7/22/2019 Energy Barrier for Cellular Rearrangements in Biological TIssues

1/1

Blbroy nerrcbrs dhr mb``u`er rberrelobfblts cl tcssubsIepblo Nc, Ahrob G @hpbz, A F ]mgwerz, F @cse Fellclo

Ibpertfblt hd [gyscms

]yremusb Rlcvbrscty

a a

a a

FhtcvetchlYgb mh``bmtcvb fbmgelcme` nbgevchr hd mb``u`er eoorboetbs strhlo`yclublmbs fhrpghoblbscs, melmbr orhwtg eli whuli gbe`clo _gc`bsclo`b mb`` fbmgelcms ges nbbl bxtblscvb`y stuicbi, tgb mh``bmtcvbiylefcms hd e erob lufnbr hd mb``s clscib e tcssub cs lht wb`` ulibrsthhi^bmblt cl vctrh bxpbrcfblts gevb sghwl mb``s cl tcssubs nbgevb `cjb ucishl `hlo tcfbsme`bs eli sh`cis hl sghrtbr tcfbsme`bs, eli bxgcnct lhl&

oeusscel .meoclo nbgevchr. et cltbrfbicetb tcfbsme`bs es mb``s nbmhfbfhrb tcogt`y pemjbi 'Elob`clc bt e`, [LE] >;5;# Ygbsb hnsbrvetchls erbrbfclcsmblt hd iylefcm s`hwihwl eli iylefcme` gbtbrhoblbctcbs iub thfutue` mhlstlbfblt eli mrhwiclo hd pertcm`bs cl icshribrbi, o`essysystbfs

Feicl&Ierny melclb jcilby 'FIMJ#

mb``s dhrfclo e >&i mhlublt `eybr

Ygb [htbltce` Blbroy @elismepb

Blbroy

Mhlstouretchl]pemb

Mhlsto

uretchl]pemb

Yhph`hoy fettbrs%

_gets lbxt8

Cl >&i wb fhib` bemg mb`` ese rbstlbi ph`yohl

Bmb`` 6 jE'EE;#> * j['[ [;#

>

6 jE'EE;#> * j['[

> >[;[* [

>

;#

Iub th nu`j b`estcmcty elitgb clmhfprbsscnc`cty hdtgb mb``E; cs tgb prbdbrrbi erbe,

tget mel ibpbli hl thte`vh`ufb eli gbcogt hd tgbmb``

Ygb blbroy hd bemg mb`` cs ocvbl ny1

Mhltremtc`cty iub themtcl&fyhscl rcloerhuli pbrcfbtbr

@clb tblschl1

Ihwl&rbou`etbi ny mb``&mb`` eigbschl Blgelmbi ny sunmhrtcme` emtcl

mythsjb`bthl

Ygb Mb``u`er ]gepb Bquc`cnrcuf Fhib`

E fbmgelcme``y sten`b mb`` pemjclo mel nb hnteclbi ny fclcfczclo tgb

thte` blbroy Ny tulclo tgb perefbtbrs J[, JE, [;, E;, ibscrbi mb``u`erprhpbrtcbs mel nb rbemgbi

Fhib`clo Mb`` Fcoretchl cl Mhlublt Ycssub

Y5 fhvb Y5 fhvb Y5 fhvb Y5 fhvb Y5 fhvb

Cl e mhlublt tcssubs cl >&i, mb``s mel rberrelob vce Y&5 fhvbs hl`y'essufclo lh mb`` ibetg#1

1 ,

,

,

mb`` 5 mb`` >

mb`` =

mb`` 9

mb`` 5 mb`` >

mb`` =

mb`` 9

]efp`b fcoretchl petg tgrhuog e sbrcbs hd Y&5 fhvbs1

9 2 4 ? 7

9

2

4

?

7

]5

]>

;,>

;,9

;,4

;,7

5

[rhn'B= 0 0#

9 2 4 ? 7

9

2

4

?

7

]5

]>

;,;;2

;,;5

;,;52

;,;>

;,;>2

;,;=

;,;=2

gB5c]5,]>

]5 6 2

]> 6 ?

]> 6 2

]> 6 ?]> 6 9

]> 6 ?

Ygb thph`hoy hd tgb mb``s clvh`vbi cl e Y&5trelsctchl ibtbrfclb tgb prhpbrtcbs hd tgb blbroynerrcbrsDhr mb`` ]5, Y&5 bvblts tejb p`emb hl ^BI biobs

@hme` thph`hoy

Elob`clc bt e`, [LE] >;5;

Elob`clc bt e`, [LE] >;5; Nbrtgcbr [gys ^bv @btt >;55

Tb`hmcty prhst`b hd mb``s sghw tgbspetce``y gbtbrhoblbhus fcoretchl

pettbrl cl FIMJ tcssub

E mh``hcie` o`ess _gbl pertcm`b mhlmbltretchl csclmrbesbi, tgb systbf bxgcncts irefetcm clmrbesb cl

vcsmhscty Rlen`b th rberrelob clth el hribrbistrumturb, tgb systbf cs drhzbl clth el efhrpghuso`essy pgesb

Icsp`embfblt prhst`b cl scfu`etchl hd e >&i o`ess

dhrfbr Ygbrb cs m`ber spetce` mhrrb`etchl cl tgb fhnc`ctyhd tgb pertcm`bs

_b lufbrcme``y scfu`etb mb``u`er rberrelobfblts usclo ]urdemb Bvh`vbrYh fhib` tgb emtcvb prhmbss hd e Y&5 fhvb hl el biob, wb sgrclj tgb`blotg hd tgb biob, @ th zbrh eli fejb e Y&5 thph`hocme` swep Ygbl tgb`blotg hd tgb sweppbi biob cs orhwl nemj th tgb hrcocle` @ Ygb blbroynerrcbrs dhr tgcs trelsctchl petg erb stuicbi es dulmtchl hd @

C Icddbrblt trelsctchl petg dhr mb``u er rberrelobfblts1 mb``u`erprhtruschls, esyffbtrcm Y&5 fhvbs eli scfu`telbhus Y&5 fhvbs

CC Ih shdtbr mb` s fcoretb destbr8 Feppclo tgb [htbltce` Blbroy@elismepb dhr rberrelobfblts dhr icddbrblt mb``u`er prhpbrtcbs,sumg es mhltremtc`cty, eigbschl, eli b`estcmcty

CCC Ele`ytcme` me`mu`etchls dhr dbw mb``s^bdbrblmbs15 Fellclo, bt e`, Mhemtchl hd cltbrmb``u`er eigbschl eli mhrtcme` tblschl spbmcstbs tcssub surdemb tblschl, [LE]

5;?, 5>25? '>;5;#> Elob`clc, bt e`, O`ess&`cjb iylefcms hd mh``bmtcvb mb`` fcoretchl [LE] 5;5;;235;7 '>;55#

= Dergeicder, bt e` Ygb clublmb hd mb`` fbmgelcms, mb``&mb`` cltbremtchls, eli prh`cdbretchl hl bpctgb`ce` pemjcloMurrblt Nch`hoy 5?, >;32 '>;;?#

9 Nbrtgcbr Iylefcm gbtbrhoblbcty cl efhrpghus fetbrce`s, [gyscms 9, 9> '>;55#2 Guddleob`, bt e`, Hl tgb fbmgelcsf hd wclo sczb ibtbrfcletchl cl y ibvb`hpfblt, [LE] ;4;?5=95;9 '>;;?#

Gudleob` bt e`, [LE] >;;?

E mhffhl eli mrumce` dbeturb hd systbfs wctg o`essy nbgevchr cs tgbbxcstblmb hd e [htbltce` Blbroy @elismepb '[B@# dhr `hme` rberrelobfbltsDhr hriclery tgbrfe` o`essy fetbrce`s, wgbl tgbsb nerrcbrs erb `erobmhfperbi th tgbrfe` umtuetchls, cts rgbh`hoy cs ibpbliblt hl tgb [B@eli bxtbrle` fbmgelcme` ircvclo Hl tgb htgbr geli, mb``s cl e tcssub erblhl&tgbrfe` eli hvbrmhfb blbroy nerrcbrs cl tgb [B@ fecl`y tgrhuog hme`emtcvb prhmbssbs, cb fejclo lbw eigbschls eli mb`` sgepb mgelobs _blufbrcme``y fep tgb [B@ hd e mhlublt tcssub es dulmtchls hd icddbrblttrelsctchl petgweys eli sclo`b mb`` prhpbrtcbs Ele`ytcme` me`mu`etchls erbe`sh pbrdhrfbi th stli tgb fclcfe` blbroy sgepbs dhr >&I mhlublt mb``pemjclos

B5

B>

B=

P'B5

#

P'B>

#

P'B=

#

;,5 ;,;2 ; ;,;2 ;,5;

5;

>;

=;

9;

2;

;,5 ;,;2 ; ;,;2 ;,5;

5;

>;

=;

9;

2;

;,5 ;,;2 ; ;,;2 ;,5;

5;

>;

=;

9;

2;

]tetcstcms hd blbroy nerrcbrs

Yypcme` sclo`b Y&5 bvblt trembs

Blbroy Nerrcbrs dhr ^berrelobfblt

Mesb 51

@

&;,> &;,5 ;,; ;,5 ;,>>,23;

>,23>

>,239

>,234

>,237

>,4;;

>,4;>

Btht

(L

mb``s

B>

&;,= &;,> &;,5 ;,; ;,5 ;,> ;,=>,242

>,2?;

>,2?2

>,27;

>,272

>,23;

>,232

Btht(L

mb``s

B>

B=

B5

B5

Mesb >1