JWS Online

Model

Name

kamboj1

Notes

Multidrug therapy for HIV infection

Substance units

cells

Time units

days

Volume units

Area units

None

Length units

None

Reaction extent units

None

Multidrug Therapy for HIV Infection: Dynamics of Immune System.

Deepmala Kamboj
MD Sharma

Acta Biotheor. 2019; 67 (2): 129

PubMed: 30515609
PubMed Central: PMC30515609
DOI: 10.1007/s10441-018-9340-0
ISSN: 1572-8358
URL: https://ncbi.nlm.nih.gov/pubmed/30515609

Abstract

A mathematical model of the dynamics of the immune system is considered to illustrate the effect of its response to HIV infection, i.e. on viral growth and on T-cell dynamics. The specific immune response is measured by the levels of cytotoxic lymphocytes in a human body. The existence and stability analyses are performed for infected steady state and uninfected steady state. In order to keep infection under control, roles of drug therapies are analyzed in the presence of efficient immune response. Numerical simulations are computed and exhibited to illustrate the support of the immune system to drug therapies, so as to ensure the decay of infection and to maintain the level of healthy cells.

Simulations using this model 31

Simulation
kamboj2018_Fig8	SED-ML COMBINE Archive
kamboj2018_Fig8	SED-ML COMBINE Archive
kamboj2018_Fig8	SED-ML COMBINE Archive
kamboj2018_Fig8	SED-ML COMBINE Archive
kamboj2018_Fig1A_B	SED-ML COMBINE Archive
kamboj2018_Fig1A_B	SED-ML COMBINE Archive
kamboj2018_Fig2ABCD	SED-ML COMBINE Archive
kamboj2018_Fig2ABCD	SED-ML COMBINE Archive
kamboj2018_Fig2ABCD	SED-ML COMBINE Archive
kamboj2018_Fig2ABCD	SED-ML COMBINE Archive
kamboj2018_Fig2ABCD	SED-ML COMBINE Archive
kamboj2018_Fig2ABCD	SED-ML COMBINE Archive
kamboj2018_Fig2ABCD	SED-ML COMBINE Archive
kamboj2018_Fig2ABCD	SED-ML COMBINE Archive
kamboj2018_Fig3ABCD	SED-ML COMBINE Archive
kamboj2018_Fig3ABCD	SED-ML COMBINE Archive
kamboj2018_Fig3ABCD	SED-ML COMBINE Archive
kamboj2018_Fig3ABCD	SED-ML COMBINE Archive
kamboj2018_Fig3ABCD	SED-ML COMBINE Archive
kamboj2018_Fig3ABCD	SED-ML COMBINE Archive
kamboj2018_Fig3ABCD	SED-ML COMBINE Archive
kamboj2018_Fig3ABCD	SED-ML COMBINE Archive
kamboj2018_Fig9	SED-ML COMBINE Archive
kamboj2018_Fig9	SED-ML COMBINE Archive
kamboj2018_Fig10	SED-ML COMBINE Archive
kamboj2018_Fig10	SED-ML COMBINE Archive
kamboj2018_Fig10	SED-ML COMBINE Archive
kamboj2018_Fig10	SED-ML COMBINE Archive
kamboj2018_Fig11	SED-ML COMBINE Archive
kamboj2018_Fig11	SED-ML COMBINE Archive
kamboj2018_Fig11	SED-ML COMBINE Archive

Unit definitions 4

Unit definitions have no effect on the numerical analysis of the model. It remains the responsibility of the modeler to ensure the internal numerical consistency of the model. If units are provided, however, the consistency of the model units will be checked.

Name	Definition
—	86400.0 second
—	—
—	1000000.0 litre^(-1.0)
—	1e-06 litre

Compartments 1

Id	Name	Spatial dimensions	Size
default	default	3.0	1.0 uL

Species 5

Id	Name	Initial quantity	Compartment	Fixed
CD8	Immune population of CTLs	1.0 cells/uL	default (default)	✘
T	uninfected CD4 T cells	300.0 cells/uL	default (default)	✘
T1	preRT infected T cells	0.0 cells/uL	default (default)	✘
T2	postRT infected T cells	0.0 cells/uL	default (default)	✘
V	Free virus	10.0 cells/uL	default (default)	✘

Initial assignments 0

Initial assignments are expressions that are evaluated at time=0. It is not recommended to create initial assignments for all model entities. Restrict the use of initial assignments to cases where a value is expressed in terms of values or sizes of other model entities. Note that it is not permitted to have both an initial assignment and an assignment rule for a single model entity.

Definition

Reactions 16

Id	Name	Reaction Equation and Kinetic Law
v1	v1	∅ = T s
v10	v10	∅ = T2 (1 - RT) * a * T1
v11	v11	T2 = ∅ delta * T2
v12	v12	T2 = ∅ dx * CD8 * T2
v13	v13	∅ = V (1 - PI) * delta * Nv * T2
v14	v14	V = ∅ muv * V
v15	v15	∅ = CD8 p * T2
v16	v16	CD8 = ∅ dE * CD8
v2	v2	T = ∅ mu * T
v3	v3	∅ = T r * T * (1 - T / Tmax)
v4	v4	T = T1 k * V * T
v5	v5	T1 = T b * T1
v6	v6	∅ = T RT * a * T1
v7	v7	T1 = ∅ mu1 * T1
v8	v8	T1 = ∅ a * T1
v9	v9	T1 = ∅ b * T1

Parameters 0 16

Global parameters

Id	Value
Nv	1000.0
PI	0.0
RT	0.0
Tmax	1500.0
a	0.4
b	0.05
dE	0.1
delta	0.24
dx	0.01
k	0.000024
mu	0.01
mu1	0.015
muv	2.4
p	1.02
r	0.03
s	10.0

Local parameters

Id	Value	Reaction

Rules 0 0 0

Assignment rules

Definition

Rate rules

Definition

Algebraic rules

Definition

Function definitions 0

Definition

Events 0

Trigger	Assignments