Global Sensitivity Analysis for a Chronic Myelogenous Leukemia Model

Dimitriu, Gabriel

doi:10.1007/978-3-030-10692-8_42

Cited by 9 publications

(4 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(Agarwal & Bhadauria, 2015) studied a treatment model cancer with immunotherapy, (Sharma & Samanta, 2016) studied dynamic analysis of the tumor and immune system with chemotherapy and immunotherapy. (Moore & Li, 2004), (Dimitriu, 2019), (Valle et al, 2021), and (Karg et al, 2022), proposed and analyzed the dynamical model of chronic myelogenous leukemia. In addition, (Guzev et al, 2022), (Rodrigues et al, 2019), and (Fadaei et al, 2021) formulate and analyse a mathematical model of chronic lymphocytic leukemia with a treatment such as chemotherapy or chemoimmunotherapy.…”

Section: Therapymentioning

confidence: 99%

Mathematical Model of Leukemia Treatment with Chimeric Antigen Receptor (CAR) T Cell Therapy

Khumaeroh,

Shalehah,

Ilahi

2023

Mathline

View full text Add to dashboard Cite

Leukemia, a type of blood cancer that originates in the bone marrow, is characterized by the uncontrolled growth of abnormal blood cells, which disrupt the normal functioning of blood cells. Chimeric antigen receptor (CAR) T-cell treatment, a form of immunotherapy, utilizes genetically modified T cells to specifically target and eliminate cancer cells. This treatment has shown promising results for leukemia patients who are unresponsive to chemotherapy or other therapies, as well as those who experience relapses. In this study, we develop a mathematical model of leukemia that incorporates chimeric antigen receptor (CAR) T-cell therapy. The model takes into account the logistic intrinsic growth rate of leukemia cells, which gradually declines over time due to limited resources within the body. There are four compartments in this model: susceptible blood cells, infected blood cells, leukemia cells, and immune cells. We have analyzed the equilibrium points and their local stability, determined the basic reproduction number, and conducted a sensitivity analysis. Through numerical simulations, we observed that prior to treatment, the number of leukemia cells in the blood escalated rapidly towards endemic conditions. However, after receiving CAR T-cell therapy through external infusion, the leukemia cells either became extinct or took a significant amount of time to reach endemic levels in the blood. Sensitivity analysis revealed that the growth rate of cancer cells (r) and the death rate of immune cells (significantly contribute to the increase in the basic reproduction number (.

show abstract

Section: Therapymentioning

confidence: 99%

Mathematical Model of Leukemia Treatment with Chimeric Antigen Receptor (CAR) T Cell Therapy

Khumaeroh,

Shalehah,

Ilahi

2023

Mathline

View full text Add to dashboard Cite

show abstract

“…One such approach is sensitivity analysis (SA). Sensitivity studies are nowadays applied to some of the most complicated mathematical models from various intensively developing areas of application [1], [2], [3], [4]. In the present study we use UNI-DEM [12], [13], [14] which is a powerful large-scale air pollution model for calculation of the concentrations of a large number of pollutants and other chemical species in the air along a certain time period.…”

Section: Introductionmentioning

confidence: 99%

Optimized stochastic methods for sensitivity analysis for large-scale air pollution model

Todorov¹,

Ostromsky²,

Dimov³

et al. 2021

Position and Communication Papers of the 16th Conference on Computer Science and Intelligence Systems

View full text Add to dashboard Cite

ÐEnvironmental security is rapidly becoming a significant topic of present interest all over the world, and environmental modelling has a very high priority in various scientific fields, respectively. Different optimizations of the Latin Hypercube Sampling algorithm have been used in our sensitivity studies of the model output results for some air pollutants with respect to the emission levels and some chemical reactions rates.

show abstract

“…T HE main goal of the present work is to develop and investigate efficient stochastic algorithms for multiple numerical integration providing sensitivity analysis (SA) that means evaluating Sobol' sensitivity indices (SIs) [1], [3], [5]. While the classical deterministic grid methods are efficient for low dimensional integrands [2], they become computationally intensive and even impracticable for high dimensions s because the number of required integrand evaluations grows exponentially.…”

Section: Introductonmentioning

confidence: 99%

Optimized Quasi-Monte Carlo Method Based on Low Discrepancy Sequences for Sensitivity Analysis in Air Pollution Modelling

Todorov¹,

Ostromsky²,

Dimov³

et al. 2020

Annals of Computer Science and Information Systems

View full text Add to dashboard Cite

An optimization version of the van der Corput sequence has been used in our sensitivity studies of the model output results for some air pollutants with respect to the emission levels and some chemical reactions rates. Sensitivity analysis of model outputs to variation or natural uncertainties of model inputs is very significant for improving the reliability of these models. Clearly, the progress in the area of air pollution modeling, is closely connected with the progress in reliable algorithms for multidimensional integration.

show abstract

Global Sensitivity Analysis for a Chronic Myelogenous Leukemia Model

Cited by 9 publications

References 18 publications

Mathematical Model of Leukemia Treatment with Chimeric Antigen Receptor (CAR) T Cell Therapy

Mathematical Model of Leukemia Treatment with Chimeric Antigen Receptor (CAR) T Cell Therapy

Optimized stochastic methods for sensitivity analysis for large-scale air pollution model

Optimized Quasi-Monte Carlo Method Based on Low Discrepancy Sequences for Sensitivity Analysis in Air Pollution Modelling

Contact Info

Product

Resources

About