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Risk evaluation to identify individuals who are at greater risk of cancer as a result of heritable pathogenic variants is a valuable component of individualized clinical management. Using principles of Mendelian genetics, Bayesian…

Event-based models (EBMs) infer disease progression from cross-sectional data, and standard EBMs assume a single underlying disease per individual. In contrast, mixed pathologies are common in neurodegeneration. We introduce the Joint…

Machine Learning · Computer Science 2026-01-14 Hongtao Hao , Joseph L. Austerweil

The emergence of a predominant phenotype within a cell population is often triggered by a rare accumulation of DNA mutations in a single cell. For example, tumors may be initiated by a single cell in which multiple mutations cooperate to…

Tissues and Organs · Quantitative Biology 2018-11-21 Philip Greulich , Benjamin D. Simons

In this thesis we develop minimal models of the relationship between motility, growth, and evolution of cancer cells. We utilise simple simulations of a population of individual cells in space to examine how changes in mechanical properties…

Populations and Evolution · Quantitative Biology 2020-05-20 Chay Paterson

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

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…

Cancer poses danger because of its unregulated growth, development of resistant subclones, and metastatic spread to vital organs. Although the major transitions in cancer development are increasingly well understood, we lack quantitative…

Populations and Evolution · Quantitative Biology 2014-08-27 Andrei R. Akhmetzhanov , Michael E. Hochberg

Tumors are defined by their intense proliferation, but sometimes cancer cells turn senescent and stop replicating. In the stochastic cancer model in which all cells are tumorigenic, senescence is seen as the result of random mutations,…

Tissues and Organs · Quantitative Biology 2013-08-29 Caterina A. M. La Porta , Stefano Zapperi , James P. Sethna

Stem cells, through their ability to produce daughter stem cells and differentiate into specialized cells, are essential in the growth, maintenance, and repair of biological tissues. Understanding the dynamics of cell populations in the…

Applications · Statistics 2026-02-02 Huyen Nguyen , Haim Bar , Zhiyi Chi , Vladimir Pozdnyakov

Real time, or quantitative, PCR typically starts from a very low concentration of initial DNA strands. During iterations the numbers increase, first essentially by doubling, later predominantly in a linear way. Observation of the number of…

Probability · Mathematics 2018-01-23 Pavel Chigansky , Peter Jagers , Fima Klebaner

Mathematical modeling in cancer has been growing in popularity and impact since its inception in 1932. The first theoretical mathematical modeling in cancer research was focused on understanding tumor growth laws and has grown to include…

Tissues and Organs · Quantitative Biology 2013-05-22 Jacob G. Scott , Philip Gerlee , David Basanta , Alexander G. Fletcher , Philip K. Maini , Alexander RA Anderson

The unwelcome evolution of malignancy during cancer progression emerges through a selection process in a complex heterogeneous population structure. In the present work, we investigate evolutionary dynamics in a phenotypically heterogeneous…

Populations and Evolution · Quantitative Biology 2018-02-07 Ali Mahdipour Shirayeh , Kamran Kaveh , Mohammad Kohandel , Siv Sivaloganathan

Northern Europe has the second highest mortality rate of melanoma globally. In 2020, the mortality rate of melanoma rose to 1.9 per 100 000 habitants. Melanoma prognosis is based on a pathologist's subjective visual analysis of the…

Image and Video Processing · Electrical Eng. & Systems 2023-03-13 Christopher Andreassen , Saul Fuster , Helga Hardardottir , Emiel A. M. Janssen , Kjersti Engan

Multiple myeloma (MM) is preceded by a long preclinical phase spanning decades, yet scalable, non-specialist tools to identify individuals at elevated risk before end-organ damage are lacking. In a prospective analysis of 299,035…

Applications · Statistics 2026-04-07 Bingjie Li , Jiadai Xu , Yiqing Sun , Feiyue Pan , Shing-Tung Yau , Peng Liu , Zhigang Yao

Major efforts to sequence cancer genomes are now occurring throughout the world. Though the emerging data from these studies are illuminating, their reconciliation with epidemiologic and clinical observations poses a major challenge. In the…

Populations and Evolution · Quantitative Biology 2010-11-18 Ivana Bozic , Tibor Antal , Hisashi Ohtsuki , Hannah Carter , Dewey Kim , Sining Chen , Rachel Karchin , Kenneth W. Kinzler , Bert Vogelstein , Martin A. Nowak

We propose a simple dynamic model of cancer development that captures carcinogenesis and subsequent cancer progression. A central idea of the model is to include the immune system as an extinction threshold, similar to the strong Allee…

Quantitative Methods · Quantitative Biology 2025-06-09 Frank Bastian , Hassan Alkhayuon , Kieran Mulchrone , Micheal O'Riordain , Sebastian Wieczorek

Understanding the strong interaction dynamics that govern the emergence of hadron mass (EHM) represents a challenging open problem in the Standard Model. In this paper we describe new opportunities for gaining insight into EHM from results…

High Energy Physics - Phenomenology · Physics 2023-01-20 Daniel S. Carman , Ralf W. Gothe , Victor I. Mokeev , Craig D. Roberts

Cancer results from a sequence of genetic and epigenetic changes which lead to a variety of abnormal phenotypes including increased proliferation and survival of somatic cells, and thus, to a selective advantage of pre-cancerous cells. The…

Populations and Evolution · Quantitative Biology 2011-12-05 Erik A. Martens , R. Kostadinov , Carlo C. Maley , Oskar Hallatschek

The number of studies on deep learning for medical diagnosis is expanding, and these systems are often claimed to outperform clinicians. However, only a few systems have shown medical efficacy. From this perspective, we examine a wide range…

Image and Video Processing · Electrical Eng. & Systems 2023-04-04 Numan Saeed , Muhammad Ridzuan , Hussain Alasmawi , Ikboljon Sobirov , Mohammad Yaqub

There is a widening recognition that cancer cells are products of complex developmental processes. Carcinogenesis and metastasis formation are increasingly described as systems-level, network phenomena. Here we propose that malignant…

Molecular Networks · Quantitative Biology 2013-09-18 David M. Gyurko , Daniel V. Veres , Dezso Modos , Katalin Lenti , Tamas Korcsmaros , Peter Csermely