Bioelectricity: A Quantitative Approach by Roger C. Barr, Robert Plonsey

By Roger C. Barr, Robert Plonsey

This can be the recent version of the vintage introductory textual content to electrophysiology. It covers many subject matters which are imperative to the sector together with houses of the mobile membrane and cardiac electrophysiology. prepared as a textbook for the scholar wanting to obtain the center capabilities, this booklet meets the calls for of complicated undergraduate or graduate coursework in biomedical engineering and biophysics. New positive factors contain additional, certain illustrations and a CD-Rom containing workouts and strategies. The booklet is authored through eminent biomedical engineering professors at Duke collage who talk about many subject matters which are principal to biophysics and bioengineering and the quantitative tools hired.

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The resistor is the physical element. For a uniform cylindrically shaped rod current can be assumed uniform across the resistor’s cross-section; hence, the resistor may be treated as one dimensional, or simply as lumped. Its resistive value can be evaluated by dividing the total voltage across the element by the current, using R = V /I. Biological materials, a major focus of this book, have resistive properties. In general these are not lumped. Biological materials are cells or organs that have significant spatial dimensions, BIOELECTRICITY: A QUANTITATIVE APPROACH 25 and often their properties change from one place to another.

Note that Rm has the units of Ohm-cm2 . 53) As for resistivity, the thickness can be merged into the conductance per unit area, Gm . The units of Gm are Siemens/cm2 . , 4aL. The units of Cm , the capacitance per unit area, most often are microfarads per cm2 . 3. Axial Properties per Unit Length Specialized structures that have axial uniformity often may be more simply described with a resistance or conductance per unit length. Considering again the small box along the x axis, one notes that the cross-sectional area does not change as a function of x.

For fibers with a circular cross-section, it would be s = 2πa, where a is the fiber radius. 57) where again s is the circumference. The units of cm are microFarads per cm. That is, knowing cm for a segment, one need only multiply by the length of the segment to get the capacitance, making it easy to adjust for segments of varying length. 12. UNITS FOR SOME ELECTRICAL QUANTITIES Here are units for some of the variables presented in this chapter. 13. NOTES 1. In thinking about the quasi-static nature of most bioelectric situations, it is helpful to focus on the rate of change.

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Bioelectricity: A Quantitative Approach by Roger C. Barr, Robert Plonsey
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