Mathematical modeling of tumor growth and treatment
H Enderling, M AJ Chaplain - Current pharmaceutical design, 2014 - ingentaconnect.com
Using mathematical models to simulate dynamic biological processes has a long history.
Over the past couple of decades or so, quantitative approaches have also made their way …
Over the past couple of decades or so, quantitative approaches have also made their way …
Stretched cell cycle model for proliferating lymphocytes
Stochastic variation in cell cycle time is a consistent feature of otherwise similar cells within a
growing population. Classic studies concluded that the bulk of the variation occurs in the G1 …
growing population. Classic studies concluded that the bulk of the variation occurs in the G1 …
A hybrid ten-species phase-field model of tumor growth
The development of predictive computational models of tumor initiation, growth, and decline
is faced with many formidable challenges. Phenomenological models which attempt to …
is faced with many formidable challenges. Phenomenological models which attempt to …
Evolutionary game theory for physical and biological scientists. II. Population dynamics equations can be associated with interpretations
D Liao, TD Tlsty - Interface focus, 2014 - royalsocietypublishing.org
The use of mathematical equations to analyse population dynamics measurements is being
increasingly applied to elucidate complex dynamic processes in biological systems …
increasingly applied to elucidate complex dynamic processes in biological systems …
Identifying a highly-aggressive DCIS subgroup by studying intra-individual DCIS heterogeneity among invasive breast cancer patients
D Pape-Zambito, Z Jiang, H Wu, K Devarajan… - PloS one, 2014 - journals.plos.org
The heterogeneity among multiple ductal carcinoma in situ (DCIS) lesions within the same
patient also diagnosed with invasive ductal carcinoma (IDC) has not been well evaluated …
patient also diagnosed with invasive ductal carcinoma (IDC) has not been well evaluated …
Computational analysis of three-dimensional epithelial morphogenesis using vertex models
XX Du, M Osterfield, SY Shvartsman - Physical biology, 2014 - iopscience.iop.org
The folding of epithelial sheets, accompanied by cell shape changes and rearrangements,
gives rise to three-dimensional structures during development. Recently, some aspects of …
gives rise to three-dimensional structures during development. Recently, some aspects of …
Lattice-Based Model of Ductal Carcinoma In Situ Suggests Rules for Breast Cancer Progression to an Invasive State
E Boghaert, DC Radisky… - PLoS computational …, 2014 - journals.plos.org
Ductal carcinoma in situ (DCIS) is a heterogeneous group of non-invasive lesions of the
breast that result from abnormal proliferation of mammary epithelial cells. Pathologists …
breast that result from abnormal proliferation of mammary epithelial cells. Pathologists …
Tumor growth in complex, evolving microenvironmental geometries: a diffuse domain approach
Y Chen, JS Lowengrub - Journal of theoretical biology, 2014 - Elsevier
We develop a mathematical model of tumor growth in complex, dynamic microenvironments
with active, deformable membranes. Using a diffuse domain approach, the complex domain …
with active, deformable membranes. Using a diffuse domain approach, the complex domain …
[HTML][HTML] The formation of tight tumor clusters affects the efficacy of cell cycle inhibitors: a hybrid model study
Cyclin-dependent kinases (CDKs) are vital in regulating cell cycle progression, and, thus, in
highly proliferating tumor cells CDK inhibitors are gaining interest as potential anticancer …
highly proliferating tumor cells CDK inhibitors are gaining interest as potential anticancer …
Mathematical modeling for novel cancer drug discovery and development
Introduction: Mathematical modeling enables: the in silico classification of cancers, the
prediction of disease outcomes, optimization of therapy, identification of promising drug …
prediction of disease outcomes, optimization of therapy, identification of promising drug …