A transient mathematical model of oxygen depletion during photodynamic therapy.
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.
Henning
J P
JP
Department of Chemical Engineering, University of Toledo, Ohio 43606, USA.
Fournier
R L
RL
Hampton
J A
JA
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
D010100:Oxygen