Corrective note by the author to the interpretation of modelling result
The central idea is: there is a trade-off between local networks, which have a high information flow because its connections are short, and on the other hand global networks, which have high "information resistance" due to the long connections. This idea is in the end not worked out, because it would need some sort of minimum or optimum determination.
Equation (6) expresses the notion of an over-all information resistance of the cerebral connections, from the sum of the inverse resistance terms. Second, the notion that resistance is a function of the length of the connections. It follows that an over-all information conductance can be ascribed as a property of the cerebrum, 1/RI,total. Since information generation is a property of the cortical surface area, the equation can be substituted into Eqn (7), which then gives the total cortical surface to a given cerebral volume.
This is in principle a nice description of the cortical surface to volume relation as expressed in information conductance, but it does not explain why the local thickness measure tlocal (i.e., for the sulcal thickness) should be independent of brain size, as indeed it appears to be. Consequently, the title is incorrect: although it is an interesting point to try and describe the cerebral volume in terms of information conductivity, the present work does not provide evidence that the flow of information is a central determinant of the relation between surface area and volume of the mammalian cerebrum.
Marc de Lussanet