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Cancer stem cells have been shown to be critical to the development of a variety of solid cancers. The precise interplay mechanisms between cancer stem cells and the rest of a tissue are still not elucidated. To shed light on the…

Cell Behavior · Quantitative Biology 2019-09-04 L. Benítez , L. Barberis , C. A. Condat

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

We present an algorithm for multi-scale tumor (chimeric cell) detection in high resolution slide scans. The broad range of tumor sizes in our dataset pose a challenge for current Convolutional Neural Networks (CNN) which often fail when…

Computer Vision and Pattern Recognition · Computer Science 2021-04-27 Qingchao Zhang , Coy D. Heldermon , Corey Toler-Franklin

The objectives of this "perspective" paper are to review some recent advances in sparse feature selection for regression and classification, as well as compressed sensing, and to discuss how these might be used to develop tools to advance…

Quantitative Methods · Quantitative Biology 2015-06-18 Mathukumalli Vidyasagar

Modeling of brain tumor dynamics has the potential to advance therapeutic planning. Current modeling approaches resort to numerical solvers that simulate the tumor progression according to a given differential equation. Using…

Computational Engineering, Finance, and Science · Computer Science 2021-04-16 Ivan Ezhov , Tudor Mot , Suprosanna Shit , Jana Lipkova , Johannes C. Paetzold , Florian Kofler , Fernando Navarro , Chantal Pellegrini , Marcel Kollovieh , Marie Metz , Benedikt Wiestler , Bjoern Menze

Accurately visualizing and editing tumor progression in medical imaging is crucial for diagnosis, treatment planning, and clinical communication. To address the challenges of subjectivity and limited precision in existing methods, we…

Image and Video Processing · Electrical Eng. & Systems 2025-03-11 Gexin Huang , Ruinan Jin , Yucheng Tang , Can Zhao , Tatsuya Harada , Xiaoxiao Li , Gu Lin

Tumor spheroids are in vitro three-dimensional, cellular collectives consisting of cancerous cells. Embedding these spheroids in an in vitro fibrous environment, such as a collagen network, to mimic the extracellular matrix (ECM) provides…

An endogenous molecular-cellular network for both normal and abnormal functions is assumed to exist. This endogenous network forms a nonlinear stochastic dynamical system, with many stable attractors in its functional landscape. Normal or…

Subcellular Processes · Quantitative Biology 2007-09-06 P. Ao , D. Galas , L. Hood , X. -M. Zhu

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

Computational models provide crucial insights into complex biological processes such as cancer evolution, but their mechanistic nature often makes them nonlinear and parameter-rich, complicating calibration. We systematically evaluate…

Analysis of PDEs · Mathematics 2025-09-24 Christina Schenk , Jacobo Ayensa Jiménez , Ignacio Romero

Any process in which competing solutions replicate with errors and numbers of their copies depend on their respective fitnesses is the evolutionary optimization process. As during carcinogenesis mutated genomes replicate according to their…

Populations and Evolution · Quantitative Biology 2009-12-15 B. Brutovsky , D. Horvath

We consider a one--spatial dimensional tumour growth model [2, 3, 4] that consists of three dependent variables of space and time: volume fraction of tumour cells, velocity of tumour cells, and nutrient concentration. The model variables…

Numerical Analysis · Mathematics 2020-07-01 Jerome Droniou , Neela Nataraj , Gopikrishnan Chirappurathu Remesan

In this paper, we studied phase-space analysis of a certain mathematical model of tumor growth with an immune responses and chemotherapy therapy. Mathematical modelling of this process is viewed as a potentially powerful tool in the…

Dynamical Systems · Mathematics 2018-03-15 Veli Shakhmurov , Akif Maharramov , Bunyad Shahmurzada

In this paper we analyse a previously proposed cell-based model of glioblastoma (brain tumour) growth, which is based on the assumption that the cancer cells switch phenotypes between a proliferative and motile state (Gerlee and Nelander,…

Tissues and Organs · Quantitative Biology 2017-02-20 Philip Gerlee , Sven Nelander

Morphological instabilities of growing tissues that impinge on passive materials are typical of invasive cancers. To explain these instabilities in experiments on breast epithelial spheroids in an extracellular matrix, we develop a…

Soft Condensed Matter · Physics 2026-02-12 Sumit Sinha , Haiqian Yang , L Mahadevan

The majority of cancer treatments end in failure due to Intra-Tumor Heterogeneity (ITH). ITH in cancer is represented by clonal evolution where different sub-clones compete with each other for resources under conditions of Darwinian natural…

We report on a simple model of spatial extend anti-tumor system with a fluctuation in growth rate, which can undergo a nonequilibrium phase transition. Three states as excited, sub-excited and non-excited states of a tumor are defined to…

Biological Physics · Physics 2009-11-11 Wei-Rong Zhong , Yuan-Zhi Shao , Zhen-Hui He

The multicellular organization of diverse systems, such as embryos, intestines and tumours, relies on the coordinated migration of cells in 3D curved environments. In these settings, cells establish supracellular patterns of motion,…

Biological Physics · Physics 2021-10-28 Tom Brandstätter , David B. Brückner , Yu Long Han , Ricard Alert , Ming Guo , Chase P. Broedersz

Tumor invasion, the process by which tumor cells break away from their primary tumor and gain access to vascular systems, is an important step in cancer metastasis. Most current 3D tumor invasion assays consisted of single tumor cells…

Cell Behavior · Quantitative Biology 2020-02-11 Yu Ling Huang , Carina Shiau , Cindy Wu , Jeffrey E. Segall , Mingming Wu

The transition from the epithelial to mesenchymal phenotype and its reverse (from mesenchymal to epithelial) are crucial processes necessary for the progression and spread of cancer. In this paper, we investigate how phenotypic switching at…

Tissues and Organs · Quantitative Biology 2023-05-25 Zuzanna Szymańska , Mirosław Lachowicz , Nikolaos Sfakianakis , Mark A. J. Chaplain