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Session S01 - Modeling and Computation for Control and Optimization of Biological and Physical Systems

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Comparative study of the hematopoietic reconstitution of a group of patients of the Arnaldo Milian Clinical-Surgical Hospital of Santa Clara

Miguel Angel Martínez Hernández

Central University Marta Abreu of Las Villas, Cuba   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

A mathematical model, based on ordinary differential equations, is applied to the study of the hematopoietic reconstitution of a group of sixteen patients with Hodgkin and non-Hodgkin Lymphoma, after having undergone Autologous Transplantation of Hematopoietic Stem Cells in the Hematology Service of the University Hospital "Arnaldo Milián" . Starting from the model, the dynamics of the recovery process are computationally simulated and the hematopoietic recovery times of each patient collected in the clinical data are compared with the times predicted by the simulations. Despite the simplicity of the mathematical model, it is surprising how well the reconstitution curves match the collected clinical data, so that the model is able to predict with great accuracy the day the hematopoietic recovery criterion is met. The model's prognoses can be used to estimate the average duration of the pre-implantation period, in which severe aplasia and immunodeficiency condition the occurrence of hemorrhagic and infectious complications, often serious. In addition, it constitutes an important tool for planning the next patient to be transplanted by the team, by reducing the time spent in planning the logistics required between one transplant and another, which will allow increasing the number of patients benefiting from this procedure.

Key words: systems of differential equations, multi-compartment models, hematopoiesis, bone marrow transplantation.

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