title: Mathematical modeling for intracellular transport and binding of HIV-1 Gag proteins.
abstract: This paper presents a modeling study for the intracellular trafficking and trimerization of the HIV-1 Gag proteins. A set of differential equations including initial and boundary conditions is used to characterize the transport, diffusion, association and dissociation of Gag monomers and trimers for the time period from the initial production of Gag protein monomers to the initial appearance of immature HIV-1 virions near the cell membrane (the time duration Ta). The existence and stability of the steady-state solution of the initial boundary value problems provide a quantitative characterization of the tendency and equilibrium of Gag protein movement. The numerical simulation results further demonstrate Gag trimerization near the cell membrane. Our calculations of Ta are in good agreement with published experimental data. Sensitivity analysis of Ta to the model parameters indicates that the timing of the initial appearance of HIV-1 virions on the cell membrane is affected by the diffusion and transport processes. These results provide important information and insight into the Gag protein transport and binding and HIV-1 virion formation.
authors: School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China; Department of Mathematics, Shaoxing University, Shaoxing 312000, China.
authors: Yuanbin
authors: Y
authors: Wang
authors: College of Science, Huazhong Agricultural University, Wuhan 430070, China.
authors: Jinying
authors: J
authors: Tan
authors: Department of Mathematics, Colorado State University, Fort Collins, CO 80523, USA.
authors: Farrah
authors: F
authors: Sadre-Marandi
authors: Department of Mathematics, Colorado State University, Fort Collins, CO 80523, USA.
authors: Jiangguo
authors: J
authors: Liu
authors: School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China. Electronic address: xfzou@whu.edu.cn.
authors: Xiufen
authors: X
authors: Zou
mesh_terms: D002462:Cell Membrane / Q000821:virology; D003198:Computer Simulation; D015497:HIV-1 / Q000502:physiology*; D006801:Humans; D055641:Mathematical Concepts; D008954:Models, Biological; D011485:Protein Binding; D055503:Protein Multimerization; D019065:Virus Assembly; D054301:gag Gene Products, Human Immunodeficiency Virus / Q000737:chemistry / Q000378:metabolism*
chemical_list: D054301:gag Gene Products, Human Immunodeficiency Virus
keywords: Gag protein; HIV-1; Mathematical modeling; Monomers; Stability; Trimers