CoV2D Browser

5CCH_1	6YQS_1	4WVM_1	Letter	Amino acid
1	0	10	W	Tryptophan
7	7	36	D	Aspartic acid
2	5	39	G	Glycine
6	7	58	L	Leucine
5	11	55	K	Lycine
2	6	43	T	Threonine
7	9	47	A	Alanine
6	3	29	R	Arginine
4	5	46	E	Glutamic acid
6	4	49	V	Valine
2	4	33	N	Asparagine
7	4	32	Q	Glutamine
0	4	15	H	Histidine
0	6	28	P	Proline
1	5	29	Y	Tyrosine
0	1	7	C	Cysteine
1	6	36	I	Isoleucine
1	7	12	M	Methionine
1	8	38	F	Phenylalanine
4	4	61	S	Serine

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 \(w=f(c)\)
5CCH , Knot	36	63	0.79	34	57	61	GSNRRLQQTQAQVDEVVDIMRVNVDKVLERDQKLSELDDRADALQAGASQFETSAAKLKRKYW
6YQS , Knot	57	106	0.83	38	94	104	GAENESTPIQQLLEHFLRQLQRKDPHGFFAFPVTDAIAPGYSMIIKHPMDFGTMKDKIVANEYKSVTEFKADFKLMCDNAMTYNRPDTVYYKLAKKILHAGFKMMS
4WVM , Knot	278	703	0.86	40	288	664	MSSDLVMPALGRPFTLGMLYDARREKLIPGFSLFGDETLQKYQSSNAQRSSEFKIVASDSTESKSSAMDIEASLGVSFLGGLVEVGGSAKYLNNTKKYQNQSRVTLKYKATTVYKQFTAPPGTVTVQETAITEKGLATHVVTSILYGANAFFVSDSDKVEDTNLQDIQGKMEAAIKKIPTISIEGSASVQLTDEEKSLASNLSCKFHGDFLLESLPTTFEDAVKTYQTLPTLIGEDGANSVPMKVWLAPLKSYNSKAQQLIQEINVSKVRRIHTTLEELHKLKRRANEAMDVKLVQRIPLIHDKISNFQQIFQDYMLTVQKKIAEKLPLVRAGTESEQSLQKIIDDRAQSPFSNEKVSKWLDAVEREIAVLKSCAGMVEGTQAKFVSNQTELDREVLVGKVKHAVCFIFTSVERNDPYLKVLSDYWESPPSNNAKDVAPSTEDKWCFSTEVVLKMQQRAQTFCDHVNDFEKSRNVGFFITALENGKFQGASIYYYKEGSLATQDFTFPRMPFVQGYKKRSDLLWYACDLTFDRNTINNWISLSDNDTFAASEHGKRQNYPKHPERFVSFNQVLCNEGLMGKHYWEVEWNGYIDVGIAYISIPRKEIDFASAFGYNTYSWVLSYNPKIGYIERHKKREYNVRAPNPGFKRLGLFLDWRYGSISFYAVSSDEVHHLHTFKTKFTEPVYPAFSIGPAGNHGTLRLL

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 \(w=f(c)\)

5CCH , Knot

0.79

GSNRRLQQTQAQVDEVVDIMRVNVDKVLERDQKLSELDDRADALQAGASQFETSAAKLKRKYW

6YQS , Knot

106

0.83

104

GAENESTPIQQLLEHFLRQLQRKDPHGFFAFPVTDAIAPGYSMIIKHPMDFGTMKDKIVANEYKSVTEFKADFKLMCDNAMTYNRPDTVYYKLAKKILHAGFKMMS

4WVM , Knot

278

703

0.86

288

664

MSSDLVMPALGRPFTLGMLYDARREKLIPGFSLFGDETLQKYQSSNAQRSSEFKIVASDSTESKSSAMDIEASLGVSFLGGLVEVGGSAKYLNNTKKYQNQSRVTLKYKATTVYKQFTAPPGTVTVQETAITEKGLATHVVTSILYGANAFFVSDSDKVEDTNLQDIQGKMEAAIKKIPTISIEGSASVQLTDEEKSLASNLSCKFHGDFLLESLPTTFEDAVKTYQTLPTLIGEDGANSVPMKVWLAPLKSYNSKAQQLIQEINVSKVRRIHTTLEELHKLKRRANEAMDVKLVQRIPLIHDKISNFQQIFQDYMLTVQKKIAEKLPLVRAGTESEQSLQKIIDDRAQSPFSNEKVSKWLDAVEREIAVLKSCAGMVEGTQAKFVSNQTELDREVLVGKVKHAVCFIFTSVERNDPYLKVLSDYWESPPSNNAKDVAPSTEDKWCFSTEVVLKMQQRAQTFCDHVNDFEKSRNVGFFITALENGKFQGASIYYYKEGSLATQDFTFPRMPFVQGYKKRSDLLWYACDLTFDRNTINNWISLSDNDTFAASEHGKRQNYPKHPERFVSFNQVLCNEGLMGKHYWEVEWNGYIDVGIAYISIPRKEIDFASAFGYNTYSWVLSYNPKIGYIERHKKREYNVRAPNPGFKRLGLFLDWRYGSISFYAVSSDEVHHLHTFKTKFTEPVYPAFSIGPAGNHGTLRLL

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 \(c\).

Newick tree

Pair	\(Z_2\)	Length of longest common subsequence
5CCH_1,6YQS_1	127	2
5CCH_1,4WVM_1	247	4
6YQS_1,4WVM_1	220	4

Status	Protein1	Protein2	d	d₁/2
Query variables	5CCH_1	6YQS_1	48	38

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];
							}
		
							G->S
							S->N
							N->R
							R->R
							R->L
							L->Q
							Q->Q
							Q->T
							T->Q
							Q->A
							A->Q
							Q->V
							V->D
							D->E
							E->V
							V->V
							D->I
							I->M
							M->R
							R->V
							V->N
							N->V
							D->K
							K->V
							V->L
							L->E
							E->R
							R->D
							D->Q
							Q->K
							K->L
							L->S
							S->E
							E->L
							L->D
							D->D
							D->R
							R->A
							A->D
							D->A
							A->L
							A->G
							G->A
							A->S
							S->Q
							Q->F
							F->E
							E->T
							T->S
							S->A
							A->A
							A->K
							L->K
							K->R
							R->K
							K->Y
							Y->W
						}

Graphviz Engine:

CoV2D BrowserTM

Newick tree

CoV2D Browser^TM