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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…

组织与器官 · 定量生物学 2021-03-26 Chiara Villa , Mark A. J. Chaplain , Tommaso Lorenzi

This work is motivated by multimodality breast cancer imaging data, which is quite challenging in that the signals of discrete tumor-associated microvesicles (TMVs) are randomly distributed with heterogeneous patterns. This imposes a…

机器学习 · 统计学 2019-03-22 Xiwei Tang , Xuan Bi , Annie Qu

We propose a novel computational framework leveraging hypergraph theory to analyse cancer stem cell markers (CSCMs) across multiple organs. Hypergraphs provide a robust representation of CSCM co-expression patterns, capturing their complex…

生物物理 · 物理学 2025-08-01 David H. Margarit , Gustavo Paccosi , Marcela V. Reale , Lilia M. Romanelli

Cancer arises from successive rounds of mutations which generate tumor cells with different genomic variation i.e. clones. For drug responsiveness and therapeutics, it is necessary to identify the clones in tumor sample accurately. Many…

基因组学 · 定量生物学 2015-03-03 Gholamreza Haffari , Zhaoxiang Cai , Mohammad S. Rahman , Ann E. Nicholson

Personalized medicine is the future of medical practice. In oncology, tumor heterogeneity assessment represents a pivotal step for effective treatment planning and prognosis prediction. Despite new procedures for DNA sequencing and…

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…

软凝聚态物质 · 物理学 2022-02-23 Sumit Sinha , Xin Li , Dave Thirumalai

Motivation: As cancer researchers have come to appreciate the importance of intratumor heterogeneity, much attention has focused on the challenges of accurately profiling heterogeneity in individual patients. Experimental technologies for…

基因组学 · 定量生物学 2018-02-07 Theodore Roman , Lu Xie , Russell Schwartz

In anti-cancer drug development, a major scientific challenge is disentangling the complex relationships between high-dimensional genomics data from patient tumor samples, the corresponding tumor's organ of origin, the drug targets…

机器学习 · 计算机科学 2024-03-29 Omid Bazgir , Zichen Wang , Ji Won Park , Marc Hafner , James Lu

Accurate segmentation of breast tumors in magnetic resonance images (MRI) is essential for breast cancer diagnosis, yet existing methods face challenges in capturing irregular tumor shapes and effectively integrating local and global…

图像与视频处理 · 电气工程与系统科学 2025-09-22 Yue Zhang , Jiahua Dong , Chengtao Peng , Qiuli Wang , Dan Song , Guiduo Duan

Tumors are extremely heterogeneous and comprise of a number of intratumor microenvironments or sub-regions. These tumor microenvironments may interact with eac based on complex high-level relationships, which could provide important insight…

定量方法 · 定量生物学 2019-01-29 Vishwa S. Parekh , Michael A. Jacobs

Phenotype variations define heterogeneity of biological and molecular systems, which play a crucial role in several mechanisms. Heterogeneity has been demonstrated in tumor cells. Here, samples from blood of patients affected from colon…

生物物理 · 物理学 2015-11-09 Giuseppina Simone

Cancer pathology is unique to a given individual, and developing personalized diagnostic and treatment protocols are a primary concern. Mathematical modeling and simulation is a promising approach to personalized cancer medicine. Yet, the…

组织与器官 · 定量生物学 2020-08-03 Alvaro Köhn-Luque , Xiaoran Lai , Arnoldo Frigessi

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…

软凝聚态物质 · 物理学 2020-04-03 Xin Li , D. Thirumalai

We present a mathematical model that describes how tumour heterogeneity evolves in a tissue slice that is oxygenated by a single blood vessel. Phenotype is identified with the stemness level of a cell, $s$, that determines its proliferative…

细胞行为 · 定量生物学 2023-11-14 Giulia L. Celora , Helen M. Byrne , P. G. Kevrekidis

The surroundings of a cancerous tumor impact how it grows and develops in humans. New data from early breast cancer patients contains information on the collagen fibers surrounding the tumorous tissue -- offering hope of finding additional…

应用统计 · 统计学 2022-06-30 Sean Kent , Menggang Yu

Cancer radiomics is an emerging discipline promising to elucidate lesion phenotypes and tumor heterogeneity through patterns of enhancement, texture, morphology, and shape. The prevailing technique for image texture analysis relies on the…

应用统计 · 统计学 2020-11-12 Xiao Li , Michele Guindani , Chaan S. Ng , Brian P. Hobbs

Development of resistance limits efficiency of present anticancer therapies and preventing it remains big challenge in cancer research. It is accepted, at intuitive level, that the resistance emerges as a consequence of cancer cells…

定量方法 · 定量生物学 2015-06-02 Branislav Brutovsky , Denis Horvath

Tumor segmentation in multimodal medical images has seen a growing trend towards deep learning based methods. Typically, studies dealing with this topic fuse multimodal image data to improve the tumor segmentation contour for a single…

图像与视频处理 · 电气工程与系统科学 2020-09-25 Theresa Neubauer , Maria Wimmer , Astrid Berg , David Major , Dimitrios Lenis , Thomas Beyer , Jelena Saponjski , Katja Bühler

Imaging demonstrates that preclinical and human tumors are heterogeneous, i.e. a single tumor can exhibit multiple regions that behave differently during both normal development and also in response to treatment. The large variations…

计算机视觉与模式识别 · 计算机科学 2022-09-08 P. D. Tar , N. A. Thacker , J. P. B. O'Connor

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…

生物物理 · 物理学 2023-02-07 Maxim V. Polyakov , Valeria V. Ten
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