What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Cancer
- Thermodynamics
John Lowengrub focuses on Mathematical analysis, Nonlinear system, Classical mechanics, Surface tension and Numerical analysis.
His Partial differential equation, Method of matched asymptotic expansions and Euler equations study in the realm of Mathematical analysis interacts with subjects such as Rounding.
He works in the field of Nonlinear system, namely Multigrid method.
John Lowengrub mostly deals with Inviscid flow in his studies of Classical mechanics.
His biological study spans a wide range of topics, including Mechanics and Pulmonary surfactant.
His Numerical analysis research integrates issues from Isotropy, Condensed matter physics and Microstructure.
His most cited work include:
- Quasi–incompressible Cahn–Hilliard fluids and topological transitions (604 citations)
- Nonlinear modelling of cancer: Bridging the gap between cells and tumours (412 citations)
- Removing the stiffness from interfacial flows with surface tension (408 citations)
What are the main themes of his work throughout his whole career to date?
Mechanics, Nonlinear system, Mathematical analysis, Classical mechanics and Instability are his primary areas of study.
The Shear flow, Computer simulation and Fluid dynamics research he does as part of his general Mechanics study is frequently linked to other disciplines of science, such as Hele-Shaw flow, therefore creating a link between diverse domains of science.
In Nonlinear system, John Lowengrub works on issues like Tumor growth, which are connected to Biophysics.
His study in Geometry extends to Mathematical analysis with its themes.
His Instability study incorporates themes from Crystal growth, Surface tension and Anisotropy.
His Multigrid method research includes elements of Finite difference, Finite difference method and Applied mathematics.
He most often published in these fields:
- Mechanics (20.56%)
- Nonlinear system (19.86%)
- Mathematical analysis (15.68%)
What were the highlights of his more recent work (between 2017-2021)?
- Cancer research (8.01%)
- Nonlinear system (19.86%)
- Mathematical analysis (15.68%)
In recent papers he was focusing on the following fields of study:
John Lowengrub mainly investigates Cancer research, Nonlinear system, Mathematical analysis, Mechanics and Medical imaging.
His studies deal with areas such as Cell, Senescence, Cancer and Stem cell as well as Cancer research.
His Nonlinear system research is multidisciplinary, incorporating perspectives in Biological system, Cahn–Hilliard equation and Pattern formation.
His Boundary value problem and Numerical analysis study in the realm of Mathematical analysis connects with subjects such as Characteristic function.
His study in Numerical analysis is interdisciplinary in nature, drawing from both Regularization, Regular polygon, Isotropy, Finite difference method and Anisotropy.
In general Mechanics study, his work on Computational fluid dynamics often relates to the realm of Brownian motion, thereby connecting several areas of interest.
Between 2017 and 2021, his most popular works were:
- The Liver Tumor Segmentation Benchmark (LiTS) (133 citations)
- Mathematical modeling of tumor-associated macrophage interactions with the cancer microenvironment. (35 citations)
- Personalized Radiotherapy Design for Glioblastoma: Integrating Mathematical Tumor Models, Multimodal Scans, and Bayesian Inference (34 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Cancer
- Thermodynamics
Applied mathematics, Nonlinear system, Stem cell, Tumor microenvironment and Cancer research are his primary areas of study.
His Applied mathematics research is multidisciplinary, relying on both Conservation of mass, Regularization, Regular polygon, Multigrid method and Cartesian coordinate system.
John Lowengrub interconnects Adaptive mesh refinement, Isotropy, Numerical analysis, Finite difference method and Anisotropy in the investigation of issues within Multigrid method.
The Nonlinear system study combines topics in areas such as Stability, Finite difference, Cahn–Hilliard equation and Energy functional.
His Stem cell research is multidisciplinary, incorporating elements of Cancer-Associated Fibroblasts and Cell growth.
His Tumor microenvironment research is multidisciplinary, relying on both Tumor progression, Angiogenesis and Macrophage.
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