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Multistage adsorption of diffusing macromolecules and viruses.

Tom Chou1, Maria R D'Orsogna

  • 1Department of Biomathematics, UCLA, Los Angeles, California 90095-1766, USA.

The Journal of Chemical Physics
|September 18, 2007
PubMed
Summary
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We developed a model for particle diffusion and multistage surface kinetics, crucial for processes like viral entry. Our findings reveal a new boundary condition that captures delays and can lead to transient particle replenishment near surfaces.

Area of Science:

  • Physical Chemistry
  • Biophysics
  • Surface Science

Background:

  • Multistage surface kinetics are vital in biological processes such as membrane protein insertion, cell signaling, and viral infection.
  • Viral entry, for instance, necessitates sequential receptor and coreceptor binding events on the cell surface.

Purpose of the Study:

  • To derive equations describing particle adsorption followed by multistage surface kinetics and subsequent interface transport.
  • To develop an effective integrodifferential boundary condition that incorporates memory effects from surface reactions.

Main Methods:

  • Coupling bulk phase diffusion with multistage surface kinetics.
  • Deriving a singular perturbation problem for short-ranged particle-surface interactions.
  • Analyzing the behavior of a derived memory kernel.

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Main Results:

  • An effective integrodifferential boundary condition was derived, including a memory kernel that accounts for delays from surface reactions.
  • In certain surface kinetics scenarios, the delay kernel can induce nonmonotonic, transient replenishment of bulk particle concentration near the interface.
  • The generalized approach extends previous work (Ward and Tordai, Diamant and Andelman) to include surface kinetics, revealing new behaviors.

Conclusions:

  • The derived boundary condition accurately models systems with multistage surface kinetics and diffusion.
  • The model provides insights into phenomena like viral entry and cell signaling.
  • A scheme for coupling stochastic surface reactions with deterministic bulk diffusion was proposed.