The Akzo Nobel research laboratories formulated this problem in their study of the penetration of radio-labeled antibodies into a tissue that has been infected by a tumor. This study was carried out for diagnostic as well as therapeutic purposes. The treatment of malignant diseases, after its primary treatment by surgery, is either by external beam radiotherapy, which is effective but local, or by chemotherapy, which is effective but not selective. The radiotherapy labelled antibody has to be able to penetrate the whole of the tumour, whereas for imaging only uptake on the surface of the tumour is needed. Factors such as dose, rate delivered, tumor size, and radiosensitivity play a major role in determining therapeutic response, while target-to-nontarget ratios and, particularly, circulating radioactivity to the bone marrow determine the major dose-limiting toxicities. In this article, we introduced a system of differential equations with small parameter with applications in radioimmunotherapy. The problem consists of two partial differential equations. Both the equation of this system includes small parameter epsilon. We introduce the mathematical technique known as boundary function method for singular perturbation system. In this system, the small parameter is an asymptotic variable, different from the independent variable. We write solution of this system in a small parameter, and investigation of asymptotic solution for system. Using the program Matlab and numerical method Runge-Kutta, I did various simulations for different values of biological parameters presented in the model studied.
Download full-text PDF |
Source |
|---|
Publication Analysis
Top Keywords
Similar Publications
Synergistic activity of Pitstop-2 and 1,6-hexanediol in aggressive human lung cancer cells.
Discov Nano
January 2025
Institute of Physiology II, University of Münster, Robert-Koch-Str. 27b, 48149, Münster, Germany.
Metastatic cancer cells undergo metabolic reprogramming, which involves changes in the metabolic fluxes, including endocytosis, nucleocytoplasmic transport, and mitochondrial metabolism, to satisfy their massive demands for energy, cell division, and proliferation compared to normal cells. We have previously demonstrated the ability of two different types of compounds to interfere with linchpins of metabolic reprogramming, Pitstop-2 and 1,6-hexanediol (1,6-HD). 1,6-HD disrupts glycolysis enzymes and mitochondrial function, enhancing reactive oxygen species production and reducing cellular ATP levels, while Pitstop-2 impedes clathrin-mediated endocytosis and small GTPases activity.
View Article and Find Full Text PDFRe-optimizing the Time Frame for Classifying Cerebral Venous Sinus Thrombosis: An Unmet Need.
Cureus
December 2024
Internal Medicine, Trinity Health Oakland Hospital, Pontiac, USA.
Cerebral venous thrombosis (CVT) is a rare and complex form of stroke, representing a small percentage of all stroke cases. The disease's clinical presentation is highly variable, involving a wide range of medical specialists due to its diverse manifestations. Over the past decade, significant advancements in understanding CVT have been made, particularly in light of the COVID-19 pandemic and subsequent vaccination efforts.
View Article and Find Full Text PDFDiagnostic accuracy of MRI-based radiomic features for EGFR mutation status in non-small cell lung cancer patients with brain metastases: a meta-analysis.
Front Oncol
January 2025
Department of Oncology, The Affiliated Dazu's Hospital of Chongqing Medical University, Chongqing, China.
Objective: This meta-analysis aims to evaluate the diagnostic accuracy of magnetic resonance imaging (MRI) based radiomic features for predicting epidermal growth factor receptor (EGFR) mutation status in non-small cell lung cancer (NSCLC) patients with brain metastases.
Methods: We systematically searched PubMed, Embase, Cochrane Library, Web of Science, Scopus, Wanfang, and China National Knowledge Infrastructure (CNKI) for studies published up to April 30, 2024. We included those studies that utilized MRI-based radiomic features to detect EGFR mutations in NSCLC patients with brain metastases.
Filling-well: An effective technique to handle incomplete well-log data for lithology classification using machine learning algorithms.
MethodsX
June 2025
Department of Geophysical Engineering, Institut Teknologi Sepuluh Nopember, Indonesia.
Lithology classification is crucial for efficient and sustainable resource exploration in the oil and gas industry. Missing values in well-log data, such as Gamma Ray (GR), Neutron Porosity (NPHI), Bulk Density (RHOB), Deep Resistivity (RS), Delta Time Compressional (DTCO), Delta Time Shear (DTSM), and Resistivity Deep (RD), significantly affect machine learning classification accuracy. This study applied three algorithms, extreme gradient boosting (XGBoost), K-nearest neighbours (KNN), and the artificial neural network (ANN), to handle missing values in well-log datasets, particularly datasets with extreme missing data (30 %).
View Article and Find Full Text PDFDesign and process optimization of a new reaction chamber for microwave synthesis of MOFs materials.
Heliyon
January 2025
School of Computer Science and Technology, Xidian University, Xi'an, 710071, China.
Based on the application demand of metal-organic framework (MOFs) materials in environmental science, energy conversion, biomedicine and other fields, its efficient synthesis method has attracted much attention. Microwave method has become one of the most competitive and potential methods because of its low cost, high efficiency and green environmental protection. However, the traditional microwave assisted synthesis of MOFs materials mostly uses microwave oven as the reaction chamber, or small-scale microwave reactor.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!