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There are 4 modules in this course
This course covers approaches for modelling treatment of infectious disease, as well as for modelling vaccination. Building on the SIR model, you will learn how to incorporate additional compartments to represent the effects of interventions, such the effect of vaccination in reducing susceptibility. You will learn about ‘leaky’ vaccines and how to model them, as well as different types of vaccine and treatment effects. It is important to consider basic relationships between models and data, so, using the basic SIR model you have developed in course 1, you will calibrate this model to epidemic data. Performing such a calibration by hand will help you gain an understanding of how model parameters can be adjusted in order to capture real-world data. Lastly in this course, you will learn about two simple approaches to computer-based model calibration - the least-squares approach and the maximum-likelihood approach; you will perform model calibrations under each of these approaches in R.
Once you have captured the basic dynamics of transmission using simple mathematical models, it is possible to use these models to simulate the impact of different interventions. You will study approaches for modelling treatment of infectious disease, as well as for modelling vaccination. Building on the SIR model, you will learn how to incorporate additional compartments to represent the effects of interventions (for example, the effect of vaccination in reducing susceptibility). You will learn about ‘leaky’ vaccines and how to model them, as well as different types of vaccine and treatment effects.
All models answering public health questions first need to be matched, or ‘calibrated’, against real-world data to ensure that model-simulated dynamics are consistent with what is observed. In this module, you will consider basic relationships between models and data. Using the basic SIR model that you've developed so far, you will calibrate this model to epidemic data. Through performing this calibration by hand, you'll gain an understanding of how model parameters can be adjusted so as to order to capture real-world data.
What's included
4 videos1 discussion prompt4 ungraded labs
Show info about module content
4 videos•Total 14 minutes
Models and Data: A Brief Detour into the Solar System•6 minutes
Relationships Between Models and Data•4 minutes
Modelling with Insufficient Data•2 minutes
Modelling with Sufficient Data•2 minutes
1 discussion prompt•Total 20 minutes
Share your values for beta and gamma•20 minutes
4 ungraded labs•Total 160 minutes
Manual calibration of an SIR model, Part I•60 minutes
Solution: Manual calibration of an SIR model, Part I•20 minutes
Manual calibration of an SIR model, part II •60 minutes
Solution: Manual Calibration of an SIR Model, Part II•20 minutes
Confronting Models with Data - Part B
Module 3•4 hours to complete
Module details
In practice model calibration for compartmental models is rarely done by hand. Rather, we construct a function that summarises the goodness-of-fit between the model and the data and then use available computer algorithms to maximise this goodness-of-fit. In these next two modules, you will learn about two simple approaches to computer-based model calibration: the least-squares approach and the maximum-likelihood approach. You will perform model calibrations under each of these approaches in R.
What's included
3 videos6 ungraded labs
Show info about module content
3 videos•Total 8 minutes
Computer-based Calibration: The Overall Approach•3 minutes
Introduction to Least-Squares Calibration•4 minutes
Recap: Least-squares Estimation•2 minutes
6 ungraded labs•Total 240 minutes
Writing a sum-of-squares function in R•60 minutes
Solution: Writing a sum-of-squares function in R•20 minutes
Solution: How Calibrations Inform Policy•20 minutes
Confronting models with data – Part C
Module 4•6 hours to complete
Module details
Please note - learning outcomes are the same across both this and the last module. In practice, model calibration for compartmental models is rarely done by hand. Rather, we construct a function that summarises the goodness-of-fit between the model and the data and then use available computer algorithms to maximise this goodness-of-fit. In these two modules, you'll learn about two simple approaches to computer-based model calibration: the least-squares approach, and the maximum-likelihood approach. You will perform model calibrations under each of these approaches in R.
What's included
4 videos1 reading2 assignments4 ungraded labs
Show info about module content
4 videos•Total 10 minutes
The Concept of Likelihood•2 minutes
Constructing a Likelihood Function•2 minutes
To Log or not to Log?•2 minutes
Overview of Model Calibration•3 minutes
1 reading•Total 20 minutes
Modelling Project •20 minutes
2 assignments•Total 35 minutes
Which is the Correct Code Block?•5 minutes
Modelling outputs •30 minutes
4 ungraded labs•Total 320 minutes
Which is the correct code block?•60 minutes
Performing maximum likelihood estimate•60 minutes
Solution: Performing maximum likelihood estimate•20 minutes
Modelling Project •180 minutes
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Imperial College London is a world top ten university with an international reputation for excellence in science, engineering, medicine and business. located in the heart of London. Imperial is a multidisciplinary space for education, research, translation and commercialisation, harnessing science and innovation to tackle global challenges.
Imperial students benefit from a world-leading, inclusive educational experience, rooted in the College’s world-leading research. Our online courses are designed to promote interactivity, learning and the development of core skills, through the use of cutting-edge digital technology.
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IH
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Reviewed on Sep 20, 2020
Such a great learning experience. The course provided me with a comprehensive overview of the topics under concern. My gratitude to the instructors for creating such a valuable course.
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Reviewed on Dec 24, 2021
Very useful course.. I have learnt many things useful for my career
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MM
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Reviewed on Aug 8, 2021
Stuck in last quiz for many hours, dig in many forums. Finally learn in-depth how and why model structure be like that. 5/5 would loss in thought again.
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What will I get if I subscribe to this Specialization?
When you enroll in the course, you get access to all of the courses in the Specialization, and you earn a certificate when you complete the work. Your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile.
Is financial aid available?
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