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Int.J.Mol.Sci.2022,23,11486.https://doi.org/10.3390/ijms231911486www.mdpi.com/journal/ijms
Article
CellularBiogeneticLawandItsDistortionbyProtein
Interactions:APossibleUnifiedFrameworkforCancerBiology
andRegenerativeMedicine
AlexanderE.Vinogradov*andOlgaV.Anatskaya
InstituteofCytology,RussianAcademyofSciences,194064St.Petersburg,Russia
*Correspondence:aevin@incras.ru
Abstract:Thebiogeneticlaw(recapitulationlaw)statesthatontogenesisrecapitulatesphylogenesis.
However,thislawcanbedistortedbythemodificationofdevelopment.Weshowedtherecapitula‐
tionofphylogenesisduringthedifferentiationofvariouscelltypes,usingameta‐analysisofhuman
single‐celltranscriptomes,withthecontrolforcellcycleactivityandtheimprovedphylostratigra‐
phy(genedating).Themultipotentprogenitors,differentiatedfrompluripotentembryonicstem
cells(ESC),showedthedownregulationofunicellular(UC)genesandtheupregulationofmulticel‐
lular(MC)genes,butonlyinthecaseofthoseoriginatinguptotheEuteleostomi(bonyvertebrates).
Thispicturestrikinglyresemblestheevolutionaryprofileofregulatorygeneexpansionduetogene
duplicationinthehumangenome.Therecapitulationofphylogenesisintheinducedpluripotent
stemcells(iPSC)duringtheirdifferentiationresemblestheESCpattern.Theunipotenterythroblasts
differentiatingintoerythrocytesshowedthedownregulationofUCgenesandtheupregulationof
MCgenesoriginatingaftertheEuteleostomi.TheMCinteractomeneighborhoodofaproteinen‐
codedbyaUCgenereversesthegeneexpressionpattern.Thefunctionalanalysisshowedthatthe
evolvedenvironmentoftheUCproteinsistypicalforproteinmodifiersandsignaling‐relatedpro‐
teins.Besidesafundamentalaspect,thisapproachcanprovideaunifiedframeworkforcancerbi‐
ologyandregenerative/rejuvenationmedicinebecauseoncogenesiscanbedefinedasanatavistic
reversaltoaUCstate,whileregenerationandrejuvenationrequireanontogeneticreversal.
Keywords:celldifferentiation;genephylostratigraphy;geneexpression;interactome;embryonic
stemcells;inducedpluripotentstemcells;recapitulationlaw;Heckel’slaw;humans;wholegenome
duplication;evolutionarymedicine
1.Introduction
Thebiogeneticlaw(recapitulationlaw,vonBaer’slaw,Heckel’slaw)statesthaton‐
togenesisrecapitulatesphylogenesis[1–3].Thislawassumesa‘terminaladdition’when
recentlyevolvedfeaturesareaddedatthelaststagesofdevelopment,nearingtheadult
state[4].However,recapitulationcanbedistortedbyevolutionarymodificationsappear‐
ingatanydevelopmentalstage,especiallybyembryonicadaptations[1,5].Foralong
time,thishasbeenadebatedtopic;however,recently,theconceptofontogeneticrecapit‐
ulationhasacquirednewsupportfrommolecularandanatomicalstudies[1,3,4].Cur‐
rently,thebiogeneticlawisbecomingespeciallyimportantbecauseoftheatavistictheory
ofoncogenesis,whichsuggeststhatcancerisanevolutionaryreversaltoaunicellular
state[6–10].
Thegenesofunicellular(UC)originareoverexpressedincancertissues,whereasthe
genesappearinginthemulticellular(MC)evolutionarystagesaredownregulated[11–
13].Thehumaninteractome(globalproteininteractionnetwork)containsgiantclusters,
oneofwhichisstronglyenrichedwiththegenesofUCoriginandcorresponding
Citation:Vinogradov,A.E.;
Anatskaya,O.V.CellularBiogenetic
LawandItsDistortionbyProtein
Interactions:APossibleUnified
FrameworkforCancerBiologyand
RegenerativeMedicine.Int.J.Mol.
Sci.2022,23,11486.https://doi.org/
10.3390/ijms231911486
AcademicEditor:CristoforoComi,
BenoitGauthier,DimitriosH.
RoukosandAlfredoFusco
Received:29August2022
Accepted:26September2022
Published:29September2022
Publisher’sNote:MDPIstaysneu‐
tralwithregardtojurisdictional
claimsinpublishedmapsandinstitu‐
tionalaffiliations.
Copyright:©2022bytheauthors.Li‐
censeeMDPI,Basel,Switzerland.
Thisarticleisanopenaccessarticle
distributedunderthetermsandcon‐
ditionsoftheCreativeCommonsAt‐
tribution(CCBY)license(https://cre‐
ativecommons.org/licenses/by/4.0/).
Int.J.Mol.Sci.2022,23,114862of18
functions,whiletheothersareenrichedwiththegenesofMCoriginandtheirfunctions,
whichsuggeststheexistenceofanMC/UCcontrastincellularnetworks[14].Thegenes
downregulatedwithhumanagingareenrichedintheUCcluster,whereastheupregu‐
latedgenesareoverrepresentedintheMCcluster.Theclustersshowdenserinteractions
withinthemthanbetweenthem;therefore,theycanserveasattractors(stablestatesof
dynamicsystems)forcellularprograms.Importantly,theUCclusterhasahigherin‐
side/outsideconnectionratiocomparedwiththeMCclusters(i.e.,itisdenser),whichsug‐
gestsastrongerattractoreffectandmayexplainwhythecellsofMCorganismsareprone
tooncogenesis(reversaltotheUCstate)[14].
TheUCclusterisupregulatedinhumancancers,whichwasshowninthecaseofthe
single‐celltranscriptomesofvariouscancertypeswiththecontrolofthecellcycleactivity
[15].Theexpressionofgenesinvolvedinthecellcycleiscorrelatedwiththeexpressionof
UCgenes,eveniftheoverlappedgenesareremoved;therefore,thecontrolofthecellcycle
activityisnecessaryforthedemonstrationofevolutionaryreversalincancercells.These
datasuggestthatoncogenesisisnotjustthealterationofafewgenesbuttheswitchto
ancientunicellularprograms.Therefore,thecomparisonofcancercellswiththeorgan‐
ismsbelongingtotheUCevolutionarystagemayhelpustoelucidatetheetiologyofdis‐
easesandagingandeventosuggestpossibleremedies.Forinstance,certainunicellular‐
specificdrugscanbeappliedforthetreatmentofcancer[16,17].Certainotherdiseases
canalsobeunderstoodasaresultofevolutionaryreversal[4].Thegeneexpressionshift
towardsearlierevolutionarystageswasalsoobservedinthepolyploidizationofsomatic
cells,whichcanbeconsideredastheactivationofthecellemergencyreserveunderstress‐
fulconditions[18].
Thebiogeneticprinciplemayalsobeimportantforregenerative/rejuvenationmedi‐
cine,whichisintrinsicallyintertwinedwithcancerbiology.Themaincontradictionof
multicellularity(MCM)isthatbetweenthecellularandorganismallevels[14].Thecell
pluripotencyandproliferativepotentialarevitalforthehealthydevelopmentandlongev‐
ityofMCorganismsifheldincheck.Inthiscase,theactivityoftheUClevelpromotesthe
organism’svitality.Incontrast,uncheckedunicellularityresultsinoncogenesiswhenthe
cellstendtobehaveasindependentevolutionaryunits[8,16,19].Inthiscase,theactivity
oftheUClevelunderminestheorganism’svitality.Themainproblemfortheapplication
ofstemcelltechnologyinregenerativemedicineisthequestionofhowtoavoidoncogen‐
esis[20,21].Thesetwooppositeforces—promotionvs.suppressionoftheMCorganism’s
vitalitybytheactivityoftheUClevel—areencapsulatedbytheterm‘MCM’.Asanexam‐
pleoftheUC/MCcontrastincellularnetworks,thetotalpluripotencysignature(PluriNet)
isenrichedintheUCgiantcluster,whereasthegenescontrollingpluripotency(theKEGG
pathway)areenrichedintheMCcluster[14].
Theatavistictheoryofcancerentailsthatthestudyofthebiogeneticlawatthecellu‐
larlevelisespeciallyimportant.Beforethestudyofapathology,itisnecessarytoknow
thebasicsofthenormaldevelopment,i.e.,howtheevolutionisrecapitulatedincelldif‐
ferentiation,whichconstitutesanessentialpartofontogenesis(andwhosereversalisan
essentialpartofoncogenesis).Thisknowledgecanalsobehelpfulforregenerativemedi‐
cineandrejuvenation(orprolongationofthehealthylifespan)becausethereversalofde‐
velopmentmaybeassociatedwiththereversalofexpressiontomoreancientgenesand
cellularprograms.Thisprocessmaybesimilartooncogenesisbutshouldincludediffer‐
ences,ensuringsafereversal.Thus,thecellular‐levelstudyofrecapitulationcanextend
theimportanceofthebiogeneticlawfromapurelyacademicfieldtothepracticaldimen‐
sionandhelpresearcherstobuildaunifiedframeworkforcancerbiologyandregenera‐
tive/rejuvenationmedicine.
Recently,theappearanceofsingle‐celltranscriptomeshasmadeitpossibleforre‐
searcherstoinvestigatethebiogeneticlawatthecellularlevel.Here,westudythecellular
recapitulationofphylogenesiswithanemphasisontheUC–MCevolutionarytransition.
Thisworkpresentsameta‐analysisofhumansingle‐celltranscriptomesinthepluripotent
embryonicstemcells(ESC),moredifferentiatedcells(multipotentprogenitorsand
Int.J.Mol.Sci.2022,23,114863of18
unipotenterythroblasts),embryoniccellsduringzygoticcleavage,andinducedpluripo‐
tentstemcells(iPSC).Weestimatedtherelativeeffectsofontogeneticrecapitulationand
developmentmodernization,assessingtheimpactoftheevolutionaryoriginoftested
genesandthegenesencodingforinteractomesoftheproteinsencodedbythetestedgenes
ontheexpressionofthetestedgenesduringcelldifferentiation.
Ourapproachisbasedontheconceptthatthemodernizationofdevelopmentcanbe
performedbytheinteractionoftheproteinsencodedbyoldergeneswithmorerecent
ones.Touncoverthepurerecapitulationeffects,wecontrolledforthecellcycleactivity.
Thiswasnecessarybecausetheearlierembryoniccellshaveahighercellcycleactivity
comparedwithmoredifferentiatedcells,andthehighercellcycleactivityisassociated
withtheupregulationofUCgenes[15].Thisconnectioncoulddistortthepurerecapitu‐
lationeffectsifstudiedwithoutthecorrectionforthecellcycleactivity.
2.Results
2.1.TheProofofConcept
Weanalyzedthetranscriptlevels(henceforthcalled“expression”forthesakeof
brevity)ofthegenesoriginatingatdifferentevolutionarystages(phylostrata)inthesin‐
gle‐celltranscriptomesofhumancells,whichdifferinthestateofcelldifferentiation.In
thefirstexample,thepluripotentembryonicstemcells(ESC)werecomparedwiththe
moredifferentiatedmultipotentprogenitors(MP).Asthecontrolforthecellcycleactivity,
weusedtheregressionlinesoftheexpressionofthetestedgenesontheexpressionofthe
cellcyclegenes,aspreviouslydescribed[15].ThegenesoriginatinginUCphylostrata
showedalowerregressionlineintheMPascomparedwiththeESC,whereasthegenes
fromtheMCphylostratashowedahigherline(Figure1;SupplementaryFiguresS1–S17).
2nd phylostratum (Eukaryota)
Cell cycle
A
ESC
12 3456 78
1.8
2.2
2.6
3
3.4
3.8
4.2
4.6
MP
Int.J.Mol.Sci.2022,23,114864of18
Figure1.Regressionlinesofthegenesbelongingtodifferentphylostrataonthecellcyclesignature
inthesingle‐celltranscriptomesofmultipotentprogenitors(MP)(blue)andpluripotentembryonic
stemcells(ESC)(red).Themeanexpressionofthegenesbelongingtoaphylostratumisplotted
versusthemeanexpressionofcellcyclesignaturegenes(withindividualcellsasseparatepoints).
(A)The2ndphylostratum(unicellularEukaryota);(B)the5thphylostratum(Eumetazoa).Forthe
differencebetweenintercepts,(A)p<10−103and(B)p<10−41.ThetranscriptomesarefromGSE75748
(‘celltype’dataset).
Importantly,inbothcelltypes,theexpressionofUC‐origingenescorrelateswiththe
expressionofcellcyclegenes(Figure1).IntheMCphylostrata,thiscorrelationsharply
decreases,whileinthepost‐Bilateriaphylostrata,itbecomesnegative(Figure2),butit
alsorequirescorrection.Thenegativecorrelationofthegenesfromthelaterphylostrata
isunderstandablebecausethesegenesaremostlyinvolvedindifferentiationandtissue‐
specificfunctions(whiletheUC‐origingenesareinvolvedinhousekeepingandthecell
cyclefunctions),whichareusuallyassociatedwiththesuppressionofthecellcycleactiv‐
ity.
Figure2.Evolutionaryprofileoftheslopeoftheregressionlinesoftheexpressionofgenesbelong‐
ingtodifferentphylostrataonthecellcyclesignatureinthesingle‐celltranscriptomes,with
5th phylostratum (Eumetazoa)
Cell cycle
B
ESC
MP
12 3456 78
0.9
1
1.1
1.2
1.3
1.4
1.5
Int.J.Mol.Sci.2022,23,114865of18
confidenceintervals(p=0.05).TheregressionlinesareshowninFigure1andSupplementaryFig‐
uresS1–S17.ThetranscriptomesarefromGSE75748(‘celltype’dataset).Phylostrata:1—cellular
organisms(Prokaryota);2—Eukaryota;3—Opisthokonta;4—Metazoa;5—Eumetazoa;6—Bilateria;
7—Chordata;8—Vertebrata;9—Euteleostomi;10—Tetrapoda;11—Amniota;12—Mammalia;13—
Theria;14—Eutheria;15—Boreoeutheria;16—Primates;17—Hominidae.Thepicturesatthetop
showrecentorganismscorrespondingtothephyleticbranchingusedforhumangenedating.
Moreover,theESCshowahigherexpressionofcellcyclegenesascomparedwith
theMP.Thesefactsjustifythecorrectionforthecellcycleactivity.Otherwise,theeffectof
theevolutionarygeneoriginontheESC–MPdifferenceinthegeneexpressionmaybe
distortedbythehighercellcycleactivityintheESC.Forthiscorrection,weusedthedif‐
ferenceintheinterceptsbetweentheregressionlinesfortheMPandESCatequalslopes
(seeMaterialsandMethods).Byextrapolation,thiscanbeinterpretedasthedifferencein
theexpressionbetweentheMPandESCatzerocellcycleactivity.
Forthewholepictureacrosstotalphylogenesis,weplottedtheMP–ESCdifferences
intheinterceptsforallthephylostrata(Figure3A).Therearethreephasesintheevolu‐
tionaryprofileofESC‐to‐MPdifferentiation.ThegenesthatoriginatedintheUCevolu‐
tionarystage(thefirsttwophylostrata)aredownregulatedintheMPascomparedwith
theESC.Then,atthethirdphylostratum,thereisasharptransitiontothesecondphase.
Thedifferenceintheinterceptschangessign,indicatingtheupregulationofgenesorigi‐
natinginthethird(andlater)phylostrataintheMPascomparedwiththeESC.Thethird
phylostratumisOpisthokonta(representedbytherecentcolonialChoanoflagellata),
whichcanbeconsideredasthelastunicellularsorfirstmulticellulars,dependingonthe
viewpoint.Thesecondphaseoftheevolutionaryprofile(theupregulationintheMP)con‐
tinuesuptothe9thphylostratum(Euteleostomi,bonyvertebrates).Beginningfromthe
10thphylostratum(Tetrapoda:amphibians,reptiles,birds,andmammals),anydifference
disappeared,whichindicatedthethirdphase(theabsenceofrecapitulation).
Int.J.Mol.Sci.2022,23,114866of18
Figure3.Evolutionaryprofiles:thedifferencesintheinterceptsbetweentheregressionlinesofthe
expressionofgenesbelongingtodifferentphylostrataonthecellcyclesignatureinthesingle‐cell
transcriptomes(regressionlinesasinFigure1)forthedifferentcelltypes,withconfidenceintervals
(p=0.05).(A)Multipotentprogenitors(differentiatedfromESC)vs.ESC(GSE75748,‘celltype’da‐
taset).(B)Erythrocytes(differentiatedfromerythroblasts)vs.erythroblasts(GSE123899).(C)
Hepatocyte‐likecells(differentiatedfromiPSC)vs.iPSC(GSE90749).Phylostrata:1—cellularorgan‐
isms(Prokaryota);2—Eukaryota;3—Opisthokonta;4—Metazoa;5—Eumetazoa;6—Bilateria;7—
Chordata;8—Vertebrata;9—Euteleostomi;10—Tetrapoda;11—Amniota;12—Mammalia;13—The‐
ria;14—Eutheria;15—Boreoeutheria;16—Primates;17—Hominidae.Thepicturesatthetopshow
recentorganismscorrespondingtothephyleticbranchingusedforhumangenedating.
Thus,theMP–ESCcomparisondemonstratesthatontogenesis,atthecellularlevel
(reflectedintheESC‐to‐MPcelldifferentiation),recapitulatesphylogenesisinaphase‐like
manner,withasharpUC/MCcontrast,butonlyuptotheEuteleostomi.Asimilarthree‐
phasepicture,withasharpUC/MCcontrastattheOpisthokontaandtheterminationof
therecapitulationaftertheEuteleostomi,canbeseenduringthe4daysoftheESCcultur‐
ing,demonstratingtheprocessofdifferentiation(SupplementaryFiguresS18andS19).
TheESCwererepresentedbytwocelllines(H1,H9)behavingsimilarly,whereasthe
MPwererepresentedbyfivecelllines,anditistheconsolidatedpicturethatisshownin
Figure3A.Takenseparately,theMPcelllinesshowacertainvariation,butthethree‐phase
patterngenerallyremains(SupplementaryFiguresS20andS21).Theonlydifferencein
thepatternoftheUC–MCtransitionwasobservedintheneuralprogenitors(NPC)(Sup‐
plementaryFigureS20A).IntheNPC,thegenesoriginatinginthethirdphylostratum
Intecept difference
B
1234567891011121314151617
Phylostrata
-0.1
-0.05
0
0.05
0.1
0.15
0.2
0.25
Phylostrata
Intercept difference
1234567891011121314151617
-0.4
-0.3
-0.2
-0.1
0
0.1
0.2
C
Int.J.Mol.Sci.2022,23,114867of18
(Opisthokonta)showalowerexpressionintheMPcomparedwiththeESC,andtheUC–
MCtransitionisthusdelayedtothefourthphylostratum(Metazoa,recentsponges).This
differencecanarisebecausethenervoussystemisofalaterevolutionaryorigin[22].After
the9thphylostratum(Euteleostomi),thereisalsosomelimitedvariation.TheNPCand
theendothelialcells(EC)showaslightlyhigher(butconsistentintheadjacentphy‐
lostrata)expressioncomparedwiththeESC,i.e.,acontinuedrecapitulationofphylogen‐
esis(SupplementaryFigureS20A,B).Atthesametime,theforeskinfibroblasts(HFF),
trophoblast‐likecells(TB)andendodermderivatives(DEC)showaslightly(butconsist‐
ently)lowerexpression,whichcanbeinterpretedasasmalldistortionoftherecapitula‐
tion(SupplementaryFigureS21A–C).
Themultipotentprogenitors(MP)arenotcompletelydifferentiatedcells.Forthelater
stages,westudiedthedifferentiationoftheunipotenterythroblaststhatareprecursorsof
erythrocytes(Figure3B).Theerythrocytesareprobablyoneofthemoststronglydifferen‐
tiatedcelltypes,whichultimatelylosetheirabilityforreplicationandeventranscription.
Inthedifferentiatingerythroblasts,thefirstphasetransitionisthesame(UC–MC),but
withamorecomplicatedpictureafterthatstage(Figure3B).Importantly,incontrastto
theESC–MPdifferentiation,thedifferentiatingerythroblastsshowapronouncedrecapit‐
ulationinthegenesoriginatingaftertheEuteleostomi,withthestrongesteffectinthelast
phylostratum(Hominidae).Thus,therecapitulationduringcelldifferentiationwasob‐
servedforthewholeevolutionaryrangefromtheunicellularstohominids(albeit,forthe
laterevolutionarystages,onlyintheterminallydifferentiatedcells).
2.2.ArtificialOntogeneticReversal
Theinducedpluripotentstemcells(iPSC)aretheresultofartificialontogeneticre‐
versal[20].Theevolutionaryprofileoftheirdifferentiationisqualitativelysimilartothe
differentiationoftheESC(Figure3C).However,intherangeof10–12phylostrata,there
isaconsistentdownregulationinthedifferentiatedcellsascomparedwiththeinitialiPSC.
Thisobservationindicatesadistortionofrecapitulation.ThetwootheriPSCexamples
showasimilarviolationinthisphylostraticarea,albeitlesspronounced(Supplementary
FigureS22A,B).However,asimilardistortionwasobservedinHFF,TB,andDEC,differ‐
ingfromESC(SupplementaryFigureS21A–C).Therefore,thisdistortionmaysimplyin‐
dicateavariationwithinthegeneralrecapitulationpatternduringthedifferentiationof
pluripotentcells.
2.3.AbOvo
Torevealtheearliestappearanceofcellularontogeneticrecapitulation,westudied
thezygoticcleavage.Atfirstglance,itmaybeexpectedthatthestrongestexpressionof
theUCgeneswilltakeplaceintheUContogeneticstage,i.e.,intheoocyteorzygote.But
thisisnotso.ThehighestupregulationoftheUCgeneswasobservedinthehatching
blastocystonthe6thdayafterfertilization(Figure4).ItisknownthattheESC existinthe
innercellmassofthehumanblastocyst from4thto7thdayafterfertilization,andthey
disappearafterthe7thday[23].Thus,theESCseemtobeveryclosetothestrongestreca‐
pitulationoftheUCstage,albeitthattheupregulationofUCgenesisslightlylowerinthe
culturedESCascomparedwiththe6‐dayblastocyst(Figure4A).
Int.J.Mol.Sci.2022,23,114868of18
Figure4.Ontogeneticprofile:thedifferenceintheinterceptsbetweentheregressionlinesofthe
expressionofunicellular‐origingenes(1–2phylostrata)onthecellcyclesignatureinthesingle‐cell
transcriptomesfromearlyembryonicdevelopment(withconfidenceintervals,p=0.05).(A)Embry‐
oniccellsvs.ESC(GSE36552).(B)Embryoniccellsvs.embryoniccellsatday6(E‐MTAB‐3929).
2.4.RegulatoryGeneGroups
TheESC‐to‐MPdifferentiationwaschosenforthefunctionalanalysis(asitprovides
theclearestrecapitulationpatternoftheUC–MCevolutionarytransition).Controllingfor
thecellcycleactivity,westudiedtheexpressionofregulatorygenegroups,whoseexpan‐
sioninthehumangenomewasstudiedpreviouslyusingthesamephylostratigraphicda‐
ting[24].Thechaperones,epigeneticfactors,andcofactorsofthetranscriptionfactors(TF)
aredownregulatedinMP(comparedwithESC),whereastheproteinmodifiers,TF,biva‐
lentgenes,andsignalingreceptorsareupregulatedinMP(Figure5A).
Developmental stage
Intercept difference
ESC
A
Oocyte Zygote 2-cell 4-cell 8-cell Morulae Blastocyst
4 h 19 h 27 h 2 day 3 day 4 day 6 day
1 2 3 4 5 6 7
-1
-0.8
-0.6
-0.4
-0.2
0
0.2
Intecept difference
Developmental stage
B
3 day 4 day 5 day 6 day 7 day
3 4 5 6 7
-1.2
-1
-0.8
-0.6
-0.4
-0.2
0
Int.J.Mol.Sci.2022,23,114869of18
Figure5.Thedifferenceintheinterceptsbetweentheregressionlinesoftheexpressionofdifferent
genegroupsonthecellcyclesignatureinthesingle‐celltranscriptomesofMPvs.ESC(GSE75748,
‘celltype’dataset),withconfidenceintervals(p=0.05).(A)Differentregulatorygenegroups.(B)UC
genes,MCgenes,andUCgiantclustergenes.(C)UCandMCgeneswithdifferentfractionsofMC
orUCproteinsintheone‐stepinteractomeneighborhoodoftheirproteins(e.g.,‘0.25MC’means
0.25oralesserfractionoftheMCproteinsintheneighborhoodofaUCprotein).Thebluecircles
showtheinterceptvalues,theredtrianglesshowtheirconfidenceintervals.
Chaperones Protein Epigenetic TF cofactors TF Signaling
modifiers factors receptors
Intercept difference
Bivalent
genes
1234567
-0.5
-0.4
-0.3
-0.2
-0.1
0
0.1
0.2
A
UC genes MC genes UC cluster UC genes UC genes MC genes
in UC clu ster in UC clu sterout UC cluster
Intercept difference
B
1 2 3 4 5 6
-1.6
-1.3
-1
-0.7
-0.4
-0.1
0.2
Fraction of interactants
UC genes
0.25 MC 0.5 MC 0.75 MC 1.0 MC
MC genes
0.25 UC 0.5 UC
Intercept difference
0.75 UC 1.0 UC
C
1 2 3 4 5 6 7 8
-3
-2.6
-2.2
-1.8
-1.4
-1
-0.6
-0.2
0.2
Int.J.Mol.Sci.2022,23,1148610of18
2.5.TheStrengthofOldandNewTies
Inlightofthesuggestionthatthemodernizationofdevelopment,whichdistortsre‐
capitulation,canbefulfilledbytheinteractionofproteinsencodedbyoldergeneswith
morerecentgenes,westudiedthedependenceofthegeneexpressionontheevolutionary
ageofgenesencodingfortheinteractantsofproteinsencodedbythetestedgenes.The
effectoftheinteractomeprovedtobeconsiderable.Thus,albeitthatthegenesofMC
originareupregulatedintheMP(comparedwithESC),theMCgenesinsidetheUCgiant
interactomeclusteraredownregulated(Figure5B).FortheUCgenes,thiseffectiseven
morestriking.TheUCgenesinsidetheUCclusteraremuchmoredownregulatedinMP
(comparedwithESC)thanthetotalUCgenes,whereastheUCgenesoutsidetheUCclus‐
terbecomeevenupregulatedinMP(insteadofbeingdownregulated),thusbehavingsim‐
ilarlytothetotalMCgenes(Figure5B).
Atthelevelofdirect(one‐step)interactions,westudiedtheeffectofthegradualin‐
creaseintheMCfractionintheneighborhoodofproteinsencodedbythetestedgenes.
WiththeincreaseintheMCfractionintheone‐stepneighborhoodofaUCprotein,the
encodingUCgeneshowedagradualtransitionfromdownregulationtoupregulationin
MP(comparedwithESC)(Figure5C).WiththedecreaseintheMCfractionintheone‐
stepneighborhoodofanMCprotein,theencodingMCgeneshowedagradualtransition
fromupregulationtodownregulationinMP,albeitthatthiseffectofsignchangingwas
weakerthanitwasinthecaseofUCgenesinthehigh‐MCenvironment(Figure5C).
2.6.FunctionalAnalysisoftheProteinsinDifferentOne‐StepInteractomeNeighborhoods
WestudiedthefunctionsoftheUCandMCproteinsdifferingintermsoftheMC
fractionintheirone‐stepinteractomeneighborhoods.FortheUCproteins,theconserva‐
tiveUCenvironment(i.e.,alowfractionofMCproteinsintheneighborhood)ismain‐
tainedfortheproteinsinvolvedincellmetabolism,translation,ribonucleoproteincom‐
plexes,andpluripotencysignatures(Figure6A;SupplementaryTablesS1–S8).The
evolvedenvironmentofUCproteins(highfractionofMCproteinsintheneighborhood)
isobservedmostlyinthemembraneandincludesfunctionsrelatedtosignaling(Figure
6A;SupplementaryTablesS9–S16).Thesameoutcomeisobservedforproteinmodifiers
(Figure6A).Importantly,theevolvedMCenvironmentisalsofoundinthenetworkof
cancerproteins(Figure6A).
Observed/expected gene number ratio
0.25
0.05
e-05
0.9
e-58
e-15
0.04
e-4
e-10
e-4
0.5 0.4
e-136
e-94
e-13
0.9
A
e-138
0.06
e-11
e-6
e-4
e-17
e-3
0.8
e-9
0.02
e-30.9
e-8 e-21
0.9
0.9
0.9
0.9
e-10
e-10
UC genes
-1
0
1
2
3
4
5
6
7
Cellular metabolic process
Ribonucleopr otein co mplex
Plasma membrane
G protein recepto r pathway
Mitotic cell cycle
Protein modification process
Netw ork of ca ncer g enes
ESC signature
PluriNet
0.25 MC
0.5 MC
0.75 MC
1.0 MC
Int.J.Mol.Sci.2022,23,1148611of18
Figure6.ThefunctionalenrichmentoftheUCandMCproteinswithdifferentfractionsofMCor
UCproteinsintheirone‐stepinteractomeneighborhood.(A)UCproteinsintheMCenvironment.
(B)MCproteinsintheUCenvironment.Thesignificanceiseitherforenrichment(ifobserved/ex‐
pected>1)orforunderrepresentation(ifO/E<1).
FortheMCproteins,theneighborhoodwiththehighUCfractionisobservedforthe
proteinsrelatedtoRNAprocessing(Figure6B;SupplementaryTablesS17–S24).Theen‐
vironmentwithahighMClowUCfractionisobservedfortheproteinsrelatedtodevel‐
opment,celldifferentiation,cellcommunication,theregulationoftranscription,andtran‐
scriptionfactors(Figure5B6B;SupplementaryTablesS25–S32).Thebivalentgenes,ohno‐
logs,tumorsuppressors,and‘cosmic’genes(whosemutationsarefoundincancercells)
alsoshowastepwiseenrichmentwiththeincreaseintheMCfractionintheinteractome
oftheirproteins(Figure6B;SupplementaryTablesS20,S24,S28,andS32).
3.Discussion
3.1.CellularBiogeneticLaw
Wedemonstratedtheontogeneticrecapitulationofphylogenesisatthecellularlevel.
ThehighestupregulationofUCgeneswasobservednotinthesingle‐celloocyteorzygote
butinthehatchingblastocyst(aboutthe6thdayafterfertilization).Thismayappeartobe
adistortionofthebiogeneticlaw,butitonlysupportsitbecausethisobservationcanbe
explainedbythematernalmRNAsinthezygote.BecauseofthematernalmRNAs,the
oocyteorzygotedoesnotcorrespondtotheUCevolutionarystagebutpresentsaproduct
oftheMCorganism.Probably,onlyinthehatchingblastocystdoesthematernal‐to‐zy‐
gotictransition(MZT)causethecompletedecayofmaternalmRNAs[25],andtheblasto‐
cysttranscriptomebecomesofapurelyzygoticorigin.Thisontogeneticstage(containing
abouttencells)isthestrongestrecapitulationoftheUCevolutionarystage.Theupregu‐
lationofUCgenesinthehatchingblastocystisonlyslightlyhigherthaninthecultured
embryonicstemcells(ESC).Notably,theculturedESCwereinitiallytakenfromonlythe
hatchingblastocyst[23].
DuringthedifferentiationofthepluripotentESCintomultipotentprogenitors(MP),
thedownregulationofUCgenesandtheupregulationofMCgenestakeplace,albeitonly
thoseMCgenesthatoriginateuptotheEuteleostomi(bonyvertebrates).Thispicture
strikinglyresemblestheevolutionaryprofileofregulatorygeneexpansionduetogene
Observed/Expected gene number ratio
e-34
e-15
0.6
e-23
e-181
e-17
e-7
e-5
e-52 e-65
e-9
0.9
B
e-128
e-16
e-7e-2
e-48
e-14
e-2
e-2
e-137
e-2
e-6
e-6
e-56
e-250.1
e-3
e-79
e-7
0.8
0.3
e-15 e-20
0.6
0.9
e-10 e-11
0.6
0.3
MC genes
-1
0
1
2
3
4
5
6
RNA processing
System development
Regulation of transcription
Transcription factors
Cell differentiation
Cell communication
Bivalent genes
Tumor suppressors
Cosmic
Ohnologs
0.25 UC
0.5 UC
0.75 UC
1.0 UC
Int.J.Mol.Sci.2022,23,1148612of18
duplicationinthehumangenome,whichshowsasimilardecayaftertheEuteleostomi
[24].Theupregulationoftheregulatorygenegroupsalsoresemblestheevolutionarypro‐
fileofthesegroups’expansions.Thechaperones,epigeneticfactors,andcofactorsoftran‐
scriptionfactors(TF)areupregulatedintheESC,whereastheproteinmodifiers,TF,biva‐
lentgenes,andsignalingreceptorsareupregulatedintheMP.
Theonlyexceptionistheproteinmodifiers.Inthehumangenome,thechaperones,
epigeneticfactors,TFcofactor,andproteinmodifiersexpandedattheUCevolutionary
stage,whereastheTF,bivalentgenes,andsignalingreceptorsmostlyexpandedattheMC
stages[24].Theexceptionoftheproteinmodifiersisprobablyrelatedtothefactthatthey
wereadoptedfortheMCregulationinthecourseofevolution..Therefore,theybecame
upregulatedinthemoredifferentiatedcells(MPvs.ESC),wheretheMCgenesaregener‐
allyupregulated.Similarly,theproteinmodifiers,whichfirstlyexpandedinthegenomes
ofprokaryotes,asthemainprokaryoticregulatorylevel,wereadoptedintheUCeukary‐
otestoplaytheroleofepigeneticfactors,therebyanticipatingantecedentingtheexpan‐
sionofTF[24].Forinstance,histonemodifiers,HATsandHDACs,acetylateanddeacety‐
latethousandsofotherproteinsbesideshistones[26].Thus,therecapitulationpatternof
theexpressionofregulatorygenegroupsinthecourseofESC‐to‐MPdifferentiation,in
general,coincideswiththeevolutionarycourseoftheexpansionofthesegenegroupsin
thehumangenomeduetogeneduplication(exceptforproteinmodifiers),providingad‐
ditionalsupportforthecellularbiogeneticlaw.
TheEuteleostomievolutionarystage,inwhichtherecapitulationduringESC–MP
differentiationiscompleted,isclosetothecladewherethevertebratephylotypicstageis
mostpronounced[5,27].Aphylotypicstageisadevelopmentalstage,wheretheembryos
ofdifferentspeciesbelongingtoaclademoststronglyresembleeachother[1,28].The
similarityintheearlierontogeneticstagesisdistortedbyembryonicadaptations,inthe
laterstages ‐‐byterminaladditionsinthecourseofcladediversification[5,28].Inthe
ontogenesis,thephylotypicstageisclosetotheonsetoforganogenesis,andthedifferen‐
tiationofMPfromESCisnecessaryfororganogenesis[29–31].Therecapitulationofthe
laterevolutionarystagescanbeobservedduringthedifferentiationoftheunipotent
erythroblasts,wherethegenesoriginatingatthemorerecentphylostrata(uptothe
Hominidae)wereupregulated.Thisdifferentiationcorrespondstothemaintenanceofde‐
finitivetissues.
3.2.ModificationofDevelopment
Themodificationofdevelopmentdistortstherecapitulationlaw.Thisprocessisman‐
ifestedin(andprobablycausedby)theinteractomeofproteinsencodedbythegenesun‐
derconsideration.ThemoststrikingeffectfortheMCenvironmentisthatontheexpres‐
sionofUCgenes.ThereisastepwisereductioninthedownregulationofUCgenesinMP
(comparedwithESC)dependingontheMCfractionintheone‐stepinteractomeofthe
UCproteins.Moreover,intheenvironmentwithafractionofMCproteinsofabout3/4or
higher,eventheupregulationofUCgenestakesplace.Similarly,theMCgenesencoding
forproteinsintheenvironmentwithaUCfractionabove3/4aredownregulatedinstead
ofbeingupregulated.Genesworkintheformofproteins,whichinturnactasparticipants
ofproteininteractionnetworks.Itisreasonabletosuggestthat,aftertheproteininterac‐
tionswererewired,theexpressionoftheencodinggenesbecomeadaptedtothenewcon‐
ditions,inwhichtheencodedproteinsfoundthemselvesintherewiredinteractome.This
meansthatanevolutionarychangemaybeginwithachangeintheproteinsequence
(causingchangesintheproteininteractions)followedbytheadjustmentofthecoding
geneexpression.
TheevolvedenvironmentoftheUCproteins(i.e.,ahighfractionofMCproteinsin
theinteractomeofaUCprotein)includesfunctionsrelatedtosignaling,whicharemostly
performedbyproteinmodifiers.Thisfactcanexplainwhyproteinmodifiersareupregu‐
latedinthemoredifferentiatedcells(MPvs.ESC),albeitthattheirexpansioninthehu‐
mangenometookplaceattheUCevolutionarystage[24].Thesignalingisinvolvedin
Int.J.Mol.Sci.2022,23,1148613of18
intercellularcommunications,whoseroledrasticallyincreasesinthemulticellulars.The
signalingshouldbeperformedswiftly,andthiscanbebetterachievedbyproteinmodifi‐
cationascomparedwithchangesinthetranscription.TheevolvedMCenvironmentis
alsofoundinthenetworkofcancerproteins,whichindicatesthatthecontrolofoncogen‐
esisistheprerogativeoftheMClevel.
FortheMCproteins,theenvironmentwithahighUCfractionwasobservedinthe
proteinsrelatedtoRNAprocessing.TheenvironmentwithalowUCfractionwasob‐
servedintheproteinsrelatedtodevelopment,celldifferentiation,cellcommunication,
andregulationoftranscription.Thebivalentgenes,whichenablerapidswitchingbetween
cellularprograms[32],alsoshowastepwiseenrichmentwiththedecreaseintheUCfrac‐
tionintheinteractomesoftheirproteins.Asimilarpicturewasobservedforthetumor
suppressorand‘cosmic’genes(whosemutationswerefoundincancercells).Notably,
ohnologs(genesretainedinduplicatesafterwholegenomeduplication)alsoshowastep‐
wisegrowthwiththedecreaseintheUCfractionintheirinteractomeenvironment.Ohno‐
logsaremoststronglyinvolvedinboththeregulatorylevelsofMCorganisms,thenucle‐
omeandthenervoussystem[33].
3.3.AUnifiedFrameworkforCancerBiologyandRegenerativeMedicine
Besidestheirimportanceforevolutionaryanddevelopmentalbiology,studiesofthe
cellularbiogeneticlawcanprovideaunifiedframeworkforcancerbiologyandregenera‐
tive/rejuvenationmedicine.TheCancerGenomeProjectrevealedamultitudeandgreat
diversityofsomaticmutationsincancercells[34].Inaddition,alargenumberofepige‐
nomicalterationswereuncovered[35,36].Theseunexpectedresultsraisedconcernswith
respecttotheclassic‘somaticmutationtheory’ofoncogenesis,whichassumesthatcancer
iscausedbythealterationofafewoncogenes,andstimulatedinterestinthemoresys‐
temicexplanations[34,37,38].Oneofthemostprominentsystemicconceptsistheatavistic
theory,suggestingthatcancerarisesbecauseofMCcellreversaltoaUCstate[6–10].Sim‐
ilarly,theregeneration/rejuvenationrequiresareversaltoayoungerorganismstate,
which,inaccordancewiththerecapitulationlaw,mayresembleearlierevolutionary
stages.
Regenerationisverystronglyandparadoxicallyintertwinedwithbothphylogeny
andoncogenesis.Theregenerativeabilityishigherinsimplerorganisms[39–41].Moreo‐
ver,inhighlyregenerativeanimals(suchassalamandersandfrogs),regenerativepro‐
cessescanrevertmalignantcellsbacktoaphysiologicalstate[39].Inhumans,theregen‐
erativeabilityisstrongerinearlierdevelopment,whenitcanbeassociatedwithanticancer
activity.Thus,themicroenvironmentofhumanembryonicstemcellswasreportedtosup‐
pressthetumorigenicphenotypeofaggressivecancercells[42].Atthesametime,the
applicationofstemcelltechnologyforthepurposeofregenerationishinderedbytheon‐
cogenicpotentialofstemcells[20,21].Thecellularbiogeneticlawanditsnormal(evolu‐
tion‐acquired)distortionbythemodificationofdevelopmentmayofferasystemicframe‐
workfordisentanglingthisknotofintertwinedandcontroversialphenomena.
Thegenesworknotseparatelybutaspartsofcellularprograms,andtheseprograms
wereformedinthecourseofevolution.Probably,theywerecreatedbytheadditionof
extralayerstocellularnetworks,becausethehumaninteractomeshowsacore‐to‐periph‐
eryevolutionarygrowth[14],whichwasaccompaniedbynetworkrewiring,mixingnovel
andancientgenesandcausingthedistortionofthebiogeneticlaw.Beforethestudyofa
pathology,itisnecessarytoobtainaclearpictureofnormalrecapitulation(accompanied
bytheevolution‐acquiredmodificationofdevelopment).Thedeviationfromthenormal
recapitulationcanelucidatetheetiologyofpathologicalconditions.
Becausetheregenerativeabilityishigheramongsimplerorganisms,thecontrolled
activationofearlierevolutionaryprogramsinhumansmayfacilitateinjuryhealingand
rejuvenation.‘Controlled’isakeywordhere,becausethedangerofoncogenesisisthe
mainproblemconcerningstemcellusageforregeneration.Probably,healthyregeneration
shouldinvolvetheontogeneticreversaltoayoungerstatewithoutthephylogenetic
Int.J.Mol.Sci.2022,23,1148614of18
reversaltoaunicellularstate.Thesearchforcriticaldifferencesbetweenhealthyontoge‐
neticreversalandpathologicalphylogeneticreversalcouldbenefitfromaphylostrati‐
graphicframeworkrepresentingthehistoryofcellularnetworkbuilding.“Everythingis
thewayitisbecauseitgotthatway”[43](i.e.,everythingisexplainedbyitshistory).The
biogeneticlawlinkingdevelopmentandevolutionmightofferacentralconceptforsys‐
temicanalyses.
Theevolutionaryapproachisalsoimportantbecausemanybiomedicalproblemsare
studiedusingthemodelorganisms(e.g.,rodents,zebrafish,fruitflies,andnematodes).
Notably,cancerappearedintheevolutionasearlyasthebasaleumetazoans(itwasfound
inhydraandcorrals)[19].Ourunderstandingofthedifferentevolutionarytrajectoriesof
modelorganismscoupledwiththeirrecapitulationinontogenesisisnecessaryforthecor‐
recttranslationofobtainedresultstohumans.
4.MaterialsandMethods
Thehumansingle‐celltranscriptomeswereacquiredfromGeneExpressionOmnibus
[44]andBioStudies[45].ThedatabaseswereGSE75748(twodatasets:‘celltype’and‘time
course’)[46],GSE123899[47],GSE90749(twodatasets:‘hepatocyte‐like’and‘whiteadi‐
pocytes’)(unpublished),GSE36552[48],E‐MTAB‐3929[49],andGSE81252[50].Thecell
typesareindicatedinthefigurelegends(withdatasetidentifiers).
Thecontrolforcellcycleactivitywasconductedaspreviouslydescribed[15].Briefly,
thedatawerenormalizedusingthe‘limma’softwareimplementedintheRpackageusing
the‘quantile’normalizationmethod[51].Thenormalizedtranscriptlevelsofthegenes
belongingtoatestedgenegroup(e.g.,thegenesfromaphylostratum)wereaveragedfor
eachgenegroupineachcelltranscriptome.Thelimmaprovideslogtransformation.After
genegroupaveraging,themeanswereback‐transformed.Weanalyzedtheregressionof
themeanofatestedgenegrouponthemeanofthecellcyclesignature(thegenesfrom
theGOcategoryGO:0000278,‘mitoticcellcycle’),withthetranscriptomesofindividual
cellstakenasseparatepoints.Inthetext,thetranscriptleveliscalled“expression”forthe
sakeofbrevity.Tocomparethetworegressionlines(e.g.,MPvs.ESC),weusedthedif‐
ferenceintheinterceptsbetweentheseregressionlines(atequalslopes),withthecorre‐
spondingstatisticalsignificance.TheanalyseswereperformedusingtheStatgraphics
CenturionXVIIIpackage.
Asafirstapproximation,weusedthelinearmodelbecauseitenablesthestrictcom‐
parisonoftheregressionlines(withthedeterminationofthestatisticalsignificanceofthe
interceptdifferencebetweenthelines).Thecomparisonofinterceptsfornonlinearcurves
ispointless.Moreover,thelinearmodelgraspstheoverwhelmingpartofthevarianceof
thedependentvariableexplainedbythenonlinearmodel(>90%).Forinstance,thelinear
modelfortheESCinFigure1Aexplained33.6%ofthevariance(r‐squaredcoefficient),
whilethe2‐orderpolynomialmodelexplained35.9%.(Thehigher‐orderpolynomial
membersarenotsignificant.)Inotherwords,linearmodelrepresents94%ofthenonlinear
model.FortheMPinFigure1A,ther‐squaredvaluesare34.7%and35.5%,respectively.
Here,thelinearmodelrepresents98%ofthenonlinearmodel.FortheESCinFigure1B,
ther‐squaredvaluesare6.5%and6.6%,respectively.Here,linearmodelrepresents98%
ofthenonlinearmodel.FortheMPinFigure1B,ther‐squaredvaluesare18.9%and19.7%.
Here,thelinearmodelrepresents96%ofthenonlinearmodel.
Theevolutionarystratificationofhumangenes(phylostratigraphy,orgenedating)
wasacquiredfrom[24],wheretheproblemsofdifferentgenedatingresultsweredis‐
cussed.Here,weusedshallowphylostratigraphy,whichisbasedonthestrictgeneorthol‐
ogyobtainedusingthebestreciprocalhitswiththeaccurateSmith–Watermanalgorithm.
(Incontrast,deepphylostratigraphyincludesin‐paralogs,thusprovidingthedatingof
wholegenefamilies.)
ThehumanproteininteractionswereacquiredfromtheSTRINGdatabase[52].We
selectedtheinteractionswithatop‐halfconfidence(>0.5),whichisslightlyhigherthan
thedefaultconfidenceusedbytheSTRINGserver(>0.4).
Int.J.Mol.Sci.2022,23,1148615of18
ThegenesencodingfortheproteinsbelongingtotheUCandMCgiantclustersof
thehumaninteractome(usedinFigure5B)wereacquiredfrom[14].Forthedetermination
ofthefractionsofUC‐andMC‐originproteinsintheone‐stepinteractomeneighborhood
ofaprotein(usedinFigures5Cand6),theinteractantsofthisproteinweretakenfrom
theSTRING.Phylostraticgenedatingwasappliedtothegenesencodingfortheseinter‐
actants.Then,thefractionsoftheUC‐andMC‐origingeneswerecalculatedforthisgene
set.
Thefunctionalover‐andunder‐representationanalysiswasperformedaspreviously
described[53].Foreachgeneontology(GO)category,wecollectedallitssubcategories
usingGOdirectedacyclicgraphs(DAG),andagenewasregardedasbelongingtoagiven
categoryifitwasmappedtoanyofitssubcategories.Thisisnecessarybecause,forin‐
stance,onlyonegeneismappedtothe‘proteinmodificationprocess’(GO:0036211)di‐
rectly,whereas2500+genescanbemappedtothisprocessusingtheGODAG(because
proteinmodifiersaredistributedamongspecificproteinmodificationprocesses).Themo‐
lecularpathwayswereacquiredfromtheNCBIBioSystems.Aredundancyofthisre‐
source,whichconstitutesamostcompletecompendiumofthepathwaysfromdifferent
databases,wasremovedbyunitingtheentrieswithidenticalgenesets.
Tothispathwayscompendium,weaddedthefollowinggenesignatures:theMolec‐
ularSignaturesDatabase(MSigDB)[54],tumorsuppressorgenesfromtheTSGdatabase
[55],genesfromtheCatalogueofSomaticMutationsinCancer(COSMIC)[56],human
transcriptionfactorsfrom[57]andAnimalTFDB[58],bivalentgenesfrom[32],and
genesfromtheOHNOLOGSdatabase[59].Asthepluripotencysignatures,weused
PluriNetfromMSigDBandthesetofgenesupregulatedintheESCvs.differentiatedcells
observedinatleastthreeindependentstudies[60].
Thehypergeometricdistributionofprobability(implementedintheRenvironment)
wasusedforthedeterminationofthestatisticalsignificanceoftheratioofobservedto
expectednumbersofgenesbelongingtoaGOcategory/pathwayinatestedgenesample.
Theexpectednumberwascalculatedonthebasisofthenumberofcategory/pathway
genesinthetotalgenedataset(assumingarandomgenedistributionacrosscatego‐
ries/pathways).Afterthedeterminationoftheenrichedcategories/pathways,thestatisti‐
calsignificanceoftheenrichmentwascorrectedformultipletests,accordingto[61].
SupplementaryMaterials:Thefollowingsupportinginformationcanbedownloadedat:
https://www.mdpi.com/article/10.3390/ijms231911486/s1,FiguresS1–S22,TablesS1–S32.
AuthorContributions:A.E.V.designedthestudy,performedtheanalyses,andwrotethepaper.
O.V.A.analyzedthedataandwrotethepaper.Allauthorshavereadandagreedtothepublished
versionofthemanuscript.
Funding:ThisworkwasfundedbytheMinistryofScienceandHigherEducationoftheRussian
Federation(AgreementNo.075‐15‐2021‐1075,signed28.09.2021).
InstitutionalReviewBoardStatement:Notapplicable.
InformedConsentStatement:Notapplicable.
DataAvailabilityStatement:Thedataunderlyingthisarticleareavailableinthearticleandits
onlineSupplementaryMaterials.
Acknowledgments:Wethankthethreeanonymousreviewersfortheirvaluablecomments.
ConflictsofInterest:Theauthorsdeclarenoconflictofinterest.
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