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We derive a Cahn-Hilliard-Darcy model to describe multiphase tumour growth taking interactions with multiple chemical species into account as well as the simultaneous occurrence of proliferating, quiescent and necrotic regions. Via a…

Analysis of PDEs · Mathematics 2019-11-01 Harald Garcke , Kei Fong Lam , Robert Nürnberg , Emanuel Sitka

Lung cancer (LC) remains the primary cause of cancer-related mortality, largely due to late-stage diagnoses. Effective strategies for early detection are therefore of paramount importance. In recent years, machine learning (ML) has…

Surgery planning in patients diagnosed with brain tumor is dependent on their survival prognosis. A poor prognosis might demand for a more aggressive treatment and therapy plan, while a favorable prognosis might enable a less risky surgery…

Image and Video Processing · Electrical Eng. & Systems 2020-09-08 Sobia Yousaf , Syed Muhammad Anwar , Harish RaviPrakash , Ulas Bagci

Multi-gene panel testing allows many cancer susceptibility genes to be tested quickly at a lower cost making such testing accessible to a broader population. Thus, more patients carrying pathogenic germline mutations in various…

The move towards personalized treatment and digital twins for cancer therapy requires a complete understanding of the mathematical models upon which these optimized simulation-based strategies are formulated. This study investigates the…

Quantitative Methods · Quantitative Biology 2025-11-21 Changin Oh , Kathleen P. Wilkie

We consider Bayesian hierarchical models for survival analysis, where the survival times are modeled through an underlying diffusion process which determines the hazard rate. We show how these models can be efficiently treated by means of…

Statistics Theory · Mathematics 2010-10-11 Gareth O. Roberts , Laura M. Sangalli

In this paper, we propose a tumor growth model to incorporate and investigate the spatial effects of autophagy. The cells are classified into two phases: normal cells and autophagic cells, whose dynamics are also coupled with the nutrients.…

Analysis of PDEs · Mathematics 2021-08-31 Xu'an Dou , Jian-Guo Liu , Zhennan Zhou

Central to the quest for a deeper understanding of the cancer growth and spread process, the naturally multiscale character of cancer invasion demands appropriate multiscale modelling and analysis approach. The cross-talk between the tissue…

Numerical Analysis · Mathematics 2018-05-22 Thomas Carraro , Sven E. Wetterauer , Ana Victoria Ponce Bobadilla , Dumitru Trucu

Longitudinal imaging analysis tracks disease progression and treatment response over time, providing dynamic insights into treatment efficacy and disease evolution. Radiomic features extracted from medical imaging can support the study of…

Applications · Statistics 2025-05-14 Isabella Cama , Michele Piana , Cristina Campi , Sara Garbarino

Distributed lag models are useful in environmental epidemiology as they allow the user to investigate critical windows of exposure, defined as the time period during which exposure to a pollutant adversely affects health outcomes. Recent…

Methodology · Statistics 2021-08-02 Joseph Antonelli , Ander Wilson , Brent Coull

Theoretical and computational tools that can be used in the clinic to predict neoplastic progression and propose individualized optimal treatment strategies to control cancer growth is desired. To develop such a predictive model, one must…

Cell Behavior · Quantitative Biology 2015-05-20 Salvatore Torquato

Lung cancer remains one of the leading causes of cancer-related mortality, yet most survival models rely only on baseline factors and overlook posttreatment variables that reflect disease progression. To address this gap, we applied Cox…

Applications · Statistics 2025-10-03 Varun Vishwanathan Nair , Victor Miranda Soberanis

Radiotherapy is a commonly used treatment for cancer and is usually given in varying doses. At low radiation doses relatively few cells die as a direct response to radiation but secondary radiation effects such as DNA mutation or bystander…

Quantitative Methods · Quantitative Biology 2016-06-16 Gibin G Powathil , Alastair J Munro , Mark AJ Chaplain , Maciej Swat

Research in cell biology is steadily contributing new knowledge about many different aspects of physiological processes like polymerization, both with respect to the involved molecular structures as well as their related function.…

Human-Computer Interaction · Computer Science 2014-07-15 Ivan Kolesar , Julius Parulek , Ivan Viola , Stefan Bruckner , Anne-Kristin Stavrum , Helwig Hauser

The current cancer treatment practice collects multimodal data, such as radiology images, histopathology slides, genomics and clinical data. The importance of these data sources taken individually has fostered the recent raise of radiomics…

Machine Learning · Computer Science 2023-06-16 Matteo Tortora , Ermanno Cordelli , Rosa Sicilia , Lorenzo Nibid , Edy Ippolito , Giuseppe Perrone , Sara Ramella , Paolo Soda

Joint modelling of longitudinal and survival data is increasingly used in clinical trials on cancer. In prostate cancer for example, these models permit to account for the link between longitudinal measures of prostate-specific antigen…

High-energy antinucleus-nucleus collisions are studied in the extended multi-chain model. The event probability of inclusive process is calculated by means of the operator matrix in the moment space. Analytic forms for single-particle…

High Energy Physics - Phenomenology · Physics 2012-06-28 Hujio Noda , Shin-Ichi Nakariki , Tsutomu Tashiro

Initiation and development of a malignant tumor is a complex phenomenon that has critical stages determining its long time behavior. This phenomenon is mathematically described by means of various models: from simple heuristic models to…

Populations and Evolution · Quantitative Biology 2020-03-23 Yuri Kozitsky , Krzysztof Pilorz

The paper presents a computational stochastic model of virtual cells irradiation, based on Quasi-Markov Chain Monte Carlo method and using biophysical input. The model is based on a stochastic tree of probabilities for each cell of the…

Biological Physics · Physics 2014-12-23 Krzysztof Wojciech Fornalski

We investigate the quark backreaction on the Polyakov loop and its impact on the thermodynamics of quantum chromodynamics. The dynamics of the gluons generating the Polyakov-loop potential is altered by the presence of dynamical quarks.…

High Energy Physics - Phenomenology · Physics 2013-04-15 Lisa M. Haas , Rainer Stiele , Jens Braun , Jan M. Pawlowski , Juergen Schaffner-Bielich
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