Low viral persistence of an immunological model
Hepatitis B virus can persist at very low levels in the body in the face of host immunity, and reactive during immunosuppression and sustain the immunological memory to lead to the possible state of 'infection immunity'. To analyze this phenomena quantitatively, a mathematical model which...
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| Format: | Article |
| Language: | English |
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AIMS Press
2012-09-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2012.9.809 |
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| _version_ | 1832590206260215808 |
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| author | Suqi Ma |
| author_facet | Suqi Ma |
| author_sort | Suqi Ma |
| collection | DOAJ |
| description | Hepatitis B virus can persist at very low levels in the body in the face of host immunity, and reactive during immunosuppression and sustain the immunological memory to lead to the possible state of 'infection immunity'. To analyze this phenomena quantitatively, a mathematical model which is described by DDEs with relative to cytotoxic T lymphocyte (CTL) response to Hepatitis B virus is used. Using the knowledge of DDEs and the numerical bifurcation analysis techniques, the dynamical behavior of Hopf bifurcation which may lead to the periodic oscillation of populationsis analyzed. Domains of low level viral persistence which is possible, either as a stable equilibrium or a stable oscillatory pattern, are identified in parameter space. The virus replication rate appears to have influence to the amplitude of the persisting oscillatorypopulation densities. |
| format | Article |
| id | doaj-art-a8fd76a9f8574895903c0a553132eeaf |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2012-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-a8fd76a9f8574895903c0a553132eeaf2025-01-24T02:07:06ZengAIMS PressMathematical Biosciences and Engineering1551-00182012-09-019480981710.3934/mbe.2012.9.809Low viral persistence of an immunological modelSuqi Ma0Department of Mathematics, China Agricultural University, Beijing 100083Hepatitis B virus can persist at very low levels in the body in the face of host immunity, and reactive during immunosuppression and sustain the immunological memory to lead to the possible state of 'infection immunity'. To analyze this phenomena quantitatively, a mathematical model which is described by DDEs with relative to cytotoxic T lymphocyte (CTL) response to Hepatitis B virus is used. Using the knowledge of DDEs and the numerical bifurcation analysis techniques, the dynamical behavior of Hopf bifurcation which may lead to the periodic oscillation of populationsis analyzed. Domains of low level viral persistence which is possible, either as a stable equilibrium or a stable oscillatory pattern, are identified in parameter space. The virus replication rate appears to have influence to the amplitude of the persisting oscillatorypopulation densities.https://www.aimspress.com/article/doi/10.3934/mbe.2012.9.809model of hbv infectiondelaybifurcation.viral persistence |
| spellingShingle | Suqi Ma Low viral persistence of an immunological model Mathematical Biosciences and Engineering model of hbv infection delay bifurcation. viral persistence |
| title | Low viral persistence of an immunological model |
| title_full | Low viral persistence of an immunological model |
| title_fullStr | Low viral persistence of an immunological model |
| title_full_unstemmed | Low viral persistence of an immunological model |
| title_short | Low viral persistence of an immunological model |
| title_sort | low viral persistence of an immunological model |
| topic | model of hbv infection delay bifurcation. viral persistence |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2012.9.809 |
| work_keys_str_mv | AT suqima lowviralpersistenceofanimmunologicalmodel |