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We present a mathematical analysis of a mixed ODE-PDE model describing the spatial distribution and temporal evolution of tumor and normal cells within a tissue subject to the effects of a chemotherapeutic drug. The model assumes that the…

Analysis of PDEs · Mathematics 2019-02-06 Anderson L. A. de Araujo , Artur C. Fassoni , Luís F. Salvino

Data scarcity hinders deep learning for medical imaging. We propose a framework for breast cancer classification in thermograms that addresses this using a Diffusion Probabilistic Model (DPM) for data augmentation. Our DPM-based…

Computer Vision and Pattern Recognition · Computer Science 2025-09-10 Sepehr Salem , M. Moein Esfahani , Jingyu Liu , Vince Calhoun

Deep learning (DL) models for segmenting various anatomical structures have achieved great success via a static DL model that is trained in a single source domain. Yet, the static DL model is likely to perform poorly in a continually…

Computer Vision and Pattern Recognition · Computer Science 2023-06-01 Xiaofeng Liu , Helen A. Shih , Fangxu Xing , Emiliano Santarnecchi , Georges El Fakhri , Jonghye Woo

In this work, we present a coupled 3D-1D model of solid tumor growth within a dynamically changing vascular network to facilitate realistic simulations of angiogenesis. Additionally, the model includes erosion of the extracellular matrix,…

Tissues and Organs · Quantitative Biology 2021-06-23 Marvin Fritz , Prashant K. Jha , Tobias Köppl , J. Tinsley Oden , Andreas Wagner , Barbara Wohlmuth

The adoption of digital twins (DTs) in precision medicine is increasingly viable, propelled by extensive data collection and advancements in artificial intelligence (AI), alongside traditional biomedical methodologies. However, the reliance…

A new mathematical model and numerical approach are proposed for the simulation of fluid and chemical exchanges between a growing capillary network and the surrounding tissue, in the context of tumor-induced angiogenesis. Thanks to proper…

Tissues and Organs · Quantitative Biology 2022-12-02 Stefano Berrone , Chiara Giverso , Denise Grappein , Luigi Preziosi , Stefano Scialò

Adaptive therapy (AT) is designed to postpone the emergence of drug resistance by exploiting evolutionary competition among tumor subclones. Most mathematical models of AT assume a binary population structure of drug-sensitive and…

Populations and Evolution · Quantitative Biology 2026-05-19 Rui Yue , Chenghang Li , Jinzhi Lei

In this paper, we investigate the tumor instability by employing both analytical and numerical techniques to validate previous results and extend the analytical findings presented in a prior study by Feng et al 2023. Building upon the…

Analysis of PDEs · Mathematics 2024-01-11 Jian-Guo Liu , Thomas Witelski , Xiaoqian Xu , Jiaqi Zhang

Emerging from NASA's spacecraft simulations in the 1960s, digital twin technology has advanced through industrial adoption to spark a healthcare transformation. A digital twin is a dynamic, data-driven virtual counterpart of a physical…

Artificial Intelligence · Computer Science 2025-11-27 Yunqi Zhang , Kuangyu Shi , Biao Li

Diffusion models are important in tissue engineering as they enable an understanding of molecular delivery to cells in tissue constructs. As three-dimensional (3D) tissue constructs become larger, more intricate, and more clinically…

Tissues and Organs · Quantitative Biology 2015-12-22 Richard J. McMurtrey

Digital Twins technology is revolutionizing decision-making in scientific research by integrating models and simulations with real-time data. Unlike traditional Structural Health Monitoring methods, which rely on computationally intensive…

Computer Vision and Pattern Recognition · Computer Science 2024-10-10 Mehrdad Shafiei Dizaji

Accurate medical image segmentation is essential for effective diagnosis and treatment planning but is often challenged by domain shifts caused by variations in imaging devices, acquisition conditions, and patient-specific attributes.…

Image and Video Processing · Electrical Eng. & Systems 2024-12-06 Jie Bao , Zhixin Zhou , Wen Jung Li , Rui Luo

We investigate the dynamics of a nonlinear system modeling tumor growth with drug application. The tumor is viewed as a mixture consisting of proliferating, quiescent and dead cells as well as a nutrient in the presence of a drug. The…

Analysis of PDEs · Mathematics 2015-06-22 Donatella Donatelli , Konstantina Trivisa

Diffuse gliomas are malignant brain tumors that grow widespread through the brain. The complex interactions between neoplastic cells and normal tissue, as well as the treatment-induced changes often encountered, make glioma tumor growth…

We consider a biphasic continuum model for avascular tumour growth in two spatial dimensions, in which a cell phase and a fluid phase follow conservation of mass and momentum. A limiting nutrient that follows a diffusion process controls…

Numerical Analysis · Mathematics 2020-10-21 Jerome Droniou , Jennifer A. Flegg , Gopikrishnan C. Remesan

Digital twins (DT) are often defined as a pairing of a physical entity and a corresponding virtual entity (VE), mimicking certain aspects of the former depending on the use-case. In recent years, this concept has facilitated numerous…

Supermodeling is a modern, model-ensembling paradigm that integrates several self-synchronized imperfect sub-models by controlling a few meta-parameters to generate more accurate predictions of complex systems' dynamics. Continual…

Computational Engineering, Finance, and Science · Computer Science 2021-03-01 Maciej Paszynski , Leszek Siwik , Witold Dzwinel , Keshav Pingali

Generative AI framework-based modeling and prediction of longitudinal human brain images offer an efficient mechanism to track neurodegenerative progression, essential for the assessment of diseases like Alzheimer's. Among the existing…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Ayantika Das , Keerthi Ram , Mohanasankar Sivaprakasam

A systematic understanding of the evolution and growth dynamics of invasive solid tumors in response to different chemotherapy strategies is crucial for the development of individually optimized oncotherapy. Here, we develop a hybrid…

Tissues and Organs · Quantitative Biology 2020-07-01 Hang Xie , Yang Jiao , Qihui Fan , Miaomiao Hai , Jiaen Yang , Zhijian Hu , Yue Yang , Jianwei Shuai , Guo Chen , Ruchuan Liu , Liyu Liu

Computational modeling of cancer can help unveil dynamics and interactions that are hard to replicate experimentally. Thanks to the advancement in cancer databases and data analysis technologies, these models have become more robust than…

Quantitative Methods · Quantitative Biology 2023-11-07 Navid Mohammad Mirzaei , Leili Shahriyari