The impact of competition between cancer cells and healthy cells on optimal drug delivery
From MaRDI portal
Publication:5001304
DOI10.1051/mmnp/2019043zbMath1473.35591arXiv1806.07477OpenAlexW3014435352MaRDI QIDQ5001304
Publication date: 19 July 2021
Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.07477
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Cell biology (92C37) Cell movement (chemotaxis, etc.) (92C17)
Related Items (2)
Designing experimental conditions to use the Lotka-Volterra model to infer tumor cell line interaction types ⋮ Optimizing combination therapy in a murine model of HER2+ breast cancer
Cites Work
- Unnamed Item
- Dissecting the dynamics of epigenetic changes in phenotype-structured populations exposed to fluctuating environments
- Continuous and discrete mathematical models of tumor-induced angiogenesis
- Mathematical biology. Vol. 1: An introduction.
- Combination therapies and intra-tumoral competition: insights from mathematical modeling
- Asymptotic analysis and optimal control of an integro-differential system modelling healthy and cancer cells exposed to chemotherapy
- Optimal therapy scheduling based on a pair of collaterally sensitive drugs
- Modeling the dynamics of heterogeneity of solid tumors in response to chemotherapy
- Modeling the chemotherapy-induced selection of drug-resistant traits during tumor growth
- A multiscale mathematical model of tumour invasive growth
- Optimization of an \textit{in vitro} chemotherapy to avoid resistant tumours
- Stochastic modeling of drug resistance in cancer
- The impact of cell density and mutations in a model of multidrug resistance in solid tumors
- Modeling continuous levels of resistance to multidrug therapy in cancer
- Modeling the effects of space structure and combination therapies on phenotypic heterogeneity and drug resistance in solid tumors
- Numerical methods for high-dimensional probability density function equations
- The Hele-Shaw asymptotics for mechanical models of tumor growth
- Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies
- A literature survey of low-rank tensor approximation techniques
- Global stability with selection in integro-differential Lotka-Volterra systems modelling trait-structured populations
- Mathematical Models of Avascular Tumor Growth
- Dirac concentrations in Lotka-Volterra parabolic PDEs
This page was built for publication: The impact of competition between cancer cells and healthy cells on optimal drug delivery
