The triplex vaccine effects in mammary carcinoma: A nonlinear model in tune with SimTriplex |
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Authors: | Carlo Bianca Marzio Pennisi |
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Institution: | a Dipartimento di Scienze Matematiche, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italyb Dipartimento di Matematica & Informatica, Università di Catania, Viale Andrea Doria 6, 95125, Catania, Italy |
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Abstract: | This paper deals with the mathematical modeling of the mammary carcinoma-immune 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) 4001-4009]. 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) 2891-2897]. The results are of great interest both in the applied and theoretical sciences. |
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Keywords: | Biological complexity Tumors Population dynamics Mathematical biology Nonlinear ODE |
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