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Related papers: Cancer Progression as a Learning Process

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In this survey article, a variety of systems modeling tumor growth are discussed. In accordance with the hallmarks of cancer, the described models incorporate the primary characteristics of cancer evolution. Specifically, we focus on…

Dynamical Systems · Mathematics 2023-03-21 Marvin Fritz

Understanding the rules underlying organismal development is a major unsolved problem in biology. Each cell in a developing organism responds to signals in its local environment by dividing, excreting, consuming, or reorganizing, yet how…

Cell Behavior · Quantitative Biology 2025-08-20 Ramya Deshpande , Francesco Mottes , Ariana-Dalia Vlad , Michael P. Brenner , Alma dal Co

In the end of the second decade of 20th century, Warburg showed how cancer cells present a fermentative respiration process, related to a metabolic injury. Here, we develop an analysis of the cell process based on its heat outflow, in order…

Cell Behavior · Quantitative Biology 2021-07-27 Umberto Lucia , Giulia Grisolia

We present a mathematical model of the evolutionary dynamics of a metastatic tumour under chemotherapy, comprising non-local partial differential equations for the phenotype-structured cell populations in the primary tumour and its…

Cell Behavior · Quantitative Biology 2024-06-21 Federica Padovano , Chiara Villa

In this thesis we develop minimal models of the relationship between motility, growth, and evolution of cancer cells. We utilise simple simulations of a population of individual cells in space to examine how changes in mechanical properties…

Populations and Evolution · Quantitative Biology 2020-05-20 Chay Paterson

Cancer progression is an example of a rapid adaptive process where evolving new traits is essential for survival and requires a high mutation rate. Precancerous cells acquire a few key mutations that drive rapid population growth and…

Populations and Evolution · Quantitative Biology 2015-06-18 Christopher McFarland , Leonid Mirny , Kirill S. Korolev

Acquired resistance is one of the major barriers to successful cancer therapy. The development of resistance is commonly attributed to genetic heterogeneity. However, heterogeneity of drug penetration of the tumor microenvironment both on…

Populations and Evolution · Quantitative Biology 2015-08-19 Feng Fu , Martin A. Nowak , Sebastian Bonhoeffer

Genomic alterations lead to cancer complexity and form a major hurdle for a comprehensive understanding of the molecular mechanisms underlying oncogenesis. In this review, we describe the recent advances in studying cancer-associated genes…

Molecular Networks · Quantitative Biology 2007-12-24 Edwin Wang , Anne Lenferink , Maureen O'Connor-McCourt

We propose an extension of a standard stochastic individual-based model in population dynamics which broadens the range of biological applications. Our primary motivation is modelling of immunotherapy of malignant tumours. In this context…

Populations and Evolution · Quantitative Biology 2016-04-18 Martina Baar , Loren Coquille , Hannah Mayer , Michael Hölzel , Meri Rogava , Thomas Tüting , Anton Bovier

Predictive modeling of the evolutionary dynamics of cancer is a challenge issue in computational cancer biology. In this paper, we propose a general mathematical model framework for the evolutionary dynamics of cancer with plasticity and…

Cell Behavior · Quantitative Biology 2020-01-10 Jinzhi Lei

The large scale behaviour of a population of cells that grow and interact through the concentration field of the chemicals they secrete is studied using dynamical renormalization group methods. The combination of the effective long-range…

Cell Behavior · Quantitative Biology 2015-01-19 Anatolij Gelimson , Ramin Golestanian

Metastasis is a process of cell migration that can be collective and guided by chemical cues. Viewing metastasis in this way, as a physical phenomenon, allows one to draw upon insights from other studies of collective sensing and migration…

Biological Physics · Physics 2016-03-10 Julien Varennes , Andrew Mugler

Deep learning based analysis of histopathology images shows promise in advancing the understanding of tumor progression, tumor micro-environment, and their underpinning biological processes. So far, these approaches have focused on…

Image and Video Processing · Electrical Eng. & Systems 2021-08-29 Adalberto Claudio Quiros , Nicolas Coudray , Anna Yeaton , Wisuwat Sunhem , Roderick Murray-Smith , Aristotelis Tsirigos , Ke Yuan

Cancer progression and monotonic accumulation models were developed to discover dependencies in the irreversible acquisition of binary traits from cross-sectional data. They have been used in computational oncology and virology but also in…

Populations and Evolution · Quantitative Biology 2025-05-12 Ramon Diaz-Uriarte , Iain G. Johnston

The cellular phenotype is described by a complex network of molecular interactions. Elucidating network properties that distinguish disease from the healthy cellular state is therefore of critical importance for gaining systems-level…

Molecular Networks · Quantitative Biology 2012-11-22 James West , Ginestra Bianconi , Simone Severini , Andrew Teschendorff

Investigating the emergence of a particular cell type is a recurring theme in models of growing cellular populations. The evolution of resistance to therapy is a classic example. Common questions are: when does the cell type first occur,…

Populations and Evolution · Quantitative Biology 2019-06-19 Michael D. Nicholson , Tibor Antal

In this paper we propose an ecological resilience point of view on cancer. This view is based on the analysis of a simple ODE model for the interactions between cancer and normal cells. The model presents two regimes for tumor growth. In…

Populations and Evolution · Quantitative Biology 2016-09-01 Artur C. Fassoni , Hyun M. Yang

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

A mathematical model for time development of metastases and their distribution in size and carrying capacity is presented. The model is used to theoretically investigate anti-cancer therapies such as surgery and chemical treatments…

Tissues and Organs · Quantitative Biology 2013-06-21 Sebastien Benzekry , Dominique Barbolosi , Assia Benabdallah , Florence Hubert , Philip Hahnfeldt

Heterogeneity within tumour cell populations is associated with an increase in malignancy and appears to play an important role during cancer metastasis. Using in silico experiments, we study the interplay between collective behaviours and…

Tissues and Organs · Quantitative Biology 2015-01-05 Adrien Hallou , Joel Jennings , Alexandre Kabla