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Acute lymphoblastic leukemia is the most common malignancy in childhood. Successful treatment requires initial high-intensity chemotherapy, followed by low-intensity oral maintenance therapy with oral 6-mercaptopurine (6MP) and methotrexate…

Quantitative Methods · Quantitative Biology 2020-01-06 Felix Jost , Jakob Zierk , Thuy T. T. Le , Thomas Raupach , Manfred Rauh , Meinolf Suttorp , Martin Stanulla , Markus Metzler , Sebastian Sager

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…

A critical need exists for optimal therapeutic strategies for neuroblastoma, a prevalent and often fatal pediatric solid malignancy. To address the demand for quantitative models that can guide clinical decision-making, a novel mathematical…

Tissues and Organs · Quantitative Biology 2025-11-11 Kate Brockman , Brian Colburn , Joseph Garza , Yidong Liao , B. Veena S. N. Rao

Treatment-related lymphopenia is a frequent and clinically significant consequence of cancer therapy that can compromise immune-mediated tumor control and worsen patient outcomes. Despite its importance, no mechanistic framework exists to…

Medical Physics · Physics 2026-05-04 Vladislav Sandul , Marco Durante , Thomas Friedrich

While the use of combination therapy is increasing in prevalence for cancer treatment, it is often difficult to predict the exact interactions between different treatment forms, and their synergistic/antagonistic effects on patient health…

Optimization and Control · Mathematics 2021-01-29 Jayanth Pratap

Chemotherapy is one of the primary modalities of cancer treatment. Chemotherapy drug administration is a complex problem that often requires expensive clinical trials to evaluate potential regimens. One way to alleviate this burden and…

Optimization and Control · Mathematics 2021-11-04 Temitayo Ajayi , Seyedmohammadhossein Hosseinian , Andrew J. Schaefer , Clifton D. Fuller

In this paper, we study a semilinear parabolic PDE system which describes the interaction of normal cells, tumor cells, immune cells, with a chemotherapeutic drug. The model extends the previous model with incorporating strong Allee affects…

Analysis of PDEs · Mathematics 2026-02-05 Xiaoqin Liu , Hong-Ming Yin

Model-informed precision dosing (MIPD) using therapeutic drug/biomarker monitoring offers the opportunity to significantly improve the efficacy and safety of drug therapies. Current strategies comprise model-informed dosing tables or are…

Machine Learning · Statistics 2020-06-02 Corinna Maier , Niklas Hartung , Charlotte Kloft , Wilhelm Huisinga , Jana de Wiljes

Acute Myeloid Leukemia (AML) is one of the most aggressive types of hematological neoplasm. To support the specialists' decision about the appropriate therapy, patients with AML receive a prognostic of outcomes according to their…

Machine Learning · Computer Science 2024-05-30 Jade M. Almeida , Giovanna A. Castro , João A. Machado-Neto , Tiago A. Almeida

We study the dynamics and interactions between combined chemotherapy and chimeric antigen receptor (CAR-T) cells therapy and malignant gliomas (MG). MG is one of the most common primary brain tumor, with high resistance to therapy and…

Dynamical Systems · Mathematics 2025-06-04 Dmitry Sinelshchikov , Juan Belmonte-Beitia , Matteo Italia

This study presents a mathematical model describing cloned hematopoiesis in chronic myeloid leukemia (CML) through a nonlinear system of differential equations. The primary objective is to understand the progression from healthy…

Dynamical Systems · Mathematics 2025-11-06 Lorand Gabriel Parajdi , Xue Bai , David Kegyes , Ciprian Tomuleasa

Malignant gliomas (MGs), particularly glioblastoma, are among the most aggressive brain tumors, with limited treatment options and a poor prognosis. Maximal safe resection and the so-called Stupp protocol are the standard first-line…

Over the past decade, several targeted therapies (e.g. imatinib, dasatinib, nilotinib) have been developed to treat Chronic Myeloid Leukemia (CML). Despite an initial response to therapy, drug resistance remains a problem for some CML…

Tissues and Organs · Quantitative Biology 2017-02-08 Qie He , Junfeng Zhu , David Dingli , Jasmine Foo , Kevin Leder

Leukemia epitomizes the class of highly complex diseases that new technologies aim to tackle by using large sets of single-cell level information. Achieving such goal depends critically not only on experimental techniques but also on…

Quantitative Methods · Quantitative Biology 2014-06-02 Jose M. G. Vilar

This research presents a mathematical model of glioma growth dynamics with drug resistance, capturing interactions among five cell populations: glial cells, sensitive glioma cells, resistant glioma cells, endothelial cells, and neuron…

Dynamical Systems · Mathematics 2023-08-23 Latifah Hanum , Nanang Susyanto , Dwi Ertiningsih

Adoptive Cell Transfer therapy of cancer is currently in full development and mathematical modeling is playing a critical role in this area. We study a stochastic model developed by Baar et al. in 2015 for modeling immunotherapy against…

Populations and Evolution · Quantitative Biology 2020-03-09 Modibo Diabate , Loren Coquille , Adeline Samson

A mathematical model for time development of metastases and their distribution in size and carrying capacity is presented. The model is used to theoretically investigate anti-cancer therapies such as surgery and chemical treatments…

Tissues and Organs · Quantitative Biology 2013-06-21 Sebastien Benzekry , Dominique Barbolosi , Assia Benabdallah , Florence Hubert , Philip Hahnfeldt

Immunotherapy is currently regarded as the most promising treatment to fight against cancer. This is particularly true in the treatment of chronic lymphocytic leukemia, an indolent neoplastic disease of B-lymphocytes which eventually causes…

Tissues and Organs · Quantitative Biology 2018-06-20 Diego Samuel Rodrigues , Paulo Fernando de Arruda Mancera , Tiago de Carvalho , Luiz Fernando Gonçalves

This study presents a mathematical model that captures the interactions among tumor cells, healthy cells, and immune cells in a tumor-bearing host, with a specific focus on breast cancer. Incorporating the concept of delay, the model…

Quantitative Methods · Quantitative Biology 2026-03-19 Fatemeh Ansarizadeh , Tonghua Zhang

Chronic Myeloid Leukaemia (CML) is a blood-derived proliferative disorder, which is highly associated to a translocation of chromosomes 9 and 22 or the creation of Philadelphia chromosome Ph(+) cases, inducing the synthesis of a chimeric…

Cell Behavior · Quantitative Biology 2020-02-25 A. Vivanco-Lira
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