Two different enzymes catalyze the same reaction and both exhibit the same Vmax. When Enzyme A was run with a 40 uM substrate, the initial rate (Vo) was 10 uM/min, and when g it was run with a 4 mM substrate, the Vo was 20 uM/min. Estimate the approximate Vmax and Km of Enzyme A. When Enzyme B was run with 80 uM substrate, the initial rate (Vo) was 10 uM per minute. Estimate the Km of Enzyme B.
Answer:
a) k_m = 4.08 uM
V_{max} = 20.07 uM/min
b) k_m = 8.16 uM
Explanation:
Given that:
For Enzyme A:
the substrate concentration [S] = 40 uM
the initial velocity rate v = 10 uM/min
when it was 4mM, v = 20 uM/min
i.e.
at 4mM = 4000 uM;
Using Michealis -menten equation;
when v = 10
[tex]V = \dfrac{V_{max}[S]}{k_m+[S]}[/tex]
∴
[tex]10 = \dfrac{V_{max}\times 40}{k_m + 40}[/tex]
[tex]10 (k_m + 40) = V_{max}40[/tex]
[tex]40V_{max} -10k_m = 400 --- (1)[/tex]
when v= 20
[tex]20= \dfrac{V_{max}\times 4000}{k_m + 4000}[/tex]
[tex]20 (k_m + 4000) = V_{max}4000[/tex]
[tex]4000V_{max} -20k_m = 8000 --- (2)[/tex]
equating equation (1) and (2):
[tex]40V_{max} -10k_m = 400 --- (1)[/tex]
[tex]4000V_{max} -20k_m = 8000 --- (2)[/tex]
let multiply equation (1) by 100 and equation (2) by 1
4000V_{max} - 1000K_m = 4000
4000V_{max} - 20 k_m = 8000
0 -980k_m = 4000
k_m = 4000/-980
k_m = 4.08 uM
replacing the value of k_m into equation (1)
40{V_max } - 10(4.08) = 400
40{V_max } - 40.8 = 400
40{V_max } = 400 + 40.8
40{V_max } = 440.8
V_{max} = 440.8/40
V_{max} = 11.02 uM/min
b)
Since V_{max} of A ie equivalent to that of B; then:
V_{max} of B = 11.02 uM/min
Here;
[S] = 80 uM
V = 10 uM/min
∴
[tex]10 = \dfrac{11.02 \times 80}{k_m + 80 }[/tex]
10(k_m +80) = 881.6
10k_m = 881.6 - 800
10k_m = 81.6
k_m = 81.6/10
k_m = 8.16 uM
economic importance of mosquito larva list five
Explanation:
economic importance of mosquito larva are
Mosquito larvae grow by consuming microorganisms such as algae and microbes that decompose decaying plant material. Larval mosquitoes contribute to aquatic food chains by serving as food sources for many predators, including fish and birds.i hope it will help you