Literature DB >> 2522657

Stability analysis of simple models for immune cells interacting with normal pathogens and immune system retroviruses.

G Reibnegger1, D Fuchs, A Hausen, E R Werner, G Werner-Felmayer, M P Dierich, H Wachter.   

Abstract

A mathematical analysis is presented for several simple dynamical systems that might be considered as crude descriptions for the situation when an immune system retrovirus, immune cells, and normal autonomously replicating pathogens interact. By stability analysis of the steady-state solutions, the destabilizing effect of the immune system retrovirus is described. The qualitative behavior of the solutions depending on the system parameters is analyzed in terms of trajectories moving in a phase space in which the axes are defined by the population numbers of the interacting biological entities.

Mesh：

Year:  1989        PMID： 2522657      PMCID： PMC286839          DOI： 10.1073/pnas.86.6.2026

Source DB:  PubMed          Journal:  Proc Natl Acad Sci U S A        ISSN： 0027-8424            Impact factor:   11.205


  8 in total

Review 1.  Immunopathogenesis of the acquired immunodeficiency syndrome.

Authors:  D L Bowen; H C Lane; A S Fauci
Journal:  Ann Intern Med       Date:  1985-11       Impact factor: 25.391

2.  Theory of an immune system retrovirus.

Authors:  L N Cooper
Journal:  Proc Natl Acad Sci U S A       Date:  1986-12       Impact factor: 11.205

3.  The logical analysis of continuous, non-linear biochemical control networks.

Authors:  L Glass; S A Kauffman
Journal:  J Theor Biol       Date:  1973-04       Impact factor: 2.691

4.  Co-operative components, spatial localization and oscillatory cellular dynamics.

Authors:  L Glass; S A Kauffman
Journal:  J Theor Biol       Date:  1972-02       Impact factor: 2.691

5.  Generalized predator-prey oscillations in ecological and economic equilibrium.

Authors:  P A Samuelson
Journal:  Proc Natl Acad Sci U S A       Date:  1971-05       Impact factor: 11.205

6.  Who will get AIDS?

Authors:  H Wachter; D Fuchs; A Hausen; G Reibnegger; E R Werner; M P Dierich
Journal:  Lancet       Date:  1986-11-22       Impact factor: 79.321

7.  Serologic and immunologic studies in patients with AIDS in North America and Africa. The potential role of infectious agents as cofactors in human immunodeficiency virus infection.

Authors:  T C Quinn; P Piot; J B McCormick; F M Feinsod; H Taelman; B Kapita; W Stevens; A S Fauci
Journal:  JAMA       Date:  1987-05-15       Impact factor: 56.272

8.  Theoretical implications of cellular immune reactions against helper lymphocytes infected by an immune system retrovirus.

Authors:  G Reibnegger; D Fuchs; A Hausen; E R Werner; M P Dierich; H Wachter
Journal:  Proc Natl Acad Sci U S A       Date:  1987-10       Impact factor: 11.205
  8 in total

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