In the Firing rules: For a morphism (transition), there are two types of firing rules labeled I and II subsection of the Methods, there is an error in the first sentence of the 12^th paragraph. The correct sentence is: Similarly, the following relation may arise,

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(r, s; appropriate non-negative integers that provide adequate elements).

In the Marking of a PN as an optional display subsection of the Methods, there is an error in 12^th and16^th equation. Please view the complete, correct equation here.

(12)(16)

In the An explicit/implicit identity protein and its treatment subsection of the An example of composition in the DNA model, there is an error in the 12^th sentence of the third paragraph. The correct sentences is: Moreover, <Pr_(k)0> is defined as the state where the ‘∆’s of the explicit identity protein are deleted via the annihilation morphism for ; ‘’ (in this instance, k = 6).

In the An explicit/implicit identity protein and its treatment subsection of the An example of composition in the DNA model, there is an error in the 15^th sentence of the third paragraph. The correct sentence is: Naturally, an inverse procedure is considered via the creation morphism, ‘’ (with k = 6).

In the Regarding the symbols [[]], (()) and << >> that treat the explicit/implicit deletion of identity elements subsection of the An example of composition in the DNA model, there is an error in the third sentence of the second paragraph. The correct sentence is: In the above example, by performing the additional operation to , (in place p₅).

In the Regarding the symbols [[]], (()) and << >> that treat the explicit/implicit deletion of identity elements subsection of the An example of composition in the DNA model, there is an error in the fifth and sixth sentences of the second paragraph. The correct sentences are: In an ordinal , s = 1, r = ∞ is imposed, and (in place p₅). For the ‘part of the operation f_t-sp (=f_(4→6)) and f_post-prot. (=f_po-pr=f_(6→7)).’; we see f_(4→6));f_(6→7) and f_(4→5));f_(5→7) commute because all tokens of place p₅ are products of Rs₍₄₎₂^†;<>_r,s;…) to a sequence of amino acids (protein) (in place p₆) from the r-th to the s-th coordinate (s,r: non-negative integers with s≤r; s,r=0,1,2,…) of, say, token Rs₍₄₎₂^†, denoted ‘<Rs₍₄₎₂^†>;[ ]_s,r’, the following manipulation is verified for ‘Rs₍₄₎₂^†=[E₀|A₁U₂G₃()_4-6C₇U₈G₉()_10-12C₁₃G₁₄U₁₅()_16-18A₁₉C₂₀G₂₁||E₂₂E₂₃E₂₄…] (in place p₅)’,

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In the Regarding the symbols [[]], (()) and <<>> that treat the explicit/implicit deletion of identity elements subsection of the An example of composition in the DNA model, there is an error in the first sentence of the eighth paragraph. The correct sentence is: Similarly, for morphism f_po-pr (=f_(6→7)); if the deletion of explicit ‘∆’s from the r-th to the s-th coordinate (s,r: non-negative integers with s≤r; s,r=0,1,2,…) of, say, token ‘Pr₍₆₎₂ is denoted ‘Pr₍₆₎₂;<< >>_s,r’, the following manipulation is verified for ‘Pr₍₆₎₂=[∆₀|M₁∆₂∆₃L₄R₅∆₆∆₇∆₈T₉R₁₀∆₁₁∆₁₂L₁₃M₁₄||∆₁₅∆₁₆∆₁₆…] = (in place p₆)’,

In this way, Then,

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In the A treatment of the somatic recombination (VDJ recombination) for antibodies using the concept of colimit subsection of the An example of composition in the DNA model, there is an error in the fifth sentence of the third paragraph. The correct sentence is: Hence, as an example, we have

where the number of recognized bases is ‘N_J=5’.

In the Discussion section, there is an error in first sentence of the ninth paragraph. The correct sentence is: Finally, the use of unit ‘1’ in Descartes’s geometry may be one of the first applications of the binary operation of group where ‘n;n;n;…;n=n;n=n’ and ‘n=n;n=n;n;n;…;n’ are demonstrated multiple times so that the formula ‘a³+2ab+3a/b²’ is adapted entirely in three dimensions as ‘a³+2ab·1+3(a/b²)·1⁴’.

The Supporting Information files are incorrect. Please see the correct S1 File and S1 Appendix below.