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Understanding the dynamics of brain tumor progression is essential for optimal treatment planning. Cast in a mathematical formulation, it is typically viewed as evaluation of a system of partial differential equations, wherein the…

Quantitative Methods · Quantitative Biology 2020-01-13 Ivan Ezhov , Jana Lipkova , Suprosanna Shit , Florian Kofler , Nore Collomb , Benjamin Lemasson , Emmanuel Barbier , Bjoern Menze

Artificial Intelligence (AI) and Large Language Models (LLMs) hold significant promise in revolutionizing healthcare, especially in clinical applications. Simultaneously, Digital Twin technology, which models and simulates complex systems,…

Artificial Intelligence · Computer Science 2024-09-27 Himanshu Pandey , Akhil Amod , Shivang , Kshitij Jaggi , Ruchi Garg , Abheet Jain , Vinayak Tantia

Known as one of the hallmarks of cancer [30], cancer cell invasion of human body tissue is a complicated spatio-temporal multiscale process which enables a localised solid tumour to transform into a systemic, metastatic and fatal disease.…

Dynamical Systems · Mathematics 2016-03-25 Lu Peng , Dumitru Trucu , Ping Lin , Alastair Thompson , Mark A. J. Chaplain

Accurate detection and segmentation of anatomical structures from ultrasound images are crucial for clinical diagnosis and biometric measurements. Although ultrasound imaging has been widely used with superiorities such as low cost and…

Computer Vision and Pattern Recognition · Computer Science 2016-07-08 Hao Chen , Yefeng Zheng , Jin-Hyeong Park , Pheng-Ann Heng , S. Kevin Zhou

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

Computer-aided tumor detection has shown great potential in enhancing the interpretation of over 80 million CT scans performed annually in the United States. However, challenges arise due to the rarity of CT scans with tumors, especially…

Image and Video Processing · Electrical Eng. & Systems 2024-09-11 Qi Chen , Yuxiang Lai , Xiaoxi Chen , Qixin Hu , Alan Yuille , Zongwei Zhou

Identification of tumor margins is essential for surgical decision-making for glioblastoma patients and provides reliable assistance for neurosurgeons. Despite improvements in deep learning architectures for tumor segmentation over the…

Image and Video Processing · Electrical Eng. & Systems 2024-04-11 Tianyi Ren , Abhishek Sharma , Juampablo Heras Rivera , Harshitha Rebala , Ethan Honey , Agamdeep Chopra , Jacob Ruzevick , Mehmet Kurt

The success of automated medical image analysis depends on large-scale and expert-annotated training sets. Unsupervised domain adaptation (UDA) has been raised as a promising approach to alleviate the burden of labeled data collection.…

Computer Vision and Pattern Recognition · Computer Science 2023-07-28 Jianan Fan , Dongnan Liu , Hang Chang , Heng Huang , Mei Chen , Weidong Cai

At the continuous level, we consider two types of tumor growth models: the cell density model, which is based on the fluid mechanical construction, is more favorable for scientific interpretation and numerical simulations; and the free…

Analysis of PDEs · Mathematics 2019-10-28 Jian-Guo Liu , Min Tang , Li Wang , Zhennan Zhou

The work presents a study of the non-linear mathematical model of tumor growth, proposed by Kolev and Zubik-Kowal (2011). The model is described by a system composed of four partial differential equations that represent the evolution of the…

Tissues and Organs · Quantitative Biology 2025-06-02 Jesika Maganin , Neyva Maria Lopes Romeiro , Eliandro Rodrigues Cirilo , Paulo Laerte Natti

Multi-center neuroimaging studies face technical variability due to batch differences across sites, which potentially hinders data aggregation and impacts study reliability.Recent efforts in neuroimaging harmonization have aimed to minimize…

Computer Vision and Pattern Recognition · Computer Science 2024-09-04 Haoyu Lan , Bino A. Varghese , Nasim Sheikh-Bahaei , Farshid Sepehrband , Arthur W Toga , Jeiran Choupan

Brain morphology is shaped by genetic and mechanical factors and is linked to biological development and diseases. Its fractal-like features, regional anisotropy, and complex curvature distributions hinder quantitative insights in medical…

Neurons and Cognition · Quantitative Biology 2025-09-09 Yingjie Zhao , Yicheng Song , Fan Xu , Zhiping Xu

Various imaging modalities are used in patient diagnosis, each offering unique advantages and valuable insights into anatomy and pathology. Computed Tomography (CT) is crucial in diagnostics, providing high-resolution images for precise…

Image and Video Processing · Electrical Eng. & Systems 2024-12-30 Rabeya Tus Sadia , Jie Zhang , Jin Chen

Despite best efforts, various challenges remain in the creation and maintenance processes of digital twins (DTs). One of those primary challenges is the constant, continuous and omnipresent evolution of systems, their user's needs and their…

Software Engineering · Computer Science 2024-11-01 Joost Mertens , Stefan Klikovits , Francis Bordeleau , Joachim Denil , Øystein Haugen

We present a general computational theory of cancer and its developmental dynamics. The theory is based on a theory of the architecture and function of developmental control networks which guide the formation of multicellular organisms.…

Molecular Networks · Quantitative Biology 2011-11-16 Eric Werner

Accurate detection and segmentation of brain tumors from magnetic resonance imaging (MRI) are essential for diagnosis, treatment planning, and clinical monitoring. While convolutional architectures such as U-Net have long been the backbone…

Computer Vision and Pattern Recognition · Computer Science 2025-10-03 Arman Behnam

Data scarcity in medical imaging poses significant challenges due to privacy concerns. Diffusion models, a recent generative modeling technique, offer a potential solution by generating synthetic and realistic data. However, questions…

Image and Video Processing · Electrical Eng. & Systems 2024-12-24 Abdullah al Nomaan Nafi , Md. Alamgir Hossain , Rakib Hossain Rifat , Md Mahabub Uz Zaman , Md Manjurul Ahsan , Shivakumar Raman

Controllable pathology image synthesis requires reliable regulation of spatial layout, tissue morphology, and semantic detail. However, existing text-guided diffusion models offer only coarse global control and lack the ability to enforce…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Yuntao Shou , Xiangyong Cao , Qian Zhao , Deyu Meng

Models of tumor growth, now commonly used, present several levels of complexity, both in terms of the biomedical ingredients and the mathematical description. The simplest ones contain competition for space using purely fluid mechanical…

Analysis of PDEs · Mathematics 2015-06-12 Benoît Perthame , Fernando Quirós , Juan Luis Vázquez

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
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