bead beating method previously described (1). The V4 region of the bacterial 16S rrna gene

Size: px
Start display at page:

Download "bead beating method previously described (1). The V4 region of the bacterial 16S rrna gene"

Transcription

1 1 Supplementl Informtion Gut microbiot nlysis Genomic DNA purifiction n 16S rrna gene mplifiction. Genomic DNA ws isolte from pproximtely 6 mg of cecl content using the repete be beting metho previously escribe (1). The V4 region of the bcteril 16S rrna gene ws mplifie using primers s reporte by Kozich et l (2). PCR ws crrie out uner the following conitions: initil enturtion for 3 min t 94 C, followe by 25 cycles of enturtion for 45 s t 94 C, nneling for 6 s t 5 C n elongtion for 9 s t 72 C, n finl elongtion step for 1 min t 72 C n further trete s reporte previously (3). Sequence nlysis Sequencing ws one t the Genomic Core Fcility of Gothenburg University. The forwr n reverse res from the pir-en sequencing were joine by exploiting the long overlp between both res using in-house coes. Ienticl bses in the overlp sequence increse the ssurnce ccurcy of the sequencing n therefore we ssigne the highest possible qulity score for those mtching bses. The FASTX-Toolkit ws use to filter out low-qulity res n res with qulity Phre score over 2 in t lest 98% of their sequences psse the filter. The sequencing t were then nlyze using the softwre pckge Quntittive Insights Into Microbil Ecology (QIIME), version Sequences were clustere into opertionl txonomic units (OTUs) t 97% ientity threshol using close-reference OTU picking pproch with UCLUST (4) ginst the Greengenes reference tbse (5). Representtive sequences for the OTUs were Greengenes reference sequences or cluster sees, n were txonomiclly ssigne using the Greengenes txonomy n the Ribosoml Dtbse Project Clssifier (6). Representtive OTUs were ligne using PyNAST (7) n use to buil

2 2 phylogenetic tree with FstTree (8), which ws use to estimte the β-iversity of smples using phylogenetic iversity (9) n weighte unifrc (1). Three-imensionl principl coorintes nlysis plots were visulize using Emperor (11). With this pproch, totl of sequences groupe in 79 OTUs were obtine for the 43 smples sequence, with mein of sequences ssigne to ech smple. To correct for ifferences in sequencing epth, 48 4 sequences were rnomly sub-smple for ech smple n use for iversity nlyses. Sequences with very low bunnce (reltive bunnce <.5%) were exclue from the nlysis. LDA Effect Size lgorithm (12) ws use to ientify tx tht iscriminte cecl microbiot profiles ccoring to the coloniztion origin. Bile ci nlysis BAs from 5 µl serum (from portl n cvl veins) were extrcte using protein precipittion with 1 volumes of methnol contining euterium-lbelle internl stnrs (2.5 µm n 5 nm of ech BA stnr for portl n cvl vein respectively) (13). The smples were vortexe for 1 min n then centrifuge t 2g for 1 min. For serum from portl vein, the superntnt ws ilute 1 times in methnol:wter (1:1) n from cvl vein, the superntnt ws evporte n reconstitute in 2 µl of methnol:wter (1:1). BAs from liver n cecum were extrcte fter homogenizing the tissue in 2 ml propylene tubes with 6 zirconium oxie bes (3 mm) (Retsch GmbH, Hn, Germny). Approximtely 5 mg of tissue ws plce in the tube n 5 µl methnol contining internl stnrs were e (2.5µM of ech BA stnr). The tissue ws homogenise using TissueLyser II instrument (Qigen, Hilen, Germny) t 25 Hz for 1 min. The homogente ws then centrifuge t 2 g for 1 min n the superntnt ws ilute 5 times with wter: methnol [1:1] before

3 3 nlysis. BAs from gllbler were extrcte s bove using the whole gllbler n 5 µl of methnol. After homogenistion n centrifugtion, the superntnt ws ilute 1 times with wter:methnol [1:1] before nlysis. Becuse of the high BA concentrtion in gllbler, the internl stnrs (5 nm of ech) were e fter the ilution. BAs were nlyse using ultr-high performnce liqui chromtogrphy tnem mss spectrometry (UPLC-MS/MS). The nlyticl setup consiste of Rheos Allegro qurternry ultr-performnce pump (Flux Instruments, Bsel, Switzerln) n QTRAP 55 mss spectrometer (ABSciex, Concor, Cn). The BAs (5 µl injection) were seprte on Kinetex C18 column (2.1 x 1 mm 1.7 µm prticles) (Phenomenex, Torrnce, CA, USA) kept t 6 C. The mobile phses were 7.5 mm mmonium formte in wter juste to ph 4.5 with formic ci (A-phse) n.1% formic ci in cetonitrile (B-phse). The UPLC grient strte with 1 min isocrtic elution with 25% B. From 1 to 5 min, B ws increse to 35%; from 5 to 14.5 min, B ws increse to 95%; the grient ws then kept t this level for.5 min n then, from 15 to 15.5 min, returne to 25% B. The metho ene with 2.5 min equilibrtion to give totl runtime of 18 min per smple. The flow rte ws 4 µl/min n etection of BAs ws me using scheule MRM in negtive moe. MRM etection winow ws 9 s n trget scn time ws.3 s. Quntifiction ws me ginst clibrtion curves generte from non-lbelle stnrs. Regents Methnol n formic ci were from Merck (Drmstt, Germny). Ammonium formte ws bought from Sigm-Alrich (Steinheim, Germny) n cetonitrile ws from Rthburn Chemicls Lt (Wlkburn, UK). The BAs turocholic ci (TCA), turoursoeoxycholic ci (TUDCA), turohyoeoxycholic ic (THDCA), turochenoeoxycholic ci (TCDCA) turoeoxycholic ci (TDCA), cholic ci (CA), ursoeoxycholic ci (UDCA), hyoeoxycholic ic (HDCA), chenoeoxycholic ci (CDCA), eoxycholic ci (DCA) n

4 4 lithocholic ci (LCA) were purchse from Sigm Alrich (Stockholm, Sween). Muricholic cis (α-, β-, n ω-mca, turine-conjugte n unconjugte) n murieoxycholic ci (MDCA) were purchse from Sterlois (Newport, RI, USA). Deuterte bile cis 4 -TCA, 4 -UDCA, 4- CDCA n 4 -LCAwere purchse from CDN isotopes (Quebec, Cn). Iso- DCA ws kin gift from Jn Sjövll n CA-7 sulfte ws kin gift from AstrZenec in Mölnl, Sween. In vitro ssy of BA metbolism by humn microbiot Fecl smples from the first humn onor were inoculte (1% w/v) in 5 ml sulfte-rich nerobic BHI meium (SRANB-BHI contining cellobiose (1 g/l), mltose (1 g/l), cysteine (.5 g/l), yest extrct (2.5 g/l), mmonium sulfte (3.31 g/l), hemin (1 mg/l) n BHI (37 g/l)) supplemente with.2% TCA or CA. All chemicls were obtine from Sigm Alrich except BHI which ws purchse from OXOID, UK. The fecl smples were incubte s btch cultures uner strict nerobic conitions mintine in COY chmber for 24 hours t 37 C. The nerobic tmosphere of the COY chmber ws compose of 5% hyrogen, 1% crbon ioxie n 85% nitrogen. Smples (5 µl) were tken for BA nlysis t strt n fter 24 hours' incubtion n were kept in -2 C until the time of nlysis.

5 5 Supplementl References 1. Slonen A, Nikkil J, Jlnk-Tuovinen J, Immonen O, Rjilic-Stojnovic M, Kekkonen RA, Plv A, et l. Comprtive nlysis of fecl DNA extrction methos with phylogenetic microrry: effective recovery of bcteril n rchel DNA using mechnicl cell lysis. J Microbiol Methos 21;81: Kozich JJ, Westcott SL, Bxter NT, Highlner SK, Schloss PD. Development of ulinex sequencing strtegy n curtion pipeline for nlyzing mplicon sequence t on the MiSeq Illumin sequencing pltform. Appl Environ Microbiol 213;79: De Ver F, Kovtchev-Dtchry P, Gonclves D, Viner J, Zitoun C, Duchmpt A, Bckhe F, et l. Microbiot-generte metbolites promote metbolic benefits vi gut-brin neurl circuits. Cell 214;156: Egr RC. Serch n clustering orers of mgnitue fster thn BLAST. Bioinformtics 21;26: DeSntis TZ, Hugenholtz P, Lrsen N, Rojs M, Broie EL, Keller K, Huber T, et l. Greengenes, chimer-checke 16S rrna gene tbse n workbench comptible with ARB. Appl Environ Microbiol 26;72: Wng Q, Grrity GM, Tieje JM, Cole JR. Nive Byesin clssifier for rpi ssignment of rrna sequences into the new bcteril txonomy. Appl Environ Microbiol 27;73: Cporso JG, Kuczynski J, Stombugh J, Bittinger K, Bushmn FD, Costello EK, Fierer N, et l. QIIME llows nlysis of high-throughput community sequencing t. Nt Methos 21;7: Price MN, Dehl PS, Arkin AP. FstTree 2 Approximtely Mximum-Likelihoo Trees for Lrge Alignments. PLoS One 21;5:e Fith DP. Conservtion Evlution n Phylogenetic Diversity. Biologicl Conservtion 1992;61: Lozupone C, Knight R. UniFrc: new phylogenetic metho for compring microbil communities. Appl Environ Microbiol 25;71: Vázquez-Bez Y, Pirrung M, Gonzlez A, Knight R. EMPeror: tool for visulizing highthroughput microbil community t. GigScience 213;2: Segt N, Izr J, Wlron L, Gevers D, Miropolsky L, Grrett WS, Huttenhower C. Metgenomic biomrker iscovery n explntion. Genome Biol 211;12:R Tremroli V, Krlsson F, Werling M, Sthlmn M, Kovtchev-Dtchry P, Olbers T, Fnriks L, et l. Roux-en-Y Gstric Bypss n Verticl Bne Gstroplsty Inuce Long-Term Chnges on the Humn Gut Microbiome Contributing to Ft Mss Regultion. Cell Metb 215;22:

6 A Frction 1. D CONV-H2 2 w 15 w Verrucomicrobiles Tenericutes-ML615J-28 Mollicutes-RF39 Mollicutes-Aneroplsmtles Gmmproteobcteri-Enterobcteriles Epsilonproteobcteri-Cmpylobcterles Deltproteobcteri-Desulfovibrionles Betproteobcteri-Burkholeriles Alphproteobcteri-RF32 Erysipelotrichles Clostriiles Lctobcillles Cynobcteri-YS2 Bcteroiles Coriobcteriles Bifiobcteriles B Cecum BAs (nmol) w 15 w TαMCA TβMCA TωMCA TCA αmca βmca ωmca CA HDCA DCA C iso-dca in cecum (nmol) w 15 w D CA 7-sulfte in cecum (nmol) w 15 w Supplementl Figure S1. Gut microbiot n BA composition in cecum of mice colonize with secon humn onor. (A) Reltive bunnce of orers in cecl bcteri from CONV-H2 mice colonize for 2 weeks (2w) or 15 weeks (15w). (B-D) Whole orgn mounts of BAs (B) iso-dca (C) n CA-7 sulfte (D) in cecum. n=5-7 mice/group; D, onor smple; MCA, muricholic ci; CA, cholic ci; HDCA, hyoeoxycholic ci; DCA, eoxycholic ci; T, turine-conjugte species.

7 cteri Cynob 4C_2 CONV-M (2 weeks) CONV-H (2 weeks) t r g b2 b1 b Verrucomic obcteri robi Actin Te iiverrucomicrob n e ric obcter i ute Cori M o e s llic ute 7 c 9 s Ep 8 b sil f b6 b5 b4 b3 e b7 h c es B cte ro B ie q cte p t ro o n s ii m l k i j 1 illi Bc w z v y u x teri Alphproteobc bc teri teo bcteri E r proteo ysip Pro elo Bet c7 2 tric ri cte c6 hi 1 c9 b eo c5 ot 6 c8 c4 pr c 3 3 c2 on 4 5 c b9 1 b8 : Alercreutzi b: Collinsell_erofciens c: Coriobctericee : Coriobcteriles e: Bcteroies f: Bcteroies_ovtus g: Brnesiellcee h: Butyricimons i: Ooribcter j: Ooribctercee k: Prbcteroies l: Prbcteroies_istsonis m: Porphyromoncee n: Prevotell o: Prevotell_copri p: Prevotellcee q: Rikenellcee r: S24_7 s: Bcteroiles t: YS2 u: Stphylococcus v: Stphylococccee w: Bcillles x: Lctobcillus y: Lctobcillcee z: Lctobcillles : Christensenellcee 1: Clostriicee 2: Dehlobcterium 3: Dehlobctericee 4: Anerofustis 5: Eubctericee 6: Bluti 7: Bluti_obeum 8: Coprococcus 9: Dore b: Roseburi b1: Ruminococcus b2: Lchnospirchee b3: Mogibctericee b4: rc4_4 b5: Feclibcterium_prusnitzii b6: Ruminocuccus b7: Ruminocucccee b8: Phscolrctobcterium b9: Vellionellcee c: Clostriiles c1: Allobculum c2: Coprobcillus c3: Eubcterium _olichum c4: cc115 c5: Erysipelotrichcee c6: Erysipelotrichles c7: RF32 c8: Suturell c9: Alcligencee : Oxlobcter_formigenes 1: Oxlobctercee 2: Burkholeriles 3: Bilophil 4: Desulfovibrio 5: Helicobctercee 6: Cmpylobcterles 7: RF39 8: Akkermnsi_muciniphil 9: Verrucomicrobicee e: Verrucomicrobiles Supplementl Figure S2. Clogrm representing OTUs of sttisticl n biologicl ifference between cecum microbiot of CONV-M n CONV-H mice fter 2 weeks of coloniztion. Ech circle imeter is proportionl to OTU s bunnce. n=6 smples/group.

8 v u t s q r Bc tero ie Bc tes ter oi i x p n o m l j c3 b3 b8b7 b6b5 b4 9 b b2 b1 c4 2 c1c b c 9 c6 8 7 c5 7 c CONV-M (15 weeks) CONV-H (15 weeks) teri nobc Cy _2 4C y i cill w 1 B 6 3 z k i g f Verrucomicrob i T e n Verrucomi eric c r o b i e ute cterie Mol s inob l Act i c u tes G f3 m m f2 p r h e c b f6 f5 f4 2 f f1 e8 e9 teri teobc oteobcter r p h p l A i pro Bectteri 8 3 e ri eob cte rot e 7 b ltp e7 e eo e 4 e1 ot D 1 e6 3 e4 e5 c8 c9 : Bifiobcterium b: Bifiobcterium_longum c: Bifiobctericee : Bifiobcteriles e: Alercreutzi f: Collinsell_erofciens g: Coriobctericee h: Bcteroies i: Bcteroies_ovtus j: Bcteroies_uniformis k: Bcteroicee l: Brnesiellcee m: Butyricimons n: Ooribcter o: Ooribctercee p: Prbcteroies q: Prbcteroies_istsonis r: Porphyromoncee s: Prevotell t: Prevotell_copri u: Prevotellcee v: Rikenellcee w: S24_7 x: Bcteroiles y: YS2 z: Stphylococcus : Stphylococccee 1: Bcillles 2: Enterococcus 3: Enterococccee 4: Lctobcillus 5: Lctobcillcee 6: Lctobcillles 7: Christensenellcee 8: Cnitus_rthromitus 9: Clostriicee b: Dehlobcterium b1: Dehlobctericee b2: Anerofustis b3: Eubctericee b4: Bluti b5: Bluti_obeum b6: Coprococcus b7: Coprococcus_eutctus b8: Dore b9: Dore_formicigenerns c: Ruminococcus c1: Ruminococcus_gnvus c1: Ruminococcus_torques c3: Lchnospirchee c4: Mogibctericee c5: rc4_4 c6: Peptococccee c7: Feclibcterium_prusnitzii c8: Ruminocuccus c9: Ruminocucccee : Phscolrctobcterium 1: Vellionellcee 2: Clostriiles 3: Allobculum 4: Coprobcillus 5: Eubcterium _olichum 6: cc115 7: Erysipelotrichcee 8: RF32 9: Suturell e: Alcligencee e1: Oxlobcter_formigenes e2: Oxlobctercee e3: Burkholeriles e4: Bilophil e5: Desulfovibrio e6: Desulfovibrioncee e7: Desulfovibrionles e8: Enterobctericee e9: Enterobcteriles f: Aneroplsm f1: Aneroplsmtcee f2: Aneroplsmtles f3: RF39 f4: Akkermnsi_muciniphil f5: Verrucomicrobicee f6: Verrucomicrobiles Supplementl Figure S3. Clogrm representing OTUs of sttisticl n biologicl ifference between cecum microbiot of CONV-M n CONV-H mice fter 15 weeks of coloniztion. Ech circle imeter is proportionl to OTU s bunnce. n=6-1 smples/group.

9 A B C Primry BAs Seconry BAs CONV-M 2 w CONV-H 2 w CONV-H D2 2 w D E F CONV-M 15 w CONV-H 15 w CONV-H D2 15 w Supplementl Figure S4. Reltive mounts of primry n seconry BAs in cecum of mice colonize with mouse or humn microbiot. (A-F) Primry n seconry BAs in cecum fter 2 weeks (A-C) or 15 weeks (D-F) coloniztion with mouse microbiot (A n D), humn microbiot from the first humn onor (CONV-H) (B n E) or the secon humn onor (CONV-H D2) (C n F). Primry bile cis, TCA, CA, TCDCA, CDCA, TαMCA, αmca, TβMCA, βmca, TUDCA, UDCA); seconry BAs, DCA, iso-dca, HCA, HDCA, LCA, MDCA, ωmca,

10 A B C Conjugte BAs Unconjugte BAs CONV-M 2 w CONV-H 2 w CONV-H D2 2 w D E F CONV-M 15 w CONV-H 15 w CONV-H D2 15 w Supplementl Figure S5. Reltive mounts of conjugte n unconjugte BAs in cecum of mice colonize with mouse or humn microbiot. (A-F) Conjugte n unconjugte BAs in cecum fter 2 weeks (A-C) or 15 weeks (D-F) coloniztion with mouse microbiot (CONV-M) (A n D), humn microbiot from the first humn onor (CONV-H) (B n E) or the secon humn onor (CONV-H D2) (C n F). Conjugte BAs, TCA, TCDCA, TDCA, THDCA, TαMCA, TβMCA, TωMCA, TUDCA; unconjugte BAs, CA, CDCA, DCA, iso-dca, HCA, HDCA, LCA, αmca, βmca, ωmca, MDCA, UDCA.

11 A B Concentrtion of BAs (mm) TCA TDCA GCA CA TCA h TCA 24 h DCA Concentrtion of BAs (mm) TCA TDCA GCA CA DCA CA h CA 24 h Supplementl Figure S6. Metbolism of TCA n CA by humn microbiot in vitro. (A) Concentrtion of BAs in suspensions of humn fecl smples incubte in BHI meium with TCA (A) or CA (B) for 24 hours. Men vlues ± SEM re plotte; n=2 smples for ech time point.

12 A FXR gonist/ntgonist rtio in liver 2 w 15 w B FXR gonist/ntgonist rtio in gllbler w 15 w b GF CONV-M CONV-H C FXR gonist/ntgonist rtio in portl vein w 15 w D FXR gonist/ntgonist rtio in ven cv w 15 w Supplementl Figure S7. Chnges in the rtio between FXR gonists n ntgonists fter coloniztion. (A-D) Rtio between FXR gonists n ntgonists in liver (A), gllbler (B), portl vein (C) n cvl vein (D). Men vlues ± SEM re plotte. n= 4-9 smples/group; P<.5, b P<.1, c P<.1, P<.1 inicte ifferences vs GF with ANOVA n Dunnett s multiple comprisons test. FXR gonists, TCA, TCDCA, TDCA, TLCA, CA, CDCA, DCA, LCA; FXR ntgonists, TαMCA, TβMCA.

13 Supplementl Tble S1. Bile ci (BA) content in liver. Amounts of BAs in the whole orgn for ech group of mice. BAs >.1% bunnce re inclue. BAs (nmol/orgn), reltive liver weight (mg/g boy weight) n boy weight (g) re presente s men ± SEM; n = 5-9 smples/group; P<.5, b P <.1, c P <.1, P <.1 inicte ifferences vs GF mice with ANOVA n Tukey s multiple comprisons test. Liver BAs GF CONV-M (2 w) CONV-H ( 2w) CONV-M (15 w) CONV-H (15w) TMCA.19 ±.3.21 ±.4.19 ±.4.8 ±.2.7 ±.1 TbMCA.77 ± ± ± ±.21 b.279 ±.44 TwMCA.77 ± ±.7.1 ±. TCA.291 ± ± ± ± ±.32 TUDCA.4 ±.1.3 ±.1.5 ±.1.2 ±..2 ±. THDCA.3 ±.1 trces TCDCA.8 ±.1.5 ±.1.5 ±.1.2 ±. b.2 ±. c TDCA.9 ±.2.2 ±.1.4 ±.1.1 ±. bmca.3 ±.1 trces.4 ±.2 trces.3 ±.1 CA trces Totl BA 1.95 ± ± ± ±.56 b.463 ±.77 b Reltive liver weight 44. ± ± ± ± ±.71 Boy weight 29.2 ± ± ± ± 2.1 c 29.3 ±.8

14 Supplementl Tble S2. Bile ci (BA) content in gllbler. Amounts of BAs in the whole orgn for ech group of mice. BAs >.1% bunnce re inclue. BAs (nmol/orgn) n reltive weights (mg/g boy weight) re presente s men ± SEM; n = 5-9 smples/group; P<.5, b P <.1, c P <.1, P <.1 inicte ifferences vs GF mice with ANOVA n Tukey s multiple comprisons test. Gllbler BAs GF CONV-M (2 w) CONV-H (2 w) CONV-M (15 w) CONV-H (15 w) TMCA ± ± ± 9.34 b ± ± 9.9 TbMCA ± ± b ± b ± ± TwMCA ± c ± ± 3.56 TCA ± ± ± b ± ± TUDCA ± ± ± 3.53 c ± ± 1.1 THDCA ± ± 5.77 b ± 1.26 TCDCA ± ± 2.48 b ± 1.4 b ± 6.6 trces TDCA 4.5 ± ± 9.44 trces bmca 24.3 ± trces wmca 2.98 ± 1.55 b CA trces ± b Totl BA ± ± c ± 9.31 c ± ± b Reltive gllbler weight 2.85 ± ±.8.67 ± ± ±.15

15 Supplementl Tble S3. Bile ci (BA) content in cecum. Amounts of BAs in the whole orgn for ech group of mice. BAs >.1% bunnce re inclue. BAs (nmol/orgn) n reltive weights (mg/g boy weight) re presente s men ± SEM; n = 5-9 smples/group; P<.5, b P <.1, c P <.1 P <.1 inicte ifferences vs GF mice with ANOVA n Tukey s multiple comprisons test. Cecum BAs GF CONV-M (2 w) CONV-H (2 w) CONV-M (15 w) CONV-H (15 w) TMCA ± ± ± ± ± 5.5 TbMCA ± ± c ± c ± 31. c ± c TwMCA 27.2 ± ± 7.57 trces TCA ± ± ± 6.27 b ± b ± 16.5 TUDCA 3.13 ±.35 trces.68 ±.9 c trces THDCA 1.65 ±.73 trces trces TCDCA 2.33 ±.37 trces TDCA 3.5 ± 1.39 trces 1.67 ±.3 MCA 3.5 ± ± ± ±.47 bmca 23.1 ± ± ± ± b wmca ± ± ± ±.89 CA ± ± ± b ± HCA trces UDCA.98 ± ± ±.38 c 1.33 ±.22 MDCA trces trces trces HDCA 13.2 ± 3.52 c 2.58 ± ± 1.91 c 5. ±.74 CDCA.88 ± 1.19 trces trces DCA ± c 22.9 ± ± ± 11.1 LCA 5.63 ±.92 c 4.24 ± ±.82 b 1.81 ±.53 Totl BA ± ± ± ± ± Reltive cecum weight ± ± ± ± ± 1,8

16 Supplementl Tble S4. Bile ci (BA) content in portl vein. BA concentrtions (nmol/ml) in portl vein serum for ech group of mice. BAs >.1% bunnce re inclue n presente s men ± SEM; n = 5-9 smples/group; P<.5, b P <.1, c P <.1, P <.1 inicte ifferences vs GF mice with ANOVA n Tukey s multiple comprisons test. Portl vein BAs GF CONV-M (2 w) CONV-H (2 w) CONV-M (15 w) CONV-H (15 w) TMCA 6.95 ± ± ± ± ±.44 TbMCA ± ± c ± 15. b 38.3 ± c ± c TwMCA 1.4 ± 3.43 b 1.68 ± 3.28 b trces TCA ± ± ± ± ± 7.66 TUDCA 2.1 ± ±.11 b.69 ± ±.1 b.56 ±.1 c THDCA.32 ±.8 trces.46 ± ±.6 TCDCA 1.47 ± ±.5 b.53 ±.9 trces.34 ±.6 c TDCA.76 ±.18 trces.85 ±.2 b.24 ±.4 MCA.24 ±.5.52 ±.16 trces bmca 1.8 ± ± ± ± 1.82 wmca 1.37 ± ±.86 CA 7.6 ± ± ± 5.65 b 6.57 ± 1.43 UDCA trces.55 ±.1.26 ±.5 HDCA.13 ±.4.27 ±.3 CDCA trces DCA 1.27 ± ± ± ±.5 Totl BA ± ± b ± ± b ± b

17 Supplementl Tble S5. Bile ci (BA) content in cvl vein. BA concentrtions (nmol/ml) in cvl vein serum for ech group of mice. BAs >.1% bunnce re inclue n presente s men ± SEM; n = 5-9 smples/group; P<.5, b P <.1, c P <.1, P <.1 inicte ifferences vs GF mice with ANOVA n Tukey s multiple comprisons test. Cvl vein BAs GF CONV-M (2 w) CONV-H (2 w) CONV-M (15 w) CONV-H (15 w) TMCA.37 ±.13.2 ±.1.9 ±.4.4 ±.1.5 ±.2 TbMCA ± ± ±.67.3 ± ±.49 TwMCA.8 ±.2.14 ±.4 TCA 7.5 ± ± ± ± ±.52 TUDCA.6 ±.2 trces.1 ±. trces.1 ±. THDCA trces.1 ±..1 ±..1 ±..1 ±. TCDCA.7 ±.2.1 ±..2 ±..1 ±. TDCA.3 ±.1.1 ±.1.3 ±.1.1 ±. MCA.2 ±.1.2 ±.1.1 ±. bmca.9 ±.3.8 ±.2.33 ± ±.22.8 ±.23 wmca.11 ±.4.44 ±.12.1 ±. CA.19 ±.5.12 ±.8.99 ±.27 b.28 ±.8 UDCA trces.1 ±.1.3 ±.1.2 ±.1 MDCA trces HDCA.1 ±. trces.1 ±..1 ±. CDCA trces trces DCA.7 ±.2.2 ±.1.13 ±.1.2 ±. Totl BA 22.2 ± ± ± ± ± 1.25

Problem 22: Buffer solutions 1. The equilibrium, which governs the concentration of H + within the solution is HCOOH! HCOO + H + + Hence K

Problem 22: Buffer solutions 1. The equilibrium, which governs the concentration of H + within the solution is HCOOH! HCOO + H + + Hence K Problem : Buffer solutions. The equilibrium, hich governs the concentrtion of H ithin the solution is HCOOH! HCOO H [HCOO ] 4 Hence. [HCOOH] nd since [HCOOH] 0.00 M nd [HCOO ] 0.50 M -4 0.00 4..8 M 0.50

More information

Vertical uniformity of cells and nuclei in epithelial monolayers

Vertical uniformity of cells and nuclei in epithelial monolayers Supplementry informtion Verticl uniformity of cells nd nuclei in epithelil monolyers Srujn Neelm b, Peter Hyes, Qio Zhng, Richrd B. Dickinson nd Tnmy P. Lele, Figure S1. Histogrm plots compre the frequency

More information

LECTURE 14. Dr. Teresa D. Golden University of North Texas Department of Chemistry

LECTURE 14. Dr. Teresa D. Golden University of North Texas Department of Chemistry LECTURE 14 Dr. Teres D. Golden University of North Texs Deprtment of Chemistry Quntittive Methods A. Quntittive Phse Anlysis Qulittive D phses by comprison with stndrd ptterns. Estimte of proportions of

More information

Supporting Information. Lignin Extraction and Catalytic Upgrading from Genetically. Modified Poplar

Supporting Information. Lignin Extraction and Catalytic Upgrading from Genetically. Modified Poplar Electronic Supplementry Mteril (ESI) for Green Chemistry. This journl is The Royl Society of Chemistry 2017 Supporting Informtion Lignin Extrction nd Ctlytic Upgrding from Geneticlly Modified Poplr Ho

More information

SUPPLEMENTARY INFORMATION

SUPPLEMENTARY INFORMATION doi:.38/nture8499 doi:.38/nture8499 5 6 5 4.5 Firing rte (Hz) -67-65 -66-6 -58 V m (mv) -7-67 -68-66 -64 c Thet power (mv ) -73-69 -7-7 -7.5.8 3....9.9.4.6.6. 9 8 9 8 9 8 9 8 9 8 Supplementry Figure Firing

More information

9-1 (a) A weak electrolyte only partially ionizes when dissolved in water. NaHCO 3 is an

9-1 (a) A weak electrolyte only partially ionizes when dissolved in water. NaHCO 3 is an Chpter 9 9- ( A ek electrolyte only prtilly ionizes hen dissolved in ter. NC is n exmple of ek electrolyte. (b A Brønsted-ory cid is cule tht dontes proton hen it encounters bse (proton cceptor. By this

More information

SUMMER KNOWHOW STUDY AND LEARNING CENTRE

SUMMER KNOWHOW STUDY AND LEARNING CENTRE SUMMER KNOWHOW STUDY AND LEARNING CENTRE Indices & Logrithms 2 Contents Indices.2 Frctionl Indices.4 Logrithms 6 Exponentil equtions. Simplifying Surds 13 Opertions on Surds..16 Scientific Nottion..18

More information

Changes in ph and microbial composition in the ruminal and reticular fluids of SARA cattle

Changes in ph and microbial composition in the ruminal and reticular fluids of SARA cattle 66 th EAAP Annul Meeting (Wrsw, 215) Chnges in ph nd microil composition in the ruminl nd reticulr fluids of SARA cttle Shigeru SATO Coopertive Deprtment of Veterinry Medicine, Fculty of Agriculture, Iwte

More information

Tests for the Ratio of Two Poisson Rates

Tests for the Ratio of Two Poisson Rates Chpter 437 Tests for the Rtio of Two Poisson Rtes Introduction The Poisson probbility lw gives the probbility distribution of the number of events occurring in specified intervl of time or spce. The Poisson

More information

Alignment of Long Sequences. BMI/CS Spring 2016 Anthony Gitter

Alignment of Long Sequences. BMI/CS Spring 2016 Anthony Gitter Alignment of Long Sequences BMI/CS 776 www.biostt.wisc.edu/bmi776/ Spring 2016 Anthony Gitter gitter@biostt.wisc.edu Gols for Lecture Key concepts how lrge-scle lignment differs from the simple cse the

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

Chapter 9: Inferences based on Two samples: Confidence intervals and tests of hypotheses

Chapter 9: Inferences based on Two samples: Confidence intervals and tests of hypotheses Chpter 9: Inferences bsed on Two smples: Confidence intervls nd tests of hypotheses 9.1 The trget prmeter : difference between two popultion mens : difference between two popultion proportions : rtio of

More information

MATHS NOTES. SUBJECT: Maths LEVEL: Higher TEACHER: Aidan Roantree. The Institute of Education Topics Covered: Powers and Logs

MATHS NOTES. SUBJECT: Maths LEVEL: Higher TEACHER: Aidan Roantree. The Institute of Education Topics Covered: Powers and Logs MATHS NOTES The Institute of Eduction 06 SUBJECT: Mths LEVEL: Higher TEACHER: Aidn Rontree Topics Covered: Powers nd Logs About Aidn: Aidn is our senior Mths techer t the Institute, where he hs been teching

More information

A Signal-Level Fusion Model for Image-Based Change Detection in DARPA's Dynamic Database System

A Signal-Level Fusion Model for Image-Based Change Detection in DARPA's Dynamic Database System SPIE Aerosense 001 Conference on Signl Processing, Sensor Fusion, nd Trget Recognition X, April 16-0, Orlndo FL. (Minor errors in published version corrected.) A Signl-Level Fusion Model for Imge-Bsed

More information

Controllable Microfluidic Production of Multicomponent Multiple Emulsions

Controllable Microfluidic Production of Multicomponent Multiple Emulsions Supplementry Mteril (ESI) or L on Chip This journl is The Royl Society o Chemistry 0 Controllle Microluiic Prouction o Multicomponent Multiple Emulsions Supplementry Mteril Wei Wng, Rui Xie *, Xio-Jie

More information

supplementary information

supplementary information DOI: 1.138/nc8 Top-GFP!-ctenin GFP Intensity 3 1 1 3 5 6 7 8 Nucler Bet-Ctenin c MUC FABP KRT 8 5 3 6 15 1 5 LGR5 ASCL AXIN 15 5 15 5 Figure S1 TOP-GFP expression nd reltion with nucler β-ctenin, wnt trgets

More information

Supplemental Information. Fv-clasp: An Artificially Designed Small Antibody. Fragment with Improved Production

Supplemental Information. Fv-clasp: An Artificially Designed Small Antibody. Fragment with Improved Production Structure, Volume Supplementl Informtion : An Artificilly Designed Smll Antibody Frgment with Improved Production Comptibility, Stbility, nd Crystllizbility Tko Arimori, Yu Kitgo, Mstk Umitsu, Yuki Fujii,

More information

AP Calculus BC Review Applications of Integration (Chapter 6) noting that one common instance of a force is weight

AP Calculus BC Review Applications of Integration (Chapter 6) noting that one common instance of a force is weight AP Clculus BC Review Applictions of Integrtion (Chpter Things to Know n Be Able to Do Fin the re between two curves by integrting with respect to x or y Fin volumes by pproximtions with cross sections:

More information

When, Ti(IV)-Fe(III) and Ti(IV)-Zr(IV) binary mixtures were passed through the column at ph

When, Ti(IV)-Fe(III) and Ti(IV)-Zr(IV) binary mixtures were passed through the column at ph Electronic Supplementry Mteril (ESI) for RSC Advnces. This journl is The Royl Society of Chemistry 2014 Supplementry dt: The distribution co-efficient (K d ) t different ph hs been computed (eq. 2) nd

More information

SUPPLEMENTARY NOTES ON THE CONNECTION FORMULAE FOR THE SEMICLASSICAL APPROXIMATION

SUPPLEMENTARY NOTES ON THE CONNECTION FORMULAE FOR THE SEMICLASSICAL APPROXIMATION Physics 8.06 Apr, 2008 SUPPLEMENTARY NOTES ON THE CONNECTION FORMULAE FOR THE SEMICLASSICAL APPROXIMATION c R. L. Jffe 2002 The WKB connection formuls llow one to continue semiclssicl solutions from n

More information

Particle Lifetime. Subatomic Physics: Particle Physics Lecture 3. Measuring Decays, Scatterings and Collisions. N(t) = N 0 exp( t/τ) = N 0 exp( Γt/)

Particle Lifetime. Subatomic Physics: Particle Physics Lecture 3. Measuring Decays, Scatterings and Collisions. N(t) = N 0 exp( t/τ) = N 0 exp( Γt/) Sutomic Physics: Prticle Physics Lecture 3 Mesuring Decys, Sctterings n Collisions Prticle lifetime n with Prticle ecy moes Prticle ecy kinemtics Scttering cross sections Collision centre of mss energy

More information

SUPPLEMENTARY INFORMATION

SUPPLEMENTARY INFORMATION doi:1.138/nture11444 CMKIIN Gold prticles/ mitochondril re ( m ) 4 3 1 CMKIIN mtcmkiin mtcmkiin SERCA ATP synthse HA mitoplsts mtcmkiin CMKIIN cytosolic mtcmkiin CMKIIN 97 kdl 64 kdl 51 kdl 14 kdl 6 kdl

More information

New data structures to reduce data size and search time

New data structures to reduce data size and search time New dt structures to reduce dt size nd serch time Tsuneo Kuwbr Deprtment of Informtion Sciences, Fculty of Science, Kngw University, Hirtsuk-shi, Jpn FIT2018 1D-1, No2, pp1-4 Copyright (c)2018 by The Institute

More information

Precalculus Spring 2017

Precalculus Spring 2017 Preclculus Spring 2017 Exm 3 Summry (Section 4.1 through 5.2, nd 9.4) Section P.5 Find domins of lgebric expressions Simplify rtionl expressions Add, subtrct, multiply, & divide rtionl expressions Simplify

More information

1 Online Learning and Regret Minimization

1 Online Learning and Regret Minimization 2.997 Decision-Mking in Lrge-Scle Systems My 10 MIT, Spring 2004 Hndout #29 Lecture Note 24 1 Online Lerning nd Regret Minimiztion In this lecture, we consider the problem of sequentil decision mking in

More information

Chemistry Department. The Islamic University of Gaza. General Chemistry B.(CHEMB 1301) Time:2 hours الرقم الجامعي... اسم المدرس...

Chemistry Department. The Islamic University of Gaza. General Chemistry B.(CHEMB 1301) Time:2 hours الرقم الجامعي... اسم المدرس... The Islmic University of Gz Chemistry Deprtment Generl Chemistry B.(CHEMB 1301) Time:2 hours 60 اسم الطالب... الرقم الجامعي... اسم المدرس... R = 8.314 J/mol.K, or = 0.0821 L.tm/mol.K Q1- True ( ) or flse(

More information

Math 116 Final Exam April 26, 2013

Math 116 Final Exam April 26, 2013 Mth 6 Finl Exm April 26, 23 Nme: EXAM SOLUTIONS Instructor: Section:. Do not open this exm until you re told to do so. 2. This exm hs 5 pges including this cover. There re problems. Note tht the problems

More information

First Semester Review Calculus BC

First Semester Review Calculus BC First Semester Review lculus. Wht is the coordinte of the point of inflection on the grph of Multiple hoice: No lcultor y 3 3 5 4? 5 0 0 3 5 0. The grph of piecewise-liner function f, for 4, is shown below.

More information

PHYS Summer Professor Caillault Homework Solutions. Chapter 2

PHYS Summer Professor Caillault Homework Solutions. Chapter 2 PHYS 1111 - Summer 2007 - Professor Cillult Homework Solutions Chpter 2 5. Picture the Problem: The runner moves long the ovl trck. Strtegy: The distnce is the totl length of trvel, nd the displcement

More information

Studies on Simultaneous Determination of Chlorophyll a and b, Pheophorbide a, and β-carotene in Chlorella and Spirulina Products

Studies on Simultaneous Determination of Chlorophyll a and b, Pheophorbide a, and β-carotene in Chlorella and Spirulina Products J. Fd Hyg. Sfety 20(3), 141 146 (2005) j v ù t w, b, r s β-e p w Á½ Á½ Áw Á w Á z Á t t Studies on Simultneous Determintion of nd b, Pheophorbide, nd β-crotene in Chlorell nd Spirulin Products Young J

More information

cha1873x_p06.qxd 4/12/05 11:50 AM Page 568 PART SIX

cha1873x_p06.qxd 4/12/05 11:50 AM Page 568 PART SIX ch1873x_p6.qx 4/12/5 11:5 AM Pge 568 PART SIX NUMERICAL DIFFERENTIATION AND INTEGRATION PT6.1 MOTIVATION Clculus is the mthemtics of chnge. Becuse engineers must continuously el with systems n processes

More information

UniversitaireWiskundeCompetitie. Problem 2005/4-A We have k=1. Show that for every q Q satisfying 0 < q < 1, there exists a finite subset K N so that

UniversitaireWiskundeCompetitie. Problem 2005/4-A We have k=1. Show that for every q Q satisfying 0 < q < 1, there exists a finite subset K N so that Problemen/UWC NAW 5/7 nr juni 006 47 Problemen/UWC UniversitireWiskundeCompetitie Edition 005/4 For Session 005/4 we received submissions from Peter Vndendriessche, Vldislv Frnk, Arne Smeets, Jn vn de

More information

DIRECT CURRENT CIRCUITS

DIRECT CURRENT CIRCUITS DRECT CURRENT CUTS ELECTRC POWER Consider the circuit shown in the Figure where bttery is connected to resistor R. A positive chrge dq will gin potentil energy s it moves from point to point b through

More information

Chem 130 Third Exam. ö ø. Name

Chem 130 Third Exam. ö ø. Name Nme Chem 130 Third Exm On the following pges re eight questions tht consider topics rnging from precipittion solubility, cid bse, nd oxidtion reduction rections to metl lignd complexes nd coordintion compounds.

More information

SESSION 2 Exponential and Logarithmic Functions. Math 30-1 R 3. (Revisit, Review and Revive)

SESSION 2 Exponential and Logarithmic Functions. Math 30-1 R 3. (Revisit, Review and Revive) Mth 0-1 R (Revisit, Review nd Revive) SESSION Eponentil nd Logrithmic Functions 1 Eponentil nd Logrithmic Functions Key Concepts The Eponent Lws m n 1 n n m m n m n m mn m m m m mn m m m b n b b b Simplify

More information

CBE 291b - Computation And Optimization For Engineers

CBE 291b - Computation And Optimization For Engineers The University of Western Ontrio Fculty of Engineering Science Deprtment of Chemicl nd Biochemicl Engineering CBE 9b - Computtion And Optimiztion For Engineers Mtlb Project Introduction Prof. A. Jutn Jn

More information

Exponentials & Logarithms Unit 8

Exponentials & Logarithms Unit 8 U n i t 8 AdvF Dte: Nme: Eponentils & Logrithms Unit 8 Tenttive TEST dte Big ide/lerning Gols This unit begins with the review of eponent lws, solving eponentil equtions (by mtching bses method nd tril

More information

Chem 130 Third Exam. Total /100

Chem 130 Third Exam. Total /100 Nme Chem 130 Third Exm On the following pges you will find eight questions covering vries topics rnging from precipittion solubility, cid bse, nd oxidtion reduction rections to metl lignd complexes nd

More information

Poly(vinylamine) Microgels: ph-responsive Particles with High Primary Amine Contents

Poly(vinylamine) Microgels: ph-responsive Particles with High Primary Amine Contents SUPPLEMENTARY INFORMATION Poly(vinylmine) Microgels: ph-responsive Prticles with High Primry Amine Contents Sineent Thioonro, Cory Berkln, Amir H. Milni, Rein Ulijn c n Brin R. Suners, * Polymer Science

More information

Determination of Anions in Acid Rain by Ion Chromatography

Determination of Anions in Acid Rain by Ion Chromatography Appliction Updte 16 Determintion of Anions in Acid Rin by Ion Chromtogrphy INTRODUCTION The increse in cidity of wet nd dry tmospheric depositions hs been ttributed to the increse of SO 2 nd NO 2 emissions

More information

Chem 130 Third Exam Key

Chem 130 Third Exam Key Nme Chem 130 Third Exm Key On the following pges re eight questions tht consider topics rnging from precipittion solubility, cid bse, nd oxidtion reduction rections to metl lignd complexes nd coordintion

More information

Distance And Velocity

Distance And Velocity Unit #8 - The Integrl Some problems nd solutions selected or dpted from Hughes-Hllett Clculus. Distnce And Velocity. The grph below shows the velocity, v, of n object (in meters/sec). Estimte the totl

More information

Advanced Functions Page 1 of 3 Investigating Exponential Functions y= b x

Advanced Functions Page 1 of 3 Investigating Exponential Functions y= b x Advnced Functions Pge of Investigting Eponentil Functions = b Emple : Write n Eqution to Fit Dt Write n eqution to fit the dt in the tble of vlues. 0 4 4 Properties of the Eponentil Function =b () The

More information

Ch. 24 Molecular Reaction Dynamics 1. Collision Theory 2. Diffusion-Controlled Reaction

Ch. 24 Molecular Reaction Dynamics 1. Collision Theory 2. Diffusion-Controlled Reaction Ch. 4 Moleculr Rection Dynmics 1. Collision Theory. Diffusion-Controlle Rection Lecture 17 3. The Mteril Blnce Eqution 4. Trnsition Stte Theory: The Eyring Eqution 5. Trnsition Stte Theory: Thermoynmic

More information

CHAPTER 08: MONOPROTIC ACID-BASE EQUILIBRIA

CHAPTER 08: MONOPROTIC ACID-BASE EQUILIBRIA Hrris: Quntittive Chemicl Anlysis, Eight Edition CHAPTER 08: MONOPROTIC ACIDBASE EQUILIBRIA CHAPTER 08: Opener A CHAPTER 08: Opener B CHAPTER 08: Opener C CHAPTER 08: Opener D CHAPTER 08: Opener E Chpter

More information

Research on the Quality Competence in Manufacturing Industry

Research on the Quality Competence in Manufacturing Industry Reserch on the Qulity Competence in Mnufcturing Industry Xioping M, Zhijun Hn Economics nd Mngement School Nnjing University of Science nd Technology Nnjing 210094, Chin Tel: 86-25-8431-5400 E-mil: hnzhij4531@sin.com

More information

Non-Linear & Logistic Regression

Non-Linear & Logistic Regression Non-Liner & Logistic Regression If the sttistics re boring, then you've got the wrong numbers. Edwrd R. Tufte (Sttistics Professor, Yle University) Regression Anlyses When do we use these? PART 1: find

More information

3.2.2 Kinetics. Maxwell Boltzmann distribution. 128 minutes. 128 marks. Page 1 of 12

3.2.2 Kinetics. Maxwell Boltzmann distribution. 128 minutes. 128 marks. Page 1 of 12 3.. Kinetics Mxwell Boltzmnn distribution 8 minutes 8 mrks Pge of M. () M On the energy xis E mp t the mximum of the originl pek M The limits for the horizontl position of E mp re defined s bove the word

More information

Comparison Procedures

Comparison Procedures Comprison Procedures Single Fctor, Between-Subects Cse /8/ Comprison Procedures, One-Fctor ANOVA, Between Subects Two Comprison Strtegies post hoc (fter-the-fct) pproch You re interested in discovering

More information

a < a+ x < a+2 x < < a+n x = b, n A i n f(x i ) x. i=1 i=1

a < a+ x < a+2 x < < a+n x = b, n A i n f(x i ) x. i=1 i=1 Mth 33 Volume Stewrt 5.2 Geometry of integrls. In this section, we will lern how to compute volumes using integrls defined by slice nlysis. First, we recll from Clculus I how to compute res. Given the

More information

( ) Same as above but m = f x = f x - symmetric to y-axis. find where f ( x) Relative: Find where f ( x) x a + lim exists ( lim f exists.

( ) Same as above but m = f x = f x - symmetric to y-axis. find where f ( x) Relative: Find where f ( x) x a + lim exists ( lim f exists. AP Clculus Finl Review Sheet solutions When you see the words This is wht you think of doing Find the zeros Set function =, fctor or use qudrtic eqution if qudrtic, grph to find zeros on clcultor Find

More information

3.1 Exponential Functions and Their Graphs

3.1 Exponential Functions and Their Graphs . Eponentil Functions nd Their Grphs Sllbus Objective: 9. The student will sketch the grph of eponentil, logistic, or logrithmic function. 9. The student will evlute eponentil or logrithmic epressions.

More information

Sample Problems for the Final of Math 121, Fall, 2005

Sample Problems for the Final of Math 121, Fall, 2005 Smple Problems for the Finl of Mth, Fll, 5 The following is collection of vrious types of smple problems covering sections.8,.,.5, nd.8 6.5 of the text which constitute only prt of the common Mth Finl.

More information

Module 9: Tries and String Matching

Module 9: Tries and String Matching Module 9: Tries nd String Mtching CS 240 - Dt Structures nd Dt Mngement Sjed Hque Veronik Irvine Tylor Smith Bsed on lecture notes by mny previous cs240 instructors Dvid R. Cheriton School of Computer

More information

Module 9: Tries and String Matching

Module 9: Tries and String Matching Module 9: Tries nd String Mtching CS 240 - Dt Structures nd Dt Mngement Sjed Hque Veronik Irvine Tylor Smith Bsed on lecture notes by mny previous cs240 instructors Dvid R. Cheriton School of Computer

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

Instantaneous Rate of Change of at a :

Instantaneous Rate of Change of at a : AP Clculus AB Formuls & Justiictions Averge Rte o Chnge o on [, ]:.r.c. = ( ) ( ) (lger slope o Deinition o the Derivtive: y ) (slope o secnt line) ( h) ( ) ( ) ( ) '( ) lim lim h0 h 0 3 ( ) ( ) '( ) lim

More information

Linear Systems with Constant Coefficients

Linear Systems with Constant Coefficients Liner Systems with Constnt Coefficients 4-3-05 Here is system of n differentil equtions in n unknowns: x x + + n x n, x x + + n x n, x n n x + + nn x n This is constnt coefficient liner homogeneous system

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

Jim Lambers MAT 169 Fall Semester Lecture 4 Notes

Jim Lambers MAT 169 Fall Semester Lecture 4 Notes Jim Lmbers MAT 169 Fll Semester 2009-10 Lecture 4 Notes These notes correspond to Section 8.2 in the text. Series Wht is Series? An infinte series, usully referred to simply s series, is n sum of ll of

More information

Psychrometric Applications

Psychrometric Applications Psychrometric Applictions The reminder of this presenttion centers on systems involving moist ir. A condensed wter phse my lso be present in such systems. The term moist irrefers to mixture of dry ir nd

More information

Cu 3 (PO 4 ) 2 (s) 3 Cu 2+ (aq) + 2 PO 4 3- (aq) circle answer: pure water or Na 3 PO 4 solution This is the common-ion effect.

Cu 3 (PO 4 ) 2 (s) 3 Cu 2+ (aq) + 2 PO 4 3- (aq) circle answer: pure water or Na 3 PO 4 solution This is the common-ion effect. CHEM 1122011 NAME: ANSWER KEY Vining, Exm # SHORT ANSWER QUESTIONS ============= 4 points ech ============ All work must be shown. 1. Wht re [H O ] nd [OH ] for solution tht hs ph of 9.0? Choose one. ()

More information

Title ghost-tree: creating hybrid-gene phylogenetic trees for diversity analyses

Title ghost-tree: creating hybrid-gene phylogenetic trees for diversity analyses 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 Title ghost-tree: creating hybrid-gene phylogenetic trees for diversity analyses

More information

A, Electromagnetic Fields Final Exam December 14, 2001 Solution

A, Electromagnetic Fields Final Exam December 14, 2001 Solution 304-351, Electrognetic Fiels Finl Ex Deceer 14, 2001 Solution 1. e9.8. In chpter9.proles.extr.two loops, e of thin wire crry equl n opposite currents s shown in the figure elow. The rius of ech loop is

More information

Math 42 Chapter 7 Practice Problems Set B

Math 42 Chapter 7 Practice Problems Set B Mth 42 Chpter 7 Prctice Problems Set B 1. Which of the following functions is solution of the differentil eqution dy dx = 4xy? () y = e 4x (c) y = e 2x2 (e) y = e 2x (g) y = 4e2x2 (b) y = 4x (d) y = 4x

More information

5 Accumulated Change: The Definite Integral

5 Accumulated Change: The Definite Integral 5 Accumulted Chnge: The Definite Integrl 5.1 Distnce nd Accumulted Chnge * How To Mesure Distnce Trveled nd Visulize Distnce on the Velocity Grph Distnce = Velocity Time Exmple 1 Suppose tht you trvel

More information

Supporting Information

Supporting Information Supporting Informtion Ultrfst nd Stble CO Cpture Using Alkli Metl Slt-Promoted MgO-CCO 3 Sorbents Hongjie Cui, Qiming Zhng, Yunwu Hu, Chong Peng, Xingchen Fng, Zhenmin Cheng, Vldimir V. Glvit nd Zhiming

More information

8.2 ESTIMATING DETENTION VOLUMES

8.2 ESTIMATING DETENTION VOLUMES 8.. Plnning versus Design number of detention bsin plnning methods hve been proposed in the professionl literture. These provide estimtes of the reuired volume of detention storge. The outlet structure

More information

Acceptance Sampling by Attributes

Acceptance Sampling by Attributes Introduction Acceptnce Smpling by Attributes Acceptnce smpling is concerned with inspection nd decision mking regrding products. Three spects of smpling re importnt: o Involves rndom smpling of n entire

More information

The Properties of Stars

The Properties of Stars 10/11/010 The Properties of Strs sses Using Newton s Lw of Grvity to Determine the ss of Celestil ody ny two prticles in the universe ttrct ech other with force tht is directly proportionl to the product

More information

A Brief Review on Akkar, Sandikkaya and Bommer (ASB13) GMPE

A Brief Review on Akkar, Sandikkaya and Bommer (ASB13) GMPE Southwestern U.S. Ground Motion Chrcteriztion Senior Seismic Hzrd Anlysis Committee Level 3 Workshop #2 October 22-24, 2013 A Brief Review on Akkr, Sndikky nd Bommer (ASB13 GMPE Sinn Akkr Deprtment of

More information

Outline Classes of diversity measures. Species Divergence and the Measurement of Microbial Diversity. How do we describe and compare diversity?

Outline Classes of diversity measures. Species Divergence and the Measurement of Microbial Diversity. How do we describe and compare diversity? Species Divergence and the Measurement of Microbial Diversity Cathy Lozupone University of Colorado, Boulder. Washington University, St Louis. Outline Classes of diversity measures α vs β diversity Quantitative

More information

UNIVERSITY OF MALTA DEPARTMENT OF CHEMISTRY. CH237 - Chemical Thermodynamics and Kinetics. Tutorial Sheet VIII

UNIVERSITY OF MALTA DEPARTMENT OF CHEMISTRY. CH237 - Chemical Thermodynamics and Kinetics. Tutorial Sheet VIII UNIVERSITY OF MALTA DEPARTMENT OF CHEMISTRY CH237 - Chemicl Thermodynmics nd Kinetics Tutoril Sheet VIII 1 () (i) The rte of the rection A + 2B 3C + D ws reported s 1.0 mol L -1 s -1. Stte the rtes of

More information

Math 153: Lecture Notes For Chapter 5

Math 153: Lecture Notes For Chapter 5 Mth 5: Lecture Notes For Chpter 5 Section 5.: Eponentil Function f()= Emple : grph f ) = ( if = f() 0 - - - - - - Emple : Grph ) f ( ) = b) g ( ) = c) h ( ) = ( ) f() g() h() 0 0 0 - - - - - - - - - -

More information

( ) where f ( x ) is a. AB/BC Calculus Exam Review Sheet. A. Precalculus Type problems. Find the zeros of f ( x).

( ) where f ( x ) is a. AB/BC Calculus Exam Review Sheet. A. Precalculus Type problems. Find the zeros of f ( x). AB/ Clculus Exm Review Sheet A. Preclculus Type prolems A1 Find the zeros of f ( x). This is wht you think of doing A2 Find the intersection of f ( x) nd g( x). A3 Show tht f ( x) is even. A4 Show tht

More information

Math 31S. Rumbos Fall Solutions to Assignment #16

Math 31S. Rumbos Fall Solutions to Assignment #16 Mth 31S. Rumbos Fll 2016 1 Solutions to Assignment #16 1. Logistic Growth 1. Suppose tht the growth of certin niml popultion is governed by the differentil eqution 1000 dn N dt = 100 N, (1) where N(t)

More information

PART 1 MULTIPLE CHOICE Circle the appropriate response to each of the questions below. Each question has a value of 1 point.

PART 1 MULTIPLE CHOICE Circle the appropriate response to each of the questions below. Each question has a value of 1 point. PART MULTIPLE CHOICE Circle the pproprite response to ech of the questions below. Ech question hs vlue of point.. If in sequence the second level difference is constnt, thn the sequence is:. rithmetic

More information

We partition C into n small arcs by forming a partition of [a, b] by picking s i as follows: a = s 0 < s 1 < < s n = b.

We partition C into n small arcs by forming a partition of [a, b] by picking s i as follows: a = s 0 < s 1 < < s n = b. Mth 255 - Vector lculus II Notes 4.2 Pth nd Line Integrls We begin with discussion of pth integrls (the book clls them sclr line integrls). We will do this for function of two vribles, but these ides cn

More information

ELE B7 Power Systems Engineering. Power System Components Modeling

ELE B7 Power Systems Engineering. Power System Components Modeling Power Systems Engineering Power System Components Modeling Section III : Trnsformer Model Power Trnsformers- CONSTRUCTION Primry windings, connected to the lternting voltge source; Secondry windings, connected

More information

Minnesota State University, Mankato 44 th Annual High School Mathematics Contest April 12, 2017

Minnesota State University, Mankato 44 th Annual High School Mathematics Contest April 12, 2017 Minnesot Stte University, Mnkto 44 th Annul High School Mthemtics Contest April, 07. A 5 ft. ldder is plced ginst verticl wll of uilding. The foot of the ldder rests on the floor nd is 7 ft. from the wll.

More information

Fig. 1. Open-Loop and Closed-Loop Systems with Plant Variations

Fig. 1. Open-Loop and Closed-Loop Systems with Plant Variations ME 3600 Control ystems Chrcteristics of Open-Loop nd Closed-Loop ystems Importnt Control ystem Chrcteristics o ensitivity of system response to prmetric vritions cn be reduced o rnsient nd stedy-stte responses

More information

Electronic supporting information

Electronic supporting information Electronic supporting informtion Post-polymeriztion functionliztion of liner polyglycidol with diethyl vinylphosphonte Jens Köhler, Helmut Keul* nd Mrtin Möller* Institute of Technicl nd Mcromoleculr Chemistry,

More information

SOLUTION OF QUADRATIC NONLINEAR PROBLEMS WITH MULTIPLE SCALES LINDSTEDT-POINCARE METHOD. Mehmet Pakdemirli and Gözde Sarı

SOLUTION OF QUADRATIC NONLINEAR PROBLEMS WITH MULTIPLE SCALES LINDSTEDT-POINCARE METHOD. Mehmet Pakdemirli and Gözde Sarı Mthemticl nd Computtionl Applictions, Vol., No., pp. 37-5, 5 http://dx.doi.org/.99/mc-5- SOLUTION OF QUADRATIC NONLINEAR PROBLEMS WITH MULTIPLE SCALES LINDSTEDT-POINCARE METHOD Mehmet Pkdemirli nd Gözde

More information

pivot F 2 F 3 F 1 AP Physics 1 Practice Exam #3 (2/11/16)

pivot F 2 F 3 F 1 AP Physics 1 Practice Exam #3 (2/11/16) AP Physics 1 Prctice Exm #3 (/11/16) Directions: Ech questions or incomplete sttements below is followed by four suggested nswers or completions. Select one tht is best in ech cse nd n enter pproprite

More information

Summary Information and Formulae MTH109 College Algebra

Summary Information and Formulae MTH109 College Algebra Generl Formuls Summry Informtion nd Formule MTH109 College Algebr Temperture: F = 9 5 C + 32 nd C = 5 ( 9 F 32 ) F = degrees Fhrenheit C = degrees Celsius Simple Interest: I = Pr t I = Interest erned (chrged)

More information

Lesson 1.6 Exercises, pages 68 73

Lesson 1.6 Exercises, pages 68 73 Lesson.6 Exercises, pges 68 7 A. Determine whether ech infinite geometric series hs finite sum. How do you know? ) + +.5 + 6.75 +... r is:.5, so the sum is not finite. b) 0.5 0.05 0.005 0.0005... r is:

More information

Scientific notation is a way of expressing really big numbers or really small numbers.

Scientific notation is a way of expressing really big numbers or really small numbers. Scientific Nottion (Stndrd form) Scientific nottion is wy of expressing relly big numbers or relly smll numbers. It is most often used in scientific clcultions where the nlysis must be very precise. Scientific

More information

Classification: Rules. Prof. Pier Luca Lanzi Laurea in Ingegneria Informatica Politecnico di Milano Polo regionale di Como

Classification: Rules. Prof. Pier Luca Lanzi Laurea in Ingegneria Informatica Politecnico di Milano Polo regionale di Como Metodologie per Sistemi Intelligenti Clssifiction: Prof. Pier Luc Lnzi Lure in Ingegneri Informtic Politecnico di Milno Polo regionle di Como Rules Lecture outline Why rules? Wht re clssifiction rules?

More information

The steps of the hypothesis test

The steps of the hypothesis test ttisticl Methods I (EXT 7005) Pge 78 Mosquito species Time of dy A B C Mid morning 0.0088 5.4900 5.5000 Mid Afternoon.3400 0.0300 0.8700 Dusk 0.600 5.400 3.000 The Chi squre test sttistic is the sum of

More information

AB Calculus Review Sheet

AB Calculus Review Sheet AB Clculus Review Sheet Legend: A Preclculus, B Limits, C Differentil Clculus, D Applictions of Differentil Clculus, E Integrl Clculus, F Applictions of Integrl Clculus, G Prticle Motion nd Rtes This is

More information

SPECIALIST MATHEMATICS

SPECIALIST MATHEMATICS Victorin Certificte of Euction 06 SUPERVISOR TO ATTACH PROCESSING LABEL HERE Letter STUDENT NUMBER SPECIALIST MATHEMATICS Written exmintion Friy 4 November 06 Reing time: 9.00 m to 9.5 m (5 minutes) Writing

More information

Lec 3: Power System Components

Lec 3: Power System Components Lec 3: Power System Components Dr. Mlbik Bsu 8/0/2009 Lesson pln 3 nd L.O. Sequence nlysis exmple ( detil fult nlysis next sem) Trnsformer model recp, tp chnge nd phse chnge, 3-phse Modeling of Synchronous

More information

APPROXIMATE INTEGRATION

APPROXIMATE INTEGRATION APPROXIMATE INTEGRATION. Introduction We hve seen tht there re functions whose nti-derivtives cnnot be expressed in closed form. For these resons ny definite integrl involving these integrnds cnnot be

More information

Series: Elementary, then Taylor & MacLaurin

Series: Elementary, then Taylor & MacLaurin Lecture 3 Series: Elementry, then Tylor & McLurin This lecture on series strts in strnge plce, by revising rithmetic nd geometric series, nd then proceeding to consider other elementry series. The relevnce

More information

Physics 201 Lab 3: Measurement of Earth s local gravitational field I Data Acquisition and Preliminary Analysis Dr. Timothy C. Black Summer I, 2018

Physics 201 Lab 3: Measurement of Earth s local gravitational field I Data Acquisition and Preliminary Analysis Dr. Timothy C. Black Summer I, 2018 Physics 201 Lb 3: Mesurement of Erth s locl grvittionl field I Dt Acquisition nd Preliminry Anlysis Dr. Timothy C. Blck Summer I, 2018 Theoreticl Discussion Grvity is one of the four known fundmentl forces.

More information

( ) as a fraction. Determine location of the highest

( ) as a fraction. Determine location of the highest AB Clculus Exm Review Sheet - Solutions A. Preclculus Type prolems A1 A2 A3 A4 A5 A6 A7 This is wht you think of doing Find the zeros of f ( x). Set function equl to 0. Fctor or use qudrtic eqution if

More information

Understanding the relationship between floral fragrance, ethylene production and vase life of cut rose flowers

Understanding the relationship between floral fragrance, ethylene production and vase life of cut rose flowers Ethylene, Frgrnce nd Vse Life of Cut Rose Flowers 9/27/216 Progress Report Understnding the reltionship between florl frgrnce, ethylene production nd vse life of cut rose flowers An Mri Bord Dvid Clrk

More information

Bayesian Networks: Approximate Inference

Bayesian Networks: Approximate Inference pproches to inference yesin Networks: pproximte Inference xct inference Vrillimintion Join tree lgorithm pproximte inference Simplify the structure of the network to mkxct inferencfficient (vritionl methods,

More information

( ) where f ( x ) is a. AB Calculus Exam Review Sheet. A. Precalculus Type problems. Find the zeros of f ( x).

( ) where f ( x ) is a. AB Calculus Exam Review Sheet. A. Precalculus Type problems. Find the zeros of f ( x). AB Clculus Exm Review Sheet A. Preclculus Type prolems A1 Find the zeros of f ( x). This is wht you think of doing A2 A3 Find the intersection of f ( x) nd g( x). Show tht f ( x) is even. A4 Show tht f

More information

Diverse modes of eco-evolutionary dynamics in communities of antibiotic-producing microorganisms

Diverse modes of eco-evolutionary dynamics in communities of antibiotic-producing microorganisms In the formt provided y the uthors nd unedited. ULEMENTAY INFOMATION VOLUME: 1 ATICLE NUMBE: 0189 iverse modes of eco-evolutionry dynmics in communities of ntiiotic-producing microorgnisms Klin Vetsigin

More information