205 citations · 1.2k across the 33 of their papers we have counts for
25 papers · 1 filter
Disease from opposing forces in regulatory control
Steven A. Frank
Danger requires a strong rapid response. Speedy triggers are prone to false signals. False alarms can be costly, requiring strong negative regulators to oppose the initial triggers…
Robustness and complexity
Steven A. Frank
When a biological system robustly corrects component-level errors, the direct pressure on component performance declines. Components may become less reliable, maintain more genetic…
The fundamental equations of change in statistical ensembles and biological populations
Steven A. Frank, Frank J. Bruggeman
A recent article in Nature Physics unified key results from thermodynamics, statistics, and information theory. The unification arose from a general equation for the rate of change…
Metabolic heat in microbial conflict and cooperation
Steven A. Frank
Many microbes live in habitats below their optimum temperature. Retention of metabolic heat by aggregation or insulation would boost growth. Generation of excess metabolic heat may…
The generalized Price equation: forces that change population statistics
Steven A. Frank, William Godsoe
The Price equation partitions the change in the expected value of a population measure. The first component describes the partial change caused by altered frequencies. The second c…
Invariance in ecological pattern
Steven A. Frank, Jordi Bascompte
The abundance of different species in a community often follows the log series distribution. Other ecological patterns also have simple forms. Why does the complexity and variabili…