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Tumor shape is a key factor that affects tumor growth and metastasis. This paper proposes a topological feature computed by persistent homology to characterize tumor progression from digital pathology and radiology images and examines its…

Computer Vision and Pattern Recognition · Computer Science 2023-03-01 Chul Moon , Qiwei Li , Guanghua Xiao

Identifying the genes and mutations that drive the emergence of tumors is a major step to improve understanding of cancer and identify new directions for disease diagnosis and treatment. Despite the large volume of genomics data, the…

Machine Learning · Computer Science 2022-04-05 Renan Andrades , Mariana Recamonde-Mendoza

In this work, we investigate the population dynamics of tumor cells under therapeutic pressure. Although drug treatment initially induces a reduction in tumor burden, treatment failure frequently occurs over time due to the emergence of…

Probability · Mathematics 2025-10-02 Kevin Leder , Zicheng Wang , Xuanming Zhang

Bacterial populations often have complex spatial structures, which can impact their evolution. Here, we study how spatial structure affects the evolution of antibiotic resistance in a bacterial population. We consider a minimal model of…

Populations and Evolution · Quantitative Biology 2024-12-23 Cecilia Fruet , Ella Linxia Müller , Claude Loverdo , Anne-Florence Bitbol

Mechanical interactions among cells in a growing microbial colony can significantly influence the colony's spatial genetic structure and, thus, evolutionary outcomes such as the fates of rare mutations. Here, we computationally investigate…

Soft Condensed Matter · Physics 2025-01-22 Mateusz Ratman , Jimmy Gonzalez Nuñez , Daniel A. Beller

The self-organization of cells into complex tissues relies on a tight coordination of cell behavior. Identifying the cellular processes driving tissue growth is key to understanding the emergence of tissue forms and devising targeted…

Quantitative Methods · Quantitative Biology 2024-03-27 Ruslan Mukhamadiarov , Matteo Ciarchi , Fabrizio Olmeda , Steffen Rulands

Recent studies at individual cell resolution have revealed phenotypic heterogeneity in nominally clonal tumor cell populations. The heterogeneity affects cell growth behaviors, which can result in departure from the idealized uniform…

Populations and Evolution · Quantitative Biology 2023-10-20 Yue Wang , Joseph X. Zhou , Edoardo Pedrini , Irit Rubin , May Khalil , Roberto Taramelli , Hong Qian , Sui Huang

In this paper we present a study of local dynamics of the growth of cancer tumor and healthy cells considering the presence of nutrients in the system. We also analyze the evolution of system if we take indirectly into account the level of…

Biological Physics · Physics 2019-01-29 Cristian C. Pérez Águila , Maura Cárdenas G. , J. Fernando Rojas

We study growth of solid tumors in a partial differential equation model introduced by Hillen et al for the interaction between tumor cells (TCs) and cancer stem cells (CSCs). We find that invasion into the cancer-free state may be…

Analysis of PDEs · Mathematics 2023-10-27 Montie Avery

Objectives: In this study, we quantify the growth variability of tumour cell clones from a human leukemia cell line. Materials and methods: We have used microplate spectrophotometry to measure the growth kinetics of hundreds of individual…

Cell Behavior · Quantitative Biology 2007-05-23 C. Tomelleri , E. Milotti , C. Dalla Pellegrina , O. Perbellini , A. Del Fabbro , M. T. Scupoli , R. Chignola

Drug resistance and metastasis - the major complications in cancer - both entail adaptation of cancer cells to stress, whether a drug or a lethal new environment. Intriguingly, these adaptive processes share similar features that cannot be…

Molecular Networks · Quantitative Biology 2021-09-28 Aseel Shomar , Omri Barak , Naama Brenner

Cancer cells can be described as an invasive species that is able to establish itself in a new environment. The concept of niche construction can be utilized to describe the process by which cancer cells terraform their environment, thereby…

Tissues and Organs · Quantitative Biology 2014-03-31 Kimberline R. Yang , Steven Mooney , Jelani C. Zarif , Donald S. Coffey , Russell S. Taichman , Kenneth J. Pienta

Tumour progression has been described as a sequence of traits or phenotypes that cells have to acquire if the neoplasm is to become an invasive and malignant cancer. Although the genetic mutations that lead to these phenotypes are random,…

Tissues and Organs · Quantitative Biology 2008-10-28 David Basanta , Matthias Simon , Haralambos Hatzikirou , Andreas Deutsch

Cellular renewing active matter - assemblies of proliferating and apoptotic cells - underlies tissue homeostasis, morphogenesis, and clonal competition. Previous work in one-dimensional periodic systems identified a fitness advantage…

Soft Condensed Matter · Physics 2025-12-02 Patrick Zimmer , Philip Bittihn , Yoav G. Pollack

Examination of T-cell receptor (TCR) clonality has become a way of understanding immunologic response to cancer and its interventions in recent years. An aspect of these analyses is determining which receptors expand or contract…

Quantitative Methods · Quantitative Biology 2026-01-09 David Swanson , Alexander Sherry , Cara Haymaker , Alexandre Reuben , Chad Tang

Unstable dynamics characterizes the evolution of most solid tumors. Because of an increased failure of maintaining genome integrity, a cumulative increase in the levels of gene mutation and loss is observed. Previous work suggests that…

Biological Physics · Physics 2015-06-18 Daniel R. Amor , Ricard V. Solé

Medical imaging is a critical initial tool used by clinicians to determine a patient's cancer diagnosis, allowing for faster intervention and more reliable patient prognosis. At subsequent stages of patient diagnosis, genetic information is…

Computer Vision and Pattern Recognition · Computer Science 2025-12-03 Rahul Mehta

Hematopoietic stem cells in mammals are known to reside mostly in the bone marrow, but also transitively passage in small numbers in the blood. Experimental findings have suggested that they exist in a dynamic equilibrium, continuously…

Populations and Evolution · Quantitative Biology 2017-10-12 Peter Ashcroft , Markus G. Manz , Sebastian Bonhoeffer

Recent experimental evidence suggests that acute myeloid leukemias may originate from multiple clones of malignant cells. Nevertheless it is not known how the observed clones may differ with respect to cell properties such as proliferation…

Tissues and Organs · Quantitative Biology 2014-10-07 Thomas Stiehl , Natalia Baran , Anthony D. Ho , Anna Marciniak-Czochra

Using our previously developed model we demonstrate here, that (1) solid tumor growth and cell invasion are linked, not only qualitatively but also quantitatively, that (2) the onset of invasion marks the time point when the tumor cell…