Cancer systems biology: a network modeling perspective

PK Kreeger, DA Lauffenburger - Carcinogenesis, 2010 - academic.oup.com
Cancer is now appreciated as not only a highly heterogenous pathology with respect to cell
type and tissue origin but also as a disease involving dysregulation of multiple pathways …

A systems biology view of blood vessel growth and remodelling

EA Logsdon, SD Finley, AS Popel… - Journal of cellular and …, 2014 - Wiley Online Library
Blood travels throughout the body in an extensive network of vessels–arteries, veins and
capillaries. This vascular network is not static, but instead dynamically remodels in response …

Scientific and regulatory evaluation of mechanistic in silico drug and disease models in drug development: Building model credibility

FT Musuamba, I Skottheim Rusten… - CPT …, 2021 - Wiley Online Library
The value of in silico methods in drug development and evaluation has been demonstrated
repeatedly and convincingly. While their benefits are now unanimously recognized …

Biologically-based mathematical modeling of tumor vasculature and angiogenesis via time-resolved imaging data

DA Hormuth, CM Phillips, C Wu, EABF Lima… - Cancers, 2021 - mdpi.com
Simple Summary The recruitment of new vasculature via angiogenesis is a critical
component of tumor development, which fundamentally influences tumor growth and …

Mathematical modeling predicts synergistic antitumor effects of combining a macrophage-based, hypoxia-targeted gene therapy with chemotherapy

MR Owen, IJ Stamper, M Muthana, GW Richardson… - Cancer research, 2011 - AACR
Tumor hypoxia is associated with low rates of cell proliferation and poor drug delivery,
limiting the efficacy of many conventional therapies such as chemotherapy. Because many …

Mesoscopic and continuum modelling of angiogenesis

F Spill, P Guerrero, T Alarcon, PK Maini… - Journal of mathematical …, 2015 - Springer
Angiogenesis is the formation of new blood vessels from pre-existing ones in response to
chemical signals secreted by, for example, a wound or a tumour. In this paper, we propose a …

Computational modeling of solid tumor growth: the avascular stage

D Bresch, T Colin, E Grenier, B Ribba, O Saut - SIAM Journal on Scientific …, 2010 - SIAM
In this paper, we present a mathematical model for avascular tumor growth and its numerical
study in two and three dimensions. For this purpose, we use a multiscale model using PDEs …

Mathematical modeling of glioma invasion: acid-and vasculature mediated go-or-grow dichotomy and the influence of tissue anisotropy

M Conte, C Surulescu - Applied Mathematics and Computation, 2021 - Elsevier
Starting from kinetic transport equations and subcellular dynamics we deduce a multiscale
model for glioma invasion relying on the go-or-grow dichotomy and the influence of …

Systems oncology: towards patient-specific treatment regimes informed by multiscale mathematical modelling

GG Powathil, M Swat, MAJ Chaplain - Seminars in cancer biology, 2015 - Elsevier
The multiscale complexity of cancer as a disease necessitates a corresponding multiscale
modelling approach to produce truly predictive mathematical models capable of improving …

A multilayer grow-or-go model for GBM: effects of invasive cells and anti-angiogenesis on growth

O Saut, JB Lagaert, T Colin… - Bulletin of mathematical …, 2014 - Springer
The recent use of anti-angiogenesis (AA) drugs for the treatment of glioblastoma multiforme
(GBM) has uncovered unusual tumor responses. Here, we derive a new mathematical …