Is the Allee effect relevant in cancer evolution and therapy?

DOI10.3934/math.2020489zbMath1484.92072OpenAlexW3089210563MaRDI QIDQ2132320

Mario Ferraro, Marcello Delitala

Publication date: 27 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2020489

zbMATH Keywords

population dynamicsAllee effectdrug resistancecancer modellingcancer treatments

Mathematics Subject Classification ID

Medical applications (general) (92C50) Population dynamics (general) (92D25) Control problems involving ordinary differential equations (34H05) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (4)

Model Comparison and Uncertainty Quantification in Tumor Growth ⋮ Bayesian inference on the Allee effect in cancer cell line populations using time-lapse microscopy images ⋮ Delay differential equations for the spatially resolved simulation of epidemics with specific application to COVID‐19 ⋮ Is the Allee effect relevant to stochastic cancer model?

Cites Work

• Feedback regulation in a cancer stem cell model can cause an Allee effect
• Influences of Allee effects in the spreading of malignant tumours
• Mathematical biology. Vol. 1: An introduction.
• Combination therapies and intra-tumoral competition: insights from mathematical modeling
• A mathematical model of the enhancement of tumor vaccine efficacy by immunotherapy
• Mixed immunotherapy and chemotherapy of tumors: modeling, applications and biological interpretations
• On a 2D model of avascular tumor with weak Allee effect
• Interactions between the immune system and cancer: A brief review of non-spatial mathematical models
• A dynamical model of tumour immunotherapy
• How predator functional responses and Allee effects in prey affect the paradox of enrichment and population collapses
• A Mathematical Tumor Model with Immune Resistance and Drug Therapy: An Optimal Control Approach
• ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES

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