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Deep artificial neural networks require a large corpus of training data in order to effectively learn, where collection of such training data is often expensive and laborious. Data augmentation overcomes this issue by artificially inflating…

Machine Learning · Computer Science 2017-08-22 Luke Taylor , Geoff Nitschke

Cell-based models provide a helpful approach for simulating complex systems that exhibit adaptive, resilient qualities, such as cancer. Their focus on individual cell interactions makes them a particularly appropriate strategy to study the…

Quantitative Methods · Quantitative Biology 2022-11-30 Juan Uriel Legaria-Peña , Félix Sánchez-Morales , Yuriria Cortés-Poza

In this paper, a two-dimensional model for the growth of multi-layer tumors is presented. The model consists of a free boundary problem for the tumor cell membrane and the tumor is supposed to grow or shrink due to cell proliferation or…

Analysis of PDEs · Mathematics 2013-06-11 Martin Kohlmann

In radiation therapy tumor size, and thus also volume, has a significant impact on the local control of tumors. Moreover, tumor volume is a significant prognostic factor for modelling and predicting therapeutic outcomes in cancer treatment.…

Medical Physics · Physics 2023-03-21 Stephan Radonic , Jürgen Besserer , Jessica Kneubühl , Valeria Meier , Uwe Schneider

Comparative diagnostic in brain tumor evaluation makes possible to use the available information of a medical center to compare similar cases when a new patient is evaluated. By leveraging Artificial Intelligence models, the proposed system…

Image and Video Processing · Electrical Eng. & Systems 2024-05-31 Guillermo Iglesias , Edgar Talavera , Jesús Troya Garcìa , Alberto Díaz-Álvarez , Miguel Gracía-Remesal

Both medical care and observational studies in oncology require a thorough understanding of a patient's disease progression and treatment history, often elaborately documented in clinical notes. Despite their vital role, no current oncology…

Computation and Language · Computer Science 2024-03-18 Madhumita Sushil , Vanessa E. Kennedy , Divneet Mandair , Brenda Y. Miao , Travis Zack , Atul J. Butte

Cancer is a disease that takes millions of lives every year. Then, to propose treatments, avoid recurrence, and improve the patient's life quality, we need to analyze this disease from a biophysical perspective with a solid mathematical…

Quantitative Methods · Quantitative Biology 2024-07-09 Carlos M. Nieto , Oscar M. Pimentel , Fabio D. Lora-Clavijo

In this paper we study a mathematical model for the growth of nonnecrotic solid tumor. The tumor is assumed to be radially symmetric and its radius R(t) is an unknown function of time t as tumor growth, and the model is in the form of a…

Analysis of PDEs · Mathematics 2016-11-14 Junde Wu

Glioblastoma exhibits diverse, infiltrative, and patient-specific growth patterns that are only partially visible on routine MRI, making it difficult to reliably assess true tumor extent and personalize treatment planning and follow-up. We…

Computer Vision and Pattern Recognition · Computer Science 2026-03-06 Valentin Biller , Niklas Bubeck , Lucas Zimmer , Ayhan Can Erdur , Sandeep Nagar , Anke Meyer-Baese , Daniel Rückert , Benedikt Wiestler , Jonas Weidner

With the advanced imaging technology, digital pathology imaging of tumor tissue slides is becoming a routine clinical procedure for cancer diagnosis. This process produces massive imaging data that capture histological details in high…

Applications · Statistics 2020-12-10 Esteban Fernández Morales , Cong Zhang , Guanghua Xiao , Chul Moon , Qiwei Li

Non-small cell lung cancer (NSCLC) is often intrinsically resistant to several first- and second-line therapeutics and can rapidly acquire further resistance after a patient begins receiving treatment. Treatment outcomes are therefore…

Biomolecules · Quantitative Biology 2024-10-23 Benjamin K. Schneider , Sebastien Benzekry , Jonathan P. Mochel

We examine a lattice model of tumor growth where survival of tumor cells depends on the supplied nutrients. When such a supply is random, the extinction of tumors belongs to the directed percolation universality class. However, when the…

Statistical Mechanics · Physics 2015-05-30 Antonio Luis Ferreira , Dorota Lipowska , Adam Lipowski

Rare gynecological tumors (RGTs) present major clinical challenges due to their low incidence and heterogeneity. The lack of clear guidelines leads to suboptimal management and poor prognosis. Molecular tumor boards accelerate access to…

Bladder cancer claims one life every 3 minutes worldwide. Most patients are diagnosed with non-muscle-invasive bladder cancer (NMIBC), yet up to 70% recur after treatment, triggering a relentless cycle of surgeries, monitoring, and risk of…

Machine Learning · Computer Science 2025-07-29 Saram Abbas , Naeem Soomro , Rishad Shafik , Rakesh Heer , Kabita Adhikari

In this paper, we study a nonlinearly coupled initial-boundary value problem describing the evolution of brain tumor growth including lactate metabolism. In our modeling approach, we also take into account the viscoelastic properties of the…

Analysis of PDEs · Mathematics 2025-02-05 Giulia Cavalleri , Pierluigi Colli , Alain Miranville , Elisabetta Rocca

Accurate prediction of treatment outcomes in lung cancer remains challenging due to the sparsity, heterogeneity, and contextual overload of real-world electronic health data. Traditional models often fail to capture semantic information…

We present multiscale models of cancer tumor invasion with components at the molecular, cellular, and tissue levels. We provide biological justifications for the model components, present computational results from the model, and discuss…

Quantitative Methods · Quantitative Biology 2023-02-14 Bruce P. Ayati , Glenn F. Webb , Alexander R. A. Anderson

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

Differentiating true tumor progression (TP) from treatment-related pseudoprogression (PsP) in glioblastoma remains challenging, especially at early follow-up. We present the first stage-specific, cross-sectional benchmarking of deep…

Computer Vision and Pattern Recognition · Computer Science 2025-12-30 Wenhao Guo , Golrokh Mirzaei

This paper primarily addresses a dataset relating to cellular, chemical and physical conditions of patients gathered at the time they are operated upon to remove colorectal tumours. This data provides a unique insight into the biochemical…

Machine Learning · Computer Science 2016-11-17 Christopher Roadknight , Durga Suryanarayanan , Uwe Aickelin , John Scholefield , Lindy Durrant