Optimal Efficacy in Light-Activated Biomedical Systems and Nonlinear Laws versus Linear Beer-Lambert Law and Bunsen-Roscoe Reciprocal Law

Volume 1 - Issue 5

Jui-Teng Lin*

Received: March 14, 2018;   Published: March 21, 2018

DOI: 10.32474/OAJBEB.2018.01.000123

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Abstract

Efficacy of light-activated biomedical processes depends on the tissues (media) optical properties, the photosensitizers, and the light parameters such as its wavelength, energy, intensity, pulse-width, repetition rate and the operation modes. Optimal combination of light fluence (energy density), intensity and irradiation time may be achieved via scaling laws. Beer-Lambert law (BLL) and Bunsen-Roscoe law (BRL, for reciprocity rule) are discussed and compared to new nonlinear scaling laws developed by coupled equation for light intensity and concentration of the photosensitizers. The linear BLL is limited to simple case, when there is no photosensitizer depletion. Type-II photodynamic therapy efficacy follows the BRL (for the case of no external oxygen supply, with P=0), whereas type-I and type-II (with P>0) follow a non-linear non-BRL.

Keywords: Photodynamic Therapy Efficacy; Beer Lambert Law; Bunsen Roscoe Law

Abbrevations: BLL: Beer Lambert Law; BRL: Bunsen Roscoe Law; BGK: Bhatnagar Gross Krook

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