A stochastic model of nanoparticle self-assembly on Cayley trees

3rd International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Mazilu, I.^1 ; Schwen, E.M.^1 ; Banks, W.E.^1 ; Pope, B.K.^1 ; Mazilu, D.A.^1

Washington and Lee University, 204 W. Washington Street, Lexington

VA

24450, United States^1

关键词: Coordination number;    Diagnostic agents;    Drug encapsulation;    Drug molecules;    Medical research;    Nanoparticle self-assembly;    Particle densities;    Synthetic polymers;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/574/1/012086/pdf
DOI  :  10.1088/1742-6596/574/1/012086

来源: IOP

【 摘 要 】

Nanomedicine is an emerging area of medical research that uses innovative nanotechnologies to improve the delivery of therapeutic and diagnostic agents with maximum clinical benefit. We present a versatile stochastic model that can be used to capture the basic features of drug encapsulation of nanoparticles on tree-like synthetic polymers called dendrimers. The geometry of a dendrimer is described mathematically as a Cayley tree. We use our stochastic model to study the dynamics of deposition and release of monomers (simulating the drug molecules) on Cayley trees (simulating dendrimers). We present analytical and Monte Carlo simulation results for the particle density on Cayley trees of coordination number three and four.