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The mathematics of cancer: integrating quantitative models
Mathematical modelling approaches have become increasingly abundant in cancer
research. The complexity of cancer is well suited to quantitative approaches as it provides …
research. The complexity of cancer is well suited to quantitative approaches as it provides …
RNA interference in the clinic: challenges and future directions
Inherent difficulties with blocking many desirable targets using conventional approaches
have prompted many to consider using RNA interference (RNAi) as a therapeutic approach …
have prompted many to consider using RNA interference (RNAi) as a therapeutic approach …
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 …
Three-dimensional multispecies nonlinear tumor growth—I: model and numerical method
This is the first paper in a two-part series in which we develop, analyze, and simulate a
diffuse interface continuum model of multispecies tumor growth and tumor-induced …
diffuse interface continuum model of multispecies tumor growth and tumor-induced …
Computational oncology—mathematical modelling of drug regimens for precision medicine
Computational oncology is a generic term that encompasses any form of computer-based
modelling relating to tumour biology and cancer therapy. Mathematical modelling can be …
modelling relating to tumour biology and cancer therapy. Mathematical modelling can be …
[کتاب][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 …
Multiscale modelling and nonlinear simulation of vascular tumour growth
In this article, we present a new multiscale mathematical model for solid tumour growth
which couples an improved model of tumour invasion with a model of tumour-induced …
which couples an improved model of tumour invasion with a model of tumour-induced …
Frontiers in cancer nanomedicine: directing mass transport through biological barriers
M Ferrari - Trends in biotechnology, 2010 - cell.com
The physics of mass transport within body compartments and across biological barriers
differentiates cancers from healthy tissues. Variants of nanoparticles can be manufactured in …
differentiates cancers from healthy tissues. Variants of nanoparticles can be manufactured in …
Three-dimensional multispecies nonlinear tumor growth—II: tumor invasion and angiogenesis
We extend the diffuse interface model developed in Wise et al.(2008) to study nonlinear
tumor growth in 3-D. Extensions include the tracking of multiple viable cell species …
tumor growth in 3-D. Extensions include the tracking of multiple viable cell species …
Computer simulation of glioma growth and morphology
Despite major advances in the study of glioma, the quantitative links between intra-tumor
molecular/cellular properties, clinically observable properties such as morphology, and …
molecular/cellular properties, clinically observable properties such as morphology, and …