This course introduces how to perform abstraction of genetic circuit models. The first module teaches reaction-based abstraction methods that apply steady-state approximations to reduce the complexity and improve the analysis time of these models. The second module describes piecewise approximations to simplify non-linear reaction-based models of genetic circuits. The third module presents Markov chain models and methods for analyzing them. The fourth module provides methods to abstract models even further using state-based abstraction methods. Finally, the fifth module demonstrates methods, such as infinite-state stochastic model checking, to determine the likelihood that a genetic circuit hazard will cause circuit failure.
This course can also be taken for academic credit as ECEA 5935, part of CU Boulder’s Master of Science in Electrical Engineering.
This module will introduce methods to simplify chemical reaction models using automated model abstraction techniques.
涵盖的内容
13个视频6篇阅读材料2个作业1次同伴评审
显示有关单元内容的信息
13个视频•总计136分钟
Overview•7分钟
Irrelevant Node Elimination•7分钟
Production-Passage-Time Approximation•3分钟
Michaelis-Menten Equation•12分钟
Enzymatic Approximation Transformation•14分钟
Models for Repression and Activation•19分钟
Operator Site Reduction Derivation•7分钟
Operator Site Reduction Transformation•15分钟
Statistical Thermodynamical Model Overview•2分钟
Statistical Thermodynamical Model Example•23分钟
Dimerization Reduction•8分钟
Application to the Phage Lambda Model•9分钟
Stoichiometry Amplification•10分钟
6篇阅读材料•总计51分钟
Course Updates and Accessibility Support•1分钟
Non-Credit Students: Welcome and Where to Find Help•10分钟
Optional Reading Materials •10分钟
Engineering Genetic Circuits Chapter 5 (Section 5.1 and 5.2)•10分钟
Engineering Genetic Circuits Chapter 5 (Section 5.3 and 5.4)•10分钟
Engineering Genetic Circuits Chapter 5 (Section 5.5 to 5.8)•10分钟
2个作业•总计50分钟
Enzymatic Approximation•25分钟
Operator Site Reduction•25分钟
1次同伴评审•总计60分钟
Reaction-based Abstraction of a Genetic Toggle Switch •60分钟
Piecewise Models
第 2 单元•小时 后完成
单元详情
This module will introduce methods for abstracting models using piecewise linear representations.
涵盖的内容
12个视频3篇阅读材料3个作业
显示有关单元内容的信息
12个视频•总计56分钟
Logical Encoding Overview•7分钟
Hill Functions•3分钟
Critical Thresholds, Intervals, and Regulatory Domains•6分钟
Piecewise Linear Differential Equations Overview•4分钟
Piecewise Linear Differential Equations Solutions•4分钟
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