Success and Fail at the Internalization and Expelling of Nanoparticles off Tumor Cells Through Electrodynamics and Diffusion Equation

Nieto-Chaupis, Huber

doi:10.1109/bibm55620.2022.9995427

Cited by 1 publication

(2 citation statements)

References 38 publications

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“…Equation ( 28) expresses the fact that the efficiency of injected nanoparticles acquires a maximum for some values of free parameters α and β, which would give the peaks of distributions. Turning now to Equation (17), one can see that with the replacements from Equations ( 21), ( 24) and ( 25) one obtains…”

Section: Weibull and Lorentzian Distributionsmentioning

confidence: 99%

“…Therefore, the conjunction of classical electrodynamics and diffusive models emerges to be necessary in order to propose a robust model that describes the flux of nanoparticles as compounds with an electrically charged surface. It should be noted that this conjunction might not be limited to determinism; so, probabilistic events might be a fair extension of hybrid approaches [17]. In this manner, the end-to-end process from injection to internalization can be seen as a chain of events.…”

Section: Introductionmentioning

confidence: 99%

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Is Drug Delivery System a Deterministic or Probabilistic Approach? A Theoretical Model Based on the Sequence: Electrodynamics–Diffusion–Bayes

Nieto-Chaupis

2023

Mathematics

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Commonly, it is accepted that oncology treatment would yield outcomes with a certain determinism without any quantitative support or mathematical model that establishes such determinations. Nowadays, with the advent of nanomedicine, the targeting drug delivery scheme has emerged, whose central objective is the uptake of nanoparticles by tumors. Once they are injected into the bloodstream, it is unclear as to which process governs the directing of nanoparticles towards the desired target, deterministic or stochastic. In any scenario, an optimal outcome, small toxicity and minimal dispersion of drugs is expected. Commonly, it is expected that an important fraction of them can be internalized into tumor. In this manner, due to the fraction of nanoparticles that have failed to uptake, the success of the drug delivery scheme might be at risk. In this paper, a theory based on the sequence electrodynamics–diffusion–Bayes theorem is presented. The Bayesian probability that emerges at the end of the sequence might be telling us that dynamical processes based on the injection of electrically charged nanoparticles might be dictated by stochastic formalism. Thus, rather than expecting a deterministic process, the chain of events would convert the drug delivery scheme to be dependent on a sequence of conditional probabilities.

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Section: Weibull and Lorentzian Distributionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%