The Bulletin of Mathematical Biophysics. University of Chicago. 9” x 6”. Original wrappers. Long series of individual issues of the Bulletin, in original wrappers. The BMB was the only journal of its kind in the world at that time, and ‘‘the most important and active center in the US for mathematical biology” according to Warren Weaver (Tara Abraham, “Nicolas Rashevsky’s Mathematical Biophysics”, Journal of the History of Biology 37: 333–385, 2004).
Provenance: all of these issues have one thing in common in terms of condition—they are all from the Committee on Mathematical Biology Library at the University of Chicago—unfortunately someone used black magic marker to strike a line through each of the threelined library stamp on the cover of each issue. The rubber stamp is 90% covered, though on close inspection you can clearly see the owner of origin. The Committee was headed by Nicholas Rashevsky, and was responsible for publishing the BMB.
Rashevsky was “...a Russian [Ukrainian] émigré theoretical physicist who developed a program in “mathematical biophysics” at the University of Chicago during the 1930s. Stressing the complexity of many biological phenomena, Rashevsky argued that the methods of theoretical physics – namely mathematics – were needed to “simplify” complex biological processes such as cell division and nerve conduction. A maverick of sorts, Rashevsky was a conspicuous figure in the biological community during the 1930s and early 1940s...”
Rapoport, A. “Nets with Distance Bias”, pp 8593. WITH: “Connectivity of Random Nets” (with Ray Solomonoff) [cited 473 times]. Pp 107119. $125 This issue has no stamps from U Chicago June, 1951; 13/2.

A distance bias is imposed on the probability of direct connection between every pair of points in a random net. The probability that there exists a path from a given point in the net to another point is now a function of both the axone density and the distance between the points. A recursion formula is derived in terms of which this probability can be computed.

The rate of spread of an epidemic where probability of contact depends on the distance between the individuals can also be computed from the recursion formula.
Rapoport, Anatole. “Spread of Information through a Population SocioStructural Bias I & II”, pp 323557. December 1953, 15/4. $125

“A previously derived iteration formula for a random net was applied to some data on the spread of information through a population. It was found that if the axon density (the only free parameter in the formula) is determined by the first pair of experimental values, the predicted spread is much more rapid than the observed one. If the successive values of the “apparent axon density” are calculated from the successive experimental values, it is noticed that this quantity at first suffers a sharp drop from an initial high value to its lowest value and then gradually “recovers”.

An attempt is made to account for this behavior of the apparent axon density in terms of the “assumption of transitivity”, based on a certain sociostructural bias, namely, that the likely contacts of two individuals who themselves have been in contact are expected to be strongly overlapping. The assumption of transitivity leads to a drop in the apparent axon density from an arbitrary initial value to the vicinity of unity (if the actual axon density is not too small). However, the “recovery” is not accounted for, and thus the predicted spread turns out to be slower than the observed.”Abstract [Cited 443 times.]