. The Biological bulletin. Biology; Zoology; Biology; Marine Biology. 100 J. G. AND E. BOWDAN U i brat ion. a •21 Ir r (r cos(o) - X0) Ix = r ^o ! :=0 7l 1-5 2 2 2 |y »(r cos(a) - x0) +(r sindx)) J d« dr ( 3 ) a •2n Ir r y Iy = r =0 i '-0 , 2 2 Zl [y *(rcos(«) - x0) t(rsinU)) J d« dr ( q ) Figure 3. Physical model tor equations (3) and (4). These indicate the 3-D disc source located on the ventral surface of a hypothetical oocyte measured by the probe in 2 dimensions: X, Y, Z—the three dimen- sions of space. A disc source of current is located in the X-Z plane on the ventral oocyt


. The Biological bulletin. Biology; Zoology; Biology; Marine Biology. 100 J. G. AND E. BOWDAN U i brat ion. a •21 Ir r (r cos(o) - X0) Ix = r ^o ! :=0 7l 1-5 2 2 2 |y »(r cos(a) - x0) +(r sindx)) J d« dr ( 3 ) a •2n Ir r y Iy = r =0 i '-0 , 2 2 Zl [y *(rcos(«) - x0) t(rsinU)) J d« dr ( q ) Figure 3. Physical model tor equations (3) and (4). These indicate the 3-D disc source located on the ventral surface of a hypothetical oocyte measured by the probe in 2 dimensions: X, Y, Z—the three dimen- sions of space. A disc source of current is located in the X-Z plane on the ventral oocyte surface with its center at (x, y, z) = (0, 0, 0). X is parallel to the length of the oocyte on which the disc is located. Y is normal to the disc at its center. The X and Z axes are tangential to the disc surface. The vibrating probe vibrates in two dimensions, X and Y only. The X coordinate at the point of measurement is designated x(). A dashed line outlines a right triangle in 3-space whose legs are y in the Y-dimension, (r-cos (a) - \o) in the X-dimension and (r-sin («) in the Z-dimension. a = angle, in radians, used to transform the XZ coordinates (x. 0. z) into circular coordinates (a, r). a = radius of the disc, in arbitrary units. r = the radius at a particular point on the source. I, = 1 j<A/(area unit): for r < a. the current density through the disk at a particular radius, r. metrics such as those suggested by departures from the more complex model II cannot be demonstrated. Equa- tion (2) is limited to relatively small discs on a cell surface because distortions of a disc, due to, for example, cell curvature, will lead to substantial departures of the pre- dicted curve from ideal behavior. Since the theoretical curve (2) has only two parameters dictating its form, it is difficult to ascribe departures in the shape of the curve to a particular departure of a disc from its ideal form. Equations (3) and (4) describing model II are more ro- bust in th


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Keywords: ., bookauthorlilliefrankrat, booksubjectbiology, booksubjectzoology