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In this paper, we conduct a thorough mathematical analysis of a tumor growth model with treatments. The model is a system describing the evolution of metastatic tumors and the number of cells present in a primary tumor. The former evolution…

Analysis of PDEs · Mathematics 2022-05-25 Slah Eddin Ben Abdeljalil , Atef Ben Essid , Saloua Mani Aouadi

We present a numerical scheme for solving an inverse problem for parameter estimation in tumor growth models for glioblastomas, a form of aggressive primary brain tumor. The growth model is a reaction-diffusion partial differential equation…

Medical Physics · Physics 2020-04-22 Shashank Subramanian , Klaudius Scheufele , Miriam Mehl , George Biros

The aim of the systematic review was to assess recently published studies on diagnostic test accuracy of glioblastoma treatment response monitoring biomarkers in adults, developed through machine learning (ML). Articles were searched for…

The learning curve expresses the error rate of a predictive modeling procedure as a function of the sample size of the training dataset. It typically is a decreasing, convex function with a positive limiting value. An estimate of the…

Applications · Statistics 2012-03-14 Eric B. Laber , Kerby Shedden , Yang Yang

In this work, we develop a stochastic multiscale model for glioma growth and invasion in the brain, incorporating the effects of therapeutic interventions. The model accounts for tumor cell migration influenced by brain tissue heterogeneity…

Cell Behavior · Quantitative Biology 2026-02-10 Martina Conte , Sandesh Hiremath , Christina Surulescu

Modeling of brain tumor dynamics has the potential to advance therapeutic planning. Current modeling approaches resort to numerical solvers that simulate the tumor progression according to a given differential equation. Using…

Computational Engineering, Finance, and Science · Computer Science 2021-04-16 Ivan Ezhov , Tudor Mot , Suprosanna Shit , Jana Lipkova , Johannes C. Paetzold , Florian Kofler , Fernando Navarro , Chantal Pellegrini , Marcel Kollovieh , Marie Metz , Benedikt Wiestler , Bjoern Menze

In this paper, we study the application of GIST SVM in disease prediction (detection of cancer). Pattern classification problems can be effectively solved by Support vector machines. Here we propose a classifier which can differentiate…

Machine Learning · Computer Science 2012-03-07 S. Aruna , S. P. Rajagopalan , L. V. Nandakishore

Machine learning provides a broad framework for addressing high-dimensional prediction problems in classification and regression. While machine learning is often applied for imaging problems in medical physics, there are many efforts to…

Applications · Statistics 2020-07-02 John Kang , James T. Coates , Robert L. Strawderman , Barry S. Rosenstein , Sarah L. Kerns

The problem of the onset and growth of solid tumour in homogeneous tissue is regarded using an approach based on local interaction between the tumoral and the sane tissue cells. The characteristic sizes and growth rates of spherical…

Cell Behavior · Quantitative Biology 2007-05-23 R. G. Khlebopros , V. A. Slepkov , V. G. Sukhovolsky , Y. V. Mironov , V. E. Fedorov , S. P. Gabuda

Background and objective Risk prediction models aim at identifying people at higher risk of developing a target disease. Feature selection is particularly important to improve the prediction model performance avoiding overfitting and to…

Machine Learning · Computer Science 2024-02-09 N. Cueto-López , M. T. García-Ordás , V. Dávila-Batista , V. Moreno , N. Aragonés , R. Alaiz-Rodríguez

Recently, there has been a resurgence of interest in rigorous algorithms for the inference of cancer progression from genomic data. The motivations are manifold: (i) growing NGS and single cell data from cancer patients, (ii) need for novel…

Machine Learning · Computer Science 2016-02-25 Daniele Ramazzotti

Glioblastoma, the most aggressive primary brain tumor, poses a severe clinical challenge due to its diffuse microscopic infiltration, which remains largely undetected on standard MRI. As a result, current radiotherapy planning employs a…

Gliomas are brain tumours with a high mortality rate. There are various grades and sub-types of this tumour, and the treatment procedure varies accordingly. Clinicians and oncologists diagnose and categorise these tumours based on visual…

Image and Video Processing · Electrical Eng. & Systems 2020-11-12 Azam Hamidinekoo , Tomasz Pieciak , Maryam Afzali , Otar Akanyeti , Yinyin Yuan

We present a multi-species partial differential equation (PDE) model for tumor growth and a an algorithm for calibrating the model from magnetic resonance imaging (MRI) scans. The model is designed for glioblastoma (GBM) brain tumors. The…

Numerical Analysis · Mathematics 2024-08-27 Ali Ghafouri , George Biros

Cancer grade is a critical clinical criterion that can be used to determine the degree of cancer malignancy. Revealing the condition of the glands, a precise gland segmentation can assist in a more effective cancer grade classification. In…

Image and Video Processing · Electrical Eng. & Systems 2025-01-28 Yijie Zhu , Shan E Ahmed Raza

MRI analysis takes central position in brain tumor diagnosis and treatment, thus it's precise evaluation is crucially important. However, it's 3D nature imposes several challenges, so the analysis is often performed on 2D projections that…

Computer Vision and Pattern Recognition · Computer Science 2018-10-10 Dmitry Lachinov , Evgeny Vasiliev , Vadim Turlapov

Theoretical and computational tools that can be used in the clinic to predict neoplastic progression and propose individualized optimal treatment strategies to control cancer growth is desired. To develop such a predictive model, one must…

Cell Behavior · Quantitative Biology 2015-05-20 Salvatore Torquato

Several experiments in the near future will test dark energy through its effects on the linear growth of matter perturbations. It is therefore important to find simple and at the same time general parametrizations of the linear growth rate.…

Astrophysics · Physics 2008-11-26 Cinzia Di Porto , Luca Amendola

Gliomas are the most common primary brain tumors, evolving from the cerebral supportive cells. For clinical follow-up, the evaluation of the preoperative tumor volume is essential. Volumetric assessment of tumor volume with manual…

Initiation and development of a malignant tumor is a complex phenomenon that has critical stages determining its long time behavior. This phenomenon is mathematically described by means of various models: from simple heuristic models to…

Populations and Evolution · Quantitative Biology 2020-03-23 Yuri Kozitsky , Krzysztof Pilorz