# Team:Peking University/Modeling

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## Contents |

# [edit] Mathematical Analysis

## [edit] Introduction

The circuit constructed in vivo in eukaryotic system plays random mutation and artificial function, which theoretically involves proteins and RNAs. However, it remains a question for the efficiency of the random mutation, or the mutation spread space over time. Here we represent a mathematical analysis to solve these problems theoretically.

## [edit] Goal

- Give out sequence spread space by mutation over time
- Calculate for the efficiency from a specific sequence to a goal sequence over a fixed time

## [edit] Details

- Part 1 Mutation Model
- Part 2 Genetic Circuit
- Part 3 Integration of Two Models

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