Cyclic Peptide Sequencing Problem: Difference between revisions
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(Created page with "{{DISPLAYTITLE:Cyclic Peptide Sequencing Problem (Cyclic Peptide Sequencing Problem)}} == Description == Given an experimental $MS^3$ spectrum $S$, find a cyclic peptide $P$ maximizing the number of shared masses between $S$ and the theoretical spectrum of $P$. == Parameters == No parameters found. == Table of Algorithms == {| class="wikitable sortable" style="text-align:center;" width="100%" ! Name !! Year !! Time !! Space !! Approximation Factor !! Model !! R...") |
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== Parameters == | == Parameters == | ||
$n$: size of peptide, in daltons | |||
$m$: number of elements in experimental spectrum | |||
== Table of Algorithms == | == Table of Algorithms == | ||
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| [[Brute force (Cyclic Peptide Sequencing Problem Cyclic Peptide Sequencing Problem)|Brute force]] || 1987 || ${2}^{O(n)}$ || $O(n)$ | | [[Brute force (Cyclic Peptide Sequencing Problem Cyclic Peptide Sequencing Problem)|Brute force]] || 1987 || ${2}^{O(n)}$ || $O(n)$ || Exact || Deterministic || | ||
|- | |- | ||
| [[Branch and bound (Cyclic Peptide Sequencing Problem Cyclic Peptide Sequencing Problem)|Branch and bound]] || 1993 || ${2}^{O(n)}$ || $O({2}^{O(n)})$ | | [[Branch and bound (Cyclic Peptide Sequencing Problem Cyclic Peptide Sequencing Problem)|Branch and bound]] || 1993 || ${2}^{O(n)}$ || $O({2}^{O(n)})$ || Exact || Deterministic || | ||
|- | |- | ||
|} | |} | ||
== Time Complexity | == Time Complexity Graph == | ||
[[File:Cyclic Peptide Sequencing Problem - Time.png|1000px]] | [[File:Cyclic Peptide Sequencing Problem - Time.png|1000px]] | ||
Latest revision as of 10:11, 28 April 2023
Description
Given an experimental $MS^3$ spectrum $S$, find a cyclic peptide $P$ maximizing the number of shared masses between $S$ and the theoretical spectrum of $P$.
Parameters
$n$: size of peptide, in daltons
$m$: number of elements in experimental spectrum
Table of Algorithms
| Name | Year | Time | Space | Approximation Factor | Model | Reference |
|---|---|---|---|---|---|---|
| Brute force | 1987 | ${2}^{O(n)}$ | $O(n)$ | Exact | Deterministic | |
| Branch and bound | 1993 | ${2}^{O(n)}$ | $O({2}^{O(n)})$ | Exact | Deterministic |
Time Complexity Graph
