7,651 research outputs found
Gene regulatory networks: a coarse-grained, equation-free approach to multiscale computation
We present computer-assisted methods for analyzing stochastic models of gene
regulatory networks. The main idea that underlies this equation-free analysis
is the design and execution of appropriately-initialized short bursts of
stochastic simulations; the results of these are processed to estimate
coarse-grained quantities of interest, such as mesoscopic transport
coefficients. In particular, using a simple model of a genetic toggle switch,
we illustrate the computation of an effective free energy and of a
state-dependent effective diffusion coefficient that characterize an
unavailable effective Fokker-Planck equation. Additionally we illustrate the
linking of equation-free techniques with continuation methods for performing a
form of stochastic "bifurcation analysis"; estimation of mean switching times
in the case of a bistable switch is also implemented in this equation-free
context. The accuracy of our methods is tested by direct comparison with
long-time stochastic simulations. This type of equation-free analysis appears
to be a promising approach to computing features of the long-time,
coarse-grained behavior of certain classes of complex stochastic models of gene
regulatory networks, circumventing the need for long Monte Carlo simulations.Comment: 33 pages, submitted to The Journal of Chemical Physic
Megawatt solar power systems for lunar surface operations
The work presented here shows that a solar power system can provide power on the order of one megawatt to a lunar base with a fairly high specific power. The main drawback to using solar power is still the high mass, and therefore, cost of supplying energy storage through the solar night. The use of cryogenic reactant storage in a fuel cell system, however, greatly reduces the total system mass over conventional energy storage schemes
Stronger computational modelling of signalling pathways using both continuous and discrete-state methods
Starting from a biochemical signalling pathway model expresses in a process algebra enriched with quantitative information, we automatically derive both continuous-space and discrete-space representations suitable for numerical evaluation. We compare results obtained using approximate stochastic simulation thereby exposing a flaw in the use of the differentiation procedure producing misleading results
Sampling rare switching events in biochemical networks
Bistable biochemical switches are ubiquitous in gene regulatory networks and
signal transduction pathways. Their switching dynamics, however, are difficult
to study directly in experiments or conventional computer simulations, because
switching events are rapid, yet infrequent. We present a simulation technique
that makes it possible to predict the rate and mechanism of flipping of
biochemical switches. The method uses a series of interfaces in phase space
between the two stable steady states of the switch to generate transition
trajectories in a ratchet-like manner. We demonstrate its use by calculating
the spontaneous flipping rate of a symmetric model of a genetic switch
consisting of two mutually repressing genes. The rate constant can be obtained
orders of magnitude more efficiently than using brute-force simulations. For
this model switch, we show that the switching mechanism, and consequently the
switching rate, depends crucially on whether the binding of one regulatory
protein to the DNA excludes the binding of the other one. Our technique could
also be used to study rare events and non-equilibrium processes in soft
condensed matter systems.Comment: 9 pages, 6 figures, last page contains supplementary informatio
Individual Differences and Stability of Dynamics among Self-Concept Clarity, Impatience, and Negative Affect
Self-concept clarity (SCC) is associated with behavioral and emotion regulation, although the nature of this link is unclear. SCC may serve as a self-regulatory resource or it may be a product of well-regulated behaviors and emotions. In two studies using experience sampling among undergraduates (n = 46 and n = 36), we investigate whether models representing relationships among SCC, impatience, and negative affect (NA) states conform to these theories, are similar across individuals, and are stable across a one-month period. Results reveal substantial variation between persons in these dynamic relationships, suggesting that multiple SCC-relevant regulatory processes exist. These patterns were not stable from one month to the next, but changes in them related to changes in stress, suggesting higher-order regulation of these dynamics
Number of adaptive steps to a local fitness peak
We consider a population of genotype sequences evolving on a rugged fitness
landscape with many local fitness peaks. The population walks uphill until it
encounters a local fitness maximum. We find that the statistical properties of
the walk length depend on whether the underlying fitness distribution has a
finite mean. If the mean is finite, all the walk length cumulants grow with the
sequence length but approach a constant otherwise. Experimental implications of
our analytical results are also discussed
Analytical study of non Gaussian fluctuations in a stochastic scheme of autocatalytic reactions
A stochastic model of autocatalytic chemical reactions is studied both
numerically and analytically. The van Kampen perturbative scheme is
implemented, beyond the second order approximation, so to capture the non
Gaussianity traits as displayed by the simulations. The method is targeted to
the characterization of the third moments of the distribution of fluctuations,
originating from a system of four populations in mutual interaction. The theory
predictions agree well with the simulations, pointing to the validity of the
van Kampen expansion beyond the conventional Gaussian solution.Comment: 15 pages, 8 figures, submitted to Phys. Rev.
- …