CoV2D Browser

7CKD_1	4EBE_1	8VQC_1	Letter	Amino acid
2	52	169	L	Leucine
1	18	65	P	Proline
3	17	91	D	Aspartic acid
3	22	81	G	Glycine
1	11	26	H	Histidine
0	22	55	Q	Glutamine
1	12	125	F	Phenylalanine
3	11	67	Y	Tyrosine
0	22	104	A	Alanine
1	22	68	N	Asparagine
4	11	29	C	Cysteine
0	12	52	M	Methionine
2	31	75	E	Glutamic acid
4	20	119	I	Isoleucine
7	30	68	K	Lycine
2	0	32	W	Tryptophan
4	40	130	V	Valine
0	19	82	R	Arginine
1	33	89	S	Serine
0	15	69	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 \(w=f(c)\)
7CKD , Knot	26	39	0.81	30	36	37	GEDIGHIKYCGIVDDCYKSKKPLFKIWKCVENVCVLWYK
4EBE , Knot	175	420	0.84	38	228	401	MELADVGAAASSQGVHDQVLPTPNASSRVIVHVDLDCFYAQVEMISNPELKDKPLGVQQKYLVVTCNYEARKLGVKKLMNVRDAKEKCPQLVLVNGEDLTRYREMSYKVTELLEEFSPVVERLGFDENFVDLTEMVEKRLQQLQSDELSAVTVSGHVYNNQSINLLDVLHIRLLVGSQIAAEMREAMYNQLGLTGCAGVASNKLLAKLVSGVFKPNQQTVLLPESCQHLIHSLNHIKEIPGIGYKTAKCLEALGINSVRDLQTFSPKILEKELGISVAQRIQKLSFGEDNSPVILSGPPQSFSEEDSFKKCSSEVEAKNKIEELLASLLNRVCQDGRKPHTVRLIIRRYSSEKHYGRESRQCPIPSHVIQKLGTGNYDVMTPMVDILMKLFRNMVNVKMPFHLTLLSVCFCNLKALNTAK
8VQC , Knot	549	1596	0.84	40	364	1300	MASWSHPQFEKGGGARGGSGGGSWSHPQFEKGFDYKDDDDKGTMADNSPLIREERQRLFRPYTRAMLTAPSAQPAKENGKTEENKDNSRDKGRGANKDRDGSAHPDQALEQGSRLPARMRNIFPAELASTPLEDFDPFYKNKKTFVVVTKAGDIFRFSGEKSLWMLDPFTPIRRVAISTMVQPIFSYFIMITILIHCIFMIMPATQTTYILELVFLSIYTIEVVVKVLARGFILHPFAYLRDPWNWLDFLVTLIGYITLVVDLGHLYALRAFRVLRSWRTVTIVPGWRTIVDALSLSITSLKDLVLLLLFSLFVFAVLGLQIYMGVLTQKCVKHFPADGSWGNFTDERWFNYTSNSSHWYIPDDWIEYPLCGNSSGAGMCPPGYTCLQGYGGNPNYGYTSFDTFGWAFLSVFRLVTLDYWEDLYQLALRSAGPWHILFFIIVVFYGTFCFLNFILAVVVMSYTHMVKRADEEKAAERELKKEKKAASVANNTANGQEQTTIEMNGDEAVVIDNNDQAARQQSDPETPAPSVTQRLTDFLCVWDCCVPWQKLQGAIGAVVLSPFFELFIAVIIVLNITFMALDHHDMNIEFERILRTGNYIFTSIYIVEAVLKIIALSPKFYFKDSWNVFDFIIVVFAILELGLEGVQGLSVFRSFRLLRVFRLAKFWPTLNNFMSVMTKSYGAFVNVMYVMFLLLFIFAIIGMQLFGMNYIDNMERFPDGDLPRWNFTDFLHSFMIVFRALCGEWIESMWDCMLVGDWSCIPFFVAVFFVGNLVILNLLIALLLNNYGSFCTSPTSDEEDSKDEDALAQIVRIFKRFKPNLNAVKLSPMKPDSEDIVESQEIQGNNIADAEDVLAGEFPPDCCCNAFYKCFPSRPARDSSVQRMWSNIRRVCFLLAKNKYFQKFVTAVLVITSVLLALEDIYLPQRPVLVNITLYVDYVLTAFFVIEMIIMLFAVGFKKYFTSKWYWLDFIVVVAYLLNFVLMCAGIEALQTLRLLRVFRLFRPLSKVNGMQVVTSTLVEAVPHIFNVILVGIFFWLVFAIMGVQLFAGKFYKCVDENSTVLSHEITMDRNDCLHENYTWENSPMNFDHVGNAYLSLLQVATFKGWLQIMNDAIDSREVHKQPIRETNIYMYLYFIFFIVFGSFFILKLFVCILIDIFRQQRRKAEGLSATDSRTQLIYRRAVMRTMSAKPVKRIPKPTCHPQSLMYDISVNRKFEYTMMILIILNVAVMAIDHYGQSMEFSEVLDYLNLIFIIIFFVECVIKVSGLRHHYFKDPWNIIDFLYVVLAIAGLMLSDVIEKYFISPTLLRILRILRVGRLLRYFQSARGMRLLLLALRKALRTLFNVSFLLFVIMFVYAVFGMEFFMHIRDAGAIDDVYNFKTFGQSIILLFQLATSAGWDGVYFAIANEEDCRAPDHELGYPGNCGSRALGIAYLVSYLIITCLVVINMYAAVILDYVLEVYEDSKEGLTDDDYDMFFEVWQQFDPEATQYIRYDQLSELLEALQPPLQVQKPNKYKILSMNIPICKDDHIFYKDVLEALVKDVFSRRGSPVEAGDVQAPNVDEAEYKPVSSTLQRQREEYCVRLIQNAWRKHKQQN

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 \(w=f(c)\)

7CKD , Knot

0.81

GEDIGHIKYCGIVDDCYKSKKPLFKIWKCVENVCVLWYK

4EBE , Knot

175

420

0.84

228

401

MELADVGAAASSQGVHDQVLPTPNASSRVIVHVDLDCFYAQVEMISNPELKDKPLGVQQKYLVVTCNYEARKLGVKKLMNVRDAKEKCPQLVLVNGEDLTRYREMSYKVTELLEEFSPVVERLGFDENFVDLTEMVEKRLQQLQSDELSAVTVSGHVYNNQSINLLDVLHIRLLVGSQIAAEMREAMYNQLGLTGCAGVASNKLLAKLVSGVFKPNQQTVLLPESCQHLIHSLNHIKEIPGIGYKTAKCLEALGINSVRDLQTFSPKILEKELGISVAQRIQKLSFGEDNSPVILSGPPQSFSEEDSFKKCSSEVEAKNKIEELLASLLNRVCQDGRKPHTVRLIIRRYSSEKHYGRESRQCPIPSHVIQKLGTGNYDVMTPMVDILMKLFRNMVNVKMPFHLTLLSVCFCNLKALNTAK

8VQC , Knot

549

1596

0.84

364

1300

MASWSHPQFEKGGGARGGSGGGSWSHPQFEKGFDYKDDDDKGTMADNSPLIREERQRLFRPYTRAMLTAPSAQPAKENGKTEENKDNSRDKGRGANKDRDGSAHPDQALEQGSRLPARMRNIFPAELASTPLEDFDPFYKNKKTFVVVTKAGDIFRFSGEKSLWMLDPFTPIRRVAISTMVQPIFSYFIMITILIHCIFMIMPATQTTYILELVFLSIYTIEVVVKVLARGFILHPFAYLRDPWNWLDFLVTLIGYITLVVDLGHLYALRAFRVLRSWRTVTIVPGWRTIVDALSLSITSLKDLVLLLLFSLFVFAVLGLQIYMGVLTQKCVKHFPADGSWGNFTDERWFNYTSNSSHWYIPDDWIEYPLCGNSSGAGMCPPGYTCLQGYGGNPNYGYTSFDTFGWAFLSVFRLVTLDYWEDLYQLALRSAGPWHILFFIIVVFYGTFCFLNFILAVVVMSYTHMVKRADEEKAAERELKKEKKAASVANNTANGQEQTTIEMNGDEAVVIDNNDQAARQQSDPETPAPSVTQRLTDFLCVWDCCVPWQKLQGAIGAVVLSPFFELFIAVIIVLNITFMALDHHDMNIEFERILRTGNYIFTSIYIVEAVLKIIALSPKFYFKDSWNVFDFIIVVFAILELGLEGVQGLSVFRSFRLLRVFRLAKFWPTLNNFMSVMTKSYGAFVNVMYVMFLLLFIFAIIGMQLFGMNYIDNMERFPDGDLPRWNFTDFLHSFMIVFRALCGEWIESMWDCMLVGDWSCIPFFVAVFFVGNLVILNLLIALLLNNYGSFCTSPTSDEEDSKDEDALAQIVRIFKRFKPNLNAVKLSPMKPDSEDIVESQEIQGNNIADAEDVLAGEFPPDCCCNAFYKCFPSRPARDSSVQRMWSNIRRVCFLLAKNKYFQKFVTAVLVITSVLLALEDIYLPQRPVLVNITLYVDYVLTAFFVIEMIIMLFAVGFKKYFTSKWYWLDFIVVVAYLLNFVLMCAGIEALQTLRLLRVFRLFRPLSKVNGMQVVTSTLVEAVPHIFNVILVGIFFWLVFAIMGVQLFAGKFYKCVDENSTVLSHEITMDRNDCLHENYTWENSPMNFDHVGNAYLSLLQVATFKGWLQIMNDAIDSREVHKQPIRETNIYMYLYFIFFIVFGSFFILKLFVCILIDIFRQQRRKAEGLSATDSRTQLIYRRAVMRTMSAKPVKRIPKPTCHPQSLMYDISVNRKFEYTMMILIILNVAVMAIDHYGQSMEFSEVLDYLNLIFIIIFFVECVIKVSGLRHHYFKDPWNIIDFLYVVLAIAGLMLSDVIEKYFISPTLLRILRILRVGRLLRYFQSARGMRLLLLALRKALRTLFNVSFLLFVIMFVYAVFGMEFFMHIRDAGAIDDVYNFKTFGQSIILLFQLATSAGWDGVYFAIANEEDCRAPDHELGYPGNCGSRALGIAYLVSYLIITCLVVINMYAAVILDYVLEVYEDSKEGLTDDDYDMFFEVWQQFDPEATQYIRYDQLSELLEALQPPLQVQKPNKYKILSMNIPICKDDHIFYKDVLEALVKDVFSRRGSPVEAGDVQAPNVDEAEYKPVSSTLQRQREEYCVRLIQNAWRKHKQQN

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
7CKD_1,4EBE_1	214	3
7CKD_1,8VQC_1	334	3
4EBE_1,8VQC_1	160	4

Status	Protein1	Protein2	d	d₁/2
Query variables	7CKD_1	4EBE_1	163	89

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

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->E
							E->D
							D->I
							I->G
							G->H
							H->I
							I->K
							K->Y
							Y->C
							C->G
							G->I
							I->V
							V->D
							D->D
							D->C
							C->Y
							Y->K
							K->S
							S->K
							K->K
							K->P
							P->L
							L->F
							F->K
							K->I
							I->W
							W->K
							K->C
							C->V
							V->E
							E->N
							N->V
							V->C
							V->L
							L->W
							W->Y
						}

Graphviz Engine:

CoV2D BrowserTM

Newick tree

CoV2D Browser^TM