John Lowengrub

1. Three-dimensional multispecies nonlinear tumor growth—II: Tumor invasion and angiogenesis
   2010/03/22 by Hermann B. Frieboes, Fang Jin, Yao-Li Chuang +4 · 33 citations
   Mathematics · Biochemistry, Genetics and Molecular Biology · Medicine · #Mathematical Biology Tumor Growth #Cellular Mechanics and Interactions #Cancer Cells and Metastasis
2. Solving the regularized, strongly anisotropic Cahn–Hilliard equation by an adaptive nonlinear multigrid method
   2007/05/09 by Steven M. Wise, Steven Wise, Junseok Kim +1 · 13 citations
   Materials Science · Engineering · #Solidification and crystal growth phenomena #Block Copolymer Self-Assembly #Fluid Dynamics and Thin Films
3. Nonlinear simulations of solid tumor growth using a mixture model: invasion and branching
   2008/09/11 by Vittorio Cristini, Xiangrong Li, John Lowengrub +2 · 4 citations
   Biochemistry, Genetics and Molecular Biology · Mathematics · #Cellular Mechanics and Interactions #Mathematical Biology Tumor Growth #Microtubule and mitosis dynamics
4. Convergence Analysis of a Second Order Convex Splitting Scheme for the\n Modified Phase Field Crystal Equation
   2012/08/07 by Arvind Baskaran, John Lowengrub, Baskaran, Arvind +5 · 5 citations
   Computer Science · Engineering · Materials Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Aluminum Alloy Microstructure Properties #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Solidification and crystal growth phenomena
5. Higher-order accurate diffuse-domain methods for partial differential equations with Dirichlet boundary conditions in complex, evolving geometries
   2018/12/10 by Fei Yu, Yu, Fei, Zhenlin Guo +3 · 5 citations
   Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA)
6. The effect of interstitial pressure on therapeutic agent transport: Coupling with the tumor blood and lymphatic vascular systems
   2014/04/19 by Min Wu, Hermann B. Frieboes, Mark A.J. Chaplain +6 · 26 citations
   Mathematics · Engineering · Biochemistry, Genetics and Molecular Biology · #Mathematical Biology Tumor Growth #3D Printing in Biomedical Research #Cellular Mechanics and Interactions
7. Dynamics of a multicomponent vesicle in shear flow
   2016/10/31 by Kai Liu, Liu, Kai, Gary R. Marple +7 · 2 citations
   Biochemistry, Genetics and Molecular Biology · Chemistry · Medicine · #Lipid Membrane Structure and Behavior #Surfactants and Colloidal Systems #Blood properties and coagulation
8. Modeling the vertical growth of van der Waals stacked 2D materials using the diffuse domain method
   2019/11/22 by Zhenlin Guo, Christopher C. Price, Guo, Zhenlin +5 · 2 citations
   Computer Science · Earth and Planetary Sciences · Materials Science · #Advanced Mathematical Modeling in Engineering #nanoparticles nucleation surface interactions #Graphene research and applications
9. Pattern formation of the three-layer Saffman-Taylor problem in a radial Hele-Shaw cell
   2020/06/23 by Meng Zhao, Zhao, M., Pedro H. A. Anjos +5 · 2 citations
   Engineering · Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Lattice Boltzmann Simulation Studies #Random lasers and scattering media #Theoretical and Computational Physics
10. Individualizing Glioma Radiotherapy Planning by Optimization of Data and Physics-Informed Discrete Loss
    2023/12/08 by Michał Balcerak, Balcerak, Michal, Jonas Weidner +17 · 5 citations
    Mathematics · #Mathematical Biology Tumor Growth
11. Phase field modeling and computation of vesicle growth or shrinkage
    2022/09/27 by Xiaoxia Tang, Tang, Xiaoxia, Shuwang Li +5 · 2 citations
    Chemistry · Engineering · Materials Science · #FOS: Mathematics #Fluid Dynamics and Thin Films #Numerical Analysis (math.NA) #Solidification and crystal growth phenomena #Surfactants and Colloidal Systems
12. Analysis of a Mixture Model of Tumor Growth
    2012/05/30 by John Lowengrub, Edriss S. Titi, Lowengrub, John +3 · 1 citation
    Earth and Planetary Sciences · Materials Science · Mathematics · #35B40 #35B65 #35Q35 #Analysis of PDEs (math.AP) #Biological Physics (physics.bio-ph) #FOS: Biological sciences #FOS: Mathematics #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS) #Quantitative Methods (q-bio.QM) #Solidification and crystal growth phenomena #Stochastic processes and statistical mechanics #nanoparticles nucleation surface interactions
13. Personalized Predictions of Glioblastoma Infiltration: Mathematical Models, Physics-Informed Neural Networks and Multimodal Scans
    2023/11/28 by Zhang, Ray Zirui, Ivan Ezhov, Michał Balcerak +10 · 3 citations
    Mathematics · Medicine · #35Q92 #92-08 #92C50 #FOS: Biological sciences #FOS: Computer and information sciences #FOS: Electrical engineering #Glioma Diagnosis and Treatment #I.2.6 #Image and Video Processing (eess.IV) #J.2 #J.3 #Machine Learning (cs.LG) #Mathematical Biology Tumor Growth #Quantitative Methods (q-bio.QM) #Radiomics and Machine Learning in Medical Imaging #electronic engineering #information engineering
14. The effect of interstitial pressure on tumor growth: Coupling with the blood and lymphatic vascular systems
    2012/12/07 by Min Wu, Hermann B. Frieboes, Steven R. McDougall +5 · 27 citations
    Mathematics · Engineering · Medicine · #Mathematical Biology Tumor Growth #3D Printing in Biomedical Research #Cancer Cells and Metastasis
15. A multi-scale model of virus pandemic: Heterogeneous interactive\n entities in a globally connected world
    2020/06/06 by Nicola Bellomo, R. Bingham, Bellomo, Nicola +15 · 1 citation
    Mathematics · Medicine · #92C60 #92D30 #COVID-19 epidemiological studies #FOS: Biological sciences #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Populations and Evolution (q-bio.PE)
16. BiLO: Bilevel Local Operator Learning for PDE Inverse Problems
    2024/04/27 by Zhang, Ray Zirui, Xiaohui Xie, Miles, Christopher E. +3 · 3 citations
    Mathematics · #65M32 #FOS: Computer and information sciences #FOS: Mathematics #G.1.8 #I.2.6 #Machine Learning (cs.LG) #Numerical Analysis (math.NA) #Numerical methods in inverse problems #Optimization and Control (math.OC)