Name
Abstract | ||
|---|---|---|
Virus trafficking is fundamental for infection success, and plasmid cytosolic trafficking is a key step of gene delivery. Based on the main physical properties of the cellular transport machinery such as microtubules and motor proteins, our goal here is to derive a mathematical model to study cytoplasmic trafficking. Because experimental results reveal that both active and passive movements are necessary for a virus to reach the cell nucleus, by taking into account the complex interactions of the virus with the microtubules, we derive here an estimate of the mean time a virus reaches the nucleus. In particular, we present a mathematical procedure in which the complex viral movement, oscillating between pure diffusion and a deterministic movement along microtubules, can be approximated by a steady state stochastic equation with a constant effective drift. An explicit expression for the drift amplitude is given as a function of the real drift, the density of microtubules, and other physical parameters. The present approach can be used to model viral trafficking inside the cytoplasm, which is a fundamental step of viral infection, leading to viral replication and, in some cases, to cell damage. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1137/060672820 | SIAM JOURNAL ON APPLIED MATHEMATICS |
Keywords | Field | DocType |
virus trafficking,cytoplasmic transport,mean first passage time,exit points distribution,stochastic processes,wedge geometry | Virus,Nucleus,Microtubule,Gene delivery,Biophysics,Mathematical analysis,Cytoplasm,Stochastic process,Steady state,Mathematics,Motor protein | Journal |
Volume | Issue | ISSN |
68 | 4 | 0036-1399 |
Citations | PageRank | References |
2 | 0.52 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| THIBAULT LAGACHEAND | 1 | 2 | 0.52 |
| David Holcman | 2 | 76 | 14.22 |