A model of isoniazid treatment of tuberculosis

Yolandy Lemmer, Anne Grobler, Clint Moody, Hendrik J Viljoen

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

A mathematical model is presented of the growth and death of bacilli in a granuloma. The granuloma is treated with isoniazid (INH), a drug that inhibits the synthesis of mycolic acids (MA). Since MA is an essential component of cell walls, the organisms fail to reach maturity if deficient in MA. Cell wall turnover is a well-known feature of bacteria, at the exterior surface material sloughs offto foil attacks by hosts or other organisms, simultaneously synthesizing products for new cell wall assembly. Thus cell wall thickness is maintained in a dynamic equilibrium (Doyle et al., 1988). Presumably cell death is a result of loss in cell wall due to autolysis in combination with stinted replenishing. The mathematical model presented here uses differential equations to predict the effects of intracellular INH on cell wall thickness and cell viability. This analysis purposely distinguishes intracellular INH concentration from the concentration in the plasma. The concentration in the plasma depends only on the dosing. The intracellular INH concentration, however, depends on diffusion through the cell walls of the bacteria. This paper addresses the complex interactions between intracellular INH, cell wall thickness, and the rate of cell wall synthesis.

Original languageEnglish (US)
Pages (from-to)367-373
Number of pages7
JournalJournal of Theoretical Biology
Volume363
DOIs
StatePublished - Dec 21 2014

Fingerprint

isoniazid
Tuberculosis
Isoniazid
Cell Wall
tuberculosis
Cells
cell walls
Mycolic Acids
granuloma
Model
Granuloma
acids
Bacteria
mathematical models
Theoretical Models
Acids
Plasma
foil
Mathematical Model
Synthesis

Keywords

  • Cell wall
  • Drug resistance
  • Efflux pumps
  • Mathematical model
  • Mycolic acid

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

Cite this

A model of isoniazid treatment of tuberculosis. / Lemmer, Yolandy; Grobler, Anne; Moody, Clint; Viljoen, Hendrik J.

In: Journal of Theoretical Biology, Vol. 363, 21.12.2014, p. 367-373.

Research output: Contribution to journalArticle

Lemmer, Yolandy ; Grobler, Anne ; Moody, Clint ; Viljoen, Hendrik J. / A model of isoniazid treatment of tuberculosis. In: Journal of Theoretical Biology. 2014 ; Vol. 363. pp. 367-373.
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