title: A transient mathematical model of oxygen depletion during photodynamic therapy.
abstract: A transient one-dimensional mathematical model is presented to help visualize the qualitative and quantitative effects on inter-capillary tissue undergoing photodynamic therapy (PDT). The model is solved by a Crank-Nicholson finite difference formulation to provide time-dependent concentrations of the Type II mechanism's photo-oxidation species in the tissue surrounding a capillary. The time-dependent solution allows educated decisions to be made as to the optimum timing of light fractionation (on/off) cycles. Qualitative and quantitative optimization of the PDT process is considered along with a case study of data in the literature, the main goal being to provide optimized light therapy regimens for eventual clinical use.
authors.affiliation: Department of Chemical Engineering, University of Toledo, Ohio 43606, USA.
authors.forename: J P
authors.initials: JP
authors.lastname: Henning
authors.forename: R L
authors.initials: RL
authors.lastname: Fournier
authors.forename: J A
authors.initials: JA
authors.lastname: Hampton
mesh_terms: D000818:Animals; D005260:Female; D008325:Mammary Neoplasms, Experimental / Q000188:drug therapy* / Q000378:metabolism; D008433:Mathematics; D008954:Models, Biological; D010100:Oxygen / Q000378:metabolism*; D010778:Photochemotherapy; D051381:Rats; D011916:Rats, Inbred F344
chemical_list: D010100:Oxygen