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YCHEXOFEPOHT0/101/11/1 2001 • Bun. 8 YcnexM repowronormm.-2001.-Bun. 8.-C. 27-33

© M.B. CO.TIOBbeB, 2001 r. YAK 612.67:575.113.001.573+577.23

M.B.

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0 BO3MONCHOPI P0.11M XAOTWIECK0r0 1110BEAEHMSI CMCTEMbl rEHHOPI PErYllSILAYM B CTAPEHMM OPFAHM3MA Ht/11/1 OHK0/1011414 14M. npocp. H.H. fleTposa MinHaspaBa

CaHKT-ilerepoypr, 197758, flecovnuri, yn. flennnrpascxas, 68; an. nc-ra: msoloviev@mail.ru

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27


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A14 MOTKeT 11p0HCX011,HTb H

myragxii,

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[26]. HanpHMep, e,a11H11914bIe myTaqHH BeAyT K 3HaYHTeAbHomy (Ha 30- 200%) yHeAHRemno ElpOZIOATEETeAbHOCTH 211.113HH y xpyrAblx RepHeil (reHbi daf 2 14 age-1, xo,amproIgHe pegenTop HHcyAHHa H mo.aymproigHe cTpeccopHbie peaxgHH [1, 20]), AposociniA (rex mth, mem6paHHbni pegenTopHblii 6eAoK, yRacTsylotgkul B peryASIUHH cTpeccopxba peaKgml [22]) H mbnneil (reHbi dw H

npoHsoiiiteT op,Ha TaKa5I myragHR, TO, cxopee scero, oHa He AacT 3HaT414TeAbH0r0 scpcpexTa H 6yaeT yCTpaHeHa H3 11011y.A51U11H. HaH6oAee Bep051THO, YTO MyragHH, B pesyAbTaTe KOTOpbIX 11p0HCX0AHT ybeAHReHne r1p021,0A2KHTeAbHOCTI4 TKH3HH, nporicxoART B HeCK0AbKHX KAIOYeBbIX reHax, KOTOpbie yripasAinoT ApyrHmH reHaMH. HHTepecHo, tITO B HeKO" TOpb1X cAyRasix yHeAHReHrie 11p0,40A2KHTeAbHOCTH 2KH3HH AocmraeTcH sa cReT myTaullii B reHax, xoTophie cynpeccHpyioT 6HoxiimHHecime npogeccu, cnoco6cTspoigHe

df, KowrpoAxpytotgxe paamTme 91114143a [18, 24], rex p66shc ,yYaCTBylou H13 B pery.n.sigm anouroBa [25]). ECAH

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BeCTH K 3Ha'114TeAbHOMy H3MeHeHH10 r1p0,a0A24414TeAbHOCTH 214113HH

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BA14.5110IgHX Ha 11p14414Hb1 CMepTHOCTH. ECAH

11p0140A21414TeAbHOCT14 1KH3HH, T.e.

28

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cArtaritible 6yAexbi 433,14KQHH TpyAno parrepnperHposam. AAA yAyqutexHB ruirepnperripyemocTH pe3yAbTaTOB MOzteAb C. Kaycpmaxa HaMH 6bIAa momcpHuHposaHa cAeArowpm o6paBoM. ByAeBbl LpyHKUHH Bbl6HpaAHCb He 143 xcero BO3MO1SHOr0 mHomecrsa TaKHX (pp-n(4mA, a TOAbK0 143 'Tex BO3MONCliblX BapHaHTOB: «H», «HAM», «He». ilpH 3TOM BO3M01KHa raKast Hwrepnperawm 3THX (13),HKaHil: «H» — rem A aKTHBeH, eCAH aKTFIBHbl o6a rem X H Y; «HAM» — reH A aKTHBeH, ecAH aKTHBeH OAHH H3 reHOB X HAM Y; «He» — reH A aKTHBeH, eCAH reH X HeaKTI4BeH. Haptizty C 143rIeHHeM cereil C 6HHapHb1M14 COCTOAHHAMH renou, 6bIAM HCCAeA0BaHIDI cerH, rAe COCTOBHHA reHou. MOPAl4 MeHATbCA HenpeptaaHo B AHanaaoHe OT 0 AO 1 (MONieT 6bITb HHTepnpemposarto KaK pa3AH9HaA creneHb DKCnpecc“H reHa). 3TO COOTBeTCTByeT TaK Haabmaemoii HegeTKOii (HAH Hertpepbtaxort) AorHKe. B HeH 6HHapnbte AOni9eckHe CPyHKUHI4 3aMeHAFOTCA Ha HX Henpepbtaxbie 3KBHBaAeHTbI. HamH 6bIA HCCACA0BaH Hart6oAee npoc-ro BapHaHT, B KOTOpOM «H» aamefuleTcx Ha «MHHI4MyM» (min), «HAN» — Ha «maKcHmym» (max), H «He» — Ha oitonoA-

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Apyroe COCTORHI4e. axcriepHmeHToB, OH BbIC14.33aA 29


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mexcRy xaocom N crapeemem eexoropme ee cnericreae

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5. alccnoliempaAbtme pacxomytemte «Tpaewroppdt CHAbI CMepTHOCTI4>> 1103BOAAeT Bb1ABHHyTb ripeimoxoace }me, tITO 110Ka3aTeAb aticrrottexTbi (a) B ypasmemat Fom30


YCF1EXV1rEPOHT0/101 - 141/1 • 2001 Bun. 8

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nepTga (X) —

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B

1

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0,087-0,118 [2] 0,023-0,038 [15] 0,093-0,131 [2]

8,5-11,5 26,3-43,5 7,6-10,8

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pHH mwpopmagHH, npomcxoitmT 3a6bmaHHe

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KaK COBOKyIIHOCTb H3Me-

cHcTeme reHHoli peryARgHH, ynpasAsembix 3axoHaMH xaoca, MO/KHO npeAAommTb 0673ACHeHHe H TaKOMy (\.'+ cpeHomeHy, KaK ymeHbateHHe CHAbI cmepTHocTH B cTapumx so3pacTHbix rpynnax (6oAee Rn ACT). nO.A BAHAHmem r 4 i"p )r.,. 4 cpAyKTyagHil npoHcxoAHT DEIOAIOQHA CHCTeMbI TeHHOii peryAsigHH. npH 3TOM CHCTeMa KaK 6bI oHlMeTD 6oAee clu MHBble COCTOAHHH (meHee yCTOrP-IHBble OHa IIOKHAaeT 110A BAHAHHeM (pAyxTyagHii). C soapacTom BepOATHOCTb HaX01KAeHHSI CHCTeMbI B 6oAee yCTOiNHBOM COCTOAHHH yseAH914BaeTCH. BbIBeCTH cHcTemy H3 ycToilmHsoro COCTOAHHH Tpy4Hee. noaTomy AAA Toro, 91•06bI meAosex 3a60AeA, Hy2KHO 6oAee CHAbH0e someiicTsHe, mem paHbuie. COOTBeTCTBeHHO, KTO He HaX0AHT TaK0I-0 yCTOAIIHBOI*0 COCTOAHHA K AaHHOMy so3pacTy — yMHpaeT. C Apyroil CT0p0HbI, nepHoA pocTa momeT conposomA9TbC5i 110BbILLIeHHOff noTpe6HocTb10 B reHHoii peryugHH, *ITO BeAeT K yse.AHmeHlis) cTeneHeil cmo60,abi reHoperyAHTopHog CHCTeMbI. 3THM momeT 6bITb 06'bACHeHO nommenHas! CHAR CMepTHOCTH B M.AaAIIIHX BO3paCTHbIX rpynnaX. 8. TaxAce, C TO9K143pems xaommectwii npHpoAbi reHHOH MO2KHO nonbrraTbcs TIOHATb, nomemy CTapalm HmeeT mHoro o6wHx mepT y pa3HbIX BHAOB mHoroKAeTOHFIbIX ?KHBOTHbIX. &AMMO, BO mmorom 9T0 MO2KeT 6bITb CBH3aHO C 061MHOCTb10 B OpraHH3aUHH renoMa: CPO CAO2KHOCTH, KOMPleCTBa reHOB, crenemi C13513HOCTH, xapaxTepa C13513HOCTH. nO9TOMy npH B03,AerICTBHH cpAyicryaReHm=1 B

12-15 30-50*** [8] 9 [8]

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pyeT 4110CTaT09H0 e4HH006pa3Ho. XOTH rippi 3TOM B HaCT-

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AapHo-reHeTpNeckoro aHaA113a, nomomeT Bb1511:314Tb (npezt-

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CKaBaTb) HOBbIe TOHK11 (reHbI), B034,efiCTBH51 Ha aoTopbre

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3Has-IHTeAbHO.

pwo reHHog peryAaww B sztopoaoe COCTOH1114e.

CTOHT 3aMeTHTb, 4TO cyrgecTayroT Teoppm (cm. [21]),

o6bacHaragme aaamogwo H orrorelles mepea Teopmo xao-

Mcreparypa

ca - T.e. H 3130AIOUHOHHOe npomcxors,a,efare craperima MO-

1. Bakaea B.B., TmxoHoaa 0.B., KOXVIH E.M. Hccnenoaaame B03,11e6CTBMS1 pa3/11,14HbIX rtarropoe Ha 11p0gOIDKVITellbHOCT6 *143Hti HemaTo,abi Caenorhabditis elegans // Ycnexv, repoHTon.-2000.-Bun. 4. - C. 153 - 159.

aceT 6bITb o6si3aHo xaocy. KpoMe Toro, xaoc HposisA.HeTcH He TOAbKO B remoii perynagmi, HO H B ApyriAx 6HOXI4MIrieCKHX peaKuHax, a TaK1Ke H Ha KAeTOHHOM ypoBHe, ripmgem

2. raspmnoa Faapvinoaa H.C. Smonorma nponorpkviTenaHocni xmaym.-M.: HayKa, 1986.-168 c.

3TH npogeccbi Taicaie moryT HrpaTb Ba2KHyto poAb B npo-

3. rponakimckm BOOTDHKO B.fl., KmaxameA0B KoribToaep B.K. Ha,qexHocm M cTapemme 61,10/101- W-OCKI4X CHOTem.-Kmes: Haykoaa nymka, 1987.-176 c.

gecce cTapeHHa H pa3WITHH aCCOUHI1p0BaHHbIX C HHM TOAOrHH [27, 31]. 143 Bcero 3Tor0 MO2KHO 3aKAIOHHTb, HTO

cTapeHHe moaleT 11BAHTbCH cAe.acT8Hem XaOTHHeCKOil rippr-

4. Avinbmam B.M. LleTbipe moilenvi menvimmu.-11.: MeLlyakwHa, 1987.-288 C.

po,abr 1K1480171 maTeow B UeAoro.

5. M0p03013 BT., XaBOHCOH B.X. flenTyguible 6,4operynsroobi (25-neTHHH 0116IT aKcnepvimeHranbHoro M KTEIHAVOCKOM MCcne,a0BaHfr1A).-C116.: HayKa, 1996.-74 c.

3aKmogeHme

6. FIVIKI4THH B.H. akcnepmmemTanembie nonxonbi K npo,arieHMO XGA3H14 //. &Armory's, c -rapeHms, / OTB. pen. B. B. Opona-

AAA noitTHepmaeHasi rHnoTe3bi 0 XaOTH4eCK011 npHpo,ae craperwa Heo6xwwmo Bb1511311Tb OCHOBHbIe xapakTe-

kmc.-11.: HayKa, 1982.-C. 548-568.

pliCTHKH renoperyAaTopHbix CHCTeM YeA0BeKa H 211HBOT-

7. H144(01114C 4,4Hamywa HepapxmecKmx cmcrem: 38onioumomioe npeAcTaanerime.-M.: Mmp, 1989.-488 c.

HbIX. aTO 1/101KHO 6y,/1eT C,I1eAaTb nyTeM co ,reTaHma KOM-

8. 06beKT61 emonoryw paaeynAs, / OTB. pen. T. A. „fleTnacp.-M.: HayKa, 1975.-579 c.

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M. V. Soloviev ON POSSIBLE ROLE OF CHAOTIC BEHAVIOR OF THE GENE REGULATION SYSTEM IN AGING N.N. Petrov Research Institute of Oncology, 197758, St. Petersburg, Pesochny-2, Leningradskaya, 68; e-mail: msoloviev@mail.ru 1. The facts of biology of aging say that the modification of activity of few key genes may lead to the significant increase of life span. 2. The experiments with computational models of gene regulation show that these models are characterized by metastable behavior typical for the chaotic systems. 3. The force of mortality in Gompertz equation grows exponentially in time. It allows to hypothesize that at least at the level of gene regulation aging can be a chaotic process (here implied that chaos is a kind of the complex systems dynamics controlled by strictly determined rules). This approach allows to describe aging from the view point of the information theory — as the forgetting of the right functioning of the Organism (i.e. forgetting the state of health) caused by fluctuations (weak nonspecific influencies on the system). Average rate of such forgetting (described by parameter, named Lyapunov exponent) could be identified with the exponent of mortality rate in Gompertz equation. And the parameter inverse to Lyapunov's exponent (Lyapunov time), that describes the time of the initial (healthy) state forgetting, well corresponds to the time of the puberty beginning (i.e. the minimal time for the healthy state to be kept) for human beings, mice, and fruit flies (organisms whose parameters of aging are most perfectly known). Key words: aging, gene regulation, chaos.

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О возможной роли хаотического поведения системы генной регуляции в старении организма