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Theory and Modern Applications

Table 1 List of parameters

From: Viral dynamics of an HIV model with latent infection incorporating antiretroviral therapy

Paras

Definition

Unit

Data1

Data2

Data3

Range

Source

λ

T-cells source term

\(\mu l^{-1}~\mbox{day}^{-1}\)

10

10

10

1-10

[4, 11, 12, 20]

\(d_{T}\)

Death rate of healthy T-cells

day−1

0.03

0.01

0.01

0.01-0.1

[4, 11, 12, 20]

r

Growth rate of T-cells

day−1

0.1

0.03

0.1

0.03-0.1

[20]

\(T_{\max}\)

Carrying capacity of T-cells

\(\mu l^{-1}\)

1,500

1,500

1,500

1,500

[20]

k

Infection rate

\(\mu l~\mbox{day}^{-1}\)

10−4

10−4

10−4

10−5-10−2

[4, 11, 12, 16, 20]

η

Fraction of infections that result in latency

 

0.02

0.001

0.5

0.001-0.5

[4, 11, 12]

\(d_{L}\)

Death rate of latently infected T-cells

day−1

0.001

0.004

0.2

0.001-0.2

[4, 11, 12]

a

Transition rate

day−1

0.1

0.01

0.3

0.01-0.3

[4, 11, 12]

δ

Death rate of infected T-cells

day−1

1

1

0.8

0.5-1.4

[4, 11, 12, 20]

N

Burst term

virions/cell

1,000

200

500

200-3,000

[4, 11, 12, 16, 20]

c

Clearance rate of virus

day−1

20

3

15

3-36

[4, 11, 12, 20]

\(n_{rt}\)

RTI efficacy

 

0.4, 0.5, 0.7

0.4

0.3

0-1

-

\(n_{p}\)

PI efficacy

 

0.5, 0.6, 0.8

0.5

0.4

0-1

-