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Related papers: Complexity of Brain Tumors

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Brain tumor segmentation is one of the most challenging problems in medical image analysis. The goal of brain tumor segmentation is to generate accurate delineation of brain tumor regions. In recent years, deep learning methods have shown…

Image and Video Processing · Electrical Eng. & Systems 2021-11-18 Zhihua Liu , Lei Tong , Zheheng Jiang , Long Chen , Feixiang Zhou , Qianni Zhang , Xiangrong Zhang , Yaochu Jin , Huiyu Zhou

In this paper, we studied phase-space analysis of a certain mathematical model of tumor growth with an immune responses and chemotherapy therapy. Mathematical modelling of this process is viewed as a potentially powerful tool in the…

Dynamical Systems · Mathematics 2018-03-15 Veli Shakhmurov , Akif Maharramov , Bunyad Shahmurzada

Most human tumors result from the accumulation of multiple genetic and epigenetic alterations in a single cell. Mutations that confer a fitness advantage to the cell are known as driver mutations and are causally related to tumorigenesis.…

Probability · Mathematics 2010-07-15 Rick Durrett , Jasmine Foo , Kevin Leder , John Mayberry , Franziska Michor

Gliomas are the most common malignant brain tumourswith intrinsic heterogeneity. Accurate segmentation of gliomas and theirsub-regions on multi-parametric magnetic resonance images (mpMRI)is of great clinical importance, which defines…

Image and Video Processing · Electrical Eng. & Systems 2019-11-21 Shuo Wang , Chengliang Dai , Yuanhan Mo , Elsa Angelini , Yike Guo , Wenjia Bai

This study explores the application of deep learning techniques in the automated detection and segmentation of brain tumors from MRI scans. We employ several machine learning models, including basic logistic regression, Convolutional Neural…

Computer Vision and Pattern Recognition · Computer Science 2025-10-14 Jack Krolik , Jake Lynn , John Henry Rudden , Dmytro Vremenko

Brain tumors result from abnormal cell growth in brain tissue. If undiagnosed, they cause neurological deficits, including cognitive impairment, motor dysfunction, and sensory loss. As tumors grow, intracranial pressure increases,…

Image and Video Processing · Electrical Eng. & Systems 2025-03-19 Shravan Venkatraman , Pandiyaraju V , Abeshek A , Aravintakshan S A , Pavan Kumar S , Kannan A , Madhan S

Physical models in the form of partial differential equations serve as important priors for many under-constrained problems. One such application is tumor treatment planning, which relies on accurately estimating the spatial distribution of…

Automation of brain tumors in 3D magnetic resonance images (MRIs) is key to assess the diagnostic and treatment of the disease. In recent years, convolutional neural networks (CNNs) have shown improved results in the task. However, high…

Image and Video Processing · Electrical Eng. & Systems 2020-09-28 Laura Mora Ballestar , Veronica Vilaplana

Primary tumors infrequently lead to demise of cancer patients; instead, mortality and a significant degree of morbidity result from the growth of secondary tumors in distant organs (metastasis). It is well-known that malignant tumors induce…

Tissues and Organs · Quantitative Biology 2015-10-09 Arianna Bianchi , Konstantinos Syrigos , Georgios Lolas

Brain tumor segmentation is a critical task for tumor volumetric analyses and AI algorithms. However, it is a time-consuming process and requires neuroradiology expertise. While there has been extensive research focused on optimizing brain…

Image and Video Processing · Electrical Eng. & Systems 2021-12-01 Partoo Vafaeikia , Matthias W. Wagner , Uri Tabori , Birgit B. Ertl-Wagner , Farzad Khalvati

Cancer is increasingly perceived as a systems-level, network phenomenon. The major trend of malignant transformation can be described as a two-phase process, where an initial increase of network plasticity is followed by a decrease of…

At present it is still quite difficult to match the vast knowledge on the behavior of individual tumor cells with macroscopic measurements on clinical tumors. On the modeling side, we already know how to deal with many molecular pathways…

Tissues and Organs · Quantitative Biology 2012-01-16 Roberto Chignola , Edoardo Milotti

We study a tumor growth model in two space dimensions, where proliferation of the tumor cells leads to expansion of the tumor domain and migration of surrounding normal tissues into the exterior vacuum. The model features two moving…

Analysis of PDEs · Mathematics 2020-02-11 Inwon Kim , Jiajun Tong

Tumor growth beyond a critical size relies on the development of a functional vascular network, which ensures adequate oxygen and nutrient supply. In this work, we present a modeling framework based on an optimization-based 3D-1D coupling…

Numerical Analysis · Mathematics 2026-04-01 Chiara Giverso , Denise Grappein , Stefano Scialò

We present a two-dimensional continuum model of tumor growth, which treats the tissue as a composition of six distinct fluid phases; their dynamics are governed by the equations of mass and momentum conservation. Our model divides the…

Populations and Evolution · Quantitative Biology 2021-02-12 I. Lampropoulos , M. Kavousanakis

Reliably predicting the future spread of brain tumors using imaging data and on a subject-specific basis requires quantifying uncertainties in data, biophysical models of tumor growth, and spatial heterogeneity of tumor and host tissue.…

Computational Engineering, Finance, and Science · Computer Science 2022-09-27 Baoshan Liang , Jingye Tan , Luke Lozenski , David A. Hormuth , Thomas E. Yankeelov , Umberto Villa , Danial Faghihi

Tracking and characterizing the blood uptake process within solid pancreatic tumors and the subsequent spatio-temporal distribution of red blood cells are critical to the clinical diagnosis of the cancer. This systematic computational study…

Medical Physics · Physics 2021-11-04 Mohammad Mehedi Hasan Akash , Nilotpal Chakraborty , Saikat Basu

Motivated by tumor growth models we establish conditions for the $R-$positivity of Markov processes and positive matrices. We then apply them to obtain the asymptotic behavior of the tumors sizes in the supercritical regime.

Probability · Mathematics 2020-01-08 Analía Ferrari , Pablo Groisman , Krishnamurthi Ravishankar

Brain tumor detection can make the difference between life and death. Recently, deep learning-based brain tumor detection techniques have gained attention due to their higher performance. However, obtaining the expected performance of such…

Image and Video Processing · Electrical Eng. & Systems 2022-02-22 Wessam M. Salama , Ahmed Shokry

Tumor shape is a key factor that affects tumor growth and metastasis. This paper proposes a topological feature computed by persistent homology to characterize tumor progression from digital pathology and radiology images and examines its…

Computer Vision and Pattern Recognition · Computer Science 2023-03-01 Chul Moon , Qiwei Li , Guanghua Xiao