On the number of biologically valid logics

Biological logics are restricted

    The fraction of logics that are biologically permitted can be bounded and shown to be tiny, which makes inferring them from experiments easier.

    On the number of biologically valid logics

    It is clear that conventional statistical inference protocols need to be revised to deal correctly with the high-dimensional data that are now common. Most recent studies aimed at achieving this revision rely on powerful approximation techniques that call for rigorous results against which they can be tested. In this context, the simplest case of high-dimensional linear regression has acquired significant new relevance and attention. In this paper we use the statistical physics perspective on inference to derive several exact results for linear regression in the high-dimensional regime.

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      Sub. to Physical Review Letters

      In life, there are few rules

      The bipartite nature of genetic regulatory networks means their logics are composed, which severely restricts which ones can show up in life.

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      Interface Focus

      Form and function in gene networks

      The structural properties of a network motif predict its functional versatility and relate to gene regulatory networks.