Leukemia mathematical model

Bouizem, Nacera; Helal, Mohamed; Aïnseba, Bedr’Eddine; Lakmeche, Abdelkader

doi:10.1051/itmconf/20150401006

Cited by 2 publications

(1 citation statement)

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“…Tais resultados motivaram a proposição de modelos mais sofisticados, considerando cada vez mais fatores intrínsecos e extrínsecos às populações, porém, ao se aumentar a complexidade do modelo aumenta-se a complexidade de sua análise, dificultando sua utilização da prática clínica (AFENYA; BENTIL, 1998;BOUIZEM et al, 2015).…”

Section: Modelos Matemáticos Em Leucemiaunclassified

Um modelo de equações diferenciais ordinárias aplicado à leucemia promielocítica aguda

Júnior¹,

Hiroshi²

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Acute Promyelocytic Leukemia (APL) is a rare condition, potentially lethal, in which risk-based therapy led to better outcomes. Due to its rarity and relatively high overall survival rate, prospective randomized trials to investigate alternative treatment schedules are challenging.Mathematical models may provide useful information in this matter. We collected clinical data from 39 patients treated for APL under the International Consortium on Acute Leukemia (ICAL) protocol and laboratory data during induction. We propose a mathematical model based on Ordinary Differential Equations (ODEs) that represents the dynamics of leucocytes in peripheral blood and the effect of ICAL treatment on the disease's dynamics. We observed that our cohort presents demographic characteristics and clinical outcomes similar to previous clinical trials on APL. With 41.8 months of follow-up, relapse-free survival and overall survival at two years were both 78.7%. For an adequate set of clinical data, the model solutions show good fit. Pieces of information derived from the model may assist in clinical practice and design of clinical trials, suggesting alternative chemotherapy protocols and determining the risk of relapse.

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Section: Modelos Matemáticos Em Leucemiaunclassified

Um modelo de equações diferenciais ordinárias aplicado à leucemia promielocítica aguda

Júnior¹,

Hiroshi²

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Design of personalized cancer treatments by use of optimal control problems: The case of chronic myeloid leukemia

Gutiérrez-Diez

Russo

2020

Mathematical Biosciences and Engineering

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Leukemia mathematical model

Abstract: Abstract.In this paper, we study a mathematical model of leukemia diseases. We find sufficient conditions for existence and local stability of steady states.

Cited by 2 publications

References 5 publications

Um modelo de equações diferenciais ordinárias aplicado à leucemia promielocítica aguda

Um modelo de equações diferenciais ordinárias aplicado à leucemia promielocítica aguda

Design of personalized cancer treatments by use of optimal control problems: The case of chronic myeloid leukemia

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