About a generalized model of lymphoma
DOI10.1016/j.jmaa.2011.08.043zbMath1227.92019OpenAlexW2057695042WikidataQ112197776 ScholiaQ112197776MaRDI QIDQ643586
Publication date: 2 November 2011
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.08.043
stability analysisFokker-Planck equationstochastic modeldeterministic approximationexpansion of the master equation
Probabilistic models, generic numerical methods in probability and statistics (65C20) Dynamical systems in biology (37N25) Medical applications (general) (92C50) Cell biology (92C37) Qualitative investigation and simulation of ordinary differential equation models (34C60) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)
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Cites Work
- A history of the study of solid tumour growth: the contribution of mathematical modelling
- Analysis of the Hopf bifurcation for the family of angiogenesis models
- Global existence for a haptotaxis model of cancer invasion with tissue remodeling
- Local existence and uniqueness of solutions to approximate systems of 1D tumor invasion model
- Global existence for a mathematical model of the immune response to cancer
- Stochastic models of tumor growth and the probability of elimination by cytotoxic cells
- A mathematical model for single cell cancer\,--\, immune system dynamics
- Time delay in necrotic core formation
- A density-dependent chemotaxis-haptotaxis system modeling cancer invasion
- Reduction of cytotoxicity to normal tissues by new regimens of cell-cycle phase-specific drugs
- A biomathematical model of human thrombopoiesis under chemotherapy
- Stochastic competitive exclusion in the maintenance of the naïve T cell repertoire
- Stochastic niche structure and diversity maintenance in the T cell repertoire
- Qualitative analysis of a nonlinear integrodifferential equation modeling tumor-host dynamics
- New approach to modeling of antiangiogenic treatment on the basis of Hahnfeldt et al. model
- A stochastic model in tumor growth
- Interactions between the immune system and cancer: A brief review of non-spatial mathematical models
- The ecology and evolutionary biology of cancer: a review of mathematical models of necrosis and tumor cell diversity
- A survey of models for tumor-immune system dynamics
- Cellular Immunotherapy for High Grade Gliomas: Mathematical Analysis Deriving Efficacious Infusion Rates Based on Patient Requirements
- ANGIOGENESIS MODEL WITH CARRYING CAPACITY DEPENDING ON VESSEL DENSITY
- THREE TYPES OF SIMPLE DDE'S DESCRIBING TUMOR GROWTH
- Multi-dimensional Lotka-Volterra systems for carcinogenesis mutations
- Stability Analysis and Comparison of the Models for Carcinogenesis Mutations in the Case of Two Stages of Mutations
- ANTI-TUMOR IMMUNITY AND TUMOR ANTI-IMMUNITY IN A MATHEMATICAL MODEL OF TUMOR IMMUNOTHERAPY
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