The single, non-trivial ( <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0011635.e005.PNG" class= inline-graphic"/> ) equilibrium is unstable in this model.
The whole microscopic setup is driven by Metamorph software (Molecular devices) and temperature control as well as <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0013190.e021.PNG" class= inline-graphic"/> equilibrium is insured using the Cube from Life Imaging Service.
The occupation probabilities θif and θju for each of the sites are given by <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0001029.e002.PNG" class= inline-graphic"/> In equilibrium, the chemical potentials of molecules with different number of occupied binding sites are the same and equal to the chemical potential of procollagen with no bound HSP47.
The cell orientation at long time is determined by evaluating <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0018183.e003.PNG" class= inline-graphic"/> at the equilibrium state (i.e. <img src="http://journals.plos.org/plosone/article/asset?id=info:doi/10.1371/journal.pone.0018183.e004.PNG" class="inline-graphic"/> ).
The solution to Equation 1, for which <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0006421.e012.PNG" class= inline-graphic"/>, is the equilibrium density (i.e., when the density stops changing) and depends only on the parameters controlling motion and the amplitude of the random fluctuations.
<img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0012807.e009.PNG" class= inline-graphic"/> DREAM4 also provided equilibrium values for multifactorial (MF) perturbations.
As the degree of enhancement, <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0012347.e039.PNG" class= inline-graphic"/>, is increased, the equilibrium is replaced by synchronized oscillations.
Marginal fertilities GnF for females are <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0000785.e003.PNG" class= inline-graphic"/> evaluated at the stable equilibrium (see Appendix S1); GnM for males is defined analogously.
Indeed, we can consider the following equation: <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0004036.e004.PNG" class= inline-graphic"/> where P is the equilibrium number of activated phagocytes, and γ (day−1) is the maximal killing rate of bacteria by activated phagocytes.
This paper proposes a unified and entirely geometrical methodology for generating 2D and 3D force diagrams for given planar and spatial trusses in static equilibrium within the context of graphic statics.
<img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0012807.e010.PNG" class= inline-graphic"/> Note that DREAM4 provided only equilibrium values for the knockout, knockdown and multifactorial datasets.
