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At present it is still quite difficult to match the vast knowledge on the behavior of individual tumor cells with macroscopic measurements on clinical tumors. On the modeling side, we already know how to deal with many molecular pathways…

Tissues and Organs · Quantitative Biology 2012-01-16 Roberto Chignola , Edoardo Milotti

We propose and study a strongly coupled PDE-ODE-ODE system modeling cancer cell invasion through a tissue network under the go-or-grow hypothesis asserting that cancer cells can either move or proliferate. Hence our setting features two…

Analysis of PDEs · Mathematics 2016-05-31 Anna Zhigun , Christina Surulescu , Alexander Hunt

The tumor microenvironment (TME) is a spatially heterogeneous ecosystem where cellular interactions shape tumor progression and response to therapy. Multiplexed imaging technologies enable high-resolution spatial characterization of the…

Applications · Statistics 2025-04-04 Joel Eliason , Arvind Rao , Timothy L Frankel , Michele Peruzzi

AI-driven precision oncology has the transformative potential to reshape cancer treatment by leveraging the power of AI models to analyze the interaction between complex patient characteristics and their corresponding treatment outcomes.…

We consider the analysis of high dimensional data given in the form of a matrix with columns consisting of observations and rows consisting of features. Often the data is such that the observations do not reside on a regular grid, and the…

Machine Learning · Statistics 2017-08-22 Gal Mishne , Ronen Talmon , Israel Cohen , Ronald R. Coifman , Yuval Kluger

Computational pathology, which involves analyzing whole slide images for automated cancer diagnosis, relies on multiple instance learning, where performance depends heavily on the feature extractor and aggregator. Recent Pathology…

Computer Vision and Pattern Recognition · Computer Science 2025-05-22 Conghao Xiong , Hao Chen , Joseph J. Y. Sung

Motivation: Driver (epi)genomic alterations underlie the positive selection of cancer subpopulations, which promotes drug resistance and relapse. Even though substantial heterogeneity is witnessed in most cancer types, mutation accumulation…

In this paper, we present a probabilistic analysis of a dynamical particle model for the self-adaptive immune response to cancer, as proposed by the first author in a previous work. The model is motivated by the interplay between immune…

Probability · Mathematics 2025-08-06 Christian Kuehn , Quirin Vogel

Biological functions stem from coordinated interactions among proteins, nucleic acids and small molecules. Mass spectrometry technologies for reliable, high throughput single-cell proteomics will add a new modality to genomics and enable…

Genomics · Quantitative Biology 2023-11-07 Andrew Leduc , Hannah Harens , Nikolai Slavov

Cancer is viewed as a multistep process whereby a normal cell is transformed into a cancer cell through the acquisition of mutations. We reduce the complexities of cancer progression to a simple set of underlying rules that govern the…

Cell Behavior · Quantitative Biology 2007-05-23 Sabrina L. Spencer , Matthew J. Berryman , Jose A. Garcia , Derek Abbott

Cancer development is a multistep process often starting with a single cell in which a number of epigenetic and genetic alterations have accumulated thus transforming it into a tumor cell. The progeny of such a single benign tumor cell…

Tissues and Organs · Quantitative Biology 2022-09-21 Steffen Lange , Richard Mogwitz , Denis Hünniger , Anja Voss-Böhme

Artificial intelligence represents a new frontier in human medicine that could save more lives and reduce the costs, thereby increasing accessibility. As a consequence, the rate of advancement of AI in cancer medical imaging and more…

With recent advancements in the development of artificial intelligence applications using theories and algorithms in machine learning, many accurate models can be created to train and predict on given datasets. With the realization of the…

Machine Learning · Computer Science 2024-03-29 Pei Xi , Lin

Intratumour phenotypic heterogeneity is nowadays understood to play a critical role in disease progression and treatment failure. Accordingly, there has been increasing interest in the development of mathematical models capable of capturing…

Populations and Evolution · Quantitative Biology 2025-04-10 Chiara Villa , Philip K Maini , Alexander P Browning , Adrianne L Jenner , Sara Hamis , Tyler Cassidy

Cancer is a complex disease, the understanding and treatment of which are being aided through increases in the volume of collected data and in the scale of deployed computing power. Consequently, there is a growing need for the development…

Statistical and computational methods are widely used in today's scientific studies. Using a female fertility potential in childhood cancer survivors as an example, we illustrate how these methods can be used to extract insight regarding…

Applications · Statistics 2020-11-20 L. Yu , Z. Lu , P. C. Nathan , S. Mostoufi-Moab , Y. Yuan

Much of our mechanistic understanding of the functions of biological macromolecules is based on static structural experiments, which can be modelled either as single structures or conformational ensembles. While these provide us with…

Biomolecules · Quantitative Biology 2025-10-02 Daria Gusew , Carl G. Henning Hansen , Kresten Lindorff-Larsen

Recent advances in biological research have seen the emergence of high-throughput technologies with numerous applications that allow the study of biological mechanisms at an unprecedented depth and scale. A large amount of genomic data is…

Machine Learning · Statistics 2020-05-11 Nanwei Wang , Laurent Briollais , Helene Massam

Research into somatic mutations in cancer cell DNA and their role in tumour growth and progression between successive stages is crucial for improving our understanding of cancer evolution. Mathematical and computer modelling can provide…

Populations and Evolution · Quantitative Biology 2024-02-26 Andrzej Polanski , Mateusz Kania , Jarosław Gil , Wojciech Łabaj , Ewa Lach , Agnieszka Szczęsna

Understanding tumor invasion and metastasis is of crucial importance for both fundamental cancer research and clinical practice. In vitro experiments have established that the invasive growth of malignant tumors is characterized by the…

Biological Physics · Physics 2023-07-19 Yang Jiao , Salvatore Torquato