203: 191-220. DOI: 10.1016/J.Jcp.2004.08.010  0.723
2004 Kang K, Kim J, Lowengrub J. Conservative multigrid methods for ternary Cahn-Hilliard systems Communications in Mathematical Sciences. 2: 53-77. DOI: 10.4310/Cms.2004.V2.N1.A4  0.535
2004 Wise SM, Lowengrub JS, Kim JS, Johnson WC. Efficient phase-field simulation of quantum dot formation in a strained heteroepitaxial film Superlattices and Microstructures. 36: 293-304. DOI: 10.1016/J.Spmi.2004.08.029  0.557
2004 Li S, Lowengrub JS, Leo PH, Cristini V. Nonlinear theory of self-similar crystal growth and melting Journal of Crystal Growth. 267: 703-713. DOI: 10.1016/J.Jcrysgro.2004.04.002  0.322
2004 Cristini V, Lowengrub J. Three-dimensional crystal growth - II: Nonlinear simulation and control of the Mullins-Sekerka instability Journal of Crystal Growth. 266: 552-567. DOI: 10.1016/J.Jcrysgro.2004.02.115  0.361
2004 James AJ, Lowengrub J. A surfactant-conserving volume-of-fluid method for interfacial flows with insoluble surfactant Journal of Computational Physics. 201: 685-722. DOI: 10.1016/J.Jcp.2004.06.013  0.392
2004 Kim J, Kang K, Lowengrub J. Conservative multigrid methods for Cahn–Hilliard fluids Journal of Computational Physics. 193: 511-543. DOI: 10.1016/J.Jcp.2003.07.035  0.557
2004 Li X, Thornton K, Nie Q, Voorhees PW, Lowengrub JS. Two- and three-dimensional equilibrium morphology of a misfitting particle and the Gibbs-Thomson effect Acta Materialia. 52: 5829-5843. DOI: 10.1016/J.Actamat.2004.08.041  0.528
2003 Cristini V, Lowengrub J, Nie Q. Nonlinear simulation of tumor growth. Journal of Mathematical Biology. 46: 191-224. PMID 12728333 DOI: 10.1007/S00285-002-0174-6  0.416
2003 Li X, Lowengrub J, Nie Q, Cristini V, Leo P. Microstructure evolution in three-dimensional inhomogeneous elastic media Metallurgical and Materials Transactions A. 34: 1421-1431. DOI: 10.1007/S11661-003-0254-2  0.599
2002 Lee HG, Lowengrub JS, Goodman J. Modeling pinchoff and reconnection in a Hele-Shaw cell. II. Analysis and simulation in the nonlinear regime Physics of Fluids. 14: 514-545. DOI: 10.1063/1.1425844  0.421
2002 Lee HG, Lowengrub JS, Goodman J. Modeling pinchoff and reconnection in a hele-shaw cell. I. The models and their calibration Physics of Fluids. 14: 492-513. DOI: 10.1063/1.1425843  0.427
2002 Cristini V, Lowengrub J. Three-dimensional crystal growth - I: Linear analysis and self-similar evolution Journal of Crystal Growth. 240: 267-276. DOI: 10.1016/S0022-0248(02)00831-X  0.371
2001 Hooper R, Cristini V, Shakya S, Lowengrub JS, Derby JJ, Macosko CW. Modeling multiphase flows using a novel 3D adaptive remeshing algorithm Advances in Fluid Mechanics. 29: 33-42. DOI: 10.2495/Mpf010031  0.371
2001 Leo PH, Lowengrub JS, Nie Q. On an elastically induced splitting instability Acta Materialia. 49: 2761-2772. DOI: 10.1016/S1359-6454(01)00179-3  0.3
2001 Hou TY, Lowengrub JS, Shelley MJ. Boundary Integral Methods for Multicomponent Fluids and Multiphase Materials Journal of Computational Physics. 169: 302-362. DOI: 10.1006/Jcph.2000.6626  0.37
2000 Leo PH, Lowengrub JS, Nie Q. Microstructural evolution in orthotropic elastic media Journal of Computational Physics. 157: 44-88. DOI: 10.1006/Jcph.1999.6359  0.395
1999 Caflisch RE, Hou TY, Lowengrub J. Almost optimal convergence of the point vortex method for vortex sheets using numerical filtering Mathematics of Computation. 68: 1465-1497. DOI: 10.1090/S0025-5718-99-01108-4  0.348
1998 Lowengrub J, Truskinovsky L. Quasi–incompressible Cahn–Hilliard fluids and topological transitions Proceedings of the Royal Society of London. Series a: Mathematical, Physical and Engineering Sciences. 454: 2617-2654. DOI: 10.1098/Rspa.1998.0273  0.417
1998 Leo PH, Lowengrub JS, Jou HJ. A diffuse interface model for microstructural evolution in elastically stressed solids Acta Materialia. 46: 2113-2130. DOI: 10.1016/S1359-6454(97)00377-7  0.428
1997 Hou TY, Lowengrub JS, Shelley MJ. The long-time motion of vortex sheets with surface tension Physics of Fluids. 9: 1933-1954. DOI: 10.1063/1.869313  0.397
1997 Jou HJ, Leo PH, Lowengrub JS. Microstructural Evolution in Inhomogeneous Elastic Media Journal of Computational Physics. 131: 109-148. DOI: 10.1006/Jcph.1996.5581  0.355
1996 Beale JT, Hou TY, Lowengrub J. Convergence of a Boundary Integral Method for Water Waves Siam Journal On Numerical Analysis. 33: 1797-1843. DOI: 10.1137/S0036142993245750  0.356
1994 Beale JT, Hou TY, Lowengrub JS, Shelley MJ. Spatial and temporal stability issues for interfacial flows with surface tension Mathematical and Computer Modelling. 20: 1-27. DOI: 10.1016/0895-7177(94)90167-8  0.378
1994 Hou TY, Lowengrub JS, Shelley MJ. Removing the Stiffness from Interfacial Flows with Surface Tension Journal of Computational Physics. 114: 312-338. DOI: 10.1006/Jcph.1994.1170  0.384
1993 Lowengrub JS, Shelley MJ, Merriman B. High-Order and Efficient Methods for the Vorticity Formulation of the Euler Equations Siam Journal On Scientific Computing. 14: 1107-1142. DOI: 10.1137/0914067  0.36
1993 Hou TY, Lowengrub J, Shelley MJ. The Convergence of an Exact Desingularization for Vortex Methods Siam Journal On Scientific Computing. 14: 1-18. DOI: 10.1137/0914001  0.353
1993 Beale JT, Hou TY, Lowengrub JS. Growth rates for the linearized motion of fluid interfaces away from equilibrium Communications On Pure and Applied Mathematics. 46: 1269-1301. DOI: 10.1002/Cpa.3160460903  0.365
1990 Hou TY, Lowengrub J. Convergence of the point vortex method for the 3-D euler equations Communications On Pure and Applied Mathematics. 43: 965-981. DOI: 10.1002/Cpa.3160430803  0.33
1990 Goodman J, Hou TY, Lowengrub J. Convergence of the point vortex method for the 2-D euler equations Communications On Pure and Applied Mathematics. 43: 415-430. DOI: 10.1002/Cpa.3160430305  0.324
1989 Caflisch RE, Lowengrub JS. Convergence of the Vortex Method for Vortex Sheets Siam Journal On Numerical Analysis. 26: 1060-1080. DOI: 10.1137/0726059  0.335
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