Diffusion model for growth factors - Cell receptors interaction

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


A theoretical model describing the interaction between growth factor molecules and their receptors from the cell surface within an 'off-centre' diffusion approximation is developed in this paper. It is assumed that a number of non interacting particles (growth-factor molecules) move diffusively in the presence of traps (specific receptors) which are located at the surfaces of a number of cells uniformly distributed in space. The diffusion equations system is solved by a perturbative method. The model predicts a nonlinear dependence of the receptor occupation and of the time needed to reach a threshold value of receptor occupation on the total number of cell receptors. An autocrine binding, when the ligand is secreted by the responsive cells accounts for the interaction between IL-2 and helper T-cells.

Original languageEnglish
Pages (from-to)59-68
Number of pages10
Issue number1
StatePublished - Sep 1997


  • Autocrine binding
  • Ligand binding
  • Off-centre diffusion

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Biochemistry, Genetics and Molecular Biology (all)
  • Applied Mathematics


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