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We propose a one mutation model for cancer with a mutation rate that increases with time. Under rather general hypotheses the number of mutations is necessarily a (non homogeneous) Poisson process with the prescribed mutation rate. We show…

Probability · Mathematics 2008-08-19 Rinaldo B. Schinazi

Movement behavior of biological entities plays a crucial role in their destiny through regulating their intraspecific and interspecific interactions as well as their interaction with surrounding environment. In spite of various models for…

Tissues and Organs · Quantitative Biology 2017-11-10 Youness Azimzade

Cancer is a disease that takes millions of lives every year. Then, to propose treatments, avoid recurrence, and improve the patient's life quality, we need to analyze this disease from a biophysical perspective with a solid mathematical…

Quantitative Methods · Quantitative Biology 2024-07-09 Carlos M. Nieto , Oscar M. Pimentel , Fabio D. Lora-Clavijo

Adaptive therapy is a dynamic cancer treatment protocol that updates (or "adapts") treatment decisions in anticipation of evolving tumor dynamics. This broad term encompasses many possible dynamic treatment protocols of patient-specific…

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…

Biological Physics · Physics 2015-11-09 Giuseppina Simone

Motivation: Human cancer is caused by the accumulation of somatic mutations in tumor suppressors and oncogenes within the genome. In the case of oncogenes, recent theory suggests that there are only a few key "driver" mutations responsible…

Genomics · Quantitative Biology 2013-07-16 Gregory Ryslik , Yuwei Cheng , Kei-Hoi Cheung , Yorgo Modis , Hongyu Zhao

Background: A fundamental problem in cancer research is identifying the cell type that is capable of sustaining neoplastic growth and its origin from normal tissue cells. Recent investigations of a variety of tumor types have shown that…

Cancer is a heterogeneous disease with different combinations of genetic and epigenetic alterations driving the development of cancer in different individuals. While these alterations are believed to converge on genes in key cellular…

Quantitative Methods · Quantitative Biology 2015-03-31 Mark D. M. Leiserson , Hsin-Ta Wu , Fabio Vandin , Benjamin J. Raphael

Antibodies, an essential part of our immune system, develop through an intricate process to bind a wide array of pathogens. This process involves randomly mutating DNA sequences encoding these antibodies to find variants with improved…

Populations and Evolution · Quantitative Biology 2018-09-24 Jean Feng , David A. Shaw , Vladimir N. Minin , Noah Simon , Frederick A. Matsen

We have extended our previously developed 3D multi-scale agent-based brain tumor model to simulate cancer heterogeneity and to analyze its impact across the scales of interest. While our algorithm continues to employ an epidermal growth…

Tissues and Organs · Quantitative Biology 2010-03-23 Le Zhang , Costas G. Strouthos , Zhihui Wang , Thomas S. Deisboeck

Much progress has been made, and continues to be made, towards identifying candidate mutated driver pathways in cancer. However, no systematic approach to understanding how candidate pathways relate to each other for a given cancer (such as…

Quantitative Methods · Quantitative Biology 2019-12-03 Raouf Dridi , Hedayat Alghassi , Maen Obeidat , Sridhar Tayur

Tumors constitute a wide family of diseases kinetically characterized by the co-presence of multiple spatio-temporal scales. So, tumor cells ecologically interplay with other kind of cells, e.g. endothelial cells or immune system effectors,…

Computational Engineering, Finance, and Science · Computer Science 2012-08-21 Giulio Caravagna , Alex Graudenzi , Marco Antoniotti , Giancarlo Mauri , Alberto d'Onofrio

Invasiveness, one of the hallmarks of tumor progression, represents the tumor's ability to expand into the host tissue by means of several complex biochemical and biomechanical processes. Since certain aspects of the problem present a…

Biological Physics · Physics 2009-11-13 Caterina Guiot , Nicola Pugno , Pier Paolo Delsanto , Thomas S. Deisboeck

One of the key characteristics of cancer cells is an increased phenotypic plasticity, driven by underlying genetic and epigenetic perturbations. However, at a systems-level it is unclear how these perturbations give rise to the observed…

Molecular Networks · Quantitative Biology 2015-04-30 Andrew E. Teschendorff , Christopher R. S. Banerji , Simone Severini , Reimer Kuehn , Peter Sollich

It is a well-established fact that tumors up-regulate glucose consumption to meet increasing demands for rapidly available energy by switching to purely glycolytic mode of glucose metabolism. What is often neglected is that cytotoxic cells…

Tissues and Organs · Quantitative Biology 2014-07-31 Irina Kareva

Computer-aided tumor detection has shown great potential in enhancing the interpretation of over 80 million CT scans performed annually in the United States. However, challenges arise due to the rarity of CT scans with tumors, especially…

Image and Video Processing · Electrical Eng. & Systems 2024-09-11 Qi Chen , Yuxiang Lai , Xiaoxi Chen , Qixin Hu , Alan Yuille , Zongwei Zhou

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

Since the discovery of a cancer initiating side population in solid tumours, studies focussing on the role of so-called cancer stem cells in cancer initiation and progression have abounded. The biological interrogation of these cells has…

Tissues and Organs · Quantitative Biology 2013-08-22 Jacob G. Scott , Prakash Chinnaiyan , Alexander R. A. Anderson , Anita Hjelmeland , David Basanta

Oncolytic virotherapy is an experimental cancer treatment that uses genetically engineered viruses to target and kill cancer cells. One major limitation of this treatment is that virus particles are rapidly cleared by the immune system,…

Cell Behavior · Quantitative Biology 2019-12-02 Adrianne L. Jenner , Chae-Ok Yun , Peter S. Kim , Adelle C. F. Coster

Recently, there has been a resurgence of interest in rigorous algorithms for the inference of cancer progression from genomic data. The motivations are manifold: (i) growing NGS and single cell data from cancer patients, (ii) need for novel…

Machine Learning · Computer Science 2016-02-25 Daniele Ramazzotti