Nonlinear modeling with mammographic evidence of carcinoma
type: Item
instance of: scholarly article
title: Nonlinear modeling with mammographic evidence of carcinoma
zbMATH Open document ID: 1197.92026
author: K. Drucis
author: W. Majda
author: M. Kolev
author: B. Zubik-Kowal
published in: Nonlinear Analysis. Real World Applications
publication date: 2010-10-14T00:00:00Z
Mathematics Subject Classification ID: 92C50
Mathematics Subject Classification ID: 92C55
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 65R20
zbMATH DE Number: 5800059
zbMATH Keywords: breast tumor progression
zbMATH Keywords: mammographic data
zbMATH Keywords: kinetic theory
zbMATH Keywords: active particles
zbMATH Keywords: nonlinear integro-differential equations
zbMATH Keywords: numerical simulations
describes a project that uses: Matlab
describes a project that uses: Ode15s
describes a project that uses: ode113
describes a project that uses: ode23s
describes a project that uses: MATLAB ODE suite
describes a project that uses: ode23
describes a project that uses: ode45
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2010.05.017
OpenAlex ID: W2076605401
cites work: A mathematical model for analysis of the cell cycle in cell lines derived from human tumors
cites work: Modelling cell death in human tumour cell lines exposed to the anticancer drug paclitaxel
cites work: Modelling the flow of cytometric data obtained from unperturbed human tumour cell lines: parameter fitting and comparison
cites work: Finite-difference and pseudo-spectral methods for the numerical simulations of in vitro human tumor cell population kinetics
cites work: Solutions for the cell cycle in cell lines derived from human tumors
cites work: Correlation between animal and mathematical models for prostate cancer progression
cites work: Q4459128
cites work: A mathematical model of cellular immune response to leukemia
cites work: A mathematical model for single cell cancer\,--\, immune system dynamics
cites work: NUMERICAL SOLUTION OF A MODEL FOR BRAIN CANCER PROGRESSION AFTER THERAPY
cites work: Explicit separation of growth and motility in a new tumor cord model
cites work: Mathematical models of therapeutical actions related to tumour and immune system competition
cites work: Modelling and mathematical problems related to tumor evolution and its interaction with the immune system
cites work: MATHEMATICAL TOPICS ON THE MODELLING COMPLEX MULTICELLULAR SYSTEMS AND TUMOR IMMUNE CELLS COMPETITION
cites work: ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES
cites work: Minimizing therapeutically induced anemia
cites work: Metamodeling tumor-immune system interaction, tumor evasion and immunotherapy
cites work: TUMOR-IMMUNE SYSTEM INTERACTION: MODELING THE TUMOR-STIMULATED PROLIFERATION OF EFFECTORS AND IMMUNOTHERAPY
cites work: MODELING TUMOR IMMUNOLOGY
cites work: On the onset of non-linearity for diffusion models of binary mixtures of biological materials by asymptotic analysis
cites work: EVOLUTIONARY DYNAMICS IN CARCINOGENESIS
cites work: Dynamics of tumor interaction with the host immune system
cites work: Kinetic equations modelling population dynamics
cites work: A Kinetic Model of Tumor/Immune System Cellular Interactions
cites work: Q5493430
cites work: On the kinetic theory for active particles: a model for tumor-immune system competition
cites work: Mathematical tools of the kinetic theory of active particles with some reasoning on the modelling progression and heterogeneity
cites work: The MATLAB ODE Suite
DOI: 10.1016/J.NONRWA.2010.05.017
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description: scientific article; zbMATH DE number 5800059