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We propose a segmentation framework that uses deep neural networks and introduce two innovations. First, we describe a biophysics-based domain adaptation method. Second, we propose an automatic method to segment white and gray matter, and…

Computer Vision and Pattern Recognition · Computer Science 2018-10-16 Amir Gholami , Shashank Subramanian , Varun Shenoy , Naveen Himthani , Xiangyu Yue , Sicheng Zhao , Peter Jin , George Biros , Kurt Keutzer

The surroundings of a cancerous tumor impact how it grows and develops in humans. New data from early breast cancer patients contains information on the collagen fibers surrounding the tumorous tissue -- offering hope of finding additional…

Applications · Statistics 2022-06-30 Sean Kent , Menggang Yu

Tumor growth prediction, a highly challenging task, has long been viewed as a mathematical modeling problem, where the tumor growth pattern is personalized based on imaging and clinical data of a target patient. Though mathematical models…

Computer Vision and Pattern Recognition · Computer Science 2017-06-05 Ling Zhang , Le Lu , Ronald M. Summers , Electron Kebebew , Jianhua Yao

Brain tumors are a complex and potentially life-threatening medical condition that requires accurate diagnosis and timely treatment. In this paper, we present a machine learning-based system designed to assist healthcare professionals in…

Image and Video Processing · Electrical Eng. & Systems 2023-04-18 Belal Badawy , Romario Sameh Samir , Youssef Tarek , Mohammed Ahmed , Rana Ibrahim , Manar Ahmed , Mohamed Hassan

A novel and highly efficient computational framework for reconstructing binary-type images suitable for models of various complexity seen in diverse biomedical applications is developed and validated. Efficiency in computational speed and…

Optimization and Control · Mathematics 2024-02-09 Paul R. Arbic , Vladislav Bukshtynov

In this work, we investigate a fractional-order tumor growth model aimed at capturing memory effects and nonlocal temporal dynamics inherent to tumor evolution. The model is formulated using Caputo fractional derivatives and incorporates…

Medical Physics · Physics 2026-03-17 Karen Escutia , Carlos Islas , Pablo Padilla

Risk stratification (characterization) of tumors from radiology images can be more accurate and faster with computer-aided diagnosis (CAD) tools. Tumor characterization through such tools can also enable non-invasive cancer staging,…

Computer Vision and Pattern Recognition · Computer Science 2019-01-21 Sarfaraz Hussein , Pujan Kandel , Candice W. Bolan , Michael B. Wallace , Ulas Bagci

We consider a one--spatial dimensional tumour growth model [2, 3, 4] that consists of three dependent variables of space and time: volume fraction of tumour cells, velocity of tumour cells, and nutrient concentration. The model variables…

Numerical Analysis · Mathematics 2020-07-01 Jerome Droniou , Neela Nataraj , Gopikrishnan Chirappurathu Remesan

Background: The vast computational resources that became available during the past decade enabled the development and simulation of increasingly complex mathematical models of cancer growth. These models typically involve many free…

Quantitative Methods · Quantitative Biology 2010-11-19 Diego Fernandez Slezak , Cecilia Suarez , Guillermo A. Cecchi , Guillermo Marshall , Gustavo Stolovitzky

Deformable registration of magnetic resonance images between patients with brain tumors and healthy subjects has been an important tool to specify tumor geometry through location alignment and facilitate pathological analysis. Since tumor…

Image and Video Processing · Electrical Eng. & Systems 2021-01-19 Xiaofeng Liu , Fangxu Xing , Chao Yang , C. -C. Jay Kuo , Georges ElFakhri , Jonghye Woo

In the present article the diffusion equation is used to model the spatio-temporal dynamics of a tumor, taking into account the heterogeneous of the medium. This approach makes it possible to take into account the complex geometric shape of…

Biological Physics · Physics 2023-02-07 Maxim V. Polyakov , Valeria V. Ten

Longitudinal tumour volume data from head-and-neck cancer patients show that tumours of comparable pre-treatment size and stage may respond very differently to the same radiotherapy fractionation protocol. Mathematical models are often…

Biophysical modeling, particularly involving partial differential equations (PDEs), offers significant potential for tailoring disease treatment protocols to individual patients. However, the inverse problem-solving aspect of these models…

Designing patient-specific follow-up strategy is a crucial step towards personalized medicine in cancer. Tools to help doctors deciding on treatment allocation together with next visit date, based on patient preferences and medical…

Optimization and Control · Mathematics 2024-01-09 Benoîte de Saporta , Aymar Thierry d'Argenlieu , Régis Sabbadin , Alice Cleynen

Alterations in nuclear morphology are useful adjuncts and even diagnostic tools used by pathologists in the diagnosis and grading of many tumors, particularly malignant tumors. Large datasets such as TCGA and the Human Protein Atlas, in…

Quantitative Methods · Quantitative Biology 2023-02-06 Mohammad Shifat E Rabbi , Natasha Ironside , John A Ozolek , Rajendra Singh , Liron Pantanowitz , Gustavo K Rohde

Accurately modeling the spatiotemporal evolution of tumor morphology from baseline imaging is a pre-requisite for developing digital twin frameworks that can simulate disease progression and treatment response. Most existing approaches…

Image and Video Processing · Electrical Eng. & Systems 2025-10-01 Moinak Bhattacharya , Gagandeep Singh , Prateek Prasanna

A brain tumor, whether benign or malignant, can potentially be life threatening and requires painstaking efforts in order to identify the type, origin and location, let alone cure one. Manual segmentation by medical specialists can be…

Image and Video Processing · Electrical Eng. & Systems 2023-05-02 Ayan Gupta , Mayank Dixit , Vipul Kumar Mishra , Attulya Singh , Atul Dayal

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

Brain tumor classification using MRI images is critical in medical diagnostics, where early and accurate detection significantly impacts patient outcomes. While recent advancements in deep learning (DL), particularly CNNs, have shown…

Image and Video Processing · Electrical Eng. & Systems 2025-03-03 Priyam Ganguly , Akhilbaran Ghosh

The inverse geometric approach to the modeling of the growth of circular objects revealing required features, such as the velocity of the growth and fractal behavior of their contours, is presented. It enables to reproduce some of the…

Medical Physics · Physics 2007-05-23 Branislav Brutovsky , Denis Horvath , Vladimir Lisy
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