Biological Motion: Proceedings of a Workshop held in by Wolfgang Alt, Gerhard Hoffmann

By Wolfgang Alt, Gerhard Hoffmann

" . . . habit isn't really, what an organism does itself, yet to what we element. hence, even if a kind of habit of an organism is sufficient as a undeniable configuration of routine, depends upon the surroundings within which we de­ scribe it. " (Humberto Maturana, Francisco Varela: El arbol del conocimiento, 1984) "A thorough research of habit needs to bring about a scheme, that exhibits all regularities which are to be came across among the sensorical enter and the motorical output of an animal. This scheme is an summary illustration of the mind. " (Valentin Braitenberg: Gehirngespinste, 1973) throughout the 70ies, while Biomathematics (beyond Biomedical records and Com­ puting) turned extra well known at universities and study institutes, the issues handled got here often from the overall fields of 'Population Biology' and 'Complex structures research' comparable to epidemics, ecosystems research, morphogenesis, genetics, immunology and neurology (see the 1st sequence of Springer Lecture Notes in Biomathematics). due to the fact then, the image has now not significantly replaced, and it appears "a thorough research of habit" of unmarried organisms and, in addition, in their mutual interactions, is much from being understood. to the contrary, mathematical modellers and analysts were good­ instructed to limit their investigations to express facets of 'biological behavior', one in every of that is 'biological motion'. earlier, just a couple of convention court cases or Lecture Notes have paid cognizance to this significant point, a few of the prior examples being Vol. 24: 'The dimension of organic form and form alterations' (1978) or Vol.

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Additional info for Biological Motion: Proceedings of a Workshop held in Königswinter, Germany, March 16–19, 1989

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W~\ :,,~:~~; ;~~;i •.. ,::. ::~~i: Figure 7: The derivation of the skeleton the cell can be readily measured. The long axis of the skeleton is much less susceptible to small changes in cell outline than the centroid determined by the method discussed earlier. The essential feature of the above technique to determine the skeleton is based on a thinning concept in which layers are peeled of the cell outline. There are two drawbacks to this method. First, this is an iterative process whose computational time is dependent on the maximum width of the cell.

The outline can be normalised and centralised after calculating the zeroth and first order raw moments. The orientation, ¢, is given by: (13) 1 2 The value of the arctangent function should be chosen so that ¢ is the tilt angle of the long axis of the outline with respect to the x-axis and -~/2 ~ ¢ ~ ~/2. Teague (1980) gives a method of doing this which is equivalent to using the dividend and divisor as the first and second arguments for the ATAN2 function in Fortran 77. The orientation is undefined if both arguments are zero and ¢ should be set to zero for the following in this case.

These are rather pronounced differences in shape behaviour which are readily discernible and it remains to be seen whether more subtle differences in dynamic shape profiles can be detected within the subsets of fibroblast populations. Increasing evidence is being presented that extensive heterogeneity exists within fibroblast-like cell populations which otherwise are indistinguishable at the light microscope level (Hassell, Stanek, 1983; Schor, Schor, 1987; Conrad, Hart, Chen, 1977) . Thus, to be able to quantify the dynamic shape profiles of locomoting cells might aid in distinguishing subsets within a cell population.

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