Classical mathematical models for description and prediction of experimental tumor growth
S Benzekry, C Lamont, A Beheshti… - PLoS computational …, 2014 - journals.plos.org
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 …
Computational models and simulations of cancer metastasis
S Anvari, S Nambiar, J Pang, N Maftoon - Archives of Computational …, 2021 - Springer
The dawn of the new era in precise diagnostic devices and personalized cancer treatment is
intertwined with computational models capable of integrating biochemical factors and …
intertwined with computational models capable of integrating biochemical factors and …
[图书][B] Multiscale modeling of cancer: an integrated experimental and mathematical modeling approach
V Cristini, J Lowengrub - 2010 - books.google.com
Mathematical modeling, analysis and simulation are set to play crucial roles in explaining
tumor behavior, and the uncontrolled growth of cancer cells over multiple time and spatial …
tumor behavior, and the uncontrolled growth of cancer cells over multiple time and spatial …
Phenotype structuring in collective cell migration: a tutorial of mathematical models and methods
Populations are heterogeneous, deviating in numerous ways. Phenotypic diversity refers to
the range of traits or characteristics across a population, where for cells this could be the …
the range of traits or characteristics across a population, where for cells this could be the …
Computational modeling of 3D tumor growth and angiogenesis for chemotherapy evaluation
Solid tumors develop abnormally at spatial and temporal scales, giving rise to biophysical
barriers that impact anti-tumor chemotherapy. This may increase the expenditure and time …
barriers that impact anti-tumor chemotherapy. This may increase the expenditure and time …
Free boundary limit of a tumor growth model with nutrient
N David, B Perthame - Journal de Mathématiques Pures et Appliquées, 2021 - Elsevier
Both compressible and incompressible porous medium models are used in the literature to
describe the mechanical properties of living tissues. These two classes of models can be …
describe the mechanical properties of living tissues. These two classes of models can be …
PI-LSTM: Physics-infused long short-term memory network
We introduce a novel machine learning-based fusion model termed as PI-LSTM (Physics-
Infused Long Short-Term Memory Networks) that integrates first principle Physics-Based …
Infused Long Short-Term Memory Networks) that integrates first principle Physics-Based …
A fully-decoupled discontinuous Galerkin approximation of the Cahn–Hilliard–Brinkman–Ohta–Kawasaki tumor growth model
In this article, we consider the Cahn–Hilliard–Brinkman–Ohta–Kawasaki tumor growth
system, which couples the Brinkman flow equations in the porous medium and the Cahn …
system, which couples the Brinkman flow equations in the porous medium and the Cahn …
A pharmacologically based multiscale mathematical model of angiogenesis and its use in investigating the efficacy of a new cancer treatment strategy
F Billy, B Ribba, O Saut, H Morre-Trouilhet… - Journal of theoretical …, 2009 - Elsevier
Tumor angiogenesis is the process by which new blood vessels are formed and enhance
the oxygenation and growth of tumors. As angiogenesis is recognized as being a critical …
the oxygenation and growth of tumors. As angiogenesis is recognized as being a critical …
On a multi-species Cahn-Hilliard-Darcy tumor growth model with singular potentials
We consider a model describing the evolution of a tumor inside a host tissue in terms of the
parameters $\varphi_p $, $\varphi_d $(proliferating and dead cells, respectively), $ u $(cell …
parameters $\varphi_p $, $\varphi_d $(proliferating and dead cells, respectively), $ u $(cell …