▪ Multiscale Mathematical Modeling of Vascular Tumor Growth: An Exercise in Transatlantic Cooperation

2010 ◽  
pp. 278-333 ◽  
Keyword(s):  
Mathematical Modeling ◽  
Tumor Growth ◽  
Vascular Tumor ◽  
Transatlantic Cooperation

Mathematical modeling of chemotherapy strategies in vascular tumor growth using nanoparticles

2007 ◽  
Vol 189 (2) ◽  
pp. 1246-1254 ◽  
Author(s):  
Somna Mishra ◽  
V.K. Katiyar ◽  
V. Arora
Keyword(s):  
Mathematical Modeling ◽  
Tumor Growth ◽  
Vascular Tumor

Reaction kinetic interpretation of mechanisms related to vascular tumor growth with respect to structural identifiability

2020 ◽  
Vol 53 (2) ◽  
pp. 16106-16111
Author(s):  
Dávid Csercsik ◽  
Levente Kovács
Keyword(s):  
Tumor Growth ◽  
Reaction Kinetic ◽  
Vascular Tumor ◽  
Structural Identifiability

scholarly journals Basic ingredients for mathematical modeling of tumor growth in vitro: Cooperative effects and search for space

2013 ◽  
Vol 337 ◽  
pp. 24-29 ◽  
Author(s):  
F.H.S. Costa ◽  
M. Campos ◽  
O.E. Aiéllo ◽  
M.A.A. da Silva
Keyword(s):  
Mathematical Modeling ◽  
Tumor Growth ◽  
Cooperative Effects

scholarly journals Cell delivery of Met docking site peptides inhibit angiogenesis and vascular tumor growth

Oncogene ◽  
2010 ◽  
Vol 29 (38) ◽  
pp. 5286-5298 ◽  
Author(s):  
A R Cantelmo ◽  
R Cammarota ◽  
D M Noonan ◽  
C Focaccetti ◽  
P M Comoglio ◽  
...  
Keyword(s):  
Tumor Growth ◽  
Vascular Tumor ◽  
Cell Delivery ◽  
Docking Site

Mathematical Modeling of Substrates Fluxes and Tumor Growth in the Brain

2019 ◽  
Vol 67 (2) ◽  
pp. 149-175 ◽  
Author(s):  
Angélique Perrillat-Mercerot ◽  
Nicolas Bourmeyster ◽  
Carole Guillevin ◽  
Alain Miranville ◽  
Rémy Guillevin
Keyword(s):  
Mathematical Modeling ◽  
Tumor Growth ◽  
The Brain

Mathematical modeling of tumor growth as a random process

2020 ◽  
Vol 14 (3) ◽  
pp. 245-249
Author(s):  
Fatemeh Beigmohammadi ◽  
Amir A. Masoudi ◽  
Mohammad Khorrami ◽  
Amir H. Fatollahi
Keyword(s):  
Mathematical Modeling ◽  
Tumor Growth ◽  
Random Process

scholarly journals In Vivo Bioluminescence Tomography for Monitoring Breast Tumor Growth and Metastatic Spreading: Comparative Study and Mathematical Modeling

2016 ◽  
Vol 6 (1) ◽  
Author(s):  
Séverine Mollard ◽  
Raphaelle Fanciullino ◽  
Sarah Giacometti ◽  
Cindy Serdjebi ◽  
Sebastien Benzekry ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Tumor Growth ◽  
Comparative Study ◽  
Breast Tumor ◽  
Bioluminescence Tomography ◽  
Metastatic Spreading

scholarly journals MATHEMATICAL MODELING OF TUMOR CELL GROWTH AND IMMUNE SYSTEM INTERACTIONS

2012 ◽  
Vol 09 ◽  
pp. 95-111 ◽  
Author(s):  
FATHALLA A. RIHAN ◽  
MUNTASER SAFAN ◽  
MOHAMED A. ABDEEN ◽  
DUAA H. ABDEL-RAHMAN
Keyword(s):  
Mathematical Modeling ◽  
Tumor Growth ◽  
Delay Differential Equations ◽  
Tumor Growth Rate ◽  
Cellular Immunotherapy ◽  
Tumor Cell Growth ◽  
Adoptive Cellular Immunotherapy ◽  
Effector Cells ◽  
Two Parameters ◽  
Delay Differential

In this paper, we provide a family of ordinary and delay differential equations to describe the dynamics of tumor-growth and immunotherapy interactions. We explore the effects of adoptive cellular immunotherapy on the model and describe under what circumstances the tumor can be eliminated. The possibility of clearing the tumor, with a strategy, is based on two parameters in the model: the rate of influx of the effector cells, and the rate of influx of IL2. The critical tumor-growth rate, below which endemic tumor does not exist, has been found. One can use the model to make predictions about tumor-dormancy.

A continuum description of vascular tumor growth

2017 ◽  
Author(s):  
Anna Claudia M. Resende ◽  
Regina C. Almeida ◽  
Ernesto A. B. F. Lima ◽  
Brendon J. Rodrigues
Keyword(s):  
Tumor Growth ◽  
Vascular Tumor ◽  
Continuum Description
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