(c) Let us consider the following toehold DNA system: 2 1 2 // 2* 1* In textual form this is given by {1^*}[ 2 1^] and <1^ 2>. Assume that the toehold <1^> is 4 nucleotides long and the long domain <2> is 20 nucleotides long. What is the impact if we increased the length of the toehold to 5? Answer using at most 2 sentences / bullet points. (d) Assume the same system as in (c). At the beginning the system contains 100 copies of {1^*}[ 2 1^] and 100 copies of <1^ 2>. What is the average number of <1^ 2> that we will observe once the system has reached steady state?
(c) Let us consider the following toehold DNA system: 2 1 2 // 2* 1* In textual form this is given by {1^*}[ 2 1^] and <1^ 2>. Assume that the toehold <1^> is 4 nucleotides long and the long domain <2> is 20 nucleotides long. What is the impact if we increased the length of the toehold to 5? Answer using at most 2 sentences / bullet points. (d) Assume the same system as in (c). At the beginning the system contains 100 copies of {1^*}[ 2 1^] and 100 copies of <1^ 2>. What is the average number of <1^ 2> that we will observe once the system has reached steady state?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![(c) Let us consider the following toehold DNA system:
2
12
11/2
1* 2* 1*
In textual form this is given by {1^*}[ 2 1^] and <1^ 2>. Assume that the
toehold <1^> is 4 nucleotides long and the long domain <2> is 20
nucleotides long. What is the impact if we increased the length of the
toehold to 5? Answer using at most 2 sentences / bullet points.
(d) Assume the same system as in (c). At the beginning the system contains
100 copies of {1^*}[ 2 1^] and 100 copies of <1^ 2>. What is the average
number of <1^ 2> that we will observe once the system has reached
steady state?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fabb1ef21-8e44-4b5c-aa04-0818d68034c7%2Fa29c0911-e875-40a8-82bb-7c192dc5e451%2F49y343d_processed.png&w=3840&q=75)
Transcribed Image Text:(c) Let us consider the following toehold DNA system:
2
12
11/2
1* 2* 1*
In textual form this is given by {1^*}[ 2 1^] and <1^ 2>. Assume that the
toehold <1^> is 4 nucleotides long and the long domain <2> is 20
nucleotides long. What is the impact if we increased the length of the
toehold to 5? Answer using at most 2 sentences / bullet points.
(d) Assume the same system as in (c). At the beginning the system contains
100 copies of {1^*}[ 2 1^] and 100 copies of <1^ 2>. What is the average
number of <1^ 2> that we will observe once the system has reached
steady state?
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