6
1 Name: ___________________________ CHEMISTRY 333 HOMEWORK # 2 DUE FRIDAY OCTOBER 23, 2009 (NO LATER THAN 5 PM!) SHOW ALL OF YOUR WORK AND HAND IN ALL GRAPHS (35 points) 1. (20 points) The kinetics of an enzyme were analyzed in both the absence and presence of Inhibitor A and Inhibitor B. Given the following data, calculate or construct the following for A and B on separate graphs. a) Plot the data as a Michaelis-Menten saturation curve. b) Estimate the K m and V max from these curves both in the presence and absence of inhibitors. c) Plot the data in the Lineweaver-Burk format *Make sure to label the both the inhibitor line and the no inhibitor line d) Mathematically determine the K m and V max . e) What types of inhibitors are A and B? How can you tell? f) On each graph draw a line that would indicate an increase in the concentration of inhibitor. *Make sure to turn in all your plots, corresponding equations and calculations. V (mmol/min) [S] (mM) No Inhibitor B (0.1mM) .2 5.0 2.0 .4 7.5 3.0 .8 10.0 4.0 1.0 10.7 4.3 2.0 12.5 5.0 4.0 13.6 5.5 2. (15 points) Draw the following disaccharides in Haworth projections. Label the anomeric carbon with a * and circle any reducing ends. a) galactose β(1,4) mannose b) glucose β,α(1,1) galactose c) fructose α(2,5) ribose V (mmol/min) [S] (mM) No Inhibitor A (5mM) .2 5.0 3.0 .4 7.5 5.0 .8 10.0 7.5 1.0 10.7 8.3 2.0 12.5 10.7 4.0 13.6 12.5

Problem Set 2 F09 - Purdue University...V (mmoUmin) lSl (mM) No Inhibitor B (0.1mM) 0 0 0 0.2 5 2 0.4 7.5 J 0.8 l0 4 I r0.7 4.3 2 12.5 5 4 13.6 5.5 M \ kt**'QL -N'-l--*I^ 1_.522.s33.544.5

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Page 1: Problem Set 2 F09 - Purdue University...V (mmoUmin) lSl (mM) No Inhibitor B (0.1mM) 0 0 0 0.2 5 2 0.4 7.5 J 0.8 l0 4 I r0.7 4.3 2 12.5 5 4 13.6 5.5 M \ kt**'QL -N'-l--*I^ 1_.522.s33.544.5

1

Name: ___________________________

CHEMISTRY 333 HOMEWORK # 2

DUE FRIDAY OCTOBER 23, 2009 (NO LATER THAN 5 PM!) SHOW ALL OF YOUR WORK AND HAND IN ALL GRAPHS

(35 points) 1. (20 points) The kinetics of an enzyme were analyzed in both the absence and presence of Inhibitor A and Inhibitor B. Given the following data, calculate or construct the following for A and B on separate graphs.

a) Plot the data as a Michaelis-Menten saturation curve. b) Estimate the Km and Vmax from these curves both in the presence and

absence of inhibitors. c) Plot the data in the Lineweaver-Burk format

*Make sure to label the both the inhibitor line and the no inhibitor line d) Mathematically determine the Km and Vmax. e) What types of inhibitors are A and B? How can you tell? f) On each graph draw a line that would indicate an increase in the

concentration of inhibitor. *Make sure to turn in all your plots, corresponding equations and calculations.

V (mmol/min) [S] (mM) No Inhibitor B (0.1mM)

.2 5.0 2.0

.4 7.5 3.0

.8 10.0 4.0 1.0 10.7 4.3 2.0 12.5 5.0 4.0 13.6 5.5

2. (15 points) Draw the following disaccharides in Haworth projections. Label the anomeric carbon with a * and circle any reducing ends.

a) galactose β(1,4) mannose b) glucose β,α(1,1) galactose

c) fructose α(2,5) ribose

V (mmol/min) [S] (mM) No Inhibitor A (5mM)

.2 5.0 3.0

.4 7.5 5.0

.8 10.0 7.5 1.0 10.7 8.3 2.0 12.5 10.7 4.0 13.6 12.5

Page 2: Problem Set 2 F09 - Purdue University...V (mmoUmin) lSl (mM) No Inhibitor B (0.1mM) 0 0 0 0.2 5 2 0.4 7.5 J 0.8 l0 4 I r0.7 4.3 2 12.5 5 4 13.6 5.5 M \ kt**'QL -N'-l--*I^ 1_.522.s33.544.5

V (mmoVmin

t ' ,

Vii

r t l

^ t t I.^rg\ t , 1

/rnQ

,1+

}'

16

t4

t2

10

r, l,A

4

2

0

/s\^*^^-fo-J f ,^^-piJ^',^{ T

I''(\' D. + ,*f4I

No in-,-{-+

+ i ! \

urift,.^. T-

,t;l"r ACs^F^)

^-o,f,ry^A

'^' l1-JL^V*.*y.l- rA

Page 3: Problem Set 2 F09 - Purdue University...V (mmoUmin) lSl (mM) No Inhibitor B (0.1mM) 0 0 0 0.2 5 2 0.4 7.5 J 0.8 l0 4 I r0.7 4.3 2 12.5 5 4 13.6 5.5 M \ kt**'QL -N'-l--*I^ 1_.522.s33.544.5

V (mmoUmin)

lsl (mM) No Inhibitor A (5mM) 1/ ts l LIV (no I) Llv (+A)0.2 5 a

J 5 o.2 0.3333333330.4 7.5 5 2.5 0.133333333 0.20.8 l0 7.5 L.25 0.1 0.1333333331 t0.7 8.3 1 0.0934579440. 12048 L9282 12.5 10.7 0.5 0.08 0.0934579444 13.6 12.s 0.25 o.o735294L2 0.08

I

Lr'*,- r^il,t^t}..-..lt' q\n-,b,fn A

i

o.lr. i "\ i

I, i

*-**1/v (no r) (So i v't',; t,+()!

*ffi*1/v (*nlf .tFu\^..U \sl-

( - o, o'Zbb = ry + 0,4rnJv\= (g=,=*L _l-- vrnr f lS - , . . : r . - " ' - - -"-- 'V{*f ^: l^ t i

' -hj -- o, o 533 tr o.cb;z ,J^n* = {OUb6

=,t&\J! -<

'/ k ir^-irrr 'r). c533 = . t* , o,os33 'Kr= O.B^Mt-'-yr11 (t.Gr-- u

r t rJ '

S i

r \M' \ - / ' "

OV tuq/

hio f^hibrb'r '

+'t r t f t ;b; hr

Page 4: Problem Set 2 F09 - Purdue University...V (mmoUmin) lSl (mM) No Inhibitor B (0.1mM) 0 0 0 0.2 5 2 0.4 7.5 J 0.8 l0 4 I r0.7 4.3 2 12.5 5 4 13.6 5.5 M \ kt**'QL -N'-l--*I^ 1_.522.s33.544.5

V (mmoUmin)

lSl (mM) No Inhibitor B (0.1mM)

0 0 00.2 5 20.4 7.5 J

0.8 l0 4I r0.7 4.32 12.5 54 13.6 5.5

M \ kt**'QL -N'-l--*I^

1_.522.s33.544.5

ul . - l r I\o l*l,nu.\ar*,n-

. -** .# l

-{-*H=r i* 0.1 M{4lrr3]+.^L-,U\r.. I

. ̂ +^0,3- o,t{^^AAEtg 2,,^

iL + ru,ka

n- p , 7- D'.-{ ,^^}4.

\)""r^ -1-l4^$u < (a ^-^-(

Page 5: Problem Set 2 F09 - Purdue University...V (mmoUmin) lSl (mM) No Inhibitor B (0.1mM) 0 0 0 0.2 5 2 0.4 7.5 J 0.8 l0 4 I r0.7 4.3 2 12.5 5 4 13.6 5.5 M \ kt**'QL -N'-l--*I^ 1_.522.s33.544.5

V (mmoVmin)

tSl (mM) No Inhibitor B (0.1mM) 1/ rs l LIV (no I) Llv (+B)0.2 5 2 5 0.2 0.50.4 7.5 a

J 2.5 0.1333333330.3333333330.8 l0 4 t .25 0.1 0.25t r0.7 4.3 1 0.093457944 0.232558142 12.5 5 0.5 0.08 0.24 13.6 5.5 0.25 0.0735294L2 0.181818182

\ o ( - r_-r \ Ii ' ;t.^.A- ltr ̂ 'tL' -!r,n\"rLdAJ2LWuraaNA- J/w"\u' __---*__

f ro i r th,&i \a_%l

ryi

i

--*"--*'-" ---* *--Y:-O$266x+ 0. | ,nl4T4h-t,\"rB

\ \ i f ' r .

TtJdn-&hf{hJt\^(-*.

-h\^'L''+\j

lC,n^ =

I

4

I5( I i rnf \Ag t;u) K^ .{-*f, savr.z-

l - \o r*LU,to, . 1=

o,>-a6r- + D,Dob9^ UY ^"YJ/\

V**^ - )_,rcs= i5e

(* = o,D>q,'-- +, o,D?bL .k= 0,1^\'-----t- 19'V {r^s/

-1- iahitr; h^ 4 = D,dob6x. + O,lbo _ /)-' *l*- : #*r(: (t'o "^J 1;>

i/ r\t i-(> vg.Dna{b8=g>V,r"f b,D

Page 6: Problem Set 2 F09 - Purdue University...V (mmoUmin) lSl (mM) No Inhibitor B (0.1mM) 0 0 0 0.2 5 2 0.4 7.5 J 0.8 l0 4 I r0.7 4.3 2 12.5 5 4 13.6 5.5 M \ kt**'QL -N'-l--*I^ 1_.522.s33.544.5

Qttrptt cwr+t+

Dl.l

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otr

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Ji l^A%L

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/ l

>tt^n dD D\I

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A^an yro 4-

a\tu-,4

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o

ll

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c.+o4