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Cancer is a complex disease and thus is complicated to model. However, simple models that describe the main processes involved in tumoral dynamics, e.g., competition and mutation, can give us clues about cancer behaviour, at least…

Dynamical Systems · Mathematics 2014-11-25 V. Castillo , J. Tomas Lazaro , J. Sardanyes

Collective migration dominates many phenomena, from cell movement in living systems to abiotic self-propelling particles. Focusing on the early stages of tumor evolution, we enunciate the principles involved in cell dynamics and highlight…

Cell Behavior · Quantitative Biology 2018-05-02 Abdul N Malmi-Kakkada , Xin Li , Himadri S. Samanta , Sumit Sinha , D. Thirumalai

Diffusion models have emerged as powerful generative frameworks by progressively adding noise to data through a forward process and then reversing this process to generate realistic samples. While these models have achieved strong…

Machine Learning · Computer Science 2025-03-04 Xingzhuo Guo , Yu Zhang , Baixu Chen , Haoran Xu , Jianmin Wang , Mingsheng Long

Diffusion models excel at creating visually impressive images but often struggle to generate images with a specified topology. The Betti number, which represents the number of structures in an image, is a fundamental measure in topology.…

Computer Vision and Pattern Recognition · Computer Science 2025-03-24 Saumya Gupta , Dimitris Samaras , Chao Chen

Diffusion models have advanced unsupervised anomaly detection by improving the transformation of pathological images into pseudo-healthy equivalents. Nonetheless, standard approaches may compromise critical information during pathology…

Image and Video Processing · Electrical Eng. & Systems 2024-03-14 Cosmin I. Bercea , Benedikt Wiestler , Daniel Rueckert , Julia A. Schnabel

Anomaly detection in medical imaging plays a crucial role in identifying pathological regions across various imaging modalities, such as brain MRI, liver CT, and carotid ultrasound (US). However, training fully supervised segmentation…

Image and Video Processing · Electrical Eng. & Systems 2025-07-29 Yuan Bi , Lucie Huang , Ricarda Clarenbach , Reza Ghotbi , Angelos Karlas , Nassir Navab , Zhongliang Jiang

Medical image segmentation is a challenging task, made more difficult by many datasets' limited size and annotations. Denoising diffusion probabilistic models (DDPM) have recently shown promise in modelling the distribution of natural…

Computer Vision and Pattern Recognition · Computer Science 2023-11-14 Margherita Rosnati , Melanie Roschewitz , Ben Glocker

Digital Twin (DT) technologies are transforming manufacturing by enabling real-time prediction, monitoring, and control of complex processes. Yet, applying DT to deformation-based metal forming remains challenging because of the strongly…

Systems and Control · Electrical Eng. & Systems 2025-11-17 Yi-Ping Chen , Derick Suarez , Ying-Kuan Tsai , Vispi Karkaria , Guanzhong Hu , Zihan Chen , Ping Guo , Jian Cao , Wei Chen

Deep generative models have emerged as promising tools for detecting arbitrary anomalies in data, dispensing with the necessity for manual labelling. Recently, autoregressive transformers have achieved state-of-the-art performance for…

Mathematical modelling of tumor growth is one of the most useful and inexpensive approaches to determine and predict the stage, size and progression of tumors in realistic geometries. Moreover, these models has been used to get an insight…

Medical Physics · Physics 2017-08-01 Miguel Martín-Landrove

We propose a diffuse interface model to describe tumor as a multicomponent deformable porous medium. We include mechanical effects in the model by coupling the mass balance equations for the tumor species and the nutrient dynamics to a…

Analysis of PDEs · Mathematics 2021-09-23 Pavel Krejci , Elisabetta Rocca , Juergen Sprekels

We investigate avascular tumour growth as a two-phase process consisting of cells and liquid. Based on the one-dimensional continuum moving-boundary model formulated by (Byrne, King, McElwain, Preziosi, Applied Mathematics Letters, 2003,…

Analysis of PDEs · Mathematics 2020-06-24 Andrea Genovese de Oliveira , John R. King

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

Working towards the development of an evolvable cancer treatment simulator, the investigation of Differential Evolution was considered, motivated by the high efficiency of variations of this technique in real-valued problems. A basic DE…

Neural and Evolutionary Computing · Computer Science 2020-03-27 Michail-Antisthenis Tsompanas , Larry Bull , Andrew Adamatzky , Igor Balaz

Employing a novel two-dimensional computational model we have simulated the feedback between angiogenesis and tumor growth dynamics. Analyzing vessel formation and elongation towards the concentration gradient of the tumor-derived…

Tissues and Organs · Quantitative Biology 2007-05-23 Eun Bo Shim , Yoo Seok Kim , Thomas S. Deisboeck

In this paper a macroscopic model of tumor cord growth is developed, relying on the mathematical theory of deformable porous media. Tumor is modeled as a saturated mixture of proliferating cells, extracellular fluid and extracellular…

Mathematical Physics · Physics 2010-11-09 Andrea Tosin

In recent years, Denoising Diffusion Models have demonstrated remarkable success in generating semantically valuable pixel-wise representations for image generative modeling. In this study, we propose a novel end-to-end framework, called…

Image and Video Processing · Electrical Eng. & Systems 2023-03-21 Zhaohu Xing , Liang Wan , Huazhu Fu , Guang Yang , Lei Zhu

Nuclei segmentation and classification is a significant process in pathology image analysis. Deep learning-based approaches have greatly contributed to the higher accuracy of this task. However, those approaches suffer from the imbalanced…

Computer Vision and Pattern Recognition · Computer Science 2023-06-27 Hyun-Jic Oh , Won-Ki Jeong

Integrating experimental data into ecological models plays a central role in understanding biological mechanisms that drive tumor progression where such knowledge can be used to develop new therapeutic strategies. While the current studies…

Biological Physics · Physics 2021-04-21 Youness Azimzade , Abbas Ali Saberi , Robert A. Gatenby

Unmanned Aerial Vehicles (UAVs) are increasingly adopted in modern communication networks. However, challenges in decision-making and digital modeling continue to impede their rapid advancement. Reinforcement Learning (RL) algorithms face…

Machine Learning · Computer Science 2025-01-13 Yousef Emami , Hao Zhou , Luis Almeida , Kai Li