Dynamics of competing heterogeneous clones in blood cancers explains multiple observations -- a mathematical modeling approach

DOI10.3934/mbe.2020389zbMath1471.92091OpenAlexW3095367833WikidataQ104619386 ScholiaQ104619386MaRDI QIDQ1979616

Katrine O. Bangsgaard, Vibe Skov, Hans C. Hasselbalch, Morten Andersen, Lasse Kjær, Johnny Tom Ottesen

Publication date: 3 September 2021

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2020389

zbMATH Keywords

mathematical modelingblood cancerhematopoiesisinflammationstem cell dynamicscompetition dynamics

Mathematics Subject Classification ID

Developmental biology, pattern formation (92C15) Mathematical modeling or simulation for problems pertaining to biology (92-10) Pathology, pathophysiology (92C32)

Cites Work

• Multiple limit cycles for three dimensional Lotka-Volterra equations
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• Stability analysis of a model of interaction between the immune system and cancer cells in chronic myelogenous leukemia
• Bridging blood cancers and inflammation: the reduced cancitis model
• Mathematical analysis of the cancitis model and the role of inflammation in blood cancer progression
• Global dynamics of healthy and cancer cells competing in the hematopoietic system
• Oscillations in a white blood cell production model with multiple differentiation stages
• Nonlinear Aspects of Competition Between Three Species
• Hopf bifurcations in competitive three-dimensional Lotka–Volterra systems
• Three-Dimensional Competitive Lotka--Volterra Systems with no Periodic Orbits

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