CoV2D Browser

6PNW_1	4ASD_1	7KJA_1	Letter	Amino acid
4	9	14	Q	Glutamine
4	25	25	E	Glutamic acid
5	27	30	G	Glycine
4	16	28	I	Isoleucine
3	23	26	K	Lycine
0	22	25	A	Alanine
3	22	22	R	Arginine
4	9	12	N	Asparagine
2	16	14	F	Phenylalanine
1	5	6	W	Tryptophan
1	12	15	Y	Tyrosine
2	21	28	V	Valine
1	21	20	D	Aspartic acid
2	16	8	H	Histidine
4	19	20	P	Proline
1	40	29	L	Leucine
0	10	17	M	Methionine
8	9	4	C	Cysteine
8	15	25	S	Serine
5	16	22	T	Threonine

Protein code \(c\)	LZ-complexity \(\mathrm{LZ}(w)\)	Length \(n=\|w\|\)	\(\frac{\mathrm{LZ}(w)}{n /\log_{20} n}\)	\(p_w(1)\)	\(p_w(2)\)	\(p_w(3)\)	Sequence \(w=f(c)\)
6PNW , Knot	35	62	0.77	36	55	60	RICFNHQSSQPQTTKTCSPGESSCYHKQWSDFRGTIIERGCGCPTVKPGINLSCCESEVCNN
4ASD , Knot	148	353	0.82	40	210	327	MGGHHHHHHGLEVLFQGPRTVKRANGGELKTGYLSIVMDPDELPLDEHCERLPYDASKWEFPRDRLKLGKPLGRGAFGQVIEADAFGIDKTATCRTVAVKMLKEGATHSEHRALMSELKILIHIGHHLNVVNLLGACTKPGGPLMVIVEFCKFGNLSTYLRSKRNEFVPYKVAPEDLYKDFLTLEHLICYSFQVAKGMEFLASRKCIHRDLAARNILLSEKNVVKICDFGLARDIYKDPDYVRKGDARLPLKWMAPETIFDRVYTIQSDVWSFGVLLWEIFSLGASPYPGVKIDEEFCRRLKEGTRMRAPDYTTPEMYQTMLDCWHGEPSQRPTFSELVEHLGNLLQANAQQD
7KJA , Knot	166	390	0.84	40	235	368	GPGDPHTYEDPNQAVLKFTTEIHPSCVTRQKVIGAGEFGEVYKGMLKTSSGKKEVPVAIKTLKAGYTEKQRVDFLGEAGIMGQFSHHNIIRLEGVISKYKPMMIITEYMENGALDKFLREKDGEFSVLQLVGMLRGIAAGMKYLANMNYVHRDLAARNILVNSNLVCKVSDFGLSRVLEDDPEATYTTSGGKIPIRWTAPEAISYRKFTSASDVWSFGIVMWEVMTYGERPYWELSNHEVMKAINDGFRLPTPMDCPSAIYQLMMQCWQQERARRPKFADIVSILDKLIRAPDSLKTLADFDPRVSIRLPSTSGSEGVPFRTVSEWLESIKMQQYTEHFMAAGYTAIEKVVQMTNDDIKRIGVRLPGHQKRIAYSLLGLKDQVNTVGIPI

Protein code \(c\)

LZ-complexity \(\mathrm{LZ}(w)\)

Length \(n=|w|\)

\(\frac{\mathrm{LZ}(w)}{n /\log_{20} n}\)

\(p_w(1)\)

\(p_w(2)\)

\(p_w(3)\)

Sequence \(w=f(c)\)

6PNW , Knot

0.77

RICFNHQSSQPQTTKTCSPGESSCYHKQWSDFRGTIIERGCGCPTVKPGINLSCCESEVCNN

4ASD , Knot

148

353

0.82

210

327

MGGHHHHHHGLEVLFQGPRTVKRANGGELKTGYLSIVMDPDELPLDEHCERLPYDASKWEFPRDRLKLGKPLGRGAFGQVIEADAFGIDKTATCRTVAVKMLKEGATHSEHRALMSELKILIHIGHHLNVVNLLGACTKPGGPLMVIVEFCKFGNLSTYLRSKRNEFVPYKVAPEDLYKDFLTLEHLICYSFQVAKGMEFLASRKCIHRDLAARNILLSEKNVVKICDFGLARDIYKDPDYVRKGDARLPLKWMAPETIFDRVYTIQSDVWSFGVLLWEIFSLGASPYPGVKIDEEFCRRLKEGTRMRAPDYTTPEMYQTMLDCWHGEPSQRPTFSELVEHLGNLLQANAQQD

7KJA , Knot

166

390

0.84

235

368

GPGDPHTYEDPNQAVLKFTTEIHPSCVTRQKVIGAGEFGEVYKGMLKTSSGKKEVPVAIKTLKAGYTEKQRVDFLGEAGIMGQFSHHNIIRLEGVISKYKPMMIITEYMENGALDKFLREKDGEFSVLQLVGMLRGIAAGMKYLANMNYVHRDLAARNILVNSNLVCKVSDFGLSRVLEDDPEATYTTSGGKIPIRWTAPEAISYRKFTSASDVWSFGIVMWEVMTYGERPYWELSNHEVMKAINDGFRLPTPMDCPSAIYQLMMQCWQQERARRPKFADIVSILDKLIRAPDSLKTLADFDPRVSIRLPSTSGSEGVPFRTVSEWLESIKMQQYTEHFMAAGYTAIEKVVQMTNDDIKRIGVRLPGHQKRIAYSLLGLKDQVNTVGIPI

Let \(P_w(n)\) be the set of distinct subwords (intervals) in a word \(w\). Let \(p_w(n)\) be the cardinality of \(P_w(n)\). Let \(f(c)\) be the sequence in FASTA with 4-symbol Protein Data Bank code \(c\).

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Pair	\(Z_2\)	Length of longest common subsequence
6PNW_1,4ASD_1	205	3
6PNW_1,7KJA_1	230	3
4ASD_1,7KJA_1	167	10

Status	Protein1	Protein2	d	d₁/2
Query variables	6PNW_1	4ASD_1	138	80.5

In notation analogous to [Theorem 16, Kjos-Hanssen, Niraula and Yoon (2022)],
\[ \delta= \alpha \mathrm{min} + (1-\alpha) \mathrm{max}= \begin{cases} d &\alpha=0,\\ d_1/2 &\alpha=1/2 \end{cases} \]

Graphviz Engine:

digraph G {
							subgraph cluster_theyellow {
								G [style=filled; fillcolor=yellow];
								A [style=filled; fillcolor=yellow];
								V [style=filled; fillcolor=yellow];
								C [style=filled; fillcolor=yellow];
								P [style=filled; fillcolor=yellow];
								L [style=filled; fillcolor=yellow];
								I [style=filled; fillcolor=yellow];
								M [style=filled; fillcolor=yellow];
								W [style=filled; fillcolor=yellow];
								F [style=filled; fillcolor=yellow];
							}
							subgraph cluster_thegreen {
								K [style=filled; fillcolor=green];
								R [style=filled; fillcolor=green];
								H [style=filled; fillcolor=green];
							}
							subgraph cluster_theblue {
								S [style=filled; fillcolor=blue];
								T [style=filled; fillcolor=blue];
								Y [style=filled; fillcolor=blue];
								N [style=filled; fillcolor=blue];
								Q [style=filled; fillcolor=blue];
							}
							subgraph cluster_thepurple {
								D [style=filled; fillcolor=purple];
								E [style=filled; fillcolor=purple];
							}
		
							R->I
							I->C
							C->F
							F->N
							N->H
							H->Q
							Q->S
							S->S
							S->Q
							Q->P
							P->Q
							Q->T
							T->T
							T->K
							K->T
							T->C
							C->S
							S->P
							P->G
							G->E
							E->S
							S->C
							C->Y
							Y->H
							H->K
							K->Q
							Q->W
							W->S
							S->D
							D->F
							F->R
							R->G
							G->T
							T->I
							I->I
							I->E
							E->R
							G->C
							C->G
							C->P
							P->T
							T->V
							V->K
							K->P
							G->I
							I->N
							N->L
							L->S
							C->C
							C->E
							S->E
							E->V
							V->C
							C->N
							N->N
						}

Graphviz Engine:

CoV2D BrowserTM

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