100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
Previously searched by you
Previously searched by you
logo
Modelling Within-Host Immune Response: Health economics and mathematical models of infectious diseases $3.75   Add to cart
Quickly navigate to
Preview
  2.  
  3. Universiteit Antwerpen (UA)
  4.  
  5. Biomedische Wetenschappen
  6.  
  7. Health economics and mathematical models (2108FBDBMW)

Class notes

Modelling Within-Host Immune Response: Health economics and mathematical models of infectious diseases
 45 views  5 purchases
  • Course
  • Health economics and mathematical models (2108FBDBMW)
  • Institution
  • Universiteit Antwerpen (UA)

Part of the course Health economics and mathematical models of infectious diseases given by professor Ogunjimi on 21/10.

Preview 1 out of 4  pages

Document information

  • November 26, 2022
  • 4
  • 2022/2023
  • Class notes
  • Professor ogunjimi
  • 21/10

Subjects

  • ogunjimi
  • modelling
  • health economics
  • health economics and mathematical models of infectious diseases

Written for

  • Universiteit Antwerpen (UA)
  • Biomedische Wetenschappen
  • Health economics and mathematical models (2108FBDBMW)
All documents for this subject (3)

Seller

avatar-seller
Bi0med

Reviews received

Content preview

Modelling within-host immune
response
21/10 PROF. OGUNJIMI


Question 1:

Imagine a population of uninfected cells U, a population of infected cells I and a population of
circulating viruses v

 U = uninfected cells
 I = infected cells
 V = virus (the infected cells produce viruses)

Try and write down with help from the SIR model how you would describe the kinetics / dynamics &
apply it on this system.

Answer:

 Static model γ = bursting rate
β γ
dU
dt
=¿ - β * U * V U ---> I ---> V
dI
=¿ β * U * V – γ * I
dt

dV
=¿ γ * I
dt

 Dynamic model B = new cell influx μ = death rate

dU
=¿ - β * U * V + B – μ * U
dt

dI dI
=¿ β * U * V – γ * I – μ * I or =¿ β * U * V – μI * I
dt dt

dV
=¿ γ * I – μV * V
dt

β∗B∗γ
R0 = ∗R 0
μI ∗μU ∗μV

R0 thus resembles the number of newly infected cells that arise from one initially infected cell given
an entirely susceptible cell population. Note that when no viruses are present the equilibrium
condition for the uninfected cells becomes U = B / µ U

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller Bi0med. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for $3.75. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

67474 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 14 years now

Start selling
$3.75  5x  sold
  • (0)
  Add to cart