The Making Cycle and the Character of the Cyclic Multiple- Classification Form of the Genetic Codon by IRJET Journal

The Making Cycle and the Character of the Cyclic MultipleClassification Form of the Genetic Codon System

Gwangil Jong1 , Jongchol Lee2 , Unchol Jang3

1 Professor, Doctor, Dept. of Biology Engineering, University of Science, D P R of Korea

2 Dept. of Program Engineering, University of Science, D.P.R of Korea.

3 Dept. of Program Engineering, University of Science, D.P.R of Korea.

Abstract - An abstract summarizes, in one paragraph, The genetic cipher, system is marked the structure of the existencemodel , , , , , , MPCKEDP  （）

Here, M istheuniversallysourcespace,thegeneticcipher, sentence that is contained in DNA chains. P is the subset of the cipher’ information space The genetic cipher, informationsentenceisexistedinthemendedRNAchains transcriptinginDNAchainsofeverymember.

C istheshortedgeneticcipher, arraywithprocessedRNA chains. This group have the , ; kk EEkKEPC  ｛｜｝ , characteristics.

Key Words: DNA chain, genetic cipher, system, genetic information

1. EXISTENCE STRUCTURE MODEL FOR GENETIC CODON SYSTEM

1.1 The Universe Sentence’s Character of the Genetic Codon

The genetic codon is the genetic information of the sequence of nucleic acid groups in a gene. Genetic information is expressed as the synthesis of proteins accordingtoeachcharacteristicofageneortheorderofa gene. The character of the protein has decided with arrange order of the amniotic acid on the polypeptide chainwithfirstform.

Therearemorethan20kindsofbasicaminoacidsthatare involvedinproteinsthatexistinnature,butthereareonly four kinds of nucleotides that are the constituent units of nucleicacidsthatcontaingeneticinformation.

Therefore,ifanucleotideisacodingletterthatrepresents a genetic codon, the identification of different features of thegeneticcodoncorrespondingto20aminoacidsinfour letters is an important link in the theoretical understandingofthegeneticcodontransferprocess.

The characters of the university sentences (or general sentence)isasfollow.

First; the one genetic codon consists of the 3-letters existedthenext-adjustedsitesonthenucleicacid

The nucleic base is 4 sorts that regulated the genetic informationofthegenome(DNA)existedintheorganism, scell.Thesortsofthelettersareall43=64.

This 3-letter codon is a very small unit among the genes apprisedthegeneticcharacteristics.

Therefore, this is a cipher unit of the genetic information (3-lettercodon)

Second; the cipher unit of the genetic information (the 3lettersarenotcodonsthatdetermineaminoacids,butare meaninglesscodonsthatnamedamber,orcher,opaltaken participate in the regulation of gene-coding expression) havethemeaning.

Namely,thetwoorit,sorecipher’sunit(3-letterscodon) is corresponded on the 1 amino acid. Therefore, the degeneration of the unit of the genetic codon can’t avoided.

Third,the1~2letteradjustedonthe2unitohthegenetic codonisnottheduplicativeappearanceoftheletter.

Fourth, the 2 letters adjusted on the units of the genetic codonisnotfixedanotherletterandthebetweentheunit ofgeneticcodonisnotadistance.

Fifth, Generally, the unit of the genetic codon (3-letter codon) is regulated the same amniotic acid in every organismandtheunitofthegeneticcodonhavethesame pointontheabilityoftheorganisms.

1.2 Existence Structure Model for Genetic Codon System

1.2.1 The Consistence of the Genetic Codon System

TheGeneticCodonSystemisasfollowwiththesubsetthat consistedofthe5-members,thereis

, , , , OPCKED (1)

Hereis,

P:universally,cipher,space

C:letter’ sspace

E:cipheringfunction

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D:recoveredletteringfunction

1.2.2 The Capacity of the Existence Structure Model for Genetic Codon System

The Existence Structure Model for Genetic Codon System ismarkedwith∑.Indetail,thereisthemarksasfollow.

  , , , , , , MPCKEDP  (2)

Here is M that consisted of the universal source. This is geneticciphersintheDNAchain. M consisttheModelthat named the space of the universally source. Every member’ s that included of this space is universally cipher source.

Next, P is thespace of the university cipher source. Every memberthatincludedofthisspacetranscribedintheDNA chain, therefore, this is Genetic cipher, code that included inmendedRNAchain,namely,thisisauniversallyciphers.

C is the arrange of the genetic codon that shorted by the processed the RNA chains. The ciphering function is markedasfollow.

Hereis ; k EPC  . (4)

This can be description with important inverse transcriptional process in the molecular biology. E and D isa ciphering functionandrecovered.ExistenceStructure ModelforGeneticcodonSystemisasfollowasFig-1.

2. THE CHARACTERISTICS OF THE GENETICAL CYCLE OF THE GENETIC CODON SYSTEM

2.1 The Blocklism of the Genetic Codon

(Identification)  isNucleotide,ciphersthatconsistofthe universallycipher,source.

Namely  is , , , {,,, {}} GCATguanincitosinadenintimin (5)

And so, n  is subsets that consist of the units which is n withnucleotidecipher’length.

Theuniversallycipher,space P andthecipherismicspace C is the genetic blocklismiccodon which consisted of n with nuclidicletter,lengthinthe n  .

If the size of the genetic block (the unit of the size of the genetic codon) is L, if the sort of the genetic codon I, the structure of the sentences of the universally letters of the geneticcodoncanbewrittenasfollow. i PnLu  (6)

The u isthelengthofthenon–cyclicgeneticblock,ciphers

(Identification) The cipherismic function of the genetic blockhavethesubstitutionofthecharacteristicsasfollow. Everycipherismicfunctionandrecoveredfunctionofevery genetic block owingtocorrespondthe recoveredcodonin everygeneticblockcodonis1:1mapping.

The most generally cipherismic function of the genetic blockcanbeidentifiedasfollow.

 issubsetthatconsistofthe4-nucleoticletterswith A, G, C, T thatConsistedonthegeneticcodon.

Let n is plus integer. If the universally letter, space and cipherismic space is all the space, body of the continuous function, and key, space is subset of the substitutions namely ()Sn  that consisted of the every 1:1 mapping existed in the space, body of the continuous function, all genetic ciphers is the genetic block, letters that consist of thelengthn.

Also,letterismicfunctiononthe ()Sn   isfollow.

Here f is transcriptionic function, and this is mapping the anyprocessingciphers V withthegeneticciphersthathave beentakenthecharacterπasfollow. () f VV  (8)

The recovering function corresponded on the upper formulaisasfollow.

Here 1 f is the function expressed the inverse transcriptionicprocess.

Fig -1:SchemaoftheExistenceStructureModelfor geneticcodonSystem

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In discussion on the biologic characters, this formula is as follow.

This Key, space of the genetic cipher’ system have the limitativevalue.

This space has the characters that taken the continuous function,spacebody ||n  .And,substitutionalgroupofthe genetic block, members are key, space Sn. The cipherismic functionandrecoveredfunctiononthe Sn   isidentified asfollow.

(Identification) There exist the characters on the genetic cipher,systemas follow.If mM  is taken thelimitational cycle e,nisanyinteger.Here,itisnextformula

/(,) d n memcden   (20)

Thisistakenthenextcharacters. /(,)/(,) ()()1 nemcdenenmcden mm (21)

  /, emcden isthedoubleofthecyclic n m

Letcycle K ofthe n m is ()1 nknk mm (22)

TheKey,spaceofthegeneticcodon(orgeneticletters)that consisted of the substitution is various recovered these geneticletterswithn-lawoftheintegersthattheeverykey includedinthe 0,1, 1 { , } n  .

2.2 The Cyclicity of the Genetic Ciphers

Let us the cyclicity of the genetic ciphers (namely, cyclic lawofthegeneticciphers)isidentified.

Thegeneticcipher,systemgenerallyconsistedofthecyclic geneticalCipher,system(exon)andthenon-cyclicgenetical cipher,system(intron).

(Identification) Let mM  , namely 1 me  , the positive integer(plusinteger)isthecycleoftheminthe M.

If ekn  isexisted,

 11memknmnkk (15)

Inversely,ifme=1and , 0 enrrn  ◥ ＜ (16) isexisted,here,itis 1 ()1renen mmmm (17)

Owing to the n is a most small positive(plus) integer that havebeentakenthe 1 mn  (18)

0 rn ,here, r=0,also,here,itis en  (19)

Therefore,cyclicityiscyclee,itisthe 3 e  with3-trilentic letters.

m isnumberoftheknotpointandnisthevulgarlengthof theuniversallyletters.

These characters are not existed on the characters on the geneticcipher,systemandthissizeisvarious.

Namely,theequalformula nked  (23) havebeentakentheinteger d. Therefore, (,)/(,) eed kd nmcdennmcden  (24) (,) e k mcden  (25) isexisted.

3. THE CHARACTERES ON THE DOUBLE DIVIDER, FORM OF THE DISTRICTGENETICS CIPHER’ SYSTEM.

3.1 Identification of the District Genetic Cipher System

In order to discussed the orbit (coordinate’ road) of the points on the parameter (time, integer etc) identification ofthegeneticcipher, systemisapplied.

If T is integer, subset Z or real number space R, X is distancespace,generalmapping ; fTXX  (26) is     ,() t xtxtT  (27) Everyregulatedtime tT  isdecidedthe ; t XX   (28)

Themapping ψ(t, x) canbewrittenthe t tT   ｛｜｝. (29)

(Identification) If T=Z or R is existed, X is the distance space,continuallymapping ; TXX   (30) isthegeneticletter’systemonthe X .

0 x I   (Here Ix isidenticalmapping) (31) ② ,( ()) x Ix x xX (32)

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③ , , () stst stX    (33)

If T=R isexisted, ; X  ｛｝ (34) iscontinuegeneticletter,system,if T=Z isexisted, ; X  ｛｝ (35) isdispersedgeneticletter’system.

Condition②meanthecontinuemapping       , , , StxStx (36)

Therefore, the genetic cipher’ system   , tx  is expressed theroadofthepoint

Bythecondition③, 0 iix I  (38) is existed, , I tT   is the inverse mapping of the mapping t

Bythecontinuouscondition, t isthehomeomorphism

If TZ  isexisted, 1 f    is n n f   (39) dispersed genetic cipher’ system is equalization the doubled-functionsystemthatidentifiedbythe     000 , , , nn nn XXxfxxfxnN  (40)

From this mean, the double-function’ system {,} n Xf is districtedgeneticcipher’system.

3.2 The characters on the double divider, form of the district genetic cipher’ system

Let’s discussed the changeable state of the parameters on thecyclicpointofthedistrictgeneticcipher, system     1 Fxxx    (41).

Among the fired points on the natural number n, the nonfixedpointsofthe 1 ()() 1 k xn F k   are n-cyclicpoints.

And on the derived function (fluxion) of the n-cyclic point 0X ofthe () F x  ,

0 () 1 n dFx dt   (42)

Then, x0 isthedrinking n-cyclicpoints.Namely,thedrawing stable n-cyclic points is existed in the dispersed genetic cipher’system.

If the drinking n-cyclic points, and on, drinking stable ncyclicpointsis

0 () 1 n dFx dt   (43).

Here, x0 is the non-drinking (or scattered) points of the ()Fx  or non-stable n-cyclic points. If the all any natural number is existed in the 1 nn     , the dispersed genetical letter’ system ()Fx  is taken up the drawing stable 2 n –cyclic points with 2 of the 2n that expressed which 2n-1 –cyclic points existed every 2. The coordination ofthe ()Fx  havethecharacteristicdrawingthesepoints.

(Identification)Ifμisincreasingfromoneverycyclicpoint, 2-cyclic points is appeared, this phenomenon is identified astothecyclic–double.

The parameter 12 , , , , n that was formed the branch identified as to the cyclic double branches of the dispersed genetics cipher’ system of the ()Fx  and the progression {} n isthebranchtarget.

If the distance between two-cyclic points appeared on the one cyclic point in branch point n is n d , the cyclic double-branch characteristic is as follow in the dispersed geneticcipher’system.

(44)

Here,  is a limitation of {} n . The constant δ, α is number, the correlation form is as follow on the any biologicalgeneticcipher, systemformingthecyclicdoublebranch.

Namely,

(47)

If the branch-value of the units of the genetic cipher’ systemcountedtothecomputer,generalitisasfollow.

μ0=1,μ1=3,μ2=3.44948…,μ3=3.54409…

μ4=3.564407…,μ5=3.56989…,μ6=3.569692…,

μ7=3.56989…,μ8=3.56992…

Therefore, 3.569946   is. The point  have the very many cyclic points. To Fig-2 the fixed points and cyclic pointsindispersedgenetic letter’systemonthechangeof the parameter in the coordinate system is identified the york-pig.

Thegeneticcipher’systemthatconsistofthevariouslystep making cyclic double-york points of the districted genetic cipher’ system. Districted genetic cipher’ system can be divided the codon, cistron, complon, scripton, segregon, remulon etc. on owing to   1, , i i   . This have been

International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056

Volume: 12 Issue: 05 | May 2025 www.irjet.net p-ISSN: 2395-0072

shows us these characteristics to existed in districted the geneticcipher’system(Fig-2)

Fig-2: Thecyclicdoublebranchpointsofthedispersed geneticcipher’system.

3. DISCUSSION

This genetic cipher, system consist of the 5-subset,   ,,,, OPCKED

Namely, there is a P ; universally letters, space, C ; cipher, space, K ; key space, E ; cipherismic function, D ; recoveredfunction.

The genetic cipher, system is marked the structure of the existencemodel , , , , , , MPCKEDP  （）

Here, M istheuniversallysourcespace,thegeneticcipher, sentence that is contained in DNA chains. P is the subset of the cipher’ information space. The genetic cipher, informationsentenceisexistedinthemendedRNAchains transcriptinginDNAchainsofeverymember.

C istheshortedgeneticcipher, arraywithprocessedRNA chains.

This group have the , ; kk EEkKEPC  ｛｜｝ , characteristics.

Here is K; subset of the keyspace, E; cipherismic function, D isrecoveredfunction, P’;subsetoftheuniversallyletter, informationspace.

If the length of the genetic block (genetic unit) is L, if the sortofthegeneticunits I,thestructureofthegeneticletter, sentenceisasfollow. i PnLu 

Here, u islengthofthenon-cyclicgeneticblock’letters.The cyclicityofthegeneticciphersis , 0 enrrn  .

The districted genetic cipher, system have the characteristics of the cyclic double-branch(york) in the understep.

Namely,

(nisveryenoughbig)

is.

Therefore,thedistrictgeneticcipher, systemconsistofthe thusvalue n

Ifthismethod has beenused,itisexistedthecodon,cistron, complon, scripton, segregon, remulon etc. on the genetic cipher’system.

REFERENCES

[1] Nelson D, Principle of Biochemistry (3rd et) worth Publishers,2000.

[2] Francois Lureat le chaos, Universitaires de France, 1999

[3] Tom, W. B. Kibble, Frank, H. Berkshire, Classical Nechanics, ImperialCollegeLondon,2004

[4] A. Ruina, R. Pretap, Introduction to Statics and Dynamics,OxofordUniversity,2002