Abstract
Analysis of antineoplastic immunity on the basis of a multivariative method is proposed. As a result, a decision tree for predicting the form of a pathological process is obtained. The method is implemented as a package of Java-classes.
Similar content being viewed by others
References
A. D. Aleksandrov, A. N. Kolmogorov, and M. A. Lavrent’ev, Mathematics: Its Content, Methods, and Meaning, Dover Publications, N.Y. (1999).
L. A. Segel, Mathematical Models in Molecular and Cellular Biology, CUP Archive (1980).
A. Aho, J. Hopcroft, and J Ullman, The Design and Analysis of Computer Algorithms [Russian translation], Mir Moscow (1979).
A. G. Nakonechnyi and V. P. Martsenyuk, “Controllability problems for differential Gompertzian dynamic equations,” Cybernetics and Systems Analysis, 40, No. 2, 252–259 (2004).
V. P. Martsenyuk, “On stability of immune protection model with regard for damage of target organ: The degenerate Lyapunov functionals method,” Cybernetics and Systems Analysis, 40, No. 1, 126–136 (2004).
V. P. Martsenyuk, “On the problem of chemotherapy scheme search based on control theory,” Journal of Automation and Information Sciences, 35, No. 4, 51–60 (2003).
Y. Koch, T. Wolf, P. K . Sorger, R. Eils, and B. Brars, “Decision-tree based model analysis for efficient identification of parameter relations leading to different signaling states,” PLoS ONE (2013), 8(12), doi:10.1371/journal.pone.0082593.
C. Kühn, Ch. Wierling, A. Kühn, E. Klipp, G. Panopoulou, H. Lehrach, and A. J. Poustka, “Monte Carlo analysis of an ODE model of the sea urchin endomesoderm network,” BMC Systems Biology (2009), 3:83, doi:10.1186/1752-0509-3-83.
E. Hairer, S. P. Norsett, and G. Wanner, Solving Ordinary Differential Equations: Nonstiff Problems [Russian translation], Mir, Moscow (1990).
I. S. Gvozdetska, “Mathematical models of tumoral growth that are based on the Gompertz dynamics,” Abstr. of Ph.D. Thesis in Techn. Sci., Ternopil (2012).
R. Latkowski, “High computational complexity of the decision tree induction with many missing attribute values,” in: L. Czaja (ed.), Proc. Intern. Workshop on Concurrency, Specification and Programming (CS&P’2003), Vol. 2, Zaklad Graficzny UW, Czarna, Poland (2003), pp. 318–325.
Author information
Authors and Affiliations
Corresponding authors
Additional information
Translated from Kibernetika i Sistemnyi Analiz, No. 3, pp. 157–166, May–June, 2015.
Rights and permissions
About this article
Cite this article
Martsenyuk, V.P., Andrushchak, I.Y. & Gvozdetska, I.S. Qualitative Analysis of the Antineoplastic Immunity System on the Basis of a Decision Tree. Cybern Syst Anal 51, 461–470 (2015). https://doi.org/10.1007/s10559-015-9737-6
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10559-015-9737-6