Selected article for: "differential equation and ODE ordinary differential equation system"

Author: Ojosnegros, Samuel; Beerenwinkel, Niko
Title: Models of RNA virus evolution and their roles in vaccine design
  • Document date: 2010_11_3
  • ID: 0q928h3b_48
    Snippet: This ordinary differential equation (ODE) system describes uninfected cells, x, being infected with efficiency b, infected cells, y, dying and releasing viral offspring at rate a, and free virus, v, being produced at rate k and inactivated at rate u. In the absence of viral infection, cells reproduce at rate l and die at rate d. Oversimplifying the role of the immune system, the immune cells, z, grow and die with rates c and b, respectively. They.....
    Document: This ordinary differential equation (ODE) system describes uninfected cells, x, being infected with efficiency b, infected cells, y, dying and releasing viral offspring at rate a, and free virus, v, being produced at rate k and inactivated at rate u. In the absence of viral infection, cells reproduce at rate l and die at rate d. Oversimplifying the role of the immune system, the immune cells, z, grow and die with rates c and b, respectively. They remove infected cells from the system with efficiency p. Each specific viral family may give rise to modifications of this model due to variations in its life cycle. But the ODE system is the core of a family of mathematical models that describe the turnover of viruses and cells during an infection.

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