Modelling Heterogeneous Tumor Elimination or its Recurrence with ODE
Abstract
We present a new mathematical model, in the form of a system of ordinary differential equations (ODEs), governing the growth of cancer at the level of the cell population combined with treatment by the immune system or chemotherapy. This model describes the kinetic relationships between different states and cell types. Besides, it will be about presenting a mathematical analyse. The principal objective of this work is to study the recurrence, coexistence, and elimination of cells cancerous, under the assumption of a heterogeneous tumor. Also, we aim to study the influence of cancer stem cells on its dynamics and characterize the subsequent impact on the availability of factors that help tumor growth and resistance to treatment.
Domains
Artificial Intelligence [cs.AI] Bioinformatics [q-bio.QM] Group Theory [math.GR] Rings and Algebras [math.RA] Statistics [math.ST] Computational Engineering, Finance, and Science [cs.CE] Computation and Language [cs.CL] Computer Vision and Pattern Recognition [cs.CV] Graphics [cs.GR] Commutative Algebra [math.AC] Algebraic Geometry [math.AG] Classical Analysis and ODEs [math.CA] Dynamical Systems [math.DS]Origin | Files produced by the author(s) |
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