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We present a novel formulation for the calibration of a biophysical tumor growth model from a single-time snapshot, MRI scan of a glioblastoma patient. Tumor growth models are typically nonlinear parabolic partial differential equations…

Quantitative Methods · Quantitative Biology 2020-06-30 Klaudius Scheufele , Shashank Subramanian , Andreas Mang , George Biros , Miriam Mehl

Computational pathology is part of precision oncology medicine. The integration of high-throughput data including genomics, transcriptomics, proteomics, metabolomics, pathomics, and radiomics into clinical practice improves cancer treatment…

Image and Video Processing · Electrical Eng. & Systems 2022-06-07 Liangrui Pan , Zhichao Feng , Shaoliang Peng

Radiation therapy is one of the most common cancer treatments, and dose optimization and targeting of radiation are crucial since both cancerous and healthy cells are affected. Different mathematical and computational approaches have been…

Biological Physics · Physics 2025-11-07 Mirko Bagnarol , Gianluca Lattanzi , Jan Åström , Mikko Karttunen

We present a stochastic computational model of avascular tumors, emphasizing the detailed implementation of the first four so-called hallmarks of cancer: self-sufficiency in growth factors, resistance to growth inhibitors, avoidance of…

Populations and Evolution · Quantitative Biology 2024-02-05 Erik Blom , Stefan Engblom , Gesina Menz

In many applications of tomography, the acquired projections are either limited in number or contain a significant amount of noise. In these cases, standard reconstruction methods tend to produce artifacts that can make further analysis…

Numerical Analysis · Mathematics 2016-04-11 D. M. Pelt , K. J. Batenburg

Tumor is heterogeneous - a tumor sample usually consists of a set of subclones with distinct transcriptional profiles and potentially different degrees of aggressiveness and responses to drugs. Understanding tumor heterogeneity is therefore…

Applications · Statistics 2017-02-28 Fangzheng Xie , Mingyuan Zhou , Yanxun Xu

During cancer progression, malignant cells accumulate somatic mutations that can lead to genetic aberrations. In particular, evolutionary events akin to segmental duplications or deletions can alter the copy-number profile (CNP) of a set of…

Genomics · Quantitative Biology 2020-02-27 Garance Cordonnier , Manuel Lafond

Deep learning methods have become the state of the art for undersampled MR reconstruction. Particularly for cases where it is infeasible or impossible for ground truth, fully sampled data to be acquired, self-supervised machine learning…

We have presented the basic knowledge on the structure of molecules coding the genetic information, mechanisms of transfer of this information from DNA to proteins and phenomena connected with replication of DNA. In particular, we have…

Genomics · Quantitative Biology 2009-09-30 Dorota Mackiewicz , Stanislaw Cebrat

Heterogeneity is a hallmark of all cancers. Tumor heterogeneity is found at different levels -- interpatient, intrapatient, and intratumor heterogeneity. All of them pose challenges for clinical treatments. The latter two scenarios can also…

Soft Condensed Matter · Physics 2020-04-03 Xin Li , D. Thirumalai

The inversion of linear systems is a fundamental step in many inverse problems. Computational challenges exist when trying to invert large linear systems, where limited computing resources mean that only part of the system can be kept in…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-05 Yushan Gao , Thomas Blumensath

Coded Aperture Imaging (CAI) has been proposed as an alternative collimation technique in nuclear imaging. To maximize spatial resolution small pinholes in the coded aperture mask are required. However, a high-resolution detector is needed…

Medical Physics · Physics 2023-06-16 Tobias Meißner , Werner Nahm , Jürgen Hesser , Nikolas Löw

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

Risk stratification (characterization) of tumors from radiology images can be more accurate and faster with computer-aided diagnosis (CAD) tools. Tumor characterization through such tools can also enable non-invasive cancer staging,…

Computer Vision and Pattern Recognition · Computer Science 2019-01-21 Sarfaraz Hussein , Pujan Kandel , Candice W. Bolan , Michael B. Wallace , Ulas Bagci

Heterogeneity in characteristics from one region (sub-population) to another, commonly observed in complex systems, such as glasses and a collection of cells, is hard to describe theoretically. In the context of cancer, intra-tumor…

Soft Condensed Matter · Physics 2022-02-23 Sumit Sinha , Xin Li , Dave Thirumalai

Development of a tumor is known to be a result of accumulation of DNA changes in somatic cells. However, the processes of how DNA changes are produced and how they accumulate in somatic cells are not clear. DNA changes include two types:…

Tissues and Organs · Quantitative Biology 2017-01-05 Jicun Wang-Michelitsch , Thomas M. Michelitsch

Medical imaging modalities have revolutionized health-care approaches by offering a better understanding of the human anatomy. Discovery of x-rays allowed the exploiting of the micro-scaled information of human anatomy. Computed tomography…

Medical Physics · Physics 2018-09-18 Sanam Assili

We present a mathematical study of the emergence of phenotypic heterogeneity in vascularised tumours. Our study is based on formal asymptotic analysis and numerical simulations of a system of non-local parabolic equations that describes the…

Tissues and Organs · Quantitative Biology 2021-03-26 Chiara Villa , Mark A. J. Chaplain , Tommaso Lorenzi

Most human tumors result from the accumulation of multiple genetic and epigenetic alterations in a single cell. Mutations that confer a fitness advantage to the cell are known as driver mutations and are causally related to tumorigenesis.…

Probability · Mathematics 2010-07-15 Rick Durrett , Jasmine Foo , Kevin Leder , John Mayberry , Franziska Michor

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