title: Mathematical modeling of vesicle drug delivery systems 2: targeted vesicle interactions with cells, tumors, and the body.
abstract: Vesicles have been studied for several years in their ability to deliver drugs. Mathematical models have much potential in reducing time and resources required to engineer optimal vesicles, and this review article summarizes these models that aid in understanding the ability of targeted vesicles to bind and internalize into cancer cells, diffuse into tumors, and distribute in the body. With regard to binding and internalization, radiolabeling and surface plasmon resonance experiments can be performed to determine optimal vesicle size and the number and type of ligands conjugated. Binding and internalization properties are also inputs into a mathematical model of vesicle diffusion into tumor spheroids, which highlights the importance of the vesicle diffusion coefficient and the binding affinity of the targeting ligand. Biodistribution of vesicles in the body, along with their half-life, can be predicted with compartmental models for pharmacokinetics that include the effect of targeting ligands, and these predictions can be used in conjunction with in vivo models to aid in the design of drug carriers. Mathematical models can prove to be very useful in drug carrier design, and our hope is that this review will encourage more investigators to combine modeling with quantitative experimentation in the field of vesicle-based drug delivery.
authors.affiliation: University of California, Los Angeles, CA 90095-1600, USA.
authors.forename: Chong T
authors.initials: CT
authors.lastname: Ying
authors.forename: Juntian
authors.initials: J
authors.lastname: Wang
authors.forename: Robert J
authors.initials: RJ
authors.lastname: Lamm
authors.forename: Daniel T
authors.initials: DT
authors.lastname: Kamei
mesh_terms: D000818:Animals; D000970:Antineoplastic Agents / Q000493:pharmacokinetics / Q000494:pharmacology; D002477:Cells / Q000187:drug effects / Q000378:metabolism*; D004337:Drug Carriers / Q000737:chemistry*; D016503:Drug Delivery Systems; D018594:Human Body; D006801:Humans; D008962:Models, Theoretical; D009369:Neoplasms / Q000188:drug therapy / Q000378:metabolism*
chemical_list: D000970:Antineoplastic Agents; D004337:Drug Carriers