ORIGINAL RESEARCH

Towards a computational prediction for the tumor selective accumulation of paramagnetic nanoparticles in retinoblastoma cells

Johansen RJ1,2, Bukhvostov AA3, Ermakov KV3, Kuznetsov DA2,3
About authors

1 Department of Mathematics and Computer Science, University of Southern Denmark, Odense, DK-5230, Denmark

2 N. N. Semenov Institute of Chemical Physics, Russian Academy of Sciences, Moscow

3 Department of Medical Nanobiotechnologies,
Pirogov Russian National Research Medical University, Moscow

Correspondence should be addressed: Dmitry A. Kuznetsov
Ostrovityanova 1, Moscow, 117997; ur.liam@onanzuk

About paper

Acknowledgments: this work was performed due to an exceptional technical assistance kindly provided by Erasmus-Plus DK06811/2020 Program associates affiliated with the Southern Denmark University at Odense, Denmark, and, most specifically, by Ms. Patricia Wladycziewski, SDU Erasmus chief supervising officer.

Received: 2018-06-27 Accepted: 2018-08-18 Published online: 2018-12-30
|

Retinoblastoma is a malignant growth affecting retina. An original combination of modified Non-Markov and Gompertzian computational approaches is proven of being a reliable tool for prediction of tumor selective accumulation of the bivalent metal isotopes (25Mg, 43Ca, 60Co, 67Zn, …) — releasing nanoparticles in human retinoblastoma cells. This mathematical model operates with a starting point of the discriminative drug uptake caused by a gap-like distinction between the neighboring malignant and normal cell proliferation rates. This takes into account both pharmacokinetic and pharmacodynamic peculiarities of PMC16, fullerene-C60 based nanoparticles, known for their unique capabilities for a cancer-targeted delivery of paramagnetic metal isotopes followed by an essential chemotherapeutic effect. Being dependent on a tumor growth rate but not on the neoplasm steady state mass, a randomized level of drug accumulation in retinoblastoma cells has been formalized as a predictive paradigm suitable to optimize an ongoing PMC16 preclinical research.

Keywords: retinoblastoma, paramagnetic cytostatics, nanocationites, tumor selective nanoparticles uptake, drug accumulation mathematical model

КОММЕНТАРИИ (0)