Dear Shan Lu ,

I don't want to be 'indoctrinating you' anyway....

and - unfortunately - I am no chemist or biochemist - and I am out of 'business' for 5 years now (retired)....

Since (worst case) nobody seems to be willing (or has the time now) to give an answer or (that condition would sound a bit better) - has found your question within the 7 days that passed by now I would like to reply to your Question (but - I regret - it is not a 'mathematical equation...short and precise...), instead some work, I guess:

If you had a look into:

Article Effect of peracetic acid on the enzymatic digestion of vario...

you may have an imagination that the considerations / thoughts on such staining problems , recte: 'staining reaction mechanisms' were thought long long ago...

NB: Direct LINK to that paper (omit the 2 underscore characters ' __ ' inserted here when copying and pasting into your browser:

https__://journals.sagepub.com/doi/pdf/10.1177/8.2.113

"EFFECT OF PERACETIC ACID ON THE ENZYMATIC DIGESTION OF VARIOUS MUCOPOLYSACCHARIDES: REVERSAL OF THE PAS STAINING REACTION OF MUCIN"

FULLMER HM, 1960:

"....The-oxidation of sections with peracetic-acid profoundly modifies the effect of both proteolytic acid mucopolysaccharase enzymes on mucins and other mucopolysaccharides as well as inducing the staining reactivity of several mucopolysaccharide-containing structures with aldehyde fuchsin....."

Another article by the same author:

FULLMER HM, also 1960:

"A COMPARATIVE HISTOCHEMICAL STUDY OF ELASTIC, PRE-ELASTIC AND OXYTALAN CONNECTIVE TISSUE FIBERS"

Article A comparative histochemical study of elastic, pre-elastic an...

(for copying and pasting the following URL into your BROWSER the same as above applies:

https__://journals.sagepub.com/doi/pdf/10.1177/8.4.290

but there - for sure - are more "modern" studies explaining what is known and what is not... , e.g. (naturally not exhausting...searching PubMed, Google scholar, Google and other data bases for the respective keywords will show many other articles too):

LEONARDI et al, 2001

"Histochemical study of the elastic fibers in pathologic human temporomandibular joint discs" in:

J Oral Maxillofac Surg. 2001 Oct;59(10):1186-92. doi: 10.1053/joms.2001.26723.

cf.: https://pubmed.ncbi.nlm.nih.gov/11573179/

See also the collection "SIMILAR ARTICLES" below the Abstract.

COTTA-PEREIRA et al, 1976:

"OXYTALAN, ELAUNIN, AND ELASTI C FIBERS IN THE HUMAN SKIN"

JOURNAL OF INVESTIGATIVE DERMATOLOGY 66: 143-148. 1976

[1976 Mar;66(3):143-8. doi: 10.1111/1523-1747.ep12481882.]

(at least informative Lit. Ref's regarding 'pre-oxidation with peracetic acid')

NB: cf.: Oxytalan, elaunin, and elastic fibers in the human skin - PubMed (nih.gov) ==> Elsevier OPEN ACCESS, J Invest Dermatol

[ https://pubmed.ncbi.nlm.nih.gov/1249442/, or: https://www.jidonline.org/article/S0022-202X(15)44699-8/pdf ]

URLs given only for your optimal convenience and satisfaction....

No guarantee for correct URLs' addresses or correct "copying of text passages

These and other articles just have to be read and then you may anticipate what you always wanted to know...(:-))

Best of Luck!

Last resort:

4712 PDFs and publications in PERACETIC ACID - ResearchGate

https://www.researchgate.net/topic/Peracetic-Acid/publications/9