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In this work, we focus on the analytical and numerical study of a mathematical model for brain tumors with radiotherapy influence. Under certain assumptions on the given data in the model, we prove existence and uniqueness of a weak…

Analysis of PDEs · Mathematics 2024-09-27 Marina Chugunova , Hangjie Ji , Roman Taranets , Nataliya Vasylyeva

Acute Lymphoblastic Leukemia (ALL) is a blood cell cancer characterized by numerous immature lymphocytes. Even though automation in ALL prognosis is an essential aspect of cancer diagnosis, it is challenging due to the morphological…

Image and Video Processing · Electrical Eng. & Systems 2021-05-11 Chayan Mondal , Md. Kamrul Hasan , Md. Tasnim Jawad , Aishwariya Dutta , Md. Rabiul Islam , Md. Abdul Awal , Mohiuddin Ahmad

In this paper, a multi-model predictive control approach is used to automate the co-administration of propofol and remifentanil from bispectral index measurement during general anesthesia. To handle the parameter uncertainties in the…

Systems and Control · Electrical Eng. & Systems 2023-09-18 Bob Aubouin-Pairault , Mirko Fiacchini , Thao Dang

Combinatorial drugs have been widely applied in disease treatment, especially chemotherapy for cancer, due to its improved efficacy and reduced toxicity compared with individual drugs. The study of combinatorial drugs requires efficient…

Applications · Statistics 2018-12-31 Qian Xiao , Lin Wang , Hongquan Xu

This paper presents a mathematical framework for optimizing drug delivery in cancer treatment using a nonlocal model of solid tumor growth. We present a coupled system of partial differential equations that incorporate long-range cellular…

Optimization and Control · Mathematics 2025-03-13 Bouhamidi Abderrahman , El Harraki Imad , Melouani Yassine

Mediation analysis is an important tool for studying causal associations in biomedical and other scientific areas and has recently gained attention in microbiome studies. Using a microbiome study of acute myeloid leukemia (AML) patients, we…

Some clinical and pre-clinical data suggests that treating some tumors at a mild, patient-specific dose might delay resistance to treatment and increase survival time. A recent mathematical model with sensitive and resistant tumor cells…

Dynamical Systems · Mathematics 2022-12-01 Frank Alvarez , Yannick Viossat

We present a three-stage probabilistic model for the progression of Chronic Myeloid Leukemia (CML), as manifested by the leukemic stem cells, progenitor cells and mature leukemic cells. This progression is captured through the process of…

Populations and Evolution · Quantitative Biology 2022-04-25 Sonjoy Pan , Siddhartha P. Chakrabarty , Soumyendu Raha

Glioblastoma Multiforme (GBM) is a highly aggressive brain tumour with limited therapeutic options and poor prognosis. This study presents a mathematical framework to investigate the efficacy of immunotherapy strategies based on cytotoxic…

Populations and Evolution · Quantitative Biology 2025-12-23 Francesca Ballatore , Lorenzo Scolaris , Chiara Giverso

The recent advances in cancer immunotherapy boosted the development of tumor-immune system models aiming to provide mechanistic understanding and indicate more efficient treatment regimes. However, the complexity of such models, their…

Dynamical Systems · Mathematics 2023-09-18 Dimitrios G. Patsatzis

The long-term efficacy of targeted therapeutics for cancer treatment can be significantly limited by the type of therapy and development of drug resistance, inter alia. Experimental studies indicate that the factors enhancing acquisition of…

Tissues and Organs · Quantitative Biology 2021-02-16 Joseph Malinzi , Kevin Bosire Basita , Sara Padidar , Henry A. Adeola

In the present work we consider the mathematical model that describes brain tumour growth (glioblastomas) under medical treatment. Based on the medical study presented by R. Stupp et al. (New Engl Journal of Med 352: 987-996, 2005) which…

Tissues and Organs · Quantitative Biology 2016-10-25 O. Gonzalez-Gaxiola , R. Bernal-Jaquez

Non-small cell lung cancer (NSCLC) is often intrinsically resistant to several first- and second-line therapeutics and can rapidly acquire further resistance after a patient begins receiving treatment. Treatment outcomes are therefore…

Biomolecules · Quantitative Biology 2024-10-23 Benjamin K. Schneider , Sebastien Benzekry , Jonathan P. Mochel

In this work we investigate a mathematical model describing tumour growth under a treatment by chemotherapy that incorporates time-delay related to the conversion from resting to hunting cells. We study the model using values for the…

Tissues and Organs · Quantitative Biology 2013-12-09 F. S. Borges , K. C. Iarosz , H. P. Ren , A. M. Batista , M. S. Baptista , R. L. Viana , S. R. Lopes , C. Grebogi

The move towards personalized treatment and digital twins for cancer therapy requires a complete understanding of the mathematical models upon which these optimized simulation-based strategies are formulated. This study investigates the…

Quantitative Methods · Quantitative Biology 2025-11-21 Changin Oh , Kathleen P. Wilkie

Using a novel modeling approach based on the so-called environmental stress level (ESL), we develop a mathematical model to describe systematically the collective influence of oxygen concentration and stiffness of the extracellular matrix…

Cell Behavior · Quantitative Biology 2023-10-31 Sabrina Schönfeld , Laura Scarabosio , Alican Ozkan , Marissa Nichole Rylander , Christina Kuttler

Background Predicting overall survival (OS) in non-small cell lung cancer (NSCLC) is essential for clinical decision-making and drug development. While tumor and blood test markers kinetics are intrinsically linked, their joint dynamics and…

Quantitative Methods · Quantitative Biology 2026-01-19 Ruben Taieb , René Bruno , Pascal Chanu , Jin Yan Jin , Sébastien Benzekry

This study investigates the applicability of 3D dose predictions from a model trained on one modality to a cross-modality automated planning workflow. Additionally, we explore the impact of integrating a multi-criteria optimizer on adapting…

Medical Physics · Physics 2024-02-26 Gregory Szalkowski , Xuanang Xu , Shiva Das , Pew-Thian Yap , Jun Lian

Heterogeneous treatment effect estimation is critical in oncology, particularly in multi-arm trials with overlapping therapeutic components and long-term survivors. These shared mechanisms pose a central challenge to identifying causal…

Methodology · Statistics 2025-10-29 Peter Chang , John Kairalla , Arkaprava Roy

Computational pathology models that use digitized histopathology whole-slide images have the potential to become a cost-effective and scalable alternative to molecular assays for the prediction of genomic biomarkers, a key task in precision…

Quantitative Methods · Quantitative Biology 2026-03-03 Ekaterina Redekop , Eric Zimmermann , Ava P Amini , Alex X Lu , Neil Tenenholtz , James Brian Hall , Lorin Crawford , Kristen A Severson