Geodesic
Modeling of the extracellular information field influence in~dynamics of the
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 23 (2019) no. 4, pp. 705-723

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The dynamic nonlinear 2D model of the extracellular information field influence in the dynamics of risks of the cancer tumor formation and development has been considered. Physical properties of the extracellular matrix, availability of nutrients, oxygen concentration, pH of the extracellular matrix, interaction with stromal cells, and etc. are considered as the main external parameters forming the informational metabolic potential. Within the framework of the constructed 2D analytical model, it has been shown that microinteraction through the extracellular matrix of emerging cancer cells through a dynamic informational metabolic profile significantly influences the risk dynamics of the formation and development of a cancer tumor. It is shown that, depending on the structure of the 2D informational metabolic profile, a number of characteristic nonlinear features such as 2D bifurcations, beats, chaos, imposed on integral dynamic curves resembling by the Gompertz function, describing the probable risks of the formation and development of a cancerous tumor, are appeared. A comparison of the results of our analytical model under consideration with the results of the modeling of other authors on the consideration of chaotic and bifurcation dynamics in the “tumor–immune cluster–virus” system has been made. As a result of the quantitative estimations carried out within framework of the proposed theoretical model, we can formulate a method for assessing the risks of developing malignant neoplasms, characterized in that subfebrile temperature, caspase level, colposcopic Raid index, which determine the threshold for the formation of malignant neoplasms, and identified as the risk factors.
Keywords: extracellular information field, bifurcation and chaotic dynamics, models of the formation and development of a cancer tumor. 
@article{VSGTU_2019_23_4_a5,
     author = {O. I. Artemova and V. D. Krevchik and M. B. Semenov},
     title = {Modeling of the extracellular information field influence in~dynamics of the},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {705--723},
     publisher = {mathdoc},
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     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2019_23_4_a5/}
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O. I. Artemova; V. D. Krevchik; M. B. Semenov. Modeling of the extracellular information field influence in~dynamics of the. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 23 (2019) no. 4, pp. 705-723. http://geodesic.mathdoc.fr/item/VSGTU_2019_23_4_a5/