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Mathematical Modeling of Leukemia Chemotherapy in Bone Marrow

Dynamical Systems 2022-11-28 v1 Cell Behavior

Abstract

Acute Lymphoblastic Leukemia (ALL) accounts for the 80% of leukemias when coming down to pediatric ages. Survival of these patients has increased by a considerable amount in recent years. However, around 15-20% of treatments are unsuccessful. For this reason, it is definitely required to come up with new strategies to study and select which patients are at higher risk of relapse. Thus the importance to monitor the amount of leukemic cells to predict relapses in the first treatment phase. In this work we develop a mathematical model describing the behavior of ALL, examining the evolution of a leukemic clone when treatment is applied. In the study of this model it can be observed how the risk of relapse is connected with the response in the first treatment phase. This model is able to simulate cell dynamics without treatment, representing a virtual patient bone marrow behavior. Furthermore, several parameters are related to treatment dynamics, therefore proposing a basis for future works regarding childhood ALL survival improvement.

Keywords

Cite

@article{arxiv.2211.13547,
  title  = {Mathematical Modeling of Leukemia Chemotherapy in Bone Marrow},
  author = {Ana Niño-López and Salvador Chulián and Álvaro Martínez-Rubio and Cristina Blázquez-Goñi and María Rosa},
  journal= {arXiv preprint arXiv:2211.13547},
  year   = {2022}
}

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20 pages and a supplementary information document