Spatiotemporal Dynamics of Virus Infection Spreading in Tissues.

作者: Gennady Bocharov , Andreas Meyerhans , Nickolai Bessonov , Sergei Trofimchuk , Vitaly Volpert

DOI: 10.1371/JOURNAL.PONE.0168576

关键词: VirusHepatitis B virusImmune systemImmunologyViral diseaseViral loadVirologyHepatitis BChronic infectionCytotoxic T cellBiology

摘要: Virus spreading in tissues is determined by virus transport, multiplication host cells and the virus-induced immune response. Cytotoxic T remove infected with a rate infection level. The intensity of response has bell-shaped dependence on concentration virus, i.e., it increases at low decays high levels. A combination these effects time delay determine development like spleen or lymph nodes. mathematical model described this work consists reaction-diffusion equations delay. It shows that different regimes establishment level infection, transition between both are initial load dynamics solutions include simple composed waves, periodic aperiodic oscillations. results analytical numerical studies provide systematic basis for quantitative understanding interpretation determinants process target organs from image-derived data as well spatiotemporal mechanisms viral disease pathogenesis, have direct implications biopsy-based medical testing chronic processes caused viruses, e.g. HIV, HCV HBV.

参考文章(83)
R. D. Driver, Introduction to Delay Differential Equations Springer, New York, NY. pp. 225- 267 ,(1977) , 10.1007/978-1-4684-9467-9_5
Shiwang MA, Jianhong WU, Existence, Uniqueness and Asymptotic Stability of Traveling Wavefronts in A Non-Local Delayed Diffusion Equation Journal of Dynamics and Differential Equations. ,vol. 19, pp. 391- 436 ,(2007) , 10.1007/S10884-006-9065-7
Zvi Grossman, Michael Polis, Mark B. Feinberg, Zehava Grossman, Itschak Levi, Shirley Jankelevich, Robert Yarchoan, Jacob Boon, Frank de Wolf, Joep M.A. Lange, Jaap Goudsmit, Dimiter S. Dimitrov, William E. Paul, Ongoing HIV dissemination during HAART Nature Medicine. ,vol. 5, pp. 1099- 1104 ,(1999) , 10.1038/13410
Aizik Volpert, Vitaly Volpert, Vladimir Volpert, Traveling wave solutions of parabolic systems Translations of Mathematical#N# Monographs. ,vol. 140, ,(1994) , 10.1090/MMONO/140
Frederik Graw, Danyelle N. Martin, Alan S. Perelson, Susan L. Uprichard, Harel Dahari, Quantification of Hepatitis C Virus Cell-to-Cell Spread Using a Stochastic Modeling Approach Journal of Virology. ,vol. 89, pp. 6551- 6561 ,(2015) , 10.1128/JVI.00016-15
Vitaly A Likhoshvai, Tamara M Khlebodarova, Sergei I Bazhan, Irina A Gainova, Valery A Chereshnev, Gennady A Bocharov, Mathematical model of the Tat-Rev regulation of HIV-1 replication in an activated cell predicts the existence of oscillatory dynamics in the synthesis of viral components BMC Genomics. ,vol. 15, pp. 1- 18 ,(2014) , 10.1186/1471-2164-15-S12-S1
Jian Fang, Xiao-Qiang Zhao, Bistable Traveling Waves for Monotone Semiflows with Applications Journal of the European Mathematical Society. ,vol. 17, pp. 2243- 2288 ,(2015) , 10.4171/JEMS/556
Gui-Quan Sun, Ze-Yan Wu, Zhen Wang, Zhen Jin, Influence of isolation degree of spatial patterns on persistence of populations Nonlinear Dynamics. ,vol. 83, pp. 811- 819 ,(2016) , 10.1007/S11071-015-2369-6