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In this paper, we compared cancerous and normal cell according to their protein-protein interaction network. Cancer is one of the complicated diseases and experimental investigations have been showed that protein interactions have an…

Molecular Networks · Quantitative Biology 2019-03-19 Hossein A. Rahmani , AliReza Khanteymoori , Mohammad Olyaee

Electroporation is increasingly used as a percutaneous ablation technique for tumours located near vital structures. Although effective, tumour regrowth may still occur. At the same time, in vitro studies on cell monolayers have shown that…

Quantitative Methods · Quantitative Biology 2026-03-09 Emma Leschiera , Nicolas Mattei , Marie-Pierre Rols , Muriel Golzio , Jelena Kolosnjaj-Tabi , Clair Poignard

Purpose: Tumor-associated vasculature differs from healthy blood vessels by its chaotic architecture and twistedness, which promotes treatment resistance. Measurable differences in these attributes may help stratify patients by likely…

Tumours are made up of a mixed population of different types of cells that include normal struc- tures as well as ones associated with the malignancy, and there are multiple interactions between the malignant cells and the local…

Populations and Evolution · Quantitative Biology 2013-01-18 David Basanta , Jacob G Scott , Mayer N Fishman , Gustavo E Ayala , Simon W Hayward , Alexander RA Anderson

We investigate the long-time dynamics and optimal control problem of a diffuse interface model that describes the growth of a tumor in presence of a nutrient and surrounded by host tissues. The state system consists of a Cahn-Hilliard type…

Analysis of PDEs · Mathematics 2023-07-28 Cecilia Cavaterra , Elisabetta Rocca , Hao Wu

In order to fulfill cell proliferation and differentiation through cellular hierarchy, stem cells can undergo either asymmetric or symmetric divisions. Recent studies pay special attention to the effect of different modes of stem cell…

Populations and Evolution · Quantitative Biology 2020-10-08 Zhijie Wu , Yuman Wang , Kun Wang , Da Zhou

We employ uncertain parametric CTMCs with parametric transition rates and a prior on the parameter values. The prior encodes uncertainty about the actual transition rates, while the parameters allow dependencies between transition rates.…

Logic in Computer Science · Computer Science 2022-12-08 Thom S. Badings , Nils Jansen , Sebastian Junges , Marielle Stoelinga , Matthias Volk

We once proposed that cell-type-associated chromatin configurations determine cell types and that cancer cell type is determined by cancer-associated chromatin configuration (CACC). In this paper, we hypothesize that flexible…

Subcellular Processes · Quantitative Biology 2019-07-01 Gao-De Li

In this review, we discuss recent advances on the plasticity of cancer stem cells and highlight their relevance to understand the metastatic process and to guide therapeutic interventions. Recent results suggest that the strict hierarchical…

Populations and Evolution · Quantitative Biology 2017-05-16 Caterina A. M. La Porta , Stefano Zapperi

Immunotherapies have been proven to have significant therapeutic efficacy in the treatment of cancer. The last decade has seen adoptive cell therapies, such as chimeric antigen receptor T-cell (CART-cell) therapy, gain FDA approval against…

Molecular Networks · Quantitative Biology 2023-02-10 Viren Shah , Justin Womack , Anthony E. Zamora , Scott S. Terhune , Ranjan K. Dash

Cancer, as the uncontrollable cell growth, is related to many branches of biology. In this review, we will discuss three mathematical approaches for studying cancer biology: population dynamics, gene regulation, and developmental biology.…

Other Quantitative Biology · Quantitative Biology 2023-01-27 Yue Wang

Populations can evolve in order to adapt to external changes. The capacity to evolve and adapt makes successful treatment of infectious diseases and cancer difficult. Indeed, therapy resistance has quickly become a key challenge for global…

Populations and Evolution · Quantitative Biology 2015-06-22 Andrej Fischer , Ignacio Vazquez-Garcia , Ville Mustonen

Tumor proliferation is an important biomarker indicative of the prognosis of breast cancer patients. Assessment of tumor proliferation in a clinical setting is highly subjective and labor-intensive task. Previous efforts to automate tumor…

Understanding cancer cell differentiation is essential for advancing its detection, diagnosis, and treatment. Mathematical models significantly contribute to this by providing a theoretical framework to understand the complex interactions…

Tissues and Organs · Quantitative Biology 2025-08-18 Marcela V. Reale , Gustavo Paccosi , David H. Margarit , Lilia Romanelli

Five-year cancer survival rates are widely reported and often interpreted to mean that early detection saves lives, that a late fatal diagnosis would have been prevented by earlier detection, and that increasing survival over time proves…

Methodology · Statistics 2026-03-23 Allen B. Downey

Tumor recurrence, driven by the evolution of drug resistance is a major barrier to therapeutic success in cancer. Resistance is often caused by genetic alterations such as point mutation, which refers to the modification of a single genomic…

Populations and Evolution · Quantitative Biology 2023-08-23 Aaron Li , Danika Kibby , Jasmine Foo

When confronted with an undesired cell population, such as bacterial infections or tumors, we seek the most effective treatment, designed to eliminate the population as rapidly as possible. A common practice is to monitor the cells…

Biological Physics · Physics 2025-01-23 Uzi Harush , Ravid Straussman , Baruch Barzel

Mathematical models (MMs) are a powerful tool to help us understand and predict the dynamics of tumour growth under various conditions. In this work, we use 5 MMs with an increasing number of parameters to explore how certain (often…

Quantitative Methods · Quantitative Biology 2024-08-16 Jamie Porthiyas , Daniel Nussey , Catherine A. A. Beauchemin , Donald C. Warren , Christian Quirouette , Kathleen P. Wilkie

We propose a method to accurately obtain the ratio of tumor cells over an entire histological slide. We use deep fully convolutional neural network models trained to detect and classify cells on images of H&E-stained tissue sections.…

Image and Video Processing · Electrical Eng. & Systems 2021-01-29 Eric Cosatto , Kyle Gerard , Hans-Peter Graf , Maki Ogura , Tomoharu Kiyuna , Kanako C. Hatanaka , Yoshihiro Matsuno , Yutaka Hatanaka