SUPPLEMENTARY INFORMATION

Size: px
Start display at page:

Download "SUPPLEMENTARY INFORMATION"

Transcription

1 SULEMENTARY INORMATION doi:1.138/nture1394 Trnsduced Mcrophges 293T-Nip trnsfectnts NAI2 N2 N5 5 Blot: Nip2 Blot: Nip5 N1 lg N6 5 c Blot: lg Blot: Nip6 Wild-type Legionell infection: fla Legionell infection: B6 Nip5 -/- B6 Nip5 -/ %LDH Relese 6 %LDH Relese 6 Supplementry igure 1. NAI2 knockdown specificlly ffects NAI2 expression nd does not ffect expression of other NAI proteins. () Immortlized C57BL/6 mcrophges were trnsduced with NAI2- knockdown lentivirus or negtive controls, cell lystes were prepred, nd equl totl protein from ech smple were seprted y SDS-AGE nd western lotted for NAI2 expression. () HEK293T cells were co-trnsfected with NAI expression vectors nd.1 control vector, the NAI2 shrna constructs (NAI2 shrna#1-#3), or the.1- negtive control for 48h, followed y western lotting for expression of NAI proteins. No nti-nai1 ntiody exists, so lg-tgged NAI1 construct ws employed. (c) NAI2 knockdown cells were infected with wild-type or flgellin-deficient Legionell pneumophil (MOI=2) nd LDH relese ws mesured 4 hours fter initil infection. Dt shown ± s.d. re representtive of t lest three independent experiments. 1

2 RESEARCH SULEMENTARY INORMATION 47 1 Ln-lA + A Time (hrs.) Whole Cell Lyste WB : Cspse Ln-lA + A Time (hrs.) Whole Cell Lyste WB : IL-1 WB : β-ctin 1 Sup TCA ppt. WB : Cspse-1 () Trnsfection of 293T cells with, NAI5, nd CAS1 ws followed 18h lter y delivery of purified Ln-lA [5 ( tive of t lest three independent experiments. Trnsfected lsmids 6x-Myc-lA NAI5 I IgG Myc NAI5 11 WB 6 Myc Supplementry igure 3., NAI5, nd flgellin (la) cn e co-immunoprecipitted. 293T cells were trnsfected with NAI5,, nd 6x-Myc- la for 48 hours, nd digitonin cell extrcts were immunoprecipitted with either control IgG, nti-, or nti-myc ntiodies. Immunoprecipittes were seprted y SDS- AGE, nd Western lotted for NAI5,, or Myc. Dt shown re representtive of t lest three independent experiments. 2

3 SULEMENTARY INORMATION RESEARCH 4-12% 2D SDS-AGE Trnsfection: NAI5, 3-12% 1D Ntive AGE WB : NAI5 Trnsfected lsmids NAI5-lg NAI5-lg G-lA (Ntive) SDS-AGE (4-12%) NAI5-lg G-lA (Dentured prior to Ntive dimension) % 1D Ntive AGE WB : lg c Trnsfected lsmids 6x-Myc-lA 4-12% 2D SDS-AGE 3-12% 1D Ntive AGE WB : Myc d Ntive AGE NAI NAI5 loop NAI G-lA * Oligomerized NS e Ntive AGE CARD x-Myc-lA NAI5 * Oligomerized NS Monomer Monomer WB : NAI5 11 SDS- AGE 11 SDS- AGE 5 WB : Myc 65 WB : G WB : NAI5 WB : β-ctin WB : β-ctin Supplementry igure 4. ormtion of the inflmmsome depends on flgellin, the nd of NAI5, nd is independent of the CARD of. () NAI5 nd were expressed in 293T cells for 48 hours (without flgellin), followed y digitonin ntive cell extrct preprtion, nd seprtion y BN-AGE followed y second dimension of SDS-AGE. () NAI5-lg ws expressed in 293T cells in the sence of nd with or without G-flgellin, nd smples were treted s in, ut with western lotting to detect NAI5-lg. (c) As in, ut with expression of 6x-Myc-lA in plce of nd NAI5. (d) Wild-type NAI5, - la nd nlyzed s in igure 3. The -loop is essentil for the function of the nucleotide inding domin () e 6x-Myc-lA, or with oth 6x-Myc-lA nd NAI5 for 48 hours, followed y smple preprtion nd nlysis s in igure 3. *NS denotes non-specific nd. Dt shown re representtive of t lest three independent experi- 3

4 RESEARCH SULEMENTARY INORMATION 5 *** *** ns ns ns %G high cells wild-type (K1R) (K1R) LRR LRR CARD CAS1 NAI5 la *** ns ns ns %G high cells 3 1 NAI5 wild-type NAI5 -loop NAI5 LRR NAI5 347 CAS1 la Supplementry igure 5. Roles of nd NAI5 Domins in Responsiveness to Cytosolic lgellin. () Wild-type or mutnt constructs were trnsfected into 293T cells lone or with different comintions of CAS1, NAI5, nd la MSCV2.2-IRES-G expression vectors. orty-eight hours fter trnsfection, cells were collected, nd nlyzed y flow cytometry for G expression. The ility of (K1) to signl is surprising. Trnsduction of the (K1R) llele into Nlrc4-/- mcrophges confirmed tht the llele is indeed functionl, even in mcrophges (Supplementry ig. 6). We speculte tht lthough (K1R) cnnot uto-oligomerize it my still e le to e recruited to oligomerized NAI5 complexes nd my still e le to function s n dptor to recruit nd ctivte CAS1. () Wild-type or mutnt NAI5 constructs were trnsfected lone or in comintion with CAS1,, nd la for 48 hours, followed y nlysis for G expression. ns, not significnt;; ***, <.1. Dt shown (± s.d.) re representtive of t lest three independent experiments. 4

5 SULEMENTARY INORMATION RESEARCH %LDH Relese *** *** *** *** - A + A / Ln-lA %LDH Relese *** *** 1 *** *** - L2 fla + L2 (la+) 8 6 wt (K1R) (K1R) LRR LRR CARD Mscv2.2 Trnsduced Nlrc4-/- Mcrophges wt (K1R) (K1R) LRR LRR CARD Mscv2.2 Trnsduced Nlrc4-/- Mcrophges c B6 Trnsduced Nlrc4-/- Mcrophges B6 Nlrc4-/- B6 Nlrc4-/- Nlrc4-/- wt (K1R) (K1R) LRR LRR CARD Mscv WB: 42 WB: β-ctin Supplementry igure 6. Complementtion of immortlized Nlrc4 -/- mcrophges with wild-type nd mutnt Nlrc4 lleles. () Immortlized Nlrc4 -/- mcrophges were stly trnsduced with retrovirl vectors encoding wild-type lone or A plus Ln-lA. Mcrophge cell deth (± s.d.) ws mesured y LDH relese. Immortlized B6 mcrophges were used s positive control. () Stly trnsduced mcrophges were infected (MOI=2) with Legionell pneumophil (L2) or flgellin-deficient L. pneumophil fla), nd cell deth (± s.d.) ws mesured 4 hours lter y quntifying LDH relese. (c) Expression level of in B6, Nlrc4 -/-, nd stly trnsduced mcrophges, s ecuse it is constitutively ctive nd kills ny trnsduced cells. Dt shown re representtive of t lest three independent experiments. 5

6 RESEARCH SULEMENTARY INORMATION NAI5 Inflmmsome NAI5 lgellin CARD Cspse1 NAI2 Inflmmsome NAI2 rgj CARD Cspse1 Supplementry igure 7. Working model of NAI/ inflmmsome ssemly. NAI proteins re proposed to medite direct interctions with cteril lignds nd re mintined in n utoinhiited stte in the sence of lignd. NAI5 medites detection of flgellin nd NAI2 medites detection of rgj. In the presence of its stimultory lignd (flgellin, ;; or rgj, ), the of the relevnt NAI protein ssocite with lignd, utoinhiition is relesed, nd NAIs oligomerize vi their nucleotide inding domins (s). Although NAIs re shown here s the sole flgellin/rgj receptor, it is possile tht dditionl proteins, including, re involved in lignd inding. The precise rchitecture nd stoichiometry of the NAI5//flgellin complexes wits further crystllogrphic nlysis. or exmple, NAI5 nd my hetero-oligomerize (not shown). The dptor protein ASC is not shown in the figure ut presumly ssocites with ssemled NAI/ complexes nd hs previously een shown to e 6

7 SULEMENTARY INORMATION RESEARCH Ntive AGE NAI NAI2 - NAI G-lA rgj WB : NAI2 SDS-AGE 11 WB : NAI5 WB : G WB : -ctin Supplementry igure 8. NAI1 does not medite inflmmsome ssemly in response to flgellin or rgj. 293T cells were co-trnsfected with vectors encoding, NAI1, NAI2, NAI5, G-lA, nd/or rgj, followed y ntive gel electrophoresis nd western lotting for oligomerized (top pnel). Lystes were seprted y SDS-AGE nd Western lotted for NAI2, NAI5, 7

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

LETTER. The NLRC4 inflammasome receptors for bacterial flagellin and type III secretion apparatus

LETTER. The NLRC4 inflammasome receptors for bacterial flagellin and type III secretion apparatus doi:10.1038/nture10510 The NLRC4 inflmmsome receptors for cteril flgellin nd type III secretion pprtus Yue Zho 1,2 *, Jieling Yng 1,2 *, Jinjin Shi 2, Yi-Nn Gong 2, Qiuhe Lu 2,HoXu 2, Liping Liu 2 & Feng

More information

dsrna GFP 0 Ca 0 Ca 0 Ca TG Iono Time (s)

dsrna GFP 0 Ca 0 Ca 0 Ca TG Iono Time (s) Rtio (FL1/FL3) MFI dsrna GFP C dsrna dori C 1 2 1 2 Rtio (FL1/FL3) MFI C 1 2 Rtio (FL1/FL3) MFI C 1 2 C 1 2 C 1 2 Supplementry Figure 1. RNAi-medited depletion of dori hs no effet on the filling stte of

More information

Convert the NFA into DFA

Convert the NFA into DFA Convert the NF into F For ech NF we cn find F ccepting the sme lnguge. The numer of sttes of the F could e exponentil in the numer of sttes of the NF, ut in prctice this worst cse occurs rrely. lgorithm:

More information

Bases for Vector Spaces

Bases for Vector Spaces Bses for Vector Spces 2-26-25 A set is independent if, roughly speking, there is no redundncy in the set: You cn t uild ny vector in the set s liner comintion of the others A set spns if you cn uild everything

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

SUPPLEMENTARY INFORMATION

SUPPLEMENTARY INFORMATION doi:1.138/nture11813 NK cells NKp46 + RORγt - 5.4 RORγt + ILCs SSC-A FSC-H Linege 22.4 98.2 28.8 NKp46 1.2 15.4 NKp46 NKp46 + RORγt + ILCs NKp46 - RORγt + ILCs FSC-A FSC-A CD45 RORγt RORγt CCR6 + T-et

More information

CS 310 (sec 20) - Winter Final Exam (solutions) SOLUTIONS

CS 310 (sec 20) - Winter Final Exam (solutions) SOLUTIONS CS 310 (sec 20) - Winter 2003 - Finl Exm (solutions) SOLUTIONS 1. (Logic) Use truth tles to prove the following logicl equivlences: () p q (p p) (q q) () p q (p q) (p q) () p q p q p p q q (q q) (p p)

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

DOI:.8/nc5 Cpilities of MCAK Sidesliding, endctching on microtuules MCAKdecorted ed Functions in mitotic spindle Prometphse Slides on the microtuule surfce + Redily slides long the microtuule surfce Strongly

More information

Network Analysis and Synthesis. Chapter 5 Two port networks

Network Analysis and Synthesis. Chapter 5 Two port networks Network Anlsis nd Snthesis hpter 5 Two port networks . ntroduction A one port network is completel specified when the voltge current reltionship t the terminls of the port is given. A generl two port on

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

SUPPLEMENTARY INFORMATION

SUPPLEMENTARY INFORMATION doi:10.1038/nture10735 KCNH ERG herg3 merg2 herg1 SpIH rhcn3 hhcn1 mhcn2 rhcn4 HCN zelk ELK helk1 helk2 melk3 hcngb3 CNGB1 meag1 meag2 EAG CNGA1 CNGA3 CNGA2 hcnga4 CNG Reltive Conductnce (G/Gmx) 1.0 0.8

More information

Resources. Introduction: Binding. Resource Types. Resource Sharing. The type of a resource denotes its ability to perform different operations

Resources. Introduction: Binding. Resource Types. Resource Sharing. The type of a resource denotes its ability to perform different operations Introduction: Binding Prt of 4-lecture introduction Scheduling Resource inding Are nd performnce estimtion Control unit synthesis This lecture covers Resources nd resource types Resource shring nd inding

More information

Physics 1402: Lecture 7 Today s Agenda

Physics 1402: Lecture 7 Today s Agenda 1 Physics 1402: Lecture 7 Tody s gend nnouncements: Lectures posted on: www.phys.uconn.edu/~rcote/ HW ssignments, solutions etc. Homework #2: On Msterphysics tody: due Fridy Go to msteringphysics.com Ls:

More information

1B40 Practical Skills

1B40 Practical Skills B40 Prcticl Skills Comining uncertinties from severl quntities error propgtion We usully encounter situtions where the result of n experiment is given in terms of two (or more) quntities. We then need

More information

List all of the possible rational roots of each equation. Then find all solutions (both real and imaginary) of the equation. 1.

List all of the possible rational roots of each equation. Then find all solutions (both real and imaginary) of the equation. 1. Mth Anlysis CP WS 4.X- Section 4.-4.4 Review Complete ech question without the use of grphing clcultor.. Compre the mening of the words: roots, zeros nd fctors.. Determine whether - is root of 0. Show

More information

TNFα 18hr. Control. CHX 18hr. TNFα+ CHX 18hr. TNFα: 18 18hr (KDa) PARP. Cleaved. Cleaved. Cleaved. Caspase3. Pellino3 shrna. Control shrna.

TNFα 18hr. Control. CHX 18hr. TNFα+ CHX 18hr. TNFα: 18 18hr (KDa) PARP. Cleaved. Cleaved. Cleaved. Caspase3. Pellino3 shrna. Control shrna. Survival ( %) a. TNFα 18hr b. Control sirna Pellino3 sirna TNFα: 18 18hr c. Control shrna Pellino3 shrna Caspase3 Actin Control d. Control shrna Pellino3 shrna *** 100 80 60 CHX 18hr 40 TNFα+ CHX 18hr

More information

CS 373, Spring Solutions to Mock midterm 1 (Based on first midterm in CS 273, Fall 2008.)

CS 373, Spring Solutions to Mock midterm 1 (Based on first midterm in CS 273, Fall 2008.) CS 373, Spring 29. Solutions to Mock midterm (sed on first midterm in CS 273, Fll 28.) Prolem : Short nswer (8 points) The nswers to these prolems should e short nd not complicted. () If n NF M ccepts

More information

Lecture 08: Feb. 08, 2019

Lecture 08: Feb. 08, 2019 4CS4-6:Theory of Computtion(Closure on Reg. Lngs., regex to NDFA, DFA to regex) Prof. K.R. Chowdhry Lecture 08: Fe. 08, 2019 : Professor of CS Disclimer: These notes hve not een sujected to the usul scrutiny

More information

Assignment 1 Automata, Languages, and Computability. 1 Finite State Automata and Regular Languages

Assignment 1 Automata, Languages, and Computability. 1 Finite State Automata and Regular Languages Deprtment of Computer Science, Austrlin Ntionl University COMP2600 Forml Methods for Softwre Engineering Semester 2, 206 Assignment Automt, Lnguges, nd Computility Smple Solutions Finite Stte Automt nd

More information

Name Solutions to Test 3 November 8, 2017

Name Solutions to Test 3 November 8, 2017 Nme Solutions to Test 3 November 8, 07 This test consists of three prts. Plese note tht in prts II nd III, you cn skip one question of those offered. Some possibly useful formuls cn be found below. Brrier

More information

Supplementary Information

Supplementary Information Supplementry Informtion Coopertion of locl motions in the Hsp90 moleculr chperone ATPse mechnism Andre Schulze 1, Gerti Beliu 1, Dominic A. Helmerich 1, Jonthn Schubert 1, Lurence H. Perl 2, Chrisostomos

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

Things to Memorize: A Partial List. January 27, 2017

Things to Memorize: A Partial List. January 27, 2017 Things to Memorize: A Prtil List Jnury 27, 2017 Chpter 2 Vectors - Bsic Fcts A vector hs mgnitude (lso clled size/length/norm) nd direction. It does not hve fixed position, so the sme vector cn e moved

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

10. AREAS BETWEEN CURVES

10. AREAS BETWEEN CURVES . AREAS BETWEEN CURVES.. Ares etween curves So res ove the x-xis re positive nd res elow re negtive, right? Wrong! We lied! Well, when you first lern out integrtion it s convenient fiction tht s true in

More information

SUPPLEMENTARY INFORMATION

SUPPLEMENTARY INFORMATION DOI: 1.138/nc2975 GM13 / DNA F-ctin α shrna CLASP1 shrna shrna shrna CLASP1 shrna shrna e Tuulin CLASP1 CLASP1 shrna #32 shrna #33 #55 #58 Tuulin c Tuulin ppmlc E-Cdherin shrna CLASP1 shrna shrna f Golgi

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

Fault Modeling. EE5375 ADD II Prof. MacDonald

Fault Modeling. EE5375 ADD II Prof. MacDonald Fult Modeling EE5375 ADD II Prof. McDonld Stuck At Fult Models l Modeling of physicl defects (fults) simplify to logicl fult l stuck high or low represents mny physicl defects esy to simulte technology

More information

ECE223. R eouven Elbaz Office room: DC3576

ECE223. R eouven Elbaz Office room: DC3576 ECE223 R eouven Elz reouven@uwterloo.c Office room: DC3576 Outline Decoders Decoders with Enle VHDL Exmple Multiplexers Multiplexers with Enle VHDL Exmple From Decoder to Multiplexer 3-stte Gtes Multiplexers

More information

2 b. , a. area is S= 2π xds. Again, understand where these formulas came from (pages ).

2 b. , a. area is S= 2π xds. Again, understand where these formulas came from (pages ). AP Clculus BC Review Chpter 8 Prt nd Chpter 9 Things to Know nd Be Ale to Do Know everything from the first prt of Chpter 8 Given n integrnd figure out how to ntidifferentite it using ny of the following

More information

Do the one-dimensional kinetic energy and momentum operators commute? If not, what operator does their commutator represent?

Do the one-dimensional kinetic energy and momentum operators commute? If not, what operator does their commutator represent? 1 Problem 1 Do the one-dimensionl kinetic energy nd momentum opertors commute? If not, wht opertor does their commuttor represent? KE ˆ h m d ˆP i h d 1.1 Solution This question requires clculting the

More information

Minimal DFA. minimal DFA for L starting from any other

Minimal DFA. minimal DFA for L starting from any other Miniml DFA Among the mny DFAs ccepting the sme regulr lnguge L, there is exctly one (up to renming of sttes) which hs the smllest possile numer of sttes. Moreover, it is possile to otin tht miniml DFA

More information

Section 4: Integration ECO4112F 2011

Section 4: Integration ECO4112F 2011 Reding: Ching Chpter Section : Integrtion ECOF Note: These notes do not fully cover the mteril in Ching, ut re ment to supplement your reding in Ching. Thus fr the optimistion you hve covered hs een sttic

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

Pressure Wave Analysis of a Cylindrical Drum

Pressure Wave Analysis of a Cylindrical Drum Pressure Wve Anlysis of Cylindricl Drum Chris Clrk, Brin Anderson, Brin Thoms, nd Josh Symonds Deprtment of Mthemtics The University of Rochester, Rochester, NY 4627 (Dted: December, 24 In this pper, hypotheticl

More information

The Fundamental Theorem of Calculus. The Total Change Theorem and the Area Under a Curve.

The Fundamental Theorem of Calculus. The Total Change Theorem and the Area Under a Curve. Clculus Li Vs The Fundmentl Theorem of Clculus. The Totl Chnge Theorem nd the Are Under Curve. Recll the following fct from Clculus course. If continuous function f(x) represents the rte of chnge of F

More information

1 ELEMENTARY ALGEBRA and GEOMETRY READINESS DIAGNOSTIC TEST PRACTICE

1 ELEMENTARY ALGEBRA and GEOMETRY READINESS DIAGNOSTIC TEST PRACTICE ELEMENTARY ALGEBRA nd GEOMETRY READINESS DIAGNOSTIC TEST PRACTICE Directions: Study the exmples, work the prolems, then check your nswers t the end of ech topic. If you don t get the nswer given, check

More information

Quadratic Forms. Quadratic Forms

Quadratic Forms. Quadratic Forms Qudrtic Forms Recll the Simon & Blume excerpt from n erlier lecture which sid tht the min tsk of clculus is to pproximte nonliner functions with liner functions. It s ctully more ccurte to sy tht we pproximte

More information

Answers for Lesson 3-1, pp Exercises

Answers for Lesson 3-1, pp Exercises Answers for Lesson -, pp. Eercises * ) PQ * ) PS * ) PS * ) PS * ) SR * ) QR * ) QR * ) QR. nd with trnsversl ; lt. int. '. nd with trnsversl ; lt. int. '. nd with trnsversl ; sme-side int. '. nd with

More information

Exercises with (Some) Solutions

Exercises with (Some) Solutions Exercises with (Some) Solutions Techer: Luc Tesei Mster of Science in Computer Science - University of Cmerino Contents 1 Strong Bisimultion nd HML 2 2 Wek Bisimultion 31 3 Complete Lttices nd Fix Points

More information

u( t) + K 2 ( ) = 1 t > 0 Analyzing Damped Oscillations Problem (Meador, example 2-18, pp 44-48): Determine the equation of the following graph.

u( t) + K 2 ( ) = 1 t > 0 Analyzing Damped Oscillations Problem (Meador, example 2-18, pp 44-48): Determine the equation of the following graph. nlyzing Dmped Oscilltions Prolem (Medor, exmple 2-18, pp 44-48): Determine the eqution of the following grph. The eqution is ssumed to e of the following form f ( t) = K 1 u( t) + K 2 e!"t sin (#t + $

More information

Gold s algorithm. Acknowledgements. Why would this be true? Gold's Algorithm. 1 Key ideas. Strings as states

Gold s algorithm. Acknowledgements. Why would this be true? Gold's Algorithm. 1 Key ideas. Strings as states Acknowledgements Gold s lgorithm Lurent Miclet, Jose Oncin nd Tim Otes for previous versions of these slides. Rfel Crrsco, Pco Cscuert, Rémi Eyrud, Philippe Ezequel, Henning Fernu, Thierry Murgue, Frnck

More information

Always end in a group Forms branches, not crosslinks

Always end in a group Forms branches, not crosslinks 10.569 Synthesis of Polymers Prof. Pul Hmmond Lecture 8: Network Formtion, Sttisticl Approch, Pw Bsed, A Word on MWD for Nonliner Polymeriztion Network formtion Consider first cse: + [ 3 ] monomers so

More information

CHAPTER 20: Second Law of Thermodynamics

CHAPTER 20: Second Law of Thermodynamics CHAER 0: Second Lw of hermodynmics Responses to Questions 3. kg of liquid iron will hve greter entropy, since it is less ordered thn solid iron nd its molecules hve more therml motion. In ddition, het

More information

Parse trees, ambiguity, and Chomsky normal form

Parse trees, ambiguity, and Chomsky normal form Prse trees, miguity, nd Chomsky norml form In this lecture we will discuss few importnt notions connected with contextfree grmmrs, including prse trees, miguity, nd specil form for context-free grmmrs

More information

Name Ima Sample ASU ID

Name Ima Sample ASU ID Nme Im Smple ASU ID 2468024680 CSE 355 Test 1, Fll 2016 30 Septemer 2016, 8:35-9:25.m., LSA 191 Regrding of Midterms If you elieve tht your grde hs not een dded up correctly, return the entire pper to

More information

Worksheet A EXPONENTIALS AND LOGARITHMS PMT. 1 Express each of the following in the form log a b = c. a 10 3 = 1000 b 3 4 = 81 c 256 = 2 8 d 7 0 = 1

Worksheet A EXPONENTIALS AND LOGARITHMS PMT. 1 Express each of the following in the form log a b = c. a 10 3 = 1000 b 3 4 = 81 c 256 = 2 8 d 7 0 = 1 C Worksheet A Epress ech of the following in the form log = c. 0 = 000 4 = 8 c 56 = 8 d 7 0 = e = f 5 = g 7 9 = 9 h 6 = 6 Epress ech of the following using inde nottion. log 5 5 = log 6 = 4 c 5 = log 0

More information

MA123, Chapter 10: Formulas for integrals: integrals, antiderivatives, and the Fundamental Theorem of Calculus (pp.

MA123, Chapter 10: Formulas for integrals: integrals, antiderivatives, and the Fundamental Theorem of Calculus (pp. MA123, Chpter 1: Formuls for integrls: integrls, ntiderivtives, nd the Fundmentl Theorem of Clculus (pp. 27-233, Gootmn) Chpter Gols: Assignments: Understnd the sttement of the Fundmentl Theorem of Clculus.

More information

1 From NFA to regular expression

1 From NFA to regular expression Note 1: How to convert DFA/NFA to regulr expression Version: 1.0 S/EE 374, Fll 2017 Septemer 11, 2017 In this note, we show tht ny DFA cn e converted into regulr expression. Our construction would work

More information

The transcription factor MAFB antagonizes anti-viral responses by

The transcription factor MAFB antagonizes anti-viral responses by Supplementry normtion The trnscription ctor AFB ntgonizes nti-virl responses by blockde o coctivtor recruitment to RF3 wijin Kim & Brin Seed * Center or Computtionl nd ntegrtive Biology, sschusetts Generl

More information

Chapter 4: Techniques of Circuit Analysis. Chapter 4: Techniques of Circuit Analysis

Chapter 4: Techniques of Circuit Analysis. Chapter 4: Techniques of Circuit Analysis Chpter 4: Techniques of Circuit Anlysis Terminology Node-Voltge Method Introduction Dependent Sources Specil Cses Mesh-Current Method Introduction Dependent Sources Specil Cses Comprison of Methods Source

More information

Consequently, the temperature must be the same at each point in the cross section at x. Let:

Consequently, the temperature must be the same at each point in the cross section at x. Let: HW 2 Comments: L1-3. Derive the het eqution for n inhomogeneous rod where the therml coefficients used in the derivtion of the het eqution for homogeneous rod now become functions of position x in the

More information

Harvard University Computer Science 121 Midterm October 23, 2012

Harvard University Computer Science 121 Midterm October 23, 2012 Hrvrd University Computer Science 121 Midterm Octoer 23, 2012 This is closed-ook exmintion. You my use ny result from lecture, Sipser, prolem sets, or section, s long s you quote it clerly. The lphet is

More information

Math 4310 Solutions to homework 1 Due 9/1/16

Math 4310 Solutions to homework 1 Due 9/1/16 Mth 4310 Solutions to homework 1 Due 9/1/16 1. Use the Eucliden lgorithm to find the following gretest common divisors. () gcd(252, 180) = 36 (b) gcd(513, 187) = 1 (c) gcd(7684, 4148) = 68 252 = 180 1

More information

The University of Nottingham SCHOOL OF COMPUTER SCIENCE A LEVEL 2 MODULE, SPRING SEMESTER LANGUAGES AND COMPUTATION ANSWERS

The University of Nottingham SCHOOL OF COMPUTER SCIENCE A LEVEL 2 MODULE, SPRING SEMESTER LANGUAGES AND COMPUTATION ANSWERS The University of Nottinghm SCHOOL OF COMPUTER SCIENCE LEVEL 2 MODULE, SPRING SEMESTER 2016 2017 LNGUGES ND COMPUTTION NSWERS Time llowed TWO hours Cndidtes my complete the front cover of their nswer ook

More information

4 7x =250; 5 3x =500; Read section 3.3, 3.4 Announcements: Bell Ringer: Use your calculator to solve

4 7x =250; 5 3x =500; Read section 3.3, 3.4 Announcements: Bell Ringer: Use your calculator to solve Dte: 3/14/13 Objective: SWBAT pply properties of exponentil functions nd will pply properties of rithms. Bell Ringer: Use your clcultor to solve 4 7x =250; 5 3x =500; HW Requests: Properties of Log Equtions

More information

Matrix Algebra. Matrix Addition, Scalar Multiplication and Transposition. Linear Algebra I 24

Matrix Algebra. Matrix Addition, Scalar Multiplication and Transposition. Linear Algebra I 24 Mtrix lger Mtrix ddition, Sclr Multipliction nd rnsposition Mtrix lger Section.. Mtrix ddition, Sclr Multipliction nd rnsposition rectngulr rry of numers is clled mtrix ( the plurl is mtrices ) nd the

More information

Genetic Programming. Outline. Evolutionary Strategies. Evolutionary strategies Genetic programming Summary

Genetic Programming. Outline. Evolutionary Strategies. Evolutionary strategies Genetic programming Summary Outline Genetic Progrmming Evolutionry strtegies Genetic progrmming Summry Bsed on the mteril provided y Professor Michel Negnevitsky Evolutionry Strtegies An pproch simulting nturl evolution ws proposed

More information

Introduction to Electronic Circuits. DC Circuit Analysis: Transient Response of RC Circuits

Introduction to Electronic Circuits. DC Circuit Analysis: Transient Response of RC Circuits Introduction to Electronic ircuits D ircuit Anlysis: Trnsient esponse of ircuits Up until this point, we hve een looking t the Stedy Stte response of D circuits. StedyStte implies tht nothing hs chnged

More information

Supplementary Material (ESI) for Soft Matter This journal is The Royal Society of Chemistry Supplementary data

Supplementary Material (ESI) for Soft Matter This journal is The Royal Society of Chemistry Supplementary data Supplementry Mteril (ESI) for Soft Mtter This journl is The Royl Society of hemistry 009 Supplementry dt Quntifying Hydrogel Response using Lser Light Scttering. Joshu M. G. Swnn, Wim Brs b, Jonthn R.

More information

Worked out examples Finite Automata

Worked out examples Finite Automata Worked out exmples Finite Automt Exmple Design Finite Stte Automton which reds inry string nd ccepts only those tht end with. Since we re in the topic of Non Deterministic Finite Automt (NFA), we will

More information

a cacnb1 ts25/ts25 Supplemental Figure 1

a cacnb1 ts25/ts25 Supplemental Figure 1 ccn1 ts/ts α -ungrotoxin prlyzed 0.6 ΔF/F 0.0 2 ΔF/F 2 s stimulus α -ungrotoxin ccn1 ts/ts Supplementl Figure 1 CSF-cNs recorded from lrv prlyzed with α-ungrotoxin nd ccn1 mutnt lrv show no difference

More information

Evaluating Definite Integrals. There are a few properties that you should remember in order to assist you in evaluating definite integrals.

Evaluating Definite Integrals. There are a few properties that you should remember in order to assist you in evaluating definite integrals. Evluting Definite Integrls There re few properties tht you should rememer in order to ssist you in evluting definite integrls. f x dx= ; where k is ny rel constnt k f x dx= k f x dx ± = ± f x g x dx f

More information

The Trapezoidal Rule

The Trapezoidal Rule _.qd // : PM Pge 9 SECTION. Numericl Integrtion 9 f Section. The re of the region cn e pproimted using four trpezoids. Figure. = f( ) f( ) n The re of the first trpezoid is f f n. Figure. = Numericl Integrtion

More information

4.1. Probability Density Functions

4.1. Probability Density Functions STT 1 4.1-4. 4.1. Proility Density Functions Ojectives. Continuous rndom vrile - vers - discrete rndom vrile. Proility density function. Uniform distriution nd its properties. Expected vlue nd vrince of

More information

Designing finite automata II

Designing finite automata II Designing finite utomt II Prolem: Design DFA A such tht L(A) consists of ll strings of nd which re of length 3n, for n = 0, 1, 2, (1) Determine wht to rememer out the input string Assign stte to ech of

More information

Rugby High School Physical Science I Can & Evidence Statements

Rugby High School Physical Science I Can & Evidence Statements Rugy High School Physicl Science I Cn & Evidence Sttements RHS-PS1-1 Students who demonstrte understnding cn: RHS-PS1-1. Use the periodic tle s model to predict the reltive properties of elements sed on

More information

Ph2b Quiz - 1. Instructions

Ph2b Quiz - 1. Instructions Ph2b Winter 217-18 Quiz - 1 Due Dte: Mondy, Jn 29, 218 t 4pm Ph2b Quiz - 1 Instructions 1. Your solutions re due by Mondy, Jnury 29th, 218 t 4pm in the quiz box outside 21 E. Bridge. 2. Lte quizzes will

More information

CMPSCI 250: Introduction to Computation. Lecture #31: What DFA s Can and Can t Do David Mix Barrington 9 April 2014

CMPSCI 250: Introduction to Computation. Lecture #31: What DFA s Can and Can t Do David Mix Barrington 9 April 2014 CMPSCI 250: Introduction to Computtion Lecture #31: Wht DFA s Cn nd Cn t Do Dvid Mix Brrington 9 April 2014 Wht DFA s Cn nd Cn t Do Deterministic Finite Automt Forml Definition of DFA s Exmples of DFA

More information

First Midterm Examination

First Midterm Examination Çnky University Deprtment of Computer Engineering 203-204 Fll Semester First Midterm Exmintion ) Design DFA for ll strings over the lphet Σ = {,, c} in which there is no, no nd no cc. 2) Wht lnguge does

More information

SUPPLEMENTARY INFORMATION

SUPPLEMENTARY INFORMATION doi:10.1038/nature11419 Supplementary Figure 1 Schematic representation of innate immune signaling pathways induced by intracellular Salmonella in cultured macrophages. a, During the infection Salmonella

More information

CS 275 Automata and Formal Language Theory

CS 275 Automata and Formal Language Theory CS 275 utomt nd Forml Lnguge Theory Course Notes Prt II: The Recognition Prolem (II) Chpter II.5.: Properties of Context Free Grmmrs (14) nton Setzer (Bsed on ook drft y J. V. Tucker nd K. Stephenson)

More information

Transient Stimulation of Distinct Subpopulations of Striatal Neurons Mimics Changes in the Value of Competing Actions

Transient Stimulation of Distinct Subpopulations of Striatal Neurons Mimics Changes in the Value of Competing Actions Supplementl mterils for: Trnsient Stimultion of Distinct Supopultions of Stritl Neurons Mimics Chnges in the Vlue of Competing Actions Lung-Ho Ti, A. Moses Lee,2, Nor Benvidez 3, Antonello Bonci 4,,6,

More information

Supplementary Figure 1 Supplementary Figure 2

Supplementary Figure 1 Supplementary Figure 2 Supplementry Figure 1 Comprtive illustrtion of the steps required to decorte n oxide support AO with ctlyst prticles M through chemicl infiltrtion or in situ redox exsolution. () chemicl infiltrtion usully

More information

First Midterm Examination

First Midterm Examination 24-25 Fll Semester First Midterm Exmintion ) Give the stte digrm of DFA tht recognizes the lnguge A over lphet Σ = {, } where A = {w w contins or } 2) The following DFA recognizes the lnguge B over lphet

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

Reinforcement learning II

Reinforcement learning II CS 1675 Introduction to Mchine Lerning Lecture 26 Reinforcement lerning II Milos Huskrecht milos@cs.pitt.edu 5329 Sennott Squre Reinforcement lerning Bsics: Input x Lerner Output Reinforcement r Critic

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

Commensal anaerobic gut bacteria attenuate inflammation by regulating nuclear-cytoplasmic shuttling of PPAR-γ and RelA

Commensal anaerobic gut bacteria attenuate inflammation by regulating nuclear-cytoplasmic shuttling of PPAR-γ and RelA Commensl neroic gut cteri ttenute inflmmtion y regulting nucler-cytoplsmic shuttling of PPAR-γ nd RelA Denise Kelly 1, Jmie I Cmpell 1, Timothy P King 1, George Grnt 1, Emmelie A Jnsson 2, Alistir G P

More information

Boolean Algebra. Boolean Algebra

Boolean Algebra. Boolean Algebra Boolen Alger Boolen Alger A Boolen lger is set B of vlues together with: - two inry opertions, commonly denoted y + nd, - unry opertion, usully denoted y ˉ or ~ or, - two elements usully clled zero nd

More information

1.2. Linear Variable Coefficient Equations. y + b "! = a y + b " Remark: The case b = 0 and a non-constant can be solved with the same idea as above.

1.2. Linear Variable Coefficient Equations. y + b ! = a y + b  Remark: The case b = 0 and a non-constant can be solved with the same idea as above. 1 12 Liner Vrible Coefficient Equtions Section Objective(s): Review: Constnt Coefficient Equtions Solving Vrible Coefficient Equtions The Integrting Fctor Method The Bernoulli Eqution 121 Review: Constnt

More information

The area under the graph of f and above the x-axis between a and b is denoted by. f(x) dx. π O

The area under the graph of f and above the x-axis between a and b is denoted by. f(x) dx. π O 1 Section 5. The Definite Integrl Suppose tht function f is continuous nd positive over n intervl [, ]. y = f(x) x The re under the grph of f nd ove the x-xis etween nd is denoted y f(x) dx nd clled the

More information

Supplementary material

Supplementary material 10.1071/FP11237_AC CSIRO 2012 Accessory Puliction: Functionl Plnt Biology 2012, 39(5), 379 393. Supplementry mteril Tle S1. Effect of wter regime nd genotype on different growth prmeters: spike dry mtter

More information

Applied Statistics Qualifier Examination

Applied Statistics Qualifier Examination Appled Sttstcs Qulfer Exmnton Qul_june_8 Fll 8 Instructons: () The exmnton contns 4 Questons. You re to nswer 3 out of 4 of them. () You my use ny books nd clss notes tht you mght fnd helpful n solvng

More information

UNIT 5 QUADRATIC FUNCTIONS Lesson 3: Creating Quadratic Equations in Two or More Variables Instruction

UNIT 5 QUADRATIC FUNCTIONS Lesson 3: Creating Quadratic Equations in Two or More Variables Instruction Lesson 3: Creting Qudrtic Equtions in Two or More Vriles Prerequisite Skills This lesson requires the use of the following skill: solving equtions with degree of Introduction 1 The formul for finding the

More information

Topics Covered AP Calculus AB

Topics Covered AP Calculus AB Topics Covered AP Clculus AB ) Elementry Functions ) Properties of Functions i) A function f is defined s set of ll ordered pirs (, y), such tht for ech element, there corresponds ectly one element y.

More information

Homework Assignment 3 Solution Set

Homework Assignment 3 Solution Set Homework Assignment 3 Solution Set PHYCS 44 6 Ferury, 4 Prolem 1 (Griffiths.5(c The potentil due to ny continuous chrge distriution is the sum of the contriutions from ech infinitesiml chrge in the distriution.

More information

Physics 24 Exam 1 February 18, 2014

Physics 24 Exam 1 February 18, 2014 Exm Totl / 200 Physics 24 Exm 1 Februry 18, 2014 Printed Nme: Rec. Sec. Letter: Five multiple choice questions, 8 points ech. Choose the best or most nerly correct nswer. 1. The totl electric flux pssing

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

Chapter 9 Definite Integrals

Chapter 9 Definite Integrals Chpter 9 Definite Integrls In the previous chpter we found how to tke n ntiderivtive nd investigted the indefinite integrl. In this chpter the connection etween ntiderivtives nd definite integrls is estlished

More information

Chapter 5 Plan-Space Planning

Chapter 5 Plan-Space Planning Lecture slides for Automted Plnning: Theory nd Prctice Chpter 5 Pln-Spce Plnning Dn S. Nu CMSC 722, AI Plnning University of Mrylnd, Spring 2008 1 Stte-Spce Plnning Motivtion g 1 1 g 4 4 s 0 g 5 5 g 2

More information

ECE 327 Solution to Midterm 2016t1 (Winter)

ECE 327 Solution to Midterm 2016t1 (Winter) ECE 7 Solution to Midterm 6t (Winter) All requests for re-mrks must be submitted in writing to Mrk Agrd before 8:m on ridy Mrch. A rndom collection of midterms were scnned. Exms tht re submitted for re-mrking

More information

Introduction To Matrices MCV 4UI Assignment #1

Introduction To Matrices MCV 4UI Assignment #1 Introduction To Mtrices MCV UI Assignment # INTRODUCTION: A mtrix plurl: mtrices) is rectngulr rry of numbers rrnged in rows nd columns Exmples: ) b) c) [ ] d) Ech number ppering in the rry is sid to be

More information

Joule-Thomson effect TEP

Joule-Thomson effect TEP Joule-homson effect EP elted oics el gs; intrinsic energy; Gy-Lussc theory; throttling; n der Wls eqution; n der Wls force; inverse Joule- homson effect; inversion temerture. Princile A strem of gs is

More information

Some Theory of Computation Exercises Week 1

Some Theory of Computation Exercises Week 1 Some Theory of Computtion Exercises Week 1 Section 1 Deterministic Finite Automt Question 1.3 d d d d u q 1 q 2 q 3 q 4 q 5 d u u u u Question 1.4 Prt c - {w w hs even s nd one or two s} First we sk whether

More information

Sufficient condition on noise correlations for scalable quantum computing

Sufficient condition on noise correlations for scalable quantum computing Sufficient condition on noise correltions for sclble quntum computing John Presill, 2 Februry 202 Is quntum computing sclble? The ccurcy threshold theorem for quntum computtion estblishes tht sclbility

More information

Hybrid Control and Switched Systems. Lecture #2 How to describe a hybrid system? Formal models for hybrid system

Hybrid Control and Switched Systems. Lecture #2 How to describe a hybrid system? Formal models for hybrid system Hyrid Control nd Switched Systems Lecture #2 How to descrie hyrid system? Forml models for hyrid system João P. Hespnh University of Cliforni t Snt Brr Summry. Forml models for hyrid systems: Finite utomt

More information

Improper Integrals, and Differential Equations

Improper Integrals, and Differential Equations Improper Integrls, nd Differentil Equtions October 22, 204 5.3 Improper Integrls Previously, we discussed how integrls correspond to res. More specificlly, we sid tht for function f(x), the region creted

More information