Resistance in cell membrane and nerve fiber

A mathematical model describing the resistance in cell membrane and nerve fiber is proposed, which is naturally different from that for metal conductors. An allometric scaling law between the resistance and the section area is obtained. In the derivation, He Chengtian's interpolation, which has millennia history, is applied. Most famous models, such as the Hodgkin-Huxley model, FitzHugh-Nagumo models, should be, therefore, revised.

[1]  Wang Jiang,et al.  Hopf bifurcation in the Hodgkin-Huxley model exposed to ELF electrical field , 2004 .

[2]  R. FitzHugh,et al.  Computation of impulse initiation and saltatory conduction in a myelinated nerve fiber. , 1962, Biophysical journal.

[3]  Ji-Huan He,et al.  He Chengtian's inequality and its applications , 2004, Appl. Math. Comput..

[4]  Zhihua Chen.  Suppression of Vortex Shedding behind a Circular Cylinder in an Electrically Low-Conducting Fluid , 2004 .

[5]  Ji-Huan He,et al.  Effects of Size and pH on Metabolie Rate , 2003 .

[6]  Ji-Huan He,et al.  Allometric Scaling and Instability in Electrospinning , 2004 .

[7]  Jianyong Yu,et al.  Application of Vibration Technology to Polymer Electrospinning , 2004 .

[8]  Jyrki T. Kuikka,et al.  Scaling Laws in Physiology: Relationships between Size, Function, Metabolism and Life Expectancy , 2003 .

[9]  Ji-Huan He,et al.  Mysterious Pi and a Possible Link to DNA Sequencing , 2004 .

[10]  A. Huxley,et al.  The action potential in the myelinated nerve fibre of Xenopus laevis as computed on the basis of voltage clamp data , 1964, The Journal of physiology.

[11]  Qian Guo,et al.  Thermo-electro-hydrodynamic model for electrospinning process , 2004 .

[12]  A. Hodgkin,et al.  A quantitative description of membrane current and its application to conduction and excitation in nerve , 1952, The Journal of physiology.

[13]  J. Kuikka,et al.  Fractal Analysis in Medical Imaging , 2002 .

[14]  L. Cartee,et al.  Evaluation of a model of the cochlear neural membrane. II: Comparison of model and physiological measures of membrane properties measured in response to intrameatal electrical stimulation , 2000, Hearing Research.