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CBE 504Homework #1

Due February 8, 2016 by 5pm

(You may work in groups on the homework but the solutions should be your own work. Consulting

past years homework, answer keys, or online solutions is not allowed and will result in an automatic

0 for the assignment.)

1. Consier !"e reersib$e prou%!&'orma!ion rea%!ion in an en(yme&%a!a$y(e biorea%!ion) k1 k2

S+EESE+P

k&1 k&2

Dee$op a ra!e e*pression 'or prou%!&'orma!ion usin+ !"e uasi s!eay&s!a!e appro*ima!ion an

s"ow !"a!

v=d [P]dt

=( v s

Km

)[ S ]

(v p

Kp

)[P ]

1+[S ]

Km+[P ]

Kp

-"ereKm=

k1+k2k1 an

Kp=k1+k2k2 an

v s=k2[E0] anvp=k1[E0] .

2. "e en(yme, 'umarase, "as !"e 'o$$owin+ kine!i% %ons!an!s) k1 k2

S+EESE+P

k&1

w"ere k 1/ 10&1s&1

k&1/4.4 * 104s&1

k2/ 10s&1

a. -"a! is !"e a$ue o' !"e i%"ae$is %ons!an! 'or !"is en(yme3

b. ! an en(yme %on%en!ra!ion o' 10&6, w"a! wi$$ be !"e ini!ia$ ra!e o' prou%! 'orma!ion a! asubs!ra!e %on%en!ra!ion o' 10&3

. n in"ibi!or 7 is ae !o !"e en(yma!i% rea%!ion a! a $ee$ o' 1.0 +$. "e 'o$$owin+ a!a were

ob!aine 'or 9m/ .2 + :$.

s

.0 20

.658 10

.4 6.6;

.4 5

. 4

.28 .

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.22; 2.5

a. s !"e in"ibi!or %ompe!i!ie or non%ompe!i!ie3

b. Fin 9.

4. De%arbo*y$a!ion o' +$yo*a$a!e :7 by mi!o%"onria is in"ibi!e by ma$ona!e 7.