TY - JOUR
T1 - The triplex vaccine effects in mammary carcinoma
T2 - A nonlinear model in tune with SimTriplex
AU - Bianca, Carlo
AU - Pennisi, Marzio
N1 - Funding Information:
The first author was partially supported by the FIRB project-RBID08PP3J-Metodi matematici e relativi strumenti per la modellizzazione e la simulazione della formazione di tumori, competizione con il sistema immunitario, e conseguenti suggerimenti terapeutici. The research was also partially supported by the INDAM-GNFM-Young Researchers Project-prot.n.43-Mathematical Modelling for the Cancer–Immune System Competition Elicited by a Vaccine and by University of Catania under PRA grant .
PY - 2012/8
Y1 - 2012/8
N2 - This paper deals with the mathematical modeling of the mammary carcinomaimmune system competition elicited by an external stimulus represented by three different protocols of the triplex vaccine [C. De Giovanni, et al., Immunoprevention of HER-2/neu transgenic mammary carcinoma through an interleukin 12-engineered allogeneic cell vaccine, Cancer Research 64 (2004) 40014009]. The presented model is composed of nonlinear ordinary differential equations based on parameters and cell populations. A qualitative analysis of the asymptotic behavior of the model and numerical simulations are able to depict preclinical experiments on transgenic mice in tune with the SimTriplex model [F. Pappalardo, F. Castiglione, P.L. Lollini, S. Motta, Modelling and simulation of cancer immunoprevention vaccine, Bioinformatics 21 (2005) 28912897]. The results are of great interest both in the applied and theoretical sciences.
AB - This paper deals with the mathematical modeling of the mammary carcinomaimmune system competition elicited by an external stimulus represented by three different protocols of the triplex vaccine [C. De Giovanni, et al., Immunoprevention of HER-2/neu transgenic mammary carcinoma through an interleukin 12-engineered allogeneic cell vaccine, Cancer Research 64 (2004) 40014009]. The presented model is composed of nonlinear ordinary differential equations based on parameters and cell populations. A qualitative analysis of the asymptotic behavior of the model and numerical simulations are able to depict preclinical experiments on transgenic mice in tune with the SimTriplex model [F. Pappalardo, F. Castiglione, P.L. Lollini, S. Motta, Modelling and simulation of cancer immunoprevention vaccine, Bioinformatics 21 (2005) 28912897]. The results are of great interest both in the applied and theoretical sciences.
KW - Biological complexity
KW - Mathematical biology
KW - Nonlinear ODE
KW - Population dynamics
KW - Tumors
UR - http://www.scopus.com/inward/record.url?scp=84856551482&partnerID=8YFLogxK
U2 - 10.1016/j.nonrwa.2011.12.019
DO - 10.1016/j.nonrwa.2011.12.019
M3 - Article
SN - 1468-1218
VL - 13
SP - 1913
EP - 1940
JO - Nonlinear Analysis: Real World Applications
JF - Nonlinear Analysis: Real World Applications
IS - 4
ER -
