English
Related papers

Related papers: New tools for comparing classical and neural ODE m…

200 papers

Glioblastoma Multiforme (GBM) is a highly aggressive brain tumour with limited therapeutic options and poor prognosis. This study presents a mathematical framework to investigate the efficacy of immunotherapy strategies based on cytotoxic…

Populations and Evolution · Quantitative Biology 2025-12-23 Francesca Ballatore , Lorenzo Scolaris , Chiara Giverso

Purpose; The purpose of this study is to classify glial tumors into grade II, III and IV categories noninvasively by application of machine learning to multi-modal MRI features in comparison with volumetric analysis. Methods; We…

Image and Video Processing · Electrical Eng. & Systems 2022-08-16 Sevcan Turk , Kaya Oguz , Mehmet Orman , Emre Caliskan , Yesim Ertan , Erkin Ozgiray , Taner Akalin , Ashok Srinivasan , Omer Kitis

Overall survival (OS) is the gold standard for assessing patient benefit and cost-effectiveness of new cancer drugs. However, it is often difficult to use OS as the primary endpoint in randomized clinical trials (RCTs) for patients with…

Methodology · Statistics 2026-04-23 Sidi Wang , Kelley Kidwell , Bo Huang , Satrajit Roychoudhury

We have previously reported that a universal growth law, as proposed by West and collaborators for all living organisms, appears to be able to describe also the growth of tumors in vivo. In contrast to the assumption of a fixed power…

Quantitative Methods · Quantitative Biology 2007-05-23 Caterina Guiot , Pier Paolo Delsanto , Alberto Carpinteri , Nicola Pugno Yuri Mansury , Thomas S. Deisboeck

Prognosis prediction is crucial for determining optimal treatment plans for lung cancer patients. Traditionally, such predictions relied on models developed from retrospective patient data. Recently, large language models (LLMs) have gained…

Computation and Language · Computer Science 2024-08-16 Danqing Hu , Bing Liu , Xiang Li , Xiaofeng Zhu , Nan Wu

Brain tumor segmentation from magnetic resonance imaging (MRI) plays an important role in diagnostic radiology. To overcome the practical issues in manual approaches, there is a huge demand for building automatic tumor segmentation…

Image and Video Processing · Electrical Eng. & Systems 2023-02-14 Dhrumil Patel , Dhruv Patel , Rudra Saxena , Thangarajah Akilan

Determining the spread of GTV$_{LN}$ is essential in defining the respective resection or irradiating regions for the downstream workflows of surgical resection and radiotherapy for many cancers. Different from the more common enlarged…

Computer Vision and Pattern Recognition · Computer Science 2020-09-01 Chun-Hung Chao , Zhuotun Zhu , Dazhou Guo , Ke Yan , Tsung-Ying Ho , Jinzheng Cai , Adam P. Harrison , Xianghua Ye , Jing Xiao , Alan Yuille , Min Sun , Le Lu , Dakai Jin

The limits of TDF (time, dose, and fractionation) and linear quadratic models have been known for a long time. Medical physicists and physicians are required to provide fast and reliable interpretations regarding the delivered doses or any…

Computational Engineering, Finance, and Science · Computer Science 2013-08-28 Cyril Voyant , Daniel Julian , Rudy Roustit , Katia Biffi , Celine Lantieri Marcovici

The use of mathematical models to make predictions about tumor growth and response to treatment has become increasingly more prevalent in the clinical setting. The level of complexity within these models ranges broadly, and the calibration…

Quantitative Methods · Quantitative Biology 2021-12-28 Allison L. Lewis , Kathleen M. Storey , Heyrim Cho , Anna C. Zittle

We investigate a partial differential equation model of a cancer cell population, which is structured with respect to age and telomere length of cells. We assume a continuous telomere length structure, which is applicable to the clonal…

Analysis of PDEs · Mathematics 2019-03-06 József Z. Farkas , Glenn F. Webb

The cells and their spatial patterns in the tumor microenvironment (TME) play a key role in tumor evolution, and yet the latter remains an understudied topic in computational pathology. This study, to the best of our knowledge, is among the…

Quantitative Methods · Quantitative Biology 2021-09-21 Pingjun Chen , Muhammad Aminu , Siba El Hussein , Joseph D. Khoury , Jia Wu

Prognostic tumor growth modeling via volumetric medical imaging observations can potentially lead to better outcomes of tumor treatment and surgical planning. Recent advances of convolutional networks have demonstrated higher accuracy than…

Computer Vision and Pattern Recognition · Computer Science 2019-09-25 Ling Zhang , Le Lu , Xiaosong Wang , Robert M. Zhu , Mohammadhadi Bagheri , Ronald M. Summers , Jianhua Yao

Formulating tumor models that predict growth under therapy is vital for improving patient-specific treatment plans. In this context, we present our recent work on simulating non-small-scale cell lung cancer (NSCLC) in a simple,…

A brain tumour is a mass or cluster of abnormal cells in the brain, which has the possibility of becoming life-threatening because of its ability to invade neighbouring tissues and also form metastases. An accurate diagnosis is essential…

Image and Video Processing · Electrical Eng. & Systems 2022-01-28 Soumick Chatterjee , Faraz Ahmed Nizamani , Andreas Nürnberger , Oliver Speck

Large Language Models (LLMs) can enhance their capabilities as AI assistants by integrating external tools, allowing them to access a wider range of information. While recent LLMs are typically fine-tuned with tool usage examples during…

Computation and Language · Computer Science 2025-02-27 Jie He , Jennifer Neville , Mengting Wan , Longqi Yang , Hui Liu , Xiaofeng Xu , Xia Song , Jeff Z. Pan , Pei Zhou

Deep learning for regression tasks on medical imaging data has shown promising results. However, compared to other approaches, their power is strongly linked to the dataset size. In this study, we evaluate 3D-convolutional neural networks…

Computer Vision and Pattern Recognition · Computer Science 2018-11-13 Yannick Suter , Alain Jungo , Michael Rebsamen , Urspeter Knecht , Evelyn Herrmann , Roland Wiest , Mauricio Reyes

In this work we investigate a mathematical model describing tumour growth under a treatment by chemotherapy that incorporates time-delay related to the conversion from resting to hunting cells. We study the model using values for the…

Tissues and Organs · Quantitative Biology 2013-12-09 F. S. Borges , K. C. Iarosz , H. P. Ren , A. M. Batista , M. S. Baptista , R. L. Viana , S. R. Lopes , C. Grebogi

In this paper we propose an ecological resilience point of view on cancer. This view is based on the analysis of a simple ODE model for the interactions between cancer and normal cells. The model presents two regimes for tumor growth. In…

Populations and Evolution · Quantitative Biology 2016-09-01 Artur C. Fassoni , Hyun M. Yang

Tumor growth is associated with cell invasion and mass-effect, which are traditionally formulated by mathematical models, namely reaction-diffusion equations and biomechanics. Such models can be personalized based on clinical measurements…

Computer Vision and Pattern Recognition · Computer Science 2018-01-26 Ling Zhang , Le Lu , Ronald M. Summers , Electron Kebebew , Jianhua Yao

Using basic thermodynamic principles we derive a Cahn--Hilliard--Darcy model for tumour growth including nutrient diffusion, chemotaxis, active transport, adhesion, apoptosis and proliferation. The model generalises earlier models and in…

Analysis of PDEs · Mathematics 2016-06-06 Harald Garcke , Kei Fong Lam , Emanuel Sitka , Vanessa Styles