Prof. Schuss Zeev

Affiliation:School of math sciences
Kaplun building
room 329
Tel:  (972)-3-6408827
Fax: (972)-3-5472440
Personal Website:

Postal Address:School of math sciences
Tel Aviv University
Tel Aviv 69978

Research Interest

Ionic permeation in protein channels of biological membranes and applications to models of neurons and cardiac myocytes


My activity concerns construction of mathematical models of ionic permeation, selectivity, and gating in protein channels of biological membranes and their analysis. I integrate the channel and gating models in models of neurons and cardiac myocytes to analyze and predict their function under given physical, chemical, and biological conditions. My models, which have been borne out by experiment, include the increased conductivity of potassium channels under the influence of low frequency (cca 16Hz) low intensity magnetic fields (pico to micro Tesla), the lowering of cytosolic calcium in cardiac myocytes, and the shortening of the QT interval in rat and Guinea pig EKG. More theoretical work includes a theory of Brownian and Langevin simulations of permeation, formulation of evolution equations for the non-equilibrium density of interacting ions, and other related problems in statistical physics. The theoretical work is based on asymptotic methods that I developed for the analysis of stochastic differential equations. I have two Ph.D. students in applied mathematics, one in electrical engineering in TAU working on this project. I cooperate with researchers in the departments of biomedical engineering and physiology in TAU and also with applied mathematicians and neuro-physiologists in the WIS (Brain Research Center).

Selected Publications

  • B. Nadler, Z. Schuss, A. Singer, R.S. Eisenberg, "Diffusion through protein channels: from molecular description to continuum equations", Nanotech 3, pp.439-442 (2003).
  • A. Singer, Z. Schuss, ``Brownian simulations and uni-directional flux in diffusion", Phys. Rev. E 71, 026115 (2005).
  • A. Singer, Z. Schuss and R. S. Eisenberg, ``Attenuation of the Electric Potential and Field in Disordered Systems'', J. Stat. Phys. 119 (5-6), pp.1397-1418 (2005).
  • B. Nadler, Z. Schuss, and A. Singer, ``Langevin trajectories between fixed concentrations,'' Phys. Rev. Lett. 94 (21) 218101 (2005).