How to numerically solve the differential quations of Vitamin D3 synthesis?

10 December 2022 0 3K Report

I would like to calculate the concentrations of Provitamin D3, Previtamin D3, Lumisterol, Tachysterol and Toxisterols from a UV light spectrum. I am not working in this field, this is just a hobby project - so I do not have a counterpart for discussions nor the specialized education apart from a PhD in physics in a completely different topic.

I found the differential equations, absorption spectra and quantum yields in:

Galkin, O. N. & Terenetskaya, I. P. (1999)

‘Vitamin D’ biodosimeter: basic characteristics and potential applications.

Journal of Photochemistry and Photobiology B: Biology, 53 12–19.

https://dx.doi.org/http://dx.doi.org/10.1016/S1011-1344(99)00115-3

(@Irina-Terenetskaya ?)

My results qualitatively reproduce Figure 4 in this paper, but I do not get it fully matching. I made some assumptions regarding units. Is there someone who could look into my implementation or my thoughts about the paper summarized in a few powerpoint slides or point me to a paper or textbook article, that can help me further?

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