EMBRYO CULTURE TO ENHANCE EFFICIENCY OF COLCHICINE INDUCED POLYPLOIDIZATION IN GRAPEFRUIT

Size: px
Start display at page:

Download "EMBRYO CULTURE TO ENHANCE EFFICIENCY OF COLCHICINE INDUCED POLYPLOIDIZATION IN GRAPEFRUIT"

Transcription

1 Pk. J. Bot., 44: , Speil Issue Mrh EMBRYO CULTURE TO ENHANCE EFFICIENCY OF COLCHICINE INDUCED POLYPLOIDIZATION IN GRAPEFRUIT MUHAMMAD USMAN*, BILQUEES FATIMA, MUHAMMAD USMAN, WAQAR ABDUS SAMAD AND KARIM BAKHSH Institute of Hortiulturl Sienes, University of Agriulture, Fisl * Corresponing uthor s e-mil: musmn74@gmil.om Astrt Different ultivrs of grpefruit (Citrus prisi L.) were explore for olhiine inue polyploiiztion using emryo ulture on MS meium. Emryo germintion ws foun to e highly genotype epenent on olhiine ontining MS meium. The highest numer of germinte emryos per see ws oserve in vs. Shmer n Frost Fresh 2.89 n 2.27, respetively, ompre to other ultivrs. Tretment of ntimitoti gent olhiine rreste shoot growth in most of the ultivrs wheres numer of leves ws signifintly higher in v. Foster n Re Mx Cne Foster (6.15 n 4.87, respetively) ompre to ontrol (2.17 eh). Rtio lef lmin ws lso higher in se of trete plnts ompre to ontrol. Numer of stomt erese (11) while length n with of the stomt inrese (2.9 n 2.4, respetively) in leves of trete plnts ompre with ontrol (2.3 n 1.7, respetively) plnts in v. Shmer. These puttive hyperploi plnts will e further onfirme for ploiy using hromosoml stuies. The plnts were shifte to greenhouse fter limtiztion for further geneti hrteriztion of ploiy n nuellr or zygoti origin of the plnts. Introution Citrus inustry of Pkistn is ontriuting 1% of fresh fruit in totl proution from 2% re uner Citrus ultivtion roun the worl yieling merely 12.7 tons per hetre. Citrus provies mjor stke to the fruit inustry of this ountry ontriuting 25% of totl fruit proution out of whih 95% shre is oming from Punj (Anon., 2010). Citrus inustry is minly epenent upon Mnrins inluing Kinnow n Feutrell s Erly overing 80% of totl re uner Citrus (Usmn et l., 2002). Grpefruit is n importnt memer of Citrus n offers plenty of vitmin C, higher mount of β-rotene tht oy onverts to vitmin A n hnful mount of spermiine tht prolongs ell geing proess. Progress in Citrus inustry is hnippe y nrrow geneti se, lternte ering, high numer of sees, post hrvest losses n numer of ioti n ioti stress. Puli likeliness towrs seeless ultivrs is rising n to e ompetitive in the glol Citrus inustry we nee to evelop our own seeless ultivrs for instne in Grpefruit whih is one of the lest explore n unerutilize Citrus memer in Pkistn. Suess stories of seelessness in the worl inlue Mrsh seeless, Thiti lime n mny others. Seelessness through triploiy is ommonly inue y interploi hyriiztion followe y emryo resue In vitro (Soost & Cmeron, 1985; Usmn et l., 2002; Grosser & Chnler, 2004; Reforgito et l., 2005; Zhng et l., 2007). For interploi rossing we nee utotetrplois whih re not ville in our germplsm resoures n less likely ville in the worl s well (Zeng et l., 2006; Usmn et l., 2008). In Pkistn, nrrow Citrus germplsm se is further onfine to reserh sttions only. There is no report of vilility of utotetrploi grpefruit tht is require for triploi grpefruit evelopment n for further grpefruit rop improvement progrms. These fts suggest ire nee to exploit potentil of seeless Citrus reeing (Ro et l., 1992) n to evelop genetilly iverse hyperploi popultion of grpefruit germplsm. Citrus polyplois re importnt for their hortiulturlly useful hrteristis, soure of vriility n use s prents in reeing progrms. Aitionlly hyperplois re vigorous n helthy plnts. In vitro hromosome ouling is populr soure of prouing tetrploi plnts rtifiilly in Citrus n other fruit trees (Preieri, 2001). Tetrplois often generte vrints hving fvorle hortiulturl hrteristis s inrese in orgn size like leves, flowers, fruits leing to high proution n y ouling genome tetrplois provie wier germplsm se for reeing progrms (Arn et l., 1997; Tho et l., 2003; Zhng et l., 2007). Conventionl methos of inuing tetrploiy inlue soking roots or whole plnts in olhiine solution, ulturing shoots in olhiine-ontining meium in greenhouse, injeting olhiine into seonry us n pplying olhiine-soke otton sw to uxiliry us. These methos re less effiient in polyploi plnt proution with higher frequeny of himers tht nee severl propgtion yles to seprte himers (Pei, 1985). Colhiine forms tuulin-olhiine omplex preventing mirotuule ssemly n rrests spinle formtion uring mitosis resulting in uplite hromosomes whih sty within the sme nuleus leing to tetrploiy (Khn & Rhmn, 1994; Pn et l., 1995; Srsn & Roerts, 2004; Cpert et l., 2006). Plnt ells survive on olhiine n resulting olhiplois hve plye signifint role in vriety evelopment progrms (Brrett, 1974). Non-himeri utotetrplois using olhiine tretment In vitro hs een evelope in Citrus (Wu & Mooney, 2002; Zhng et l., 2007). Use of multiellulr somti tissues or orgns hs le to himeri polyploi plnt evelopment y olhiine (Sho et l., 2003; Tho et l., 2003) ompre to emryo ulture (Yng et l., 2006). Therefore emryo ulture of grpefruit ultivrs ws preferly use to minimize the hne of evelopment of himerism in evelope hyperploi germplsm. The stuy ws initite to exploit vntges of polyplois n to wien germplsm se for future rop improvement in grpefruit. Mterils n Methos Plnt mteril, steriliztion n inoultion proeures: Fruit of grpefruit ultivrs viz., Shmer,

2 400 MUHAMMAD USMAN ET AL., Frost Fresh, Re Mx Cne Fster, Foster, J BC 430 Mrsh, n Ree were ollete from Experimentl Fruit Gren, Institute of Hortiulturl Sienes, University of Agriulture, Fisl. Fruits were ut in to two hlves with shrp knife, squeeze n sees were extrte from fruit y twisting. Extrte sees were wshe y tp wter to remove the pulp. Unerevelope n immture sees were isre. Develope sees were surfe sterilize with 70% ethnol for 5 minutes n then with 10% soium hypohlorite plus 1-2 rops of Tween 20 for minutes followe y 3-4 rinses with sterilize wter. See ot ws remove n emryos were exise with sterile neele n foreps. These emryos were ulture on MS meium supplemente with vrious levels of olhiine (0.0, 0.001, 0.005, 0.01, 0.02, 0.03, 0.05 n 0.1mgL -1 ). Mei steriliztion n ulture onitions: Mei were sterilize in utolve t temperture of 121 o C n 15 Psi for 20 minutes. Cultures were ple in growth room filitte with 2500 lux light intensity n mintine t temperture 25 C ± 2. Morphologil n ytologil hrteriztion of puttive hyperplois: These puttive hyperploi plnts evelope from emryo germintion In vitro were ientifie n sreene out on the sis of morphologil n ytologil hrteriztion. Dt were ollete for lef re, root n shoot length (m) n survivl (%) fter trnsplnting. Stomtl stuies: This inlue etermintion of stomtl size, numer n frequeny of stomt in iploi (prent) n puttive hyperploi plnts. Frequeny of stomt: Numer of stomt ws ounte y removing thin lyer from the lower epiermis. A rop of istille wter ws put on glss slie n mounte the epierml lyer on the rop of istille wter. The slie ws overe with the fine slie over very refully to voi ny ir ules uner the slie over. Fine tissue pper ws use to sor extr wter y pling it sie the over slip. The slie ws then juste on the stge of mirosope n ws oserve t ifferent mgnifying powers. Numer of stomt ws ounte uner mgnifition of 1250x. Size of stomt (µ): The length n with of stomt were mesure in mirons (µ). The stge mirometer ws ple uner pproprite mgnifition of mirosope. The oulr mirometer hs 50 smll ivisions in the sle from 0 to 1, while in the se of stge mirometer there were 100 smll ivisions in the sle from 0 to 1. The fous ws juste in suh position tht the zero of oth mirometers oinie. Then the ivisions of stge mirometer whih oinie with the fifty of oulr mirometer were note. The ivisions of stge mirometer were 5 whih were use to lulte vlue of eh ivision of oulr piee in miron y putting vlues in the formul: Size of Stomt = ivision of stge x 10 ivision of oulr = 5/50 x 10, = 50/50 = 1 Eh ivision of stge mirometer is equl to 1µ. To etermine the length n with, ivisions were multiplie with 1µ thus otining mesurement of ny prtiulr stomtl imension uner the mirosope (1250x mgnifition). Length n with of stomt: Length n with of the stomt ws mesure y removing the stge mirometer n pling the slie on the stge of the mirosope. Then the oulr mirometer ws juste length/with wise n the ivisions were ounte n then multiplie with the ftor 1µ. Length/With = Counts of oulr ivision x 1µ Size of stom (µ): Size of stom (Stomtl opening) ws mesure y revolving the eye tue tht h the oulr mirometer n y justing the ivision in ross setionl position from the entre of stomt, the numer of ivisions were ounte n then multiplie with the ftor 1µ. Aperture = Counts of oulr ivisions x 1µ Results n Disussion Genotypi response for emryo germintion, shoot length n root length: Highly signifint genotypi response ws oserve for emryo germintion n shoot length ompre to root length. In emryo germintion, signifintly (p>0.005) higher germintion (2.9 emryos) ws oserve in grpefruit ultivr Shmer n the genotypi tren ws oserve s Shmer >Frost Fresh >Re Mx Cne Fster > J BC Mrsh 430 >Ree >Foster (Fig. 1). Regring shoot length, v. Ree showe signifintly (p>0.005) more shoot growth (3.6 m) n the rest of the ultivrs showe shoot growth s Ree >Shmer >Frost Fresh, J BC Mrsh 430 >Re Mx Cne Fster > Foster (Fig. 2). Mximum root length ws oserve in v. Shmer while rest of the ultivrs showe non-signifint ifferenes for root length rnging from 20ms -25ms (Fig. 3). Effet of In vitro Colhiine pplition on emryo germintion, shoot length n root length: Emryo germintion ws foun inversely proportionl to the inrese in olhiine level in the meium n emryo germintion rnge from 2.06 to 2.39 from mgL -1 of olhiine (Fig. 4) n further inrese in its onentrtion showe eline in the emryo germintion suggesting the 0.03mgL -1 of olhiine s the lethl level for emryos (Tle 1). Regring shoot n root length oth were foun inversely proportionl to the olhiine level in the meium n signifintly higher shoot n root length ws oserve on ontrol (4.08m n 26.66ms, respetively) while the highest onentrtion of olhiine in the meium showe minimum shoot n root growth (2.67ms n 17.98ms, respetively). Lef emergene n growth showe vrile response to olhiine levels s signifintly higher numer of leves 6.15 were oserve t 0.02mgL -1 while oth lower n higher levels of olhiine showe erese numer of leves per plnt suggesting tht olhiine tretment h mrker inhiitory effet on lef evelopment in shoots (Tle 1). However, the vriility oserve might e ttriute to the vrition in evelopment, helth n ge of emryos in polyemryoni Citrus see.

3 EMBRYO CULTURE TO ENHANCE POLYPLOIDIZATION IN GRAPEFRUIT 401 e f olhiine onentrtions n see germintion. These results gree with the work of Duren et l., (1996) n Chkrorti et l., (1998) who foun negtive effet of higher olhiine onentrtions on germintion of explnts. Root n shoots rising from ontrol tretments h higher growth rte thn those from olhiine trete ones. Vrile effet of olhiine tretment ws oserve on root n shoot length initing n verse n suppressing effet of olhiine on oth root n shoot length of plnts. Seelings rising from trete emryos showe slow growth ompre to ontrol. Root n shoot length erese with inrese in olhiine onentrtion leing to more root n shoot length thn ontrol. The growth retrtion in trete plnts might e ttriute to reue rte of ell ivision use y olhiine. Similr oservtions in whih root n shoot length erese ue to growth retrtion re lso reporte y Skir & Jolly (1994). High onentrtion of olhiine ouple with long exposure time proue plnts with stunte growth (Ruuluz et l., 2007; Zhng et l., 2007) n reovery of triplois with reue growth ompre to iplois (Sho et l., 2003). Figs Genotypi response for 1) emryo germintion 2) shoot length n 3) root length on MS meium with olhiine in grpefruit. Emryo germintion perentge is n importnt prmeter while pplying olhiine to emryos for polyploi inution. Colhiine elye germintion with inresing levels n eing n ntimitoti gent use eth of emryos t higher levels inuing more stress. Results showe n inverse reltionship etween vrious Genotypi response for frequeny n size of stomt (µ) in puttive hyperploi grpefruit plnts: Strong genotypi vriility ws oserve for frequeny of stomt n length n with of stomt (Fig. 5). Signifintly (p>0.005) higher numer of stomt were foun in ultivrs Frost Fresh n Foster ( ) followe y Re Mx Cne Fster, Ree n J BC Mrsh 430 while the lowest numer of stomt were oserve in v. Shmer (11.85; Fig. 6). Stomtl length ws signifintly higher in Shmer n Foster (2.8µ-2.9µ) while rest of the ultivrs showe similr stomtl length (2.70µ-2.75µ; Fig. 7). Higher stomtl with ws oserve in vs. Ree n Shmer (2.08µ-2.10µ) followe y J BC Mrsh 430 n Foster while the lowest stomtl with ws oserve in Frost Fresh n Re Mx Cne Fster (1.98µ-1.99µ; Fig. 8). The t suggeste mximum size of stomt in vs. Shmer n Foster with mximl length n with ompre to other ultivrs. Vrile genotypi ifferenes were oserve for stomtl pore size. Aperture size ws signifintly higher (0.45µ) in vs Shmer n Foster (0.43µ) followe y Re Mx Cn Fster (0.42µ) n J BC Mrsh 430 (0.42µ) wheres minimum stomtl pore size ws foun in Frost Fresh (0.41µ) n Ree (0.40µ) s shown in (Fig. 9). Tle 1. Effet of In vitro olhiine pplition on emryo germintion n grpefruit plnt growth MS meium + Colhiine No of emryos Shoot length Root length No. of leves (mgl -1 ) germinte (m) (m) D 4.08 A A B D 3.87 B AB C B 3.76 C ABC D C 3.55 D BCD E A 3.22 E CD A F F DE G G 2.80 G BCD F E 2.67 H E F

4 402 MUHAMMAD USMAN ET AL., A B Fig. 4. Emryo germintion of Grpefruit v. Shmer on MS mei with Colhiine 0.1% (A) n 0.01% (B). () () (A) (B) Fig., 5. Stomtl ensity in puttitive polyploi plnts ) iplois n ) polyplois.

5 EMBRYO CULTURE TO ENHANCE POLYPLOIDIZATION IN GRAPEFRUIT 403 Figs Genotypi response in stomtl stuies for 6) numer, 7) length n 8) with of stomt (µ). Fig. 9. Genotypi response for stomtl opening (µ). Effet of In vitro Colhiine pplition on frequeny n size of stomt (µ) in puttive hyperploi grpefruit plnts: Frequeny of stomt ws foun inversely proportionl to numer of stomt n the numer erese (13.89 to 9.63) with inrese in the olhiine onentrtion (0-0.1 mgl -1 ) in the MS meium. Length n with of stomt were foun iretly proportionl to the olhiine level in the meium n oth length (2.47µ-3.18µ) n with (1.77µ-2.34µ) inrese with inrese in olhiine onentrtion (0-0.1 mgl -1 ) in the meium (Tle 2). These results suggest tht olhiine pplition hve iret impt on stomtl ensity n size. Size of stom (perture) inrese with inrese in the level of olhiine in the meium n mximum opening ( µ) ws foun in ll the ultivrs on 0.10 mgl -1 of olhiine. Signifintly higher stomtl size (0.51µ) ws foun on the higher level of olhiine 0.10 mgl -1 wheres it ws less (0.35µ) in ontrol meium (MS evoi olhiine). Stomtl size hs een iretly proportionl to ploiy n it inrese with the inrese in the ploiy level of plnts (Cutter, 1986; Cost et l., 2004). This tren hs een reporte in mny fruit rops like Citrus vs. mnrin (Khn et l., 1992., Usmn et l., 2002, Usmn et l., 2008), Vitis (Yng et l., 2006) n Ziziphus (Gu, 2005). Vnehout et l., (1995) oserve greter stomtl length of olhiine trete Citrus ultivrs s well. Gu (2005) oserve tht the stomt size of tetrploi plnts ws signifintly lrger thn those of iploi plnts, while the frequeny of stomt ws reue signifintly in Ziziphus. Our results suggeste tht oth genotype n olhiine tretment hs signifint impt on stomtl size in grpefruit ultivrs. Higher onentrtion of olhiine hs een more useful in inuing hyperploiy ompre to low oses. Low onentrtion of the olhiine inues epolymeriztion of mirotuulr ytoskeleton uring ell yle n insuffiient spinle isruption ourre leing to inution of polyploi ells with ell nomlies. Higher onentrtion ws foun more effetive in formtion of polyploi ells s it my le to proution of new tuulin strutures llowing evelopment of tetrploi nulei (Cpert et l., 2006). Zeng et l., (2006) reporte evelopment of tetrplois on 0.1% of olhiine tretment for 4-8 ys in grpefruit ultivr Frost ell lines. We lso oserve less stomtl ensity n more stomtl size on these levels of olhiine. However, we iffer in use of explnt (emryo) ompre to protoplsts use y them. Stomtl stuies prove to e useful tool in initil sreening of iploi n polyplois in grpefruit ultivrs n re strengthene y similr reports of Crvlho et l., (2005) in Citrus n Stnys et l., (2006) in Jpnese Quine. Similr results were reporte y See et l., (2004) n Ftim et l., (2010) who reovere spontneous polyplois in mnrins, sweet ornges n grpefruit ultivr Foster. We iffer, however, in inution of polyploiy in grpefruit ultivrs y emryo ulture In vitro on olhiine. This hyperploi germplsm hs een trnsplnte in pots n shifte to green house fter limtiztion (Fig. 10). In our stuies, emryo ulture of grpefruit ultivrs on olhiine ontining mei prove to e n effiient metho of polyploiy inution n suessful reovery s reporte in triploi ornge (Minoru & Nrio, 2006). Confirmtion of hyperploi germplsm is suggeste through hromosome ounting or flow ytometery. Geneti hrteriztion of the germplsm is suggeste to sreen mixoplois, himers n the origin of emryos (zygoti/nuellr). These utotetrplois oul e useful in rop improvement progrms in grpefruit.

6 404 MUHAMMAD USMAN ET AL., Fig. 10. Puttive grpefruit polyplois in greenhouse fter limtiztion. Tle 2. Effet of In vitro olhiine pplition on stomtl ensity n size. MS mei + Colhiine (mgl -1 ) No. of stomt Length of stomt (µ) With of stomt (µ) Stomtl pore size (µ) A 2.47 H 1.77 H 0.35 E B 2.53 G 1.79 G 0.35 E C 2.63 F 1.91 F 0.39 D D 2.74 E 2.02 E 0.41 CD E 2.85 D 2.08 D 0.42 C F 2.95 C 2.17 C 0.45 B G 3.06 B 2.24 B 0.48 A H 3.18 A 2.34 A 0.51 A Referenes Anonymous Foo n Agriulture Proution (FAO) Yer Book. Rome, Itly. ( Arn, R.R., B.R. Bon, J.P. Syvertsen n J.W. Grosser Lef hrteristis n net gs exhnge of iploi n utotetrploi Citrus. Annls of Bot., 79: Brrett, H.C Colhiine-inue polyploiy in Citrus Bot. Gz., 135: Cpert, A.D., M. Delgo, F. Ressurreição, A. Meister, R.N. Jones, W. Viegs n A. Houen Colhiineinue polyploiiztion epens on tuulin polymeriztion in -metphse ells. Protoplsm, 227: Crvlho, R., W.S. Filho, A.C. Brsileiro-Vil n M. Guerr The reltionships mong lemons, limes n itron: hromosoml omprison. Cytogen. & Genome Res., 109: 1-3. Chkrorti, S.P., K. Vijyn, B.N. Roy n S.M.H. Qri In vitro inution of tetrploiy in mulerry (Morus l L.). Plnt Cell Rep., 17: Cost, M.A.P., W.A.B. Almei, A.A.A.M. Filho, B.M.J. Menes n A.P.M. Roriguez Stomtl nlysis of Citrus hyris otine y protoplst fusion. Pesq. Agrope. Brs. Brsili., 39: Cutter, E.G Epierme. In: Antomi vegetl. 2 n.e. São Pulo: Ro, pp. 2. Duren, M.R., J. Dolezel n R. Afz Inution n verifition of utotetrplois in iploi nn (Mus umint) y In vitro tehniques. Euphyti, 88: Ftim, B., M. Usmn, I.A. Khn, M.S. Khn n M.M. Khn Exploring Citrus ultivrs for unerevelope n shrivele sees: A vlule resoure for spontneous polyploiy. Pk. J. Bot., 42: Grosser, J.W. n J.L. Chnler Proution of twelve new llotetrploi somti hyri Citrus reeing prents with emphsis on lte mturity n ol-hriness. Am. Pomol. So., 58: Gu, X.F In vitro inution of tetrploi plnts from iploi Zizyphus juju Mill. v. Zhnhu. Plnt Cell Rep., 24: Khn, M.D n H. Rhmn In: Crop improvement in Hortiulture. (Es.): E.Bshir n R. Bntel. Ntionl Book Fountion. pp Khn, M.M., I.A. Khn n A.H. Mughl Growth n morphologil omprison of iploi n tetrploi strins of Kinnow mnrin. Pro. Int. So. Citriulture., pp 151. Minoru, K. n K. Nrio Effet of olhiine tretment on Tetrploi proution of nuellr emryos in trifolite ornge (Ponirus trifolit Rf.). Bull. Fukuok Agri. Res. Cen., 25: Pn, D., BL. Gooe, S.C. Feinstein n L. Wilson Kineti stiliztion of mirotuule ynmis t stey stte y tu n mirotuule-ining omins of tu. Biohem., 34: Pei, X.S Polyploiy inution n reeing. Shnghi Si. n Teh., Press, pp Preieri, S Muttion inue n tissue ulture in improving fruits. Plnt Cell Tiss. Org. Cult. 64: Ro, A.R., M.D. Khn, M. Hmee n T. Mhmoo Polyploiy in Citrus speies n iotypes in Punj. Pro. Ist. Int. Sem. Pk., pp Reforgito, R., G. Russo n S. Reupero New promising Citrus triploi hyris selete from rosses etween monoemryoni iploi femle n tetrploi mle prents. Hort. Siene., 40: Ruuluz, T., R.V. Nikolov, M.T. Smith n K. Hnnweg In vitro inution of tetrplois in Colophospermum mopne y olhiine. S. Afrin J. Bot., 73:

7 EMBRYO CULTURE TO ENHANCE POLYPLOIDIZATION IN GRAPEFRUIT 405 See, T., M. Usmn, M.M. Khn, B. Ftim n I.A. Khn Reovery of polyplois from unerevelope sees. Pro. Int. So. Citriulture, Srsn, V. n A.V. Roerts In vitro hromosome ouling. In: Enylopei of plnts n rops. (E.): M. Dekker. Mrel Dekker In., New York, pp Sho, J.Z., C.L. Chen n X. Deng In vitro inue of tetrploi in pomegrnte (Puni grntum). Plnt Cell Tissue Orgn Cult., 75: Soost, R.K. n J.W. Cmeron Melogol, triploi pommelo-grpefruit hyri. Hort. Siene., 20: Sikr A.K. n Jolly M.S Inue polyploiy in mulerry (Morus spp.): inution of tetrplois. Seriologi, 34: Stnys, V., A. Wekmn, G. Stniene n P. Duhovskis In vitro inution of polyploiy in jpnese quine (Chenomeles jponi). Plnt Cell Tissue Orgn Cult., 84: Tho, N.T.P., K. Ureshino, I. Miyjim, Y. Ozki n H. Okuo Inution of tetrplois in ornmentl Alosi through olhiine n oryzlin tretments. Plnt Cell Tissue Orgn Cult., 72: Usmn, M., B. Ftim, K.A. Gillni, M.S. Khn n M.M. Khn Exploittion of potentil trget tissues to evelop polyplois in Citrus. Pk. J. Bot., 40: Usmn, M., M. Rmzn, B. Ftim, M.J. Jskni n M.M. Khn Citrus Germplsm Enhnement By Interploi Hyriiztion 1: Reiprol Crosses of Kinnow & Suri. Int. J. Agri. Biol., 4: Vnehout, H., R. Ortiz, D. Vuylsteke, R. Swennen n K.V. Bi Effet of polyploiy on stomtl n other quntittive trits in plntin n nn hyris. Euphyti, 83: Wu, J.H. n P. Mooney Autotetrploi tngor plnt regenertion from In vitro Citrus somti emryogeni llus trete with olhiine. Plnt Cell Tissue Orgn Cult., 70: Yng, M.X., Z.Y. Co, L.Z. An, Y.M. Wng n X.W. Fng In vitro tetrploi inution vi olhiine tretment from iploi somti emryos in grpevine (Vitis vinifer L.). Euphyti, 152: Zeng, S.H., C.W. Chen C.W, H. Liu, J.H. Liu n X.X. Deng In vitro inution, regenertion n nlysis of utotetrplois erive from protoplsts n llus trete with olhiine in Citrus. Plnt Cell Tissue Orgn Cult., 87: Zhng, J., M. Zhng n X. Deng Otining utotetrplois In vitro t high frequeny in Citrus sinensis. PInt Cell Tissue Orgn Cult., 89: (Reeive for pulition 12 Ferury 2011)

Regeneration of Broccoli (Brassica oleracea L. var. bejo) from Hybrid Mature Seed and Molecular Analysis of Regenerants

Regeneration of Broccoli (Brassica oleracea L. var. bejo) from Hybrid Mature Seed and Molecular Analysis of Regenerants 4 n Interntionl Conferene on Agriulture n Biotehnology IPCBEE vol. 79 (4) (4) IACSIT Press, Singpore DOI:.776/IPCBEE. 4. V79. Regenertion of Brooli (Brssi olere L. vr. ejo) from Hyri Mture See n Moleulr

More information

Iowa Training Systems Trial Snus Hill Winery Madrid, IA

Iowa Training Systems Trial Snus Hill Winery Madrid, IA Iow Trining Systems Tril Snus Hill Winery Mdrid, IA Din R. Cohrn nd Gil R. Nonneke Deprtment of Hortiulture, Iow Stte University Bkground nd Rtionle: Over the lst severl yers, five sttes hve een evluting

More information

Effect of Genotype, Explant Type and 2,4-D on Cell Dedifferentiation. and Callus Induction in Cumin (Cuminum cyminum L.

Effect of Genotype, Explant Type and 2,4-D on Cell Dedifferentiation. and Callus Induction in Cumin (Cuminum cyminum L. Journl of Applie Biotehnology Reports Reserh Artile Effet of Genotype, Explnt Type n 2,4-D on Cell Deifferentition n Cllus Inution in Cumin (Cuminum yminum L.) Meiinl Plnt Jh Soorni 1, Dnil Khrizi 1* Astrt

More information

CS 491G Combinatorial Optimization Lecture Notes

CS 491G Combinatorial Optimization Lecture Notes CS 491G Comintoril Optimiztion Leture Notes Dvi Owen July 30, August 1 1 Mthings Figure 1: two possile mthings in simple grph. Definition 1 Given grph G = V, E, mthing is olletion of eges M suh tht e i,

More information

Effect of different concentrations of kinetin and 2,4,D on callus induction of citrus rootstock (Citrus sp.)

Effect of different concentrations of kinetin and 2,4,D on callus induction of citrus rootstock (Citrus sp.) ISSN No. (Print): 975-113 ISSN No. (Online): 2249-3239 Effet of different onentrtions of kinetin nd 2,4,D on llus indution of itrus rootstok (Citrus sp.) Seyedeh Zhr Hosseini*, Ndli Bein Jelodr**, Heshmtllh

More information

J. Environ. Sci. & Natural Resources, 4(2): 83-87, 2011 ISSN

J. Environ. Sci. & Natural Resources, 4(2): 83-87, 2011 ISSN J. Environ. Si. & Nturl Resoures, 4(2): 83-87, 2011 ISSN 1999-7361 Totl Nutrient Uptke y Grin plus Strw n Eonomi of Fertilizer Use of Rie Muttion STL-655 Grown uner Boro Seson in Sline Are M. H. Kir, N.

More information

Numbers and indices. 1.1 Fractions. GCSE C Example 1. Handy hint. Key point

Numbers and indices. 1.1 Fractions. GCSE C Example 1. Handy hint. Key point GCSE C Emple 7 Work out 9 Give your nswer in its simplest form Numers n inies Reiprote mens invert or turn upsie own The reiprol of is 9 9 Mke sure you only invert the frtion you re iviing y 7 You multiply

More information

Effects of Applying Accumulator Straw in Soil on Nutrient Uptake and Soil Enzyme Activity of Capsella bursa-pastoris under Cadmium Stress

Effects of Applying Accumulator Straw in Soil on Nutrient Uptake and Soil Enzyme Activity of Capsella bursa-pastoris under Cadmium Stress Interntionl Conferene on Mnufturing Siene nd Engineering (ICMSE 2015) Effets of Applying Aumultor Strw in Soil on Nutrient Uptke nd Soil Enzyme Ativity of Cpsell burs-pstoris under Cdmium Stress Jin Wng1,,

More information

I 3 2 = I I 4 = 2A

I 3 2 = I I 4 = 2A ECE 210 Eletril Ciruit Anlysis University of llinois t Chigo 2.13 We re ske to use KCL to fin urrents 1 4. The key point in pplying KCL in this prolem is to strt with noe where only one of the urrents

More information

Review Topic 14: Relationships between two numerical variables

Review Topic 14: Relationships between two numerical variables Review Topi 14: Reltionships etween two numeril vriles Multiple hoie 1. Whih of the following stterplots est demonstrtes line of est fit? A B C D E 2. The regression line eqution for the following grph

More information

supplementary information

supplementary information DOI: 1.138/n2131 Protein levels (% of ) e Full-length protein remining (%) 1 5 1 5 1 1 5 5 Hs7 Syt1 Syt2 β-atin CSP +tsyn Hs7 Syt1 Syt2 P4 rin.1.1.1 1 [Trypsin] (g/l) f +tsyn SNARE-omplexes remining (%)

More information

Journal of Horticultural Science Vol. 27, No. 1, Spring 2013, P ISSN: Z60. Z60 WPM. . (Juglans regia L.) J. nigra .

Journal of Horticultural Science Vol. 27, No. 1, Spring 2013, P ISSN: Z60. Z60 WPM. . (Juglans regia L.) J. nigra . Journl of Hortiulturl Siene Vol. 27, No., Spring 20, P. 67-7 ISSN: 2008-70 ( ) 67-7. 92 27 2008-70 : Z60 *2 - - 9//25 : 9/6/20 :. Z60 0/5 0) BA WPM DKW. Z60. (. WPM DKW. BA BA 0/5. DKW 8/8 6/6 / BA Z60.

More information

Applying Hyperaccumulator Straw in Cd-Contaminated Soil Enhances Nutrient Uptake and Soil Enzyme Activity of Capsella bursa-pastoris

Applying Hyperaccumulator Straw in Cd-Contaminated Soil Enhances Nutrient Uptake and Soil Enzyme Activity of Capsella bursa-pastoris Interntionl Conferene on Mnufturing Siene nd Engineering (ICMSE 2015) Applying Hyperumultor Strw in Cd-Contminted Soil Enhnes Nutrient Uptke nd Soil Enzyme Ativity of Cpsell burs-pstoris Jin Wng1,, Keng

More information

Now we must transform the original model so we can use the new parameters. = S max. Recruits

Now we must transform the original model so we can use the new parameters. = S max. Recruits MODEL FOR VARIABLE RECRUITMENT (ontinue) Alterntive Prmeteriztions of the pwner-reruit Moels We n write ny moel in numerous ifferent ut equivlent forms. Uner ertin irumstnes it is onvenient to work with

More information

Weed Management in Strawberry

Weed Management in Strawberry Wee Siene Wee Mngement in Strwerry Prinipl Investigtor Dr. Steven Fennimore Coopertive Extension Wee Speilist Dept. of Plnt Sienes University of Cliforni, Dvis USDA Agriulturl Reserh Sttion 1636 Est Alisl

More information

Effects of Drought on the Performance of Two Hybrid Bluegrasses, Kentucky Bluegrass and Tall Fescue

Effects of Drought on the Performance of Two Hybrid Bluegrasses, Kentucky Bluegrass and Tall Fescue TITLE: OBJECTIVE: AUTHOR: SPONSORS: Effets of Drought on the Performne of Two Hyrid Bluegrsses, Kentuky Bluegrss nd Tll Fesue Evlute the effets of drought on the visul qulity nd photosynthesis in two hyrid

More information

Lecture 6: Coding theory

Lecture 6: Coding theory Leture 6: Coing theory Biology 429 Crl Bergstrom Ferury 4, 2008 Soures: This leture loosely follows Cover n Thoms Chpter 5 n Yeung Chpter 3. As usul, some of the text n equtions re tken iretly from those

More information

Probability. b a b. a b 32.

Probability. b a b. a b 32. Proility If n event n hppen in '' wys nd fil in '' wys, nd eh of these wys is eqully likely, then proility or the hne, or its hppening is, nd tht of its filing is eg, If in lottery there re prizes nd lnks,

More information

b a wt ccd8 dad2 Secondary branches 15 e cd normal low b 2

b a wt ccd8 dad2 Secondary branches 15 e cd normal low b 2 A 3 1 Shoot mss (g) B Root mss (g) C 8 Primry rnhes D 8 Seonry rnhes 1 e E 8 Shoot mss/rnhes norml low 1 F 8 8 Shoot mss/root mss 8 8 Supplementl Figure 1 Aitionl phenotypi t reore from the plnts esrie

More information

ERT 316: REACTION ENGINEERING CHAPTER 3 RATE LAWS & STOICHIOMETRY

ERT 316: REACTION ENGINEERING CHAPTER 3 RATE LAWS & STOICHIOMETRY ER 316: REIO EGIEERIG HER 3 RE LWS & SOIHIOMERY 1 OULIE R 1: Rte Lws Reltive Rtes of Retion Retion Orer & Rte Lw Retion Rte onstnt, k R 2: Stoihiometry th System Stoihiometri le low System Stoihiometri

More information

THE INFLUENCE OF MODEL RESOLUTION ON AN EXPRESSION OF THE ATMOSPHERIC BOUNDARY LAYER IN A SINGLE-COLUMN MODEL

THE INFLUENCE OF MODEL RESOLUTION ON AN EXPRESSION OF THE ATMOSPHERIC BOUNDARY LAYER IN A SINGLE-COLUMN MODEL THE INFLUENCE OF MODEL RESOLUTION ON AN EXPRESSION OF THE ATMOSPHERIC BOUNDARY LAYER IN A SINGLE-COLUMN MODEL P3.1 Kot Iwmur*, Hiroto Kitgw Jpn Meteorologil Ageny 1. INTRODUCTION Jpn Meteorologil Ageny

More information

Electronic Circuits I Revision after midterm

Electronic Circuits I Revision after midterm Eletroni Ciruits I Revision fter miterm Dr. Ahme ElShfee, ACU : Fll 2018, Eletroni Ciruits I -1 / 14 - MCQ1 # Question If the frequeny of the input voltge in Figure 2 36 is inrese, the output voltge will

More information

Statistics in medicine

Statistics in medicine Sttistis in meiine Workshop 1: Sreening n ignosti test evlution Septemer 22, 2016 10:00 AM to 11:50 AM Hope 110 Ftm Shel, MD, MS, MPH, PhD Assistnt Professor Chroni Epiemiology Deprtment Yle Shool of Puli

More information

CSE 332. Sorting. Data Abstractions. CSE 332: Data Abstractions. QuickSort Cutoff 1. Where We Are 2. Bounding The MAXIMUM Problem 4

CSE 332. Sorting. Data Abstractions. CSE 332: Data Abstractions. QuickSort Cutoff 1. Where We Are 2. Bounding The MAXIMUM Problem 4 Am Blnk Leture 13 Winter 2016 CSE 332 CSE 332: Dt Astrtions Sorting Dt Astrtions QuikSort Cutoff 1 Where We Are 2 For smll n, the reursion is wste. The onstnts on quik/merge sort re higher thn the ones

More information

First compression (0-6.3 GPa) First decompression ( GPa) Second compression ( GPa) Second decompression (35.

First compression (0-6.3 GPa) First decompression ( GPa) Second compression ( GPa) Second decompression (35. 0.9 First ompression (0-6.3 GP) First deompression (6.3-2.7 GP) Seond ompression (2.7-35.5 GP) Seond deompression (35.5-0 GP) V/V 0 0.7 0.5 0 5 10 15 20 25 30 35 P (GP) Supplementry Figure 1 Compression

More information

Momentum and Energy Review

Momentum and Energy Review Momentum n Energy Review Nme: Dte: 1. A 0.0600-kilogrm ll trveling t 60.0 meters per seon hits onrete wll. Wht spee must 0.0100-kilogrm ullet hve in orer to hit the wll with the sme mgnitue of momentum

More information

Appendix A: HVAC Equipment Efficiency Tables

Appendix A: HVAC Equipment Efficiency Tables Appenix A: HVAC Equipment Effiieny Tles Figure A.1 Resientil Centrl Air Conitioner FEMP Effiieny Reommention Prout Type Reommene Level Best Aville 11.0 or more EER 14.6 EER Split Systems 13.0 or more SEER

More information

Comparing the Pre-image and Image of a Dilation

Comparing the Pre-image and Image of a Dilation hpter Summry Key Terms Postultes nd Theorems similr tringles (.1) inluded ngle (.2) inluded side (.2) geometri men (.) indiret mesurement (.6) ngle-ngle Similrity Theorem (.2) Side-Side-Side Similrity

More information

CS 2204 DIGITAL LOGIC & STATE MACHINE DESIGN SPRING 2014

CS 2204 DIGITAL LOGIC & STATE MACHINE DESIGN SPRING 2014 S 224 DIGITAL LOGI & STATE MAHINE DESIGN SPRING 214 DUE : Mrh 27, 214 HOMEWORK III READ : Relte portions of hpters VII n VIII ASSIGNMENT : There re three questions. Solve ll homework n exm prolems s shown

More information

Factorising FACTORISING.

Factorising FACTORISING. Ftorising FACTORISING www.mthletis.om.u Ftorising FACTORISING Ftorising is the opposite of expning. It is the proess of putting expressions into rkets rther thn expning them out. In this setion you will

More information

22: Union Find. CS 473u - Algorithms - Spring April 14, We want to maintain a collection of sets, under the operations of:

22: Union Find. CS 473u - Algorithms - Spring April 14, We want to maintain a collection of sets, under the operations of: 22: Union Fin CS 473u - Algorithms - Spring 2005 April 14, 2005 1 Union-Fin We wnt to mintin olletion of sets, uner the opertions of: 1. MkeSet(x) - rete set tht ontins the single element x. 2. Fin(x)

More information

Mid-Term Examination - Spring 2014 Mathematical Programming with Applications to Economics Total Score: 45; Time: 3 hours

Mid-Term Examination - Spring 2014 Mathematical Programming with Applications to Economics Total Score: 45; Time: 3 hours Mi-Term Exmintion - Spring 0 Mthemtil Progrmming with Applitions to Eonomis Totl Sore: 5; Time: hours. Let G = (N, E) e irete grph. Define the inegree of vertex i N s the numer of eges tht re oming into

More information

The Stirling Engine: The Heat Engine

The Stirling Engine: The Heat Engine Memoril University of Newfounln Deprtment of Physis n Physil Oenogrphy Physis 2053 Lortory he Stirling Engine: he Het Engine Do not ttempt to operte the engine without supervision. Introution Het engines

More information

VISIBLE AND INFRARED ABSORPTION SPECTRA OF COVERING MATERIALS FOR SOLAR COLLECTORS

VISIBLE AND INFRARED ABSORPTION SPECTRA OF COVERING MATERIALS FOR SOLAR COLLECTORS AGRICULTURAL ENGINEERING VISIBLE AND INFRARED ABSORPTION SPECTRA OF COVERING MATERIALS FOR SOLAR COLLECTORS Ltvi University of Agriulture E-mil: ilze.pelee@llu.lv Astrt Use of solr energy inreses every

More information

Callus Induction and Plant Regeneration from Different Triticum Species

Callus Induction and Plant Regeneration from Different Triticum Species The sin n ustrlsin Journl of Plnt Siene n iotehnology 212 Glol Siene ooks Cllus Inution n Plnt Regenertion from Different Tritium Speies Chun Mei Chng Suprsnn Penn * Suresh Gopl hgwt Nuler griulture n

More information

5. Every rational number have either terminating or repeating (recurring) decimal representation.

5. Every rational number have either terminating or repeating (recurring) decimal representation. CHAPTER NUMBER SYSTEMS Points to Rememer :. Numer used for ounting,,,,... re known s Nturl numers.. All nturl numers together with zero i.e. 0,,,,,... re known s whole numers.. All nturl numers, zero nd

More information

MATH 122, Final Exam

MATH 122, Final Exam MATH, Finl Exm Winter Nme: Setion: You must show ll of your work on the exm pper, legily n in etil, to reeive reit. A formul sheet is tthe.. (7 pts eh) Evlute the following integrls. () 3x + x x Solution.

More information

Equivalent fractions have the same value but they have different denominators. This means they have been divided into a different number of parts.

Equivalent fractions have the same value but they have different denominators. This means they have been divided into a different number of parts. Frtions equivlent frtions Equivlent frtions hve the sme vlue ut they hve ifferent enomintors. This mens they hve een ivie into ifferent numer of prts. Use the wll to fin the equivlent frtions: Wht frtions

More information

Intermediate Math Circles Wednesday 17 October 2012 Geometry II: Side Lengths

Intermediate Math Circles Wednesday 17 October 2012 Geometry II: Side Lengths Intermedite Mth Cirles Wednesdy 17 Otoer 01 Geometry II: Side Lengths Lst week we disussed vrious ngle properties. As we progressed through the evening, we proved mny results. This week, we will look t

More information

NEW CIRCUITS OF HIGH-VOLTAGE PULSE GENERATORS WITH INDUCTIVE-CAPACITIVE ENERGY STORAGE

NEW CIRCUITS OF HIGH-VOLTAGE PULSE GENERATORS WITH INDUCTIVE-CAPACITIVE ENERGY STORAGE NEW CIRCUITS OF HIGH-VOLTAGE PULSE GENERATORS WITH INDUCTIVE-CAPACITIVE ENERGY STORAGE V.S. Gordeev, G.A. Myskov Russin Federl Nuler Center All-Russi Sientifi Reserh Institute of Experimentl Physis (RFNC-VNIIEF)

More information

6.3.2 Spectroscopy. N Goalby chemrevise.org 1 NO 2 CH 3. CH 3 C a. NMR spectroscopy. Different types of NMR

6.3.2 Spectroscopy. N Goalby chemrevise.org 1 NO 2 CH 3. CH 3 C a. NMR spectroscopy. Different types of NMR 6.. Spetrosopy NMR spetrosopy Different types of NMR NMR spetrosopy involves intertion of mterils with the lowenergy rdiowve region of the eletromgneti spetrum NMR spetrosopy is the sme tehnology s tht

More information

Total score: /100 points

Total score: /100 points Points misse: Stuent's Nme: Totl sore: /100 points Est Tennessee Stte University Deprtment of Computer n Informtion Sienes CSCI 2710 (Trnoff) Disrete Strutures TEST 2 for Fll Semester, 2004 Re this efore

More information

Supporting Information

Supporting Information Supporting Informtion Control Synthesis of Tuulr Hyperrosslinke Polymers for Highly Porous Cron Nnotues Xioyn Wng, Pn Mu, Chong Zhng, Yu Chen, Jinghui Zeng, Feng Wng n Ji-Xing Jing *, Shnxi Key Lortory

More information

Laboratory for Foundations of Computer Science. An Unfolding Approach. University of Edinburgh. Model Checking. Javier Esparza

Laboratory for Foundations of Computer Science. An Unfolding Approach. University of Edinburgh. Model Checking. Javier Esparza An Unfoling Approh to Moel Cheking Jvier Esprz Lbortory for Fountions of Computer Siene University of Einburgh Conurrent progrms Progrm: tuple P T 1 T n of finite lbelle trnsition systems T i A i S i i

More information

Applied. Grade 9 Assessment of Mathematics. Multiple-Choice Items. Winter 2005

Applied. Grade 9 Assessment of Mathematics. Multiple-Choice Items. Winter 2005 Applie Gre 9 Assessment of Mthemtis Multiple-Choie Items Winter 2005 Plese note: The formt of these ooklets is slightly ifferent from tht use for the ssessment. The items themselves remin the sme. . Multiple-Choie

More information

Generalization of 2-Corner Frequency Source Models Used in SMSIM

Generalization of 2-Corner Frequency Source Models Used in SMSIM Generliztion o 2-Corner Frequeny Soure Models Used in SMSIM Dvid M. Boore 26 Mrh 213, orreted Figure 1 nd 2 legends on 5 April 213, dditionl smll orretions on 29 My 213 Mny o the soure spetr models ville

More information

CARLETON UNIVERSITY. 1.0 Problems and Most Solutions, Sect B, 2005

CARLETON UNIVERSITY. 1.0 Problems and Most Solutions, Sect B, 2005 RLETON UNIVERSIT eprtment of Eletronis ELE 2607 Swithing iruits erury 28, 05; 0 pm.0 Prolems n Most Solutions, Set, 2005 Jn. 2, #8 n #0; Simplify, Prove Prolem. #8 Simplify + + + Reue to four letters (literls).

More information

Chapter 4rth LIQUIDS AND SOLIDS MCQs

Chapter 4rth LIQUIDS AND SOLIDS MCQs Chpter 4rth LIQUIDS AND SOLIDS MCQs Q.1 Ioni solis re hrterize y () low melting points () goo onutivity in soli stte () high vpour pressure () soluility in polr solvents Q.2 Amorphous solis. () hve shrp

More information

Effect of bio-priming on yield and yield components of maize (Zea mays L.) under drought stress

Effect of bio-priming on yield and yield components of maize (Zea mays L.) under drought stress Bulletin of Environment, Phrmology n Life Sienes Bull. Env.Phrmol. Life Si., Vol 4 [4] Mrh 2015: 68-74 2014 Aemy for Environment n Life Sienes, Ini Online ISSN 2277-1808 Journl s URL:http://www.epls.om

More information

Counting Paths Between Vertices. Isomorphism of Graphs. Isomorphism of Graphs. Isomorphism of Graphs. Isomorphism of Graphs. Isomorphism of Graphs

Counting Paths Between Vertices. Isomorphism of Graphs. Isomorphism of Graphs. Isomorphism of Graphs. Isomorphism of Graphs. Isomorphism of Graphs Isomorphism of Grphs Definition The simple grphs G 1 = (V 1, E 1 ) n G = (V, E ) re isomorphi if there is ijetion (n oneto-one n onto funtion) f from V 1 to V with the property tht n re jent in G 1 if

More information

ANALYSIS AND MODELLING OF RAINFALL EVENTS

ANALYSIS AND MODELLING OF RAINFALL EVENTS Proeedings of the 14 th Interntionl Conferene on Environmentl Siene nd Tehnology Athens, Greee, 3-5 Septemer 215 ANALYSIS AND MODELLING OF RAINFALL EVENTS IOANNIDIS K., KARAGRIGORIOU A. nd LEKKAS D.F.

More information

1 This diagram represents the energy change that occurs when a d electron in a transition metal ion is excited by visible light.

1 This diagram represents the energy change that occurs when a d electron in a transition metal ion is excited by visible light. 1 This igrm represents the energy hnge tht ours when eletron in trnsition metl ion is exite y visile light. Give the eqution tht reltes the energy hnge ΔE to the Plnk onstnt, h, n the frequeny, v, of the

More information

Necessary and sucient conditions for some two. Abstract. Further we show that the necessary conditions for the existence of an OD(44 s 1 s 2 )

Necessary and sucient conditions for some two. Abstract. Further we show that the necessary conditions for the existence of an OD(44 s 1 s 2 ) Neessry n suient onitions for some two vrile orthogonl esigns in orer 44 C. Koukouvinos, M. Mitrouli y, n Jennifer Seerry z Deite to Professor Anne Penfol Street Astrt We give new lgorithm whih llows us

More information

Today s Outline. Inheritance. Darwin & Mendel near miss. Gregor Johann Mendel. Terms Punnett-square. Modern Synthesis

Today s Outline. Inheritance. Darwin & Mendel near miss. Gregor Johann Mendel. Terms Punnett-square. Modern Synthesis Tody s Outline Inheritne Gregor Mendel Theory of segregtion Theory of independent ssortment Soures of vrition in popultions hromosoml sis of inheritne Humn genetis & ethis Gregor Johnn Mendel Gregor Johnn

More information

Changes in root characteristics, gas exchange and water use efficiency following water stress and rehydration of Alfalfa and Sorghum

Changes in root characteristics, gas exchange and water use efficiency following water stress and rehydration of Alfalfa and Sorghum JCS 5(12):1521-1532 (2011) ISSN:1835-2707 Chnges in root hrteristis, gs exhnge n wter use effiieny following wter stress n rehyrtion of lflf n Sorghum Wenro Li 1, 2, Suiqi Zhng * 2, Lun Shn 1, 2, Egriny

More information

I1 = I2 I1 = I2 + I3 I1 + I2 = I3 + I4 I 3

I1 = I2 I1 = I2 + I3 I1 + I2 = I3 + I4 I 3 2 The Prllel Circuit Electric Circuits: Figure 2- elow show ttery nd multiple resistors rrnged in prllel. Ech resistor receives portion of the current from the ttery sed on its resistnce. The split is

More information

18.06 Problem Set 4 Due Wednesday, Oct. 11, 2006 at 4:00 p.m. in 2-106

18.06 Problem Set 4 Due Wednesday, Oct. 11, 2006 at 4:00 p.m. in 2-106 8. Problem Set Due Wenesy, Ot., t : p.m. in - Problem Mony / Consier the eight vetors 5, 5, 5,..., () List ll of the one-element, linerly epenent sets forme from these. (b) Wht re the two-element, linerly

More information

APPROXIMATION AND ESTIMATION MATHEMATICAL LANGUAGE THE FUNDAMENTAL THEOREM OF ARITHMETIC LAWS OF ALGEBRA ORDER OF OPERATIONS

APPROXIMATION AND ESTIMATION MATHEMATICAL LANGUAGE THE FUNDAMENTAL THEOREM OF ARITHMETIC LAWS OF ALGEBRA ORDER OF OPERATIONS TOPIC 2: MATHEMATICAL LANGUAGE NUMBER AND ALGEBRA You shoul unerstn these mthemtil terms, n e le to use them ppropritely: ² ition, sutrtion, multiplition, ivision ² sum, ifferene, prout, quotient ² inex

More information

AP CALCULUS Test #6: Unit #6 Basic Integration and Applications

AP CALCULUS Test #6: Unit #6 Basic Integration and Applications AP CALCULUS Test #6: Unit #6 Bsi Integrtion nd Applitions A GRAPHING CALCULATOR IS REQUIRED FOR SOME PROBLEMS OR PARTS OF PROBLEMS IN THIS PART OF THE EXAMINATION. () The ext numeril vlue of the orret

More information

Slope Lengths for 2-Bridge Parent Manifolds. Martin D. Bobb

Slope Lengths for 2-Bridge Parent Manifolds. Martin D. Bobb Cliorni Stte University, Sn Bernrino Reserh Experiene or Unergrutes Knot Theory Otoer 28, 2013 Hyperoli Knot Complements Hyperoli Knots Deinition A knot or link K is hyperoli i hyperoli metri n e ple on

More information

Probability The Language of Chance P(A) Mathletics Instant Workbooks. Copyright

Probability The Language of Chance P(A) Mathletics Instant Workbooks. Copyright Proility The Lnguge of Chne Stuent Book - Series L-1 P(A) Mthletis Instnt Workooks Copyright Proility The Lnguge of Chne Stuent Book - Series L Contents Topis Topi 1 - Lnguge of proility Topi 2 - Smple

More information

Estimation of Global Solar Radiation in Onitsha and Calabar Using Empirical Models

Estimation of Global Solar Radiation in Onitsha and Calabar Using Empirical Models Communitions in Applied Sienes ISS 0-77 Volume, umer, 0, 5-7 Estimtion of Glol Solr dition in Onitsh nd Clr Using Empiril Models M.. nuhi, J. E. Ekpe nd G. F Ieh Deprtment of Industril Physis, Eonyi Stte

More information

Lecture Notes No. 10

Lecture Notes No. 10 2.6 System Identifition, Estimtion, nd Lerning Leture otes o. Mrh 3, 26 6 Model Struture of Liner ime Invrint Systems 6. Model Struture In representing dynmil system, the first step is to find n pproprite

More information

(Thymus fallax Fisch.et C.A. Mey.)

(Thymus fallax Fisch.et C.A. Mey.) DOI: http://x.oi.org/10.22092/ijmpr.2014.982 (19) 519528 4 0 (Thymus fllx Fish.et C.A. Mey.) 2 2 *1 *1 Mohmmin5@yhoo.om : 2 191 : 191 : 190 :. Nepetoiee (Lmiee) (Thymus). Thymus fllx Fish.et C.A. Mey..

More information

Thermal energy 2 U Q W. 23 April The First Law of Thermodynamics. Or, if we want to obtain external work: The trick of using steam

Thermal energy 2 U Q W. 23 April The First Law of Thermodynamics. Or, if we want to obtain external work: The trick of using steam April 08 Therml energy Soures of het Trnsport of het How to use het The First Lw of Thermoynmis U W Or, if we wnt to otin externl work: U W 009 vrije Universiteit msterm Close yle stem power plnt The trik

More information

Solutions for HW9. Bipartite: put the red vertices in V 1 and the black in V 2. Not bipartite!

Solutions for HW9. Bipartite: put the red vertices in V 1 and the black in V 2. Not bipartite! Solutions for HW9 Exerise 28. () Drw C 6, W 6 K 6, n K 5,3. C 6 : W 6 : K 6 : K 5,3 : () Whih of the following re iprtite? Justify your nswer. Biprtite: put the re verties in V 1 n the lk in V 2. Biprtite:

More information

6.3.2 Spectroscopy. N Goalby chemrevise.org 1 NO 2 H 3 CH3 C. NMR spectroscopy. Different types of NMR

6.3.2 Spectroscopy. N Goalby chemrevise.org 1 NO 2 H 3 CH3 C. NMR spectroscopy. Different types of NMR 6.. Spetrosopy NMR spetrosopy Different types of NMR NMR spetrosopy involves intertion of mterils with the lowenergy rdiowve region of the eletromgneti spetrum NMR spetrosopy is the sme tehnology s tht

More information

for all x in [a,b], then the area of the region bounded by the graphs of f and g and the vertical lines x = a and x = b is b [ ( ) ( )] A= f x g x dx

for all x in [a,b], then the area of the region bounded by the graphs of f and g and the vertical lines x = a and x = b is b [ ( ) ( )] A= f x g x dx Applitions of Integrtion Are of Region Between Two Curves Ojetive: Fin the re of region etween two urves using integrtion. Fin the re of region etween interseting urves using integrtion. Desrie integrtion

More information

CS 360 Exam 2 Fall 2014 Name

CS 360 Exam 2 Fall 2014 Name CS 360 Exm 2 Fll 2014 Nme 1. The lsses shown elow efine singly-linke list n stk. Write three ifferent O(n)-time versions of the reverse_print metho s speifie elow. Eh version of the metho shoul output

More information

1 PYTHAGORAS THEOREM 1. Given a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

1 PYTHAGORAS THEOREM 1. Given a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. 1 PYTHAGORAS THEOREM 1 1 Pythgors Theorem In this setion we will present geometri proof of the fmous theorem of Pythgors. Given right ngled tringle, the squre of the hypotenuse is equl to the sum of the

More information

Supplementary figure 1

Supplementary figure 1 Supplementry figure 1 Igf 1 mrna 5 15 1 5 Arg1 mrna 16 1 8 Col11 mrna 5 3 1 Mmp 13 mrna 15 1 5 Tslp mrna 3 1 Il5 mrna 3 1-1 Il33 mrna 6 Figure 1s. Kinetis of woun heling ftors n erly Th-type response ytokines

More information

A Study on the Properties of Rational Triangles

A Study on the Properties of Rational Triangles Interntionl Journl of Mthemtis Reserh. ISSN 0976-5840 Volume 6, Numer (04), pp. 8-9 Interntionl Reserh Pulition House http://www.irphouse.om Study on the Properties of Rtionl Tringles M. Q. lm, M.R. Hssn

More information

Surds and Indices. Surds and Indices. Curriculum Ready ACMNA: 233,

Surds and Indices. Surds and Indices. Curriculum Ready ACMNA: 233, Surs n Inies Surs n Inies Curriulum Rey ACMNA:, 6 www.mthletis.om Surs SURDS & & Inies INDICES Inies n surs re very losely relte. A numer uner (squre root sign) is lle sur if the squre root n t e simplifie.

More information

Conservation Law. Chapter Goal. 6.2 Theory

Conservation Law. Chapter Goal. 6.2 Theory Chpter 6 Conservtion Lw 6.1 Gol Our long term gol is to unerstn how mthemticl moels re erive. Here, we will stuy how certin quntity chnges with time in given region (sptil omin). We then first erive the

More information

SEMI-EXCIRCLE OF QUADRILATERAL

SEMI-EXCIRCLE OF QUADRILATERAL JP Journl of Mthemtil Sienes Volume 5, Issue &, 05, Pges - 05 Ishn Pulishing House This pper is ville online t http://wwwiphsiom SEMI-EXCIRCLE OF QUADRILATERAL MASHADI, SRI GEMAWATI, HASRIATI AND HESY

More information

Section 2.1 Special Right Triangles

Section 2.1 Special Right Triangles Se..1 Speil Rigt Tringles 49 Te --90 Tringle Setion.1 Speil Rigt Tringles Te --90 tringle (or just 0-60-90) is so nme euse of its ngle mesures. Te lengts of te sies, toug, ve very speifi pttern to tem

More information

Particle Physics. Michaelmas Term 2011 Prof Mark Thomson. Handout 3 : Interaction by Particle Exchange and QED. Recap

Particle Physics. Michaelmas Term 2011 Prof Mark Thomson. Handout 3 : Interaction by Particle Exchange and QED. Recap Prtile Physis Mihelms Term 2011 Prof Mrk Thomson g X g X g g Hnout 3 : Intertion y Prtile Exhnge n QED Prof. M.A. Thomson Mihelms 2011 101 Rep Working towrs proper lultion of ey n sttering proesses lnitilly

More information

APPENDIX. Precalculus Review D.1. Real Numbers and the Real Number Line

APPENDIX. Precalculus Review D.1. Real Numbers and the Real Number Line APPENDIX D Preclculus Review APPENDIX D.1 Rel Numers n the Rel Numer Line Rel Numers n the Rel Numer Line Orer n Inequlities Asolute Vlue n Distnce Rel Numers n the Rel Numer Line Rel numers cn e represente

More information

Section 2.3. Matrix Inverses

Section 2.3. Matrix Inverses Mtri lger Mtri nverses Setion.. Mtri nverses hree si opertions on mtries, ition, multiplition, n sutrtion, re nlogues for mtries of the sme opertions for numers. n this setion we introue the mtri nlogue

More information

Research Article Rice Photosynthetic Productivity and PSII Photochemistry under Nonflooded Irrigation

Research Article Rice Photosynthetic Productivity and PSII Photochemistry under Nonflooded Irrigation Hinwi Pulishing Corportion e Sientifi Worl Journl, Artile ID 839658, 14 pges http://x.oi.org/10.1155/2014/839658 Reserh Artile Rie Photosyntheti Proutivity n PSII Photohemistry uner Nonflooe Irrigtion

More information

CIT 596 Theory of Computation 1. Graphs and Digraphs

CIT 596 Theory of Computation 1. Graphs and Digraphs CIT 596 Theory of Computtion 1 A grph G = (V (G), E(G)) onsists of two finite sets: V (G), the vertex set of the grph, often enote y just V, whih is nonempty set of elements lle verties, n E(G), the ege

More information

a) Read over steps (1)- (4) below and sketch the path of the cycle on a P V plot on the graph below. Label all appropriate points.

a) Read over steps (1)- (4) below and sketch the path of the cycle on a P V plot on the graph below. Label all appropriate points. Prole 3: Crnot Cyle of n Idel Gs In this prole, the strting pressure P nd volue of n idel gs in stte, re given he rtio R = / > of the volues of the sttes nd is given Finlly onstnt γ = 5/3 is given You

More information

Roughness Coefficients for Selected Residue Materials

Roughness Coefficients for Selected Residue Materials University of Nersk - Linoln DigitlCommons@University of Nersk - Linoln Biologil Systems Engineering: Ppers nd Pulitions Biologil Systems Engineering 8-1991 Roughness Coeffiients for Seleted Residue Mterils

More information

Eigenvectors and Eigenvalues

Eigenvectors and Eigenvalues MTB 050 1 ORIGIN 1 Eigenvets n Eigenvlues This wksheet esries the lger use to lulte "prinipl" "hrteristi" iretions lle Eigenvets n the "prinipl" "hrteristi" vlues lle Eigenvlues ssoite with these iretions.

More information

MCH T 111 Handout Triangle Review Page 1 of 3

MCH T 111 Handout Triangle Review Page 1 of 3 Hnout Tringle Review Pge of 3 In the stuy of sttis, it is importnt tht you e le to solve lgeri equtions n tringle prolems using trigonometry. The following is review of trigonometry sis. Right Tringle:

More information

Physics Lecture 14: MON 29 SEP

Physics Lecture 14: MON 29 SEP Physics 2113 Physics 2113 Lecture 14: MON 29 SEP CH25: Cpcitnce Von Kleist ws le to store electricity in the jr. Unknowingly, he h ctully invente novel evice to store potentil ifference. The wter in the

More information

Haplotype Frequencies and Linkage Disequilibrium. Biostatistics 666

Haplotype Frequencies and Linkage Disequilibrium. Biostatistics 666 Hlotye Frequencies nd Linkge isequilirium iosttistics 666 Lst Lecture Genotye Frequencies llele Frequencies Phenotyes nd Penetrnces Hrdy-Weinerg Equilirium Simle demonstrtion Exercise: NO2 nd owel isese

More information

QUADRATIC EQUATION. Contents

QUADRATIC EQUATION. Contents QUADRATIC EQUATION Contents Topi Pge No. Theory 0-04 Exerise - 05-09 Exerise - 09-3 Exerise - 3 4-5 Exerise - 4 6 Answer Key 7-8 Syllus Qudrti equtions with rel oeffiients, reltions etween roots nd oeffiients,

More information

CH 17: Flexible Mechanical Elements

CH 17: Flexible Mechanical Elements CH 17: lexible Mehnil Elements lexible mehnil elements (belts, hins, ropes re use in onveying systems n to trnsmit power over long istnes (inste of using shfts n gers. The use of flexible elements simplifies

More information

In vitro culture medium and explant type effect on callogenesis and shoot regeneration in two genotypes of ornamental strawberry

In vitro culture medium and explant type effect on callogenesis and shoot regeneration in two genotypes of ornamental strawberry Romnin Biotehnologil Letters Vol. 15, No.2, Supplement, 2010 Copyright 2010 University of Buhrest Printed in Romni. All rights reserved ORIGINAL PAPER In vitro ulture medium nd explnt type effet on llogenesis

More information

Effect of 2,4-D, explants type and cultivar on the callogenesis expression of cassava (Manihot esculenta Crantz) in Ghana

Effect of 2,4-D, explants type and cultivar on the callogenesis expression of cassava (Manihot esculenta Crantz) in Ghana Afrin Journl of Biotehnology Vol. 1(46), pp. 9396-941, 22 August, 211 Aville online t http://www.demijournls.org/ajb DOI: 1.5897/AJB1.2115 ISSN 1684 5315 211 Ademi Journls Full Length Reserh Pper Effet

More information

, g. Exercise 1. Generator polynomials of a convolutional code, given in binary form, are g. Solution 1.

, g. Exercise 1. Generator polynomials of a convolutional code, given in binary form, are g. Solution 1. Exerise Genertor polynomils of onvolutionl ode, given in binry form, re g, g j g. ) Sketh the enoding iruit. b) Sketh the stte digrm. ) Find the trnsfer funtion T. d) Wht is the minimum free distne of

More information

Effects of Different Rhizobacteria on Nodulation and Nitrogen Fixation in Alfalfa (Medicago sativa) at Suboptimal Root Zone Temperatures

Effects of Different Rhizobacteria on Nodulation and Nitrogen Fixation in Alfalfa (Medicago sativa) at Suboptimal Root Zone Temperatures Amerin-Eursin J. Agri. & Environ. Si., 3 (0): 30-34, 203 ISSN 88-669 IDOSI Pulitions, 203 DOI: 0.5829/iosi.ejes.203.3.0.24 Effets of Different Rhizoteri on Noultion n Nitrogen Fixtion in Alflf (Meigo stiv)

More information

Composite Pattern Matching in Time Series

Composite Pattern Matching in Time Series Composite Pttern Mthing in Time Series Asif Slekin, 1 M. Mustfizur Rhmn, 1 n Rihnul Islm 1 1 Deprtment of Computer Siene n Engineering, Bnglesh University of Engineering n Tehnology Dhk-1000, Bnglesh slekin@gmil.om

More information

Activities. 4.1 Pythagoras' Theorem 4.2 Spirals 4.3 Clinometers 4.4 Radar 4.5 Posting Parcels 4.6 Interlocking Pipes 4.7 Sine Rule Notes and Solutions

Activities. 4.1 Pythagoras' Theorem 4.2 Spirals 4.3 Clinometers 4.4 Radar 4.5 Posting Parcels 4.6 Interlocking Pipes 4.7 Sine Rule Notes and Solutions MEP: Demonstrtion Projet UNIT 4: Trigonometry UNIT 4 Trigonometry tivities tivities 4. Pythgors' Theorem 4.2 Spirls 4.3 linometers 4.4 Rdr 4.5 Posting Prels 4.6 Interloking Pipes 4.7 Sine Rule Notes nd

More information

Trigonometry Revision Sheet Q5 of Paper 2

Trigonometry Revision Sheet Q5 of Paper 2 Trigonometry Revision Sheet Q of Pper The Bsis - The Trigonometry setion is ll out tringles. We will normlly e given some of the sides or ngles of tringle nd we use formule nd rules to find the others.

More information

0.1 THE REAL NUMBER LINE AND ORDER

0.1 THE REAL NUMBER LINE AND ORDER 6000_000.qd //0 :6 AM Pge 0-0- CHAPTER 0 A Preclculus Review 0. THE REAL NUMBER LINE AND ORDER Represent, clssify, nd order rel numers. Use inequlities to represent sets of rel numers. Solve inequlities.

More information

PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

PAIR OF LINEAR EQUATIONS IN TWO VARIABLES PAIR OF LINEAR EQUATIONS IN TWO VARIABLES. Two liner equtions in the sme two vriles re lled pir of liner equtions in two vriles. The most generl form of pir of liner equtions is x + y + 0 x + y + 0 where,,,,,,

More information

Identifying and Classifying 2-D Shapes

Identifying and Classifying 2-D Shapes Ientifying n Clssifying -D Shpes Wht is your sign? The shpe n olour of trffi signs let motorists know importnt informtion suh s: when to stop onstrution res. Some si shpes use in trffi signs re illustrte

More information

SIMPLE NONLINEAR GRAPHS

SIMPLE NONLINEAR GRAPHS S i m p l e N o n l i n e r G r p h s SIMPLE NONLINEAR GRAPHS www.mthletis.om.u Simple SIMPLE Nonliner NONLINEAR Grphs GRAPHS Liner equtions hve the form = m+ where the power of (n ) is lws. The re lle

More information