The 2019 mathematical oncology roadmap
Whether the nom de guerre is Mathematical Oncology, Computational or Systems Biology,
Theoretical Biology, Evolutionary Oncology, Bioinformatics, or simply Basic Science, there is …
Theoretical Biology, Evolutionary Oncology, Bioinformatics, or simply Basic Science, there is …
Multiscale cancer modeling
Simulating cancer behavior across multiple biological scales in space and time, ie,
multiscale cancer modeling, is increasingly being recognized as a powerful tool to refine …
multiscale cancer modeling, is increasingly being recognized as a powerful tool to refine …
[LIBRO][B] The mathematics and mechanics of biological growth
A Goriely - 2017 - books.google.com
This monograph presents a general mathematical theory for biological growth. It provides
both a conceptual and a technical foundation for the understanding and analysis of …
both a conceptual and a technical foundation for the understanding and analysis of …
Classical mathematical models for description and prediction of experimental tumor growth
Despite internal complexity, tumor growth kinetics follow relatively simple laws that can be
expressed as mathematical models. To explore this further, quantitative analysis of the most …
expressed as mathematical models. To explore this further, quantitative analysis of the most …
Mathematical models of cancer: when to predict novel therapies, and when not to
The number of publications on mathematical modeling of cancer is growing at an
exponential rate, according to PubMed records, provided by the US National Library of …
exponential rate, according to PubMed records, provided by the US National Library of …
Nonlinear modelling of cancer: bridging the gap between cells and tumours
Despite major scientific, medical and technological advances over the last few decades, a
cure for cancer remains elusive. The disease initiation is complex, and including initiation …
cure for cancer remains elusive. The disease initiation is complex, and including initiation …
Tumor morphology and phenotypic evolution driven by selective pressure from the microenvironment
Emergence of invasive behavior in cancer is life-threatening, yet ill-defined due to its
multifactorial nature. We present a multiscale mathematical model of cancer invasion, which …
multifactorial nature. We present a multiscale mathematical model of cancer invasion, which …
Interactions between the immune system and cancer: a brief review of non-spatial mathematical models
We briefly review spatially homogeneous mechanistic mathematical models describing the
interactions between a malignant tumor and the immune system. We begin with the simplest …
interactions between a malignant tumor and the immune system. We begin with the simplest …
Dissecting cancer through mathematics: from the cell to the animal model
HM Byrne - Nature Reviews Cancer, 2010 - nature.com
This Timeline article charts progress in mathematical modelling of cancer over the past 50
years, highlighting the different theoretical approaches that have been used to dissect the …
years, highlighting the different theoretical approaches that have been used to dissect the …
Mathematical models of avascular tumor growth
This review will outline a number of illustrative mathematical models describing the growth
of avascular tumors. The aim of the review is to provide a relatively comprehensive list of …
of avascular tumors. The aim of the review is to provide a relatively comprehensive list of …