Abstract
The primary focus of the nanotechnology therapeutic approaches has been on early disease detection, drug discovery and monitoring, controlled release of therapeutic agents, and targeted drug delivery. Targeted drug delivery system requires more research including statistical modeling to establish the reliability in success of drug targeting. This part of every nanotechnology therapeutic approach is especially fundamental for reaching stronger therapeutic effects with lower side effects. In practice, we may be unable to accurately assess our nanotechnology drug delivery system designs to improve the reliability. This is likely due to the lack of a unified definition of reliability in system design phase. For this shortcoming, we introduce the notion of reliability in this context. Our proposed notion of reliability is flexible in allowing a general method for determining dose level. We then describe a methodology that enables us to determine an optimal dose level to achieve certain reliability. Although, in this report we focus on a special nanotechnology drug delivery system for cancer therapy, i.e. folate-conjugated gold nanoparticles for transfer to over expressed-folate-receptor cancerous cells, our developed strategies can be applied to many other drug delivery systems as well.
Highlights
It goes without saying that advances in life- and physical-sciences and engineering have contributed greatly to the improvements made in our quality of life and wellbeing
The number of nanoconjugates that are carrying the drug and they are injected into the blood stream the probability that any of c nanoconjugates be able to penetrate the tissue the average number of folate receptors for a healthy cell in the tissue the average number of folate receptors for a cancerous cell in the tissue the average number of cells in the tissue the chance of a cell being a cancerous cell in the tissue the chance of a nanocojugate that is carrying the drug to penetrate a cancerous cell in the tissue the number of nanocojugates, carrying the drug, needed to destroy a cancerous cell in the tissue the cumulative distribution function of the standard normal distribution the percentile of the standard normal distribution
We report on our efforts to determine an optimal dose of the drug to achieve a particular reliability for a cancer nanotechnology drug delivery system
Summary
It goes without saying that advances in life- and physical-sciences and engineering have contributed greatly to the improvements made in our quality of life and wellbeing. Dynamic Model for the Number of Nanoconjugates Penetrated Cancerous Cells Population in a Tissue. Let X and Y be the number of folate receptors for healthy and cancerous cells, respectively. Stochastic models needed to model the number of cancerous cells as well as healthy cells in the tissue. We let the total number of cells in the tissue be represented by Z, where Z has Poisson distribution with the parameter λ. The parameters λp and λ (1 - p) represent average numbers of cancerous cells and healthy cells in the tissue, respectively.
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