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Biology subjects

Schneider, T. D.

Publications and source records attributed to Schneider, T. D..

3 recordsLinked to original sources

Generalizing the isothermal efficiency by using Gaussian distributions

Unlike the Carnot heat engine efficiency published in 1824, an isothermal efficiency derived from thermodynamics and information theory can be applied to biological systems. The original approach by Pierce and Cutler in 1959 to derive the isothermal efficiency equation came from Shannons channel capacity of 1949 and from Felkers 1952 determination of the minimum energy dissipation needed to gain a bit. In 1991 and 2010 Schneider showed how the isothermal efficiency equation can be applied to molecular machines and that this can be used to explain why several molecular machines are 70% efficient. Surprisingly, some macroscopic biological systems, such as whole ecosystems, are also 70% efficient but it is hard to see how this could be explained by a thermodynamic and molecular theory. The thesis of this paper is that the isothermal efficiency can be derived without using thermodynamics by starting from a set of independent Gaussian distributions. This novel derivation generalizes the isothermal efficiency equation for use at all levels of biology, from molecules to ecosystems.

bioinformatics↗

Escherichia coli σ38 promoters use two UP elements instead of a -35 element: resolution of a paradoxand discovery that σ38 transcribes ribosomal promoters

1In E. coli, one RNA polymerase (RNAP) transcribes all RNA species, and different regulons are transcribed by employing different sigma ({sigma}) factors. RNAP containing{sigma} 38 ({sigma}S) activates genes responding to stress conditions such as stationary phase. The structure of{sigma} 38 promoters has been controversial for more than two decades. To construct a model of{sigma} 38 promoters using information theory, we aligned proven transcriptional start sites to maximize the sequence information, in bits, and identified a -10 element similar to{sigma} 70 promoters. We could not align any -35 sequence logo; instead we found two patterns upstream of the -35 region. These patterns have dyad symmetry sequences and correspond to the location of UP elements in ribosomal RNA (rRNA) promoters. Additionally the UP element dyad symmetry suggests that the two polymerase subunits, which bind to the UPs, should have two-fold dyad axis of symmetry on the polymerase and this is indeed observed in an X-ray crystal structure. Curiously the CTDs should compete for overlapping UP elements. In vitro experiments confirm that{sigma} 38 recognizes the rrnB P1 promoter, requires a -10, UP elements and no -35. This clarifies the long-standing paradox of how{sigma} 38 promoters differ from those of{sigma} 70.

molecular biology↗

Restriction enzymes use a 24 dimensional coding space to recognize 6 base long DNA sequences

Restriction enzymes recognize and bind to specific sequences on invading bacteriophage DNA. Like a key in a lock, these proteins require many contacts to specify the correct DNA sequence. Using information theory we develop an equation that defines the number of independent contacts, which is the dimensionality of the binding. We show that EcoRI, which binds to the sequence GAATTC, functions in 24 dimensions. Information theory represents messages as spheres in high dimensional spaces. Better sphere packing leads to better communications systems. The densest known packing of hyperspheres occurs on the Leech lattice in 24 dimensions. We suggest that the single protein EcoRI molecule employs a Leech lattice in its operation. Optimizing density of sphere packing explains why 6 base restriction enzymes are so common.

bioinformatics↗