The corneal endothelium maintains the cornea at the low level of hydration required for transparency and good vision. The long term goals are to understand how the corneal endothelium: 1) functions under normal physiological conditions, 2) how it is compromised by disease, and 3) how it can be better maintained in vitro to improve corneal storage techniques to make more corneas available for transplant. The corneal endothelium maintains the low level of hydration by fluid movements generated by the flow of ions. Ion channels in the cell membrane play a crucial role in the control of these ion movements. We will study the structure and function of these ion channels.
The specific aims for this project period are to: 1) use the patch clamp technique to study and compare the properties of ion channels in fresh, stored, and cultured corneal endothelial cells, under different storage, media, voltage, ionic, temperature and other conditions. 2) develop, test, and use new mathematical techniques to analyze that data, including the powerful new methods of non-linear dynamics and chaos, and 3) use models of different kinetic and molecular mechanisms that will be compared to the experimental results to uncover the molecular mechanisms responsible for the observed channel properties.

Agency
National Institute of Health (NIH)
Institute
National Eye Institute (NEI)
Type
Research Project (R01)
Project #
2R01EY006234-04
Application #
3262319
Study Section
Visual Sciences A Study Section (VISA)
Project Start
1986-07-01
Project End
1994-06-30
Budget Start
1989-07-01
Budget End
1990-06-30
Support Year
4
Fiscal Year
1989
Total Cost
Indirect Cost
Name
Columbia University (N.Y.)
Department
Type
Schools of Medicine
DUNS #
064931884
City
New York
State
NY
Country
United States
Zip Code
10027
Boxt, L M; Katz, J; Liebovitch, L S et al. (1994) Fractal analysis of pulmonary arteries: the fractal dimension is lower in pulmonary hypertension. J Thorac Imaging 9:8-13
Liebovitch, L S; Czegledy, F P (1992) A model of ion channel kinetics based on deterministic, chaotic motion in a potential with two local minima. Ann Biomed Eng 20:517-31
Liebovitch, L S; Selector, L Y; Kline, R P (1992) Statistical properties predicted by the ball and chain model of channel inactivation. Biophys J 63:1579-85
Liebovitch, L S; Toth, T I (1991) A model of ion channel kinetics using deterministic chaotic rather than stochastic processes. J Theor Biol 148:243-67
Liebovitch, L S; Toth, T I (1990) The akaike information criterion (AIC) is not a sufficient condition to determine the number of ion channel states from single channel recordings. Synapse 5:134-8
Liebovitch, L S; Toth, T I (1990) Using fractals to understand the opening and closing of ion channels. Ann Biomed Eng 18:177-94
Liebovitch, L S; Toth, T I (1990) Fractal activity in cell membrane ion channels. Ann N Y Acad Sci 591:375-91
Liebovitch, L S (1989) Testing fractal and Markov models of ion channel kinetics. Biophys J 55:373-7
Hernandez, J; Fischbarg, J; Liebovitch, L S (1989) Kinetic model of the effects of electrogenic enzymes on the membrane potential. J Theor Biol 137:113-25
Liebovitch, L S (1989) Analysis of fractal ion channel gating kinetics: kinetic rates, energy levels, and activation energies. Math Biosci 93:97-115

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