4.6 Review

Data-driven spatio-temporal modelling of glioblastoma

Related references

Note: Only part of the references are listed.
Review Oncology

Unravelling glioblastoma heterogeneity by means of single-cell RNA sequencing

Ana Hernandez Martinez et al.

Summary: Glioblastoma is an invasive and deadly brain cancer, and its heterogeneity is the main cause of treatment failure. Single-cell RNA sequencing technology can reveal the complex composition of tumors, including inter-patient differences and intratumoral heterogeneity. The discovery of distinct cell phenotypes can lead to targeted treatment approaches.

CANCER LETTERS (2022)

Article Oncology

Spatially resolved multi-omics deciphers bidirectional tumor-host interdependence in glioblastoma

Vidhya M. Ravi et al.

Summary: This study utilizes spatially resolved transcriptomics, metabolomics, and proteomics to characterize glioblastomas and uncover their spatial organization and adaptive mechanisms to inflammatory and metabolic stimuli. The integration of metabolic imaging and imaging mass cytometry reveals the interdependence between tumor and host in a locoregional manner, leading to spatially exclusive adaptive transcriptional programs. The findings confirm the importance of environmental stress in shaping glioblastoma subclones and their transcriptional programs.

CANCER CELL (2022)

Article Biochemical Research Methods

Efficient Bayesian inference for stochastic agent-based models

Andreas Christ Solvsten Jorgensen et al.

Summary: This study compares two machine learning methods to mitigate the computational expense in inference of real-world problems. It demonstrates that good accuracy can be achieved with relatively few simulations, making machine learning approaches much faster than traditional simulation-based methods. However, no algorithm offers a one-size-fits-all solution for model parameter inference, and specific inference techniques should be chosen based on the real-world application. Machine learning approaches that create direct inference machines show promise for real-world applications. Multiple methods should be employed and the most reliable one selected based on predetermined criteria.

PLOS COMPUTATIONAL BIOLOGY (2022)

Review Multidisciplinary Sciences

The role of evolutionary game theory in spatial and non-spatial models of the survival of cooperation in cancer: a review

Helena Coggan et al.

Summary: Evolutionary game theory is a branch of mathematics that studies populations of individuals interacting to receive pay-offs. In recent years, there has been a surge of interest in applying it to cancer modeling to understand how cancerous mutations spread and how intercellular cooperation persists in tumor-cell populations.

JOURNAL OF THE ROYAL SOCIETY INTERFACE (2022)

Article Clinical Neurology

Influence of supramarginal resection on survival outcomes after gross-total resection of IDH-wild-type glioblastoma

Tito Vivas-Buitrago et al.

Summary: The study found that performing at least 20% SMR of the CE tumor is associated with improved OS, while over 60% SMR does not significantly influence OS.

JOURNAL OF NEUROSURGERY (2022)

Review Biochemistry & Molecular Biology

Advances in Research of Adult Gliomas

Alina Finch et al.

Summary: This review discusses recent advances in understanding diffuse glioma development and progression, including the use of various models and techniques, as well as the understanding of glioma heterogeneity, gene expression and DNA methylation changes. It also covers current treatment options and future clinical trials aimed at improving early diagnosis and disease monitoring.

INTERNATIONAL JOURNAL OF MOLECULAR SCIENCES (2021)

Article Multidisciplinary Sciences

Treating Glioblastoma Multiforme (GBM) with super hyperfractionated radiation therapy: Implication of temporal dose fractionation optimization including cancer stem cell dynamics

Victoria Y. Yu et al.

Summary: The study demonstrates that substantial delay in GBM local tumor recurrence can be achieved with a super hyperfractionated treatment approach, which involves infrequent fractions followed by dense once per day fractions. Escalating the dose to BEDnormal of 150 Gy further delays recurrence time.

PLOS ONE (2021)

Article Biochemical Research Methods

A mesoscopic simulator to uncover heterogeneity and evolutionary dynamics in tumors

Juan Jiménez-Sánchez et al.

PLoS Computational Biology (2021)

Article Multidisciplinary Sciences

Emulator-based Bayesian optimization for efficient multi-objective calibration of an individual-based model of malaria

Theresa Reiker et al.

Summary: Individual-based models are essential in the global fight against infectious diseases, but the complexity of the models can pose challenges for calibration. The authors propose using a Bayesian optimization framework to calibrate a complex malaria transmission simulator, resulting in improved fitting outcomes compared to previous calibrations.

NATURE COMMUNICATIONS (2021)

Article Multidisciplinary Sciences

The white matter is a pro-differentiative niche for glioblastoma

Lucy J. Brooks et al.

Summary: The study reveals that glioblastoma cells infiltrating into the white matter acquire a pre-oligodendrocyte-like fate, leading to decreased proliferation and invasion of tumors. This differentiation is a response to white matter injury, driven by the upregulation of SOX10. Additionally, the study suggests that exploiting this latent program may offer treatment opportunities for a subset of patients.

NATURE COMMUNICATIONS (2021)

Review Medicine, General & Internal

In Silico Mathematical Modelling for Glioblastoma: A Critical Review and a Patient-Specific Case

Jacopo Falco et al.

Summary: The study of mathematical models for glioblastoma aims to identify suitable theoretical models and simulation tools to understand and predict tumor evolution. Mathematical models have the potential to benefit clinicians, but further comparative trials are needed to prove their impact on clinical practice.

JOURNAL OF CLINICAL MEDICINE (2021)

Review Oncology

The 2021 WHO Classification of Tumors of the Central Nervous System: a summary

David N. Louis et al.

Summary: The fifth edition of the WHO Classification of Tumors of the Central Nervous System integrates molecular diagnostics into CNS tumor classification, introduces different approaches to tumor nomenclature and grading, and emphasizes the importance of integrated diagnoses and layered reports.

NEURO-ONCOLOGY (2021)

Article Oncology

Determining optimal clinical target volume margins in high-grade glioma based on microscopic tumor extension and magnetic resonance imaging

Shulun Nie et al.

Summary: In this study, a consecutive macropathologic analysis was conducted to assess microscopic extension in high-grade glioma and determine individualized clinical target volume margins for radiotherapy. The study identified factors such as tumor grade, SVZ contact, MGMT methylation, IDH mutation, and 1p/19q co-deletion status as predictors of microscopic extension. A multivariable prediction model was developed with high predictive accuracy, aiding clinicians in CTV delineation for HGG patients.

RADIATION ONCOLOGY (2021)

Article Oncology

CARTmath-A Mathematical Model of CAR-T Immunotherapy in Preclinical Studies of Hematological Cancers

Luciana R. C. Barros et al.

Summary: CAR-T cell immunotherapy, utilizing engineered T lymphocytes to target cancer antigens, has shown success in treating hematological cancers. By developing a mathematical model, in silico experiments were conducted to study the interaction between tumor cells and CAR-T cells in immunodeficient mouse models, aiding in optimizing therapy protocols and reducing preclinical experiments. The model has the potential to reproduce various CAR-T cell therapy scenarios and could serve as a valuable tool for assessing therapy efficacy through in silico trials.

CANCERS (2021)

Review Cell Biology

Single-Cell Omics in Dissecting Immune Microenvironment of Malignant Gliomas-Challenges and Perspectives

Bozena Kaminska et al.

Summary: Single-cell technologies play a crucial role in studying the functional diversity of immune cells in malignant gliomas, allowing precise definition of functional phenotypes under different genetic alterations, which is essential for designing effective immunotherapies. These technologies also identify key cell subpopulations and signaling pathways that influence tumor progression, patient survival, and susceptibility to immunotherapy, paving the way for rational design of oncoimmunotherapeutics.

CELLS (2021)

Article Multidisciplinary Sciences

A persistent invasive phenotype in post-hypoxic tumor cells is revealed by fate mapping and computational modeling

Heber L. Rocha et al.

Summary: Hypoxia plays a critical role in solid tumor progression and aggressiveness. A new hypoxia fate mapping system allows for the tracking of post-hypoxic cells within tumors. Computational modeling was used to investigate the motility and phenotypic persistence of hypoxic and post-hypoxic cells during tumor progression.

ISCIENCE (2021)

Article Oncology

Gradient of Developmental and Injury Response transcriptional states defines functional vulnerabilities underpinning glioblastoma heterogeneity

Laura M. Richards et al.

Summary: The study revealed that glioblastomas contain diverse cell populations, with GSCs showing high transcriptional heterogeneity associated with normal neural development and inflammatory wound response. Genome-wide CRISPR-Cas9 dropout screens validated this observation. Additionally, the majority of malignant cells were found to organize along an orthogonal astrocyte maturation gradient while retaining founder GSC transcriptional programs.

NATURE CANCER (2021)

Article Biophysics

A quantitative high-resolution computational mechanics cell model for growing and regenerating tissues

Paul Van Liedekerke et al.

BIOMECHANICS AND MODELING IN MECHANOBIOLOGY (2020)

Review Biology

A Current Perspective on Wound Healing and Tumour-Induced Angiogenesis

Jennifer A. Flegg et al.

BULLETIN OF MATHEMATICAL BIOLOGY (2020)

Article Cell & Tissue Engineering

Outer Radial Glia-like Cancer Stem Cells Contribute to Heterogeneity of Glioblastoma

Aparna Bhaduri et al.

CELL STEM CELL (2020)

Article Oncology

Different ODE models of tumor growth can deliver similar results

James A. Koziol et al.

BMC CANCER (2020)

Article Biochemical Research Methods

From cells to tissue: How cell scale heterogeneity impacts glioblastoma growth and treatment response

Jill A. Gallaher et al.

PLOS COMPUTATIONAL BIOLOGY (2020)

Article Multidisciplinary Sciences

The frontier of simulation-based inference

Kyle Cranmer et al.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2020)

Review Clinical Neurology

Tractography in Neurosurgery: A Systematic Review of Current Applications

Tim Wende et al.

JOURNAL OF NEUROLOGICAL SURGERY PART A-CENTRAL EUROPEAN NEUROSURGERY (2020)

Article Physiology

Drug-Induced Resistance in Micrometastases: Analysis of Spatio-Temporal Cell Lineages

Judith Perez-Velazquez et al.

FRONTIERS IN PHYSIOLOGY (2020)

Article Multidisciplinary Sciences

The blending region hybrid framework for the simulation of stochastic reaction-diffusion processes

Christian A. Yates et al.

JOURNAL OF THE ROYAL SOCIETY INTERFACE (2020)

Article Biochemical Research Methods

Mathematical modelling reveals cellular dynamics within tumour spheroids

Joshua A. Bull et al.

PLOS COMPUTATIONAL BIOLOGY (2020)

Review Health Care Sciences & Services

The Application of Deep Convolutional Neural Networks to Brain Cancer Images: A Survey

Amin Zadeh Shirazi et al.

JOURNAL OF PERSONALIZED MEDICINE (2020)

Article Biology

Tumor growth and calcification in evolving microenvironmental geometries

Ying Chen et al.

JOURNAL OF THEORETICAL BIOLOGY (2019)

Article Biochemistry & Molecular Biology

An Integrative Model of Cellular States, Plasticity, and Genetics for Glioblastoma

Cyril Neftel et al.

Article Biochemical Research Methods

Three-dimensional tumor growth in time-varying chemical fields: a modeling framework and theoretical study

Markos Antonopoulos et al.

BMC BIOINFORMATICS (2019)

Article Computer Science, Interdisciplinary Applications

Personalized Radiotherapy Design for Glioblastoma: Integrating Mathematical Tumor Models, Multimodal Scans, and Bayesian Inference

Jana Lipkova et al.

IEEE TRANSACTIONS ON MEDICAL IMAGING (2019)

Review Oncology

Mathematical Models of Cancer Cell Plasticity

Hasitha N. Weerasinghe et al.

JOURNAL OF ONCOLOGY (2019)

Article Biochemical Research Methods

From energy to cellular forces in the Cellular Potts Model: An algorithmic approach

Elisabeth G. Rens et al.

PLOS COMPUTATIONAL BIOLOGY (2019)

Article Biology

Mathematical Oncology

Alexander R. A. Anderson et al.

BULLETIN OF MATHEMATICAL BIOLOGY (2018)

Article Chemistry, Physical

Multi-resolution polymer Brownian dynamics with hydrodynamic interactions

Edward Rolls et al.

JOURNAL OF CHEMICAL PHYSICS (2018)

Article Biology

The impact of exclusion processes on angiogenesis models

Samara Pillay et al.

JOURNAL OF MATHEMATICAL BIOLOGY (2018)

Review Multidisciplinary Sciences

Spatially extended hybrid methods: a review

Cameron A. Smith et al.

JOURNAL OF THE ROYAL SOCIETY INTERFACE (2018)

Review Multidisciplinary Sciences

Towards personalized computational oncology: from spatial models of tumour spheroids, to organoids, to tissues

Aleksandra Karolak et al.

JOURNAL OF THE ROYAL SOCIETY INTERFACE (2018)

Article Biochemical Research Methods

PhysiCell: An open source physics-based cell simulator for 3-D multicellular systems

Ahmadreza Ghaffarizadeh et al.

PLOS COMPUTATIONAL BIOLOGY (2018)

Article Oncology

Mathematical modeling of tumor-associated macrophage interactions with the cancer microenvironment

Grace Mahlbacher et al.

JOURNAL FOR IMMUNOTHERAPY OF CANCER (2018)

Review Oncology

Mathematical models of tumor cell proliferation: A review of the literature

Angela M. Jarrett et al.

EXPERT REVIEW OF ANTICANCER THERAPY (2018)

Article Multidisciplinary Sciences

Unravelling subclonal heterogeneity and aggressive disease states in TNBC through single-cell RNA-seq

Mihriban Karaayvaz et al.

NATURE COMMUNICATIONS (2018)

Article Multidisciplinary Sciences

Scalable population-level modelling of biological cells incorporating mechanics and kinetics in continuous time

Stefan Engblom et al.

ROYAL SOCIETY OPEN SCIENCE (2018)

Article Multidisciplinary Sciences

Design Optimization of Tumor Vasculature-Bound Nanoparticles

Ibrahim M. Chamseddine et al.

SCIENTIFIC REPORTS (2018)

Article Biology

A Patient-Specific Anisotropic Diffusion Model for Brain Tumour Spread

Amanda Swan et al.

BULLETIN OF MATHEMATICAL BIOLOGY (2018)

Article Oncology

A Brownian dynamics tumor progression simulator with application to glioblastoma

Rebecca L. Klank et al.

CONVERGENT SCIENCE PHYSICAL ONCOLOGY (2018)

Review Multidisciplinary Sciences

The biology and mathematical modelling of glioma invasion: a review

J. C. L. Alfonso et al.

JOURNAL OF THE ROYAL SOCIETY INTERFACE (2017)

Article Biochemistry & Molecular Biology

Mathematical modeling links Wnt signaling to emergent patterns of metabolism in colon cancer

Mary Lee et al.

MOLECULAR SYSTEMS BIOLOGY (2017)

Article Multidisciplinary Sciences

Fate mapping of human glioblastoma reveals an invariant stem cell hierarchy

Xiaoyang Lan et al.

NATURE (2017)

Review Biology

Vertex models: from cell mechanics to tissue morphogenesis

Silvanus Alt et al.

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES (2017)

Article Biochemical Research Methods

Comparing individual-based approaches to modelling the self-organization of multicellular tissues

James M. Osborne et al.

PLOS COMPUTATIONAL BIOLOGY (2017)

Review Cell Biology

The Role of Hypoxia in Glioblastoma Invasion

Ana Rita Monteiro et al.

CELLS (2017)

Article Multidisciplinary Sciences

Mathematical Analysis of Glioma Growth in a Murine Model

Erica M. Rutter et al.

SCIENTIFIC REPORTS (2017)

Article Physics, Fluids & Plasmas

Modeling angiogenesis: A discrete to continuum description

Samara Pillay et al.

PHYSICAL REVIEW E (2017)

Article Multidisciplinary Sciences

Coupling all-atom molecular dynamics simulations of ions in water with Brownian dynamics

Radek Erban

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2016)

Article Biochemical Research Methods

Inferring Growth Control Mechanisms in Growing Multi-cellular Spheroids of NSCLC Cells from Spatial-Temporal Image Data

Nick Jagiella et al.

PLOS COMPUTATIONAL BIOLOGY (2016)

Article Biochemical Research Methods

Feedback, Lineages and Self-Organizing Morphogenesis

Sameeran Kunche et al.

PLOS COMPUTATIONAL BIOLOGY (2016)

Article Mathematical & Computational Biology

A MULTISCALE MODEL FOR GLIOMA SPREAD INCLUDING CELL-TISSUE INTERACTIONS AND PROLIFERATION

Christian Engwer et al.

MATHEMATICAL BIOSCIENCES AND ENGINEERING (2016)

Article Oncology

Glioblastoma: Overview of Disease and Treatment

Mary Elizabeth Davis

CLINICAL JOURNAL OF ONCOLOGY NURSING (2016)

Article Biology

Multiscale modelling of palisade formation in gliobastoma multiforme

Alfonso Caiazzo et al.

JOURNAL OF THEORETICAL BIOLOGY (2015)

Review Oncology

Simulating cancer growth with multiscale agent-based modeling

Zhihui Wang et al.

SEMINARS IN CANCER BIOLOGY (2015)

Article Mathematics, Interdisciplinary Applications

Simulating tissue mechanics with agent-based models: concepts, perspectives and some novel results

P. Van Liedekerke et al.

COMPUTATIONAL PARTICLE MECHANICS (2015)

Article Biology

Glioma follow white matter tracts: a multiscale DTI-based model

Christian Engwer et al.

JOURNAL OF MATHEMATICAL BIOLOGY (2015)

Article Biology

Mesoscopic and continuum modelling of angiogenesis

F. Spill et al.

JOURNAL OF MATHEMATICAL BIOLOGY (2015)

Review Oncology

The mathematics of cancer: integrating quantitative models

Philipp M. Altrock et al.

NATURE REVIEWS CANCER (2015)

Article Social Sciences, Interdisciplinary

The Complexities of Agent-Based Modeling Output Analysis

Ju-Sung Lee et al.

JASSS-THE JOURNAL OF ARTIFICIAL SOCIETIES AND SOCIAL SIMULATION (2015)

Article Engineering, Biomedical

A stable scheme for a nonlinear, multiphase tumor growth model with an elastic membrane

Ying Chen et al.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING (2014)

Review Neurosciences

A neurocentric perspective on glioma invasion

Vishnu Anand Cuddapah et al.

NATURE REVIEWS NEUROSCIENCE (2014)

Article Biochemical Research Methods

Lattice-Based Model of Ductal Carcinoma In Situ Suggests Rules for Breast Cancer Progression to an Invasive State

Eline Boghaert et al.

PLOS COMPUTATIONAL BIOLOGY (2014)

Article Biology

A Cell-Based Model of Extracellular-Matrix-Guided Endothelial Cell Migration During Angiogenesis

Josephine T. Daub et al.

BULLETIN OF MATHEMATICAL BIOLOGY (2013)

Article Biochemistry & Molecular Biology

The Somatic Genomic Landscape of Glioblastoma

Cameron W. Brennan et al.

Article Biology

Modelling biological invasions: Individual to population scales at interfaces

J. Belmonte-Beitia et al.

JOURNAL OF THEORETICAL BIOLOGY (2013)

Letter Biology

Improved patient-specific calibration for agent-based cancer modeling

Alice Z. Hyun et al.

JOURNAL OF THEORETICAL BIOLOGY (2013)

Review Biology

A review of mathematical models for the formation of vascular networks

M. Scianna et al.

JOURNAL OF THEORETICAL BIOLOGY (2013)

Article Mathematics, Interdisciplinary Applications

A MULTISCALE MOVING BOUNDARY MODEL ARISING IN CANCER INVASION

Dumitru Trucu et al.

MULTISCALE MODELING & SIMULATION (2013)

Article Biochemical Research Methods

Analysis of Initial Cell Spreading Using Mechanistic Contact Formulations for a Deformable Cell Model

Tim Odenthal et al.

PLOS COMPUTATIONAL BIOLOGY (2013)

Article Biochemical Research Methods

An Integrated Computational/Experimental Model of Lymphoma Growth

Hermann B. Frieboes et al.

PLOS COMPUTATIONAL BIOLOGY (2013)

Review Oncology

Cellular Potts modeling of tumor growth, tumor invasion, and tumor evolution

Andras Szabo et al.

FRONTIERS IN ONCOLOGY (2013)

Article Mathematical & Computational Biology

Modeling the Spatial Distribution of Chronic Tumor Hypoxia: Implications for Experimental and Clinical Studies

Gibin Powathil et al.

COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE (2012)

Review Oncology

Interstitial guidance of cancer invasion

Pavlo G. Gritsenko et al.

JOURNAL OF PATHOLOGY (2012)

Article Biology

'Go or Grow': the key to the emergence of invasion in tumour progression?

H. Hatzikirou et al.

MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA (2012)

Article Biology

Applying a patient-specific bio-mathematical model of glioma growth to develop virtual [18F]-FMISO-PET images

Stanley Gu et al.

MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA (2012)

Article Physics, Fluids & Plasmas

Efficient coarse simulation of a growing avascular tumor

Michail E. Kavousanakis et al.

PHYSICAL REVIEW E (2012)

Article Biochemical Research Methods

The Impact of Phenotypic Switching on Glioblastoma Growth and Invasion

Philip Gerlee et al.

PLOS COMPUTATIONAL BIOLOGY (2012)

Review Engineering, Biomedical

Multiscale Cancer Modeling

Thomas S. Deisboeck et al.

ANNUAL REVIEW OF BIOMEDICAL ENGINEERING, VOL 13 (2011)

Review Biochemistry & Molecular Biology

Hallmarks of Cancer: The Next Generation

Douglas Hanahan et al.

Article Biology

Identification of intrinsic in vitro cellular mechanisms for glioma invasion

Marco Tektonidis et al.

JOURNAL OF THEORETICAL BIOLOGY (2011)

Article Computer Science, Interdisciplinary Applications

An adaptive multigrid algorithm for simulating solid tumor growth using mixture models

S. M. Wise et al.

MATHEMATICAL AND COMPUTER MODELLING (2011)

Review Biochemistry & Molecular Biology

Coupling biomechanics to a cellular level model: An approach to patient-specific image driven multi-scale and multi-physics tumor simulation

Christian P. May et al.

PROGRESS IN BIOPHYSICS & MOLECULAR BIOLOGY (2011)

Review Biochemistry & Molecular Biology

The role of the microenvironment in tumor growth and invasion

Yangjin Kim et al.

PROGRESS IN BIOPHYSICS & MOLECULAR BIOLOGY (2011)

Article Mathematical & Computational Biology

Developing a multiscale, multi-resolution agent-based brain tumor model by graphics processing units

Le Zhang et al.

THEORETICAL BIOLOGY AND MEDICAL MODELLING (2011)

Article Mathematical & Computational Biology

Lattice-Gas Cellular Automaton Models for Biology: From Fluids to Cells

Bastien Chopard et al.

ACTA BIOTHEORETICA (2010)

Review Cell Biology

Classic and contemporary approaches to modeling biochemical reactions

William W. Chen et al.

GENES & DEVELOPMENT (2010)

Article Biology

Three-dimensional multispecies nonlinear tumor growth-II: Tumor invasion and angiogenesis

Hermann B. Frieboes et al.

JOURNAL OF THEORETICAL BIOLOGY (2010)

Article Biochemistry & Molecular Biology

MicroRNA-451 Regulates LKB1/AMPK Signaling and Allows Adaptation to Metabolic Stress in Glioma Cells

Jakub Godlewski et al.

MOLECULAR CELL (2010)

Article Demography

Biomechanical and Nutrient Controls in the Growth of Mammalian Cell Populations

Stefan Hoehme et al.

MATHEMATICAL POPULATION STUDIES (2010)

Article Computer Science, Artificial Intelligence

Extrapolating glioma invasion margin in brain magnetic resonance images: Suggesting new irradiation margins

Ender Konukoglu et al.

MEDICAL IMAGE ANALYSIS (2010)

Review Mathematics, Applied

Nonlinear modelling of cancer: bridging the gap between cells and tumours

J. S. Lowengrub et al.

NONLINEARITY (2010)

Article Physics, Fluids & Plasmas

Particle-based model to simulate the micromechanics of biological cells

P. Van Liedekerke et al.

PHYSICAL REVIEW E (2010)

Review Multidisciplinary Sciences

A hybrid approach to multi-scale modelling of cancer

J. M. Osborne et al.

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2010)

Article Oncology

Multiparameter Computational Modeling of Tumor Invasion

Elaine L. Bearer et al.

CANCER RESEARCH (2009)

Article Computer Science, Interdisciplinary Applications

Simulating brain tumor heterogeneity with a multiscale agent-based model: Linking molecular signatures, phenotypes and expansion rate

Le Zhang et al.

MATHEMATICAL AND COMPUTER MODELLING (2009)

Article Computer Science, Interdisciplinary Applications

Multi-scale, multi-resolution brain cancer modeling

Le Zhang et al.

MATHEMATICS AND COMPUTERS IN SIMULATION (2009)

Article Physics, Fluids & Plasmas

Comparing the growth kinetics of cell populations in two and three dimensions

M. Radszuweit et al.

PHYSICAL REVIEW E (2009)

Article Multidisciplinary Sciences

3D Multi-Cell Simulation of Tumor Growth and Angiogenesis

Abbas Shirinifard et al.

PLOS ONE (2009)

Article Multidisciplinary Sciences

Multi-scale models of cell and tissue dynamics

Magdalena A. Stolarska et al.

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2009)

Article Biology

Three-dimensional multispecies nonlinear tumor growth - I - Model and numerical method

S. M. Wise et al.

JOURNAL OF THEORETICAL BIOLOGY (2008)

Article Physics, Fluids & Plasmas

Elastic properties and mechanical stability of chiral and filled viral capsids

Mathias Buenemann et al.

PHYSICAL REVIEW E (2008)

Review Oncology

Integrative mathematical oncology

Alexander R. A. Anderson et al.

NATURE REVIEWS CANCER (2008)

Article Physics, Multidisciplinary

Classifying the expansion kinetics and critical surface dynamics of growing cell populations

M. Block et al.

PHYSICAL REVIEW LETTERS (2007)

Review Clinical Neurology

The evolution of mathematical Modeling of glioma proliferation and invasion

Hana L. P. Harpold et al.

JOURNAL OF NEUROPATHOLOGY AND EXPERIMENTAL NEUROLOGY (2007)

Review Neurosciences

Computer simulation of glioma growth and morphology

Hermann B. Frieboes et al.

NEUROIMAGE (2007)

Article Mathematical & Computational Biology

Simulating non-small cell lung cancer with a multiscale agent-based model

Zhihui Wang et al.

THEORETICAL BIOLOGY AND MEDICAL MODELLING (2007)

Article Mathematics, Applied

A hybrid model for tumor spheroid growth in vitro I: Theoretical development and early results

Yangjin Kim et al.

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES (2007)

Article Biochemistry & Molecular Biology

Tumor morphology and phenotypic evolution driven by selective pressure from the microenvironment

Alexander R. A. Anderson et al.

Article Biology

The effects of EGF-receptor density on multiscale tumor growth patterns

CA Athale et al.

JOURNAL OF THEORETICAL BIOLOGY (2006)

Article Oncology

An integrated computational/experimental model of tumor invasion

HB Frieboes et al.

CANCER RESEARCH (2006)

Article Biophysics

A multiscale model for avascular tumor growth

Y Jiang et al.

BIOPHYSICAL JOURNAL (2005)

Article Oncology

Morphologic instability and cancer invasion

V Cristini et al.

CLINICAL CANCER RESEARCH (2005)

Article Biochemistry & Molecular Biology

A single-cell-based model of tumor growth in vitro:: monolayers and spheroids

D Drasdo et al.

PHYSICAL BIOLOGY (2005)

Article Radiology, Nuclear Medicine & Medical Imaging

Simulation of anisotropic growth of low-grade gliomas using diffusion tensor imaging

S Jbabdi et al.

MAGNETIC RESONANCE IN MEDICINE (2005)

Article Mathematics, Interdisciplinary Applications

Coarse graining in simulated cell populations

D Drasdo

ADVANCES IN COMPLEX SYSTEMS (2005)

Article Medicine, General & Internal

Radiotherapy plus concomitant and adjuvant temozolomide for glioblastoma

R Stupp et al.

NEW ENGLAND JOURNAL OF MEDICINE (2005)

Review Biology

Mathematical modeling of tumor-induced angiogenesis

NV Mantzaris et al.

JOURNAL OF MATHEMATICAL BIOLOGY (2004)

Article Physics, Condensed Matter

Efficient phase-field simulation of quantum dot formation in a strained heteroepitaxial film

SM Wise et al.

SUPERLATTICES AND MICROSTRUCTURES (2004)

Article Multidisciplinary Sciences

Identification of human brain tumour initiating cells

SK Singh et al.

NATURE (2004)

Article Physics, Multidisciplinary

Improving the realism of the cellular Potts model in simulations of biological cells

NB Ouchi et al.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2003)

Review Oncology

Cost of migration: Invasion of malignant gliomas and implications for treatment

A Giese et al.

JOURNAL OF CLINICAL ONCOLOGY (2003)

Article Biology

Nonlinear simulation of tumor growth

V Cristini et al.

JOURNAL OF MATHEMATICAL BIOLOGY (2003)

Article Multidisciplinary Sciences

Agent-based modeling: Methods and techniques for simulating human systems

E Bonabeau

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2002)

Article Computer Science, Interdisciplinary Applications

Simple ODE models of tumor growth and anti-angiogenic or radiation treatment

RK Sachs et al.

MATHEMATICAL AND COMPUTER MODELLING (2001)

Article Biology

Simulated brain tumor growth dynamics using a three-dimensional cellular automaton

AR Kansal et al.

JOURNAL OF THEORETICAL BIOLOGY (2000)

Article Chemistry, Physical

Efficient exact stochastic simulation of chemical systems with many species and many channels

MA Gibson et al.

JOURNAL OF PHYSICAL CHEMISTRY A (2000)

Article Biology

Cellular automaton of idealized brain tumor growth dynamics

AR Kansal et al.

BIOSYSTEMS (2000)