Mathematical models of the interrelated dynamics of hepatitis D and B

Mathematical Biosciences

Volumn 247, Issue 1, 2014, Pages 38-46

  Packer, Aaron ^a   Forde, Jonathan ^b   Hews, Sarah ^c   Kuang, Yang ^a,d  

^a ARIZONA STATE UNIVERSITY   (United States)

^b HOBART AND WILLIAM SMITH COLLEGES   (United States)

^c HAMPSHIRE COLLEGE   (United States)

^d KING ABDULAZIZ UNIVERSITY   (Saudi Arabia)

Author keywords

HBV; HDV; Hepatitis B; Hepatitis delta; Lamivudine; Mathematical model

Indexed keywords

HBV; HDV; HEPATITIS B; HEPATITIS DELTA; LAMIVUDINE;

CELL PROLIFERATION; COMPUTER SIMULATION; VIRUSES;

MATHEMATICAL MODELS;

LAMIVUDINE; VIRUS RNA;

COMPUTER SIMULATION; HEPATITIS; NUMERICAL MODEL;

ARTICLE; CELL DIVISION; CELL INTERACTION; CELL POPULATION; CELL PROLIFERATION; CLINICAL EFFECTIVENESS; DELTA AGENT HEPATITIS; DISEASE ACTIVITY; DISEASE ASSOCIATION; DRUG EFFICACY; HEPATITIS B; HUMAN; LIVER CELL; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; MOLECULAR DYNAMICS; NONHUMAN; OUTCOME ASSESSMENT; PATIENT ASSESSMENT; PROCESS DEVELOPMENT; PROCESS MODEL; SIGNAL TRANSDUCTION; STEADY STATE; VALIDATION PROCESS; VIRION; VIRUS REPLICATION; BIOLOGICAL MODEL; COINFECTION; COMPUTER SIMULATION; DRUG EFFECTS; HEPATITIS B VIRUS; HEPATITIS D; HEPATITIS DELTA VIRUS; IMMUNOLOGY; VIROLOGY;

CELL PROLIFERATION; COINFECTION; COMPUTER SIMULATION; HEPATITIS B; HEPATITIS B VIRUS; HEPATITIS D; HEPATITIS DELTA VIRUS; HEPATOCYTES; HUMANS; LAMIVUDINE; MODELS, IMMUNOLOGICAL; VIRUS REPLICATION;

EID: 84892426813     PISSN: 00255564     EISSN: 18793134     Source Type: Journal    
DOI: 10.1016/j.mbs.2013.10.004     Document Type: Article

References (29)

1. Wedemeyer H. Hepatitis D revival. Liver International 2011, 31:140.
2. Taylor J. Hepatitis delta virus. Virology 2006, 344:71.
3. Schaper M., Rodriguez-Frias F., Jardi R., Tabernero D., Homs M., Ruiz G., Quer J., Esteban R., Buti M. Quantitative longitudinal evaluations of hepatitis delta virus rna and hepatitis B virus DNA shows a dynamic, complex replicative profile in chronic hepatitis B and D. Journal of Hepatology 2010, 52:658.
4. Jardi R., Rodriguez F., Buti M., Costa X., Cotrina M., Galimany R., Esteban R., Guardia J. Role of hepatitis B, C, and D viruses in dual and triple infection: Influence of viral genotypes and hepatitis B precore and basal core promoter mutations on viral replicative interference. Hepatology 2001, 34:404.
5. Zachou K., Yurdaydin C., Drebber U., Dalekos G., Erhardt A., Cakaloglu Y., Degertekin H., Gurel S., Zeuzem S., Bozkaya H., Schlaphoff V., Dienes H., Bock T., Manns M.P., Wedemeyer H. Quantitative HBsAg and HDV-RNA levels in chronic delta hepatitis. Liver International 2010, 30:430.
6. Zhang X.S., Holt J., Colvin J. Mathematical models of host plant infection by helper-dependent virus complexes: why are helper viruses always avirulent?. Analytical and Theoretical Plant Pathology 2000, 90:85.
7. Zhang X.S., Holt J., Colvin J. Synergism between plant viruses: a mathematical analysis of the epidemiological implications. Plant Pathology 2001, 50:732.
8. de Sousa B.C., Cunha C. Development of mathematical models for the analysis of hepatitis delta virus viral dynamics. PLoS One 2010, 5:1.
9. Lau D., Doo E., Park Y., Kleiner D., Schmid P., Kuhns M., Hoofnagle J. Lamivudine for chronic delta hepatitis. Hepatology 1999, 30:546.
10. Yurdaydin C., Bozkaya H., nder F.O., et al. Treatment of chronic delta hepatitis with lamivudine vs lamivudine + interferon vs interferon. Journal of Viral Hepatitis 2008, 15:314-321.
11. Niro G., Ciancio A., Tillman H., Lagget M., Olivero A., Perri F., Fontana R., Little N., Campbell F., Smedile A., Manns M.P., Andriulli A., Rizzetto M. Lamivudine therapy in chronic delta hepatitis: a multicentre randomized-controlled pilot study. Alimentary Pharmacology and Therapeutics 2005, 22:227.
12. Nowak M.A., Bonhoeffer S., Hill A.M., Boehme R., Thomas H.C., McDade H. Viral dynamics in hepatitis B virus infection. Proceedings of the National Academy of Science USA 1996, 93:4398.
13. Min L., Su Y., Kuang Y. Mathematical analysis of a basic virus infection model with application to HBV infection. The Rocky Mountain Journal of Mathematics 2008, 38:1573.
14. Wang K., Wang W., Song S. Dynamics of an HBV model with diffusion and delay. Journal of Theoretical Biology 2008, 253:36.
15. Ciupe S.M., Ribeiro R.M., Nelson P.W., Dusheiko G., Perelson P.Z.A.S., Man R.D. The role of cells refractory to productive infection in acute hepatitis B viral dynamics. Proceedings of the National Academy of Science 2007, 104. 5050-5050.
16. Eikenberry S., Hews S., Nagy J., Kuang Y. The dynamics of a delay model of hepatitis B virus infection with logistic hepatocyte growth. Mathematical Bioscience and Engineering 2009, 6:283.
17. Gourley S.A., Kuang Y., Nagy J.D. Dynamics of a delay differential model of hepatitis B virus. Journal of Biological Dynamics 2008, 2:140.
18. Hews S., Eikenberry S., Nagy J.D., Kuang Y. Rich dynamics of a hepatitis B viral infection model with logistic hepatocyte growth. Journal of Mathematical Biology 2010, 60:573.
19. Hwang T., Kuang Y. Deterministic extinction effect of parasites on host populations. Journal of Mathematical Biology 2003, 46:17.
20. Hwang T., Kuang Y. Host extinction dynamics in a simple parasite-host interaction model. Mathematical Bioscience and Engineering 2005, 2:743.
21. Farrell G., Teoh N. Management of chronic hepatitis B virus infection: a new era of disease control. Internal Medicine Journal 2006, 36:100.
22. Manesis E., Hadziyannis E., Angelopoulou O.P., Hadziyannis S. Prediction of treatment-related HBsAg loss in HBeAg-negative chronic hepatitis B: a clue from serum HBsAg levels. Antiviral Therapy 2007, 12:73.
23. Wolters L., Nunen A.V., Honkoop P., Vossen A., Niesters H., Zondervan P., Man R.D. Lamivudinehigh dose interferon combination therapy for chronic hepatitis B patients co-infected with the hepatitis D virus. Journal of Viral Hepatology 2000, 7. 428-428.
24. An S.M.C., Ribeiro R.M., Nelson P.W., Perelson A.S. Modeling the mechanisms of acute hepatitis B virus infection. Journal of Theoretical Biology 2007, 247:23-35.
25. Kwun H.J., Jang K.L. Natural variants of hepatitis B virus X protein have differential effects on the expression of cyclin-dependent kinase inhibitor p21 gene. Nucleic Acids Research 2004, 32:2202.
26. Wu B., Li C., Chen H., Chang J., Jeng K., Chou C., Hsu M., Tsai T. Blocking of G1/S transition and cell death in the regenerating liver of hepatitis B virus X protein transgenic mice. Biochemical and Biophysical Research Communications 2006, 340:916.
27. Dong Z., Zhang J., Sun R., Wei H., Tian Z. Impairment of liver regeneration correlates with activated hepatic NKT cells in HBV transgenic mice. Hepatology 2007, 45:1400.
28. Hodgson A.J., Keasler V.V., Slagle B.L. Premature cell cycle entry induced by hepatitis B virus regulatory HBx protein during compensatory liver regeneration. Cancer Research 2008, 68:10341-10348.
29. Beck J., Nassal M. Hepatitis B virus replication. World Journal of Gastroenterology 2007, 13:48.