CME 106: Review Probability theory

Workbook CME 106 Introduction to Probability and Statistics for Engineers First

Analysis of Noise Induced Stochastic Fluctuations in Gene Regulatory Networks

Stochasticity is well recognized to be of crucial importance in the analysis of gene regulatory problems. This importance stems from the fact that extremely rare but important regulatory molecules often cause a great amount of intrinsic noise within a cell. Such systems are frequently modeled at the mesoscopic level as jump Markov processes, whose probability distributions evolve according to t...

Noise-induced multistability in chemical systems: Discrete versus continuum modeling.

The noisy dynamics of chemical systems is commonly studied using either the chemical master equation (CME) or the chemical Fokker-Planck equation (CFPE). The latter is a continuum approximation of the discrete CME approach. It has recently been shown that for a particular system, the CFPE captures noise-induced multistability predicted by the CME. This phenomenon involves the CME's marginal pro...

A finite state projection algorithm for the stationary solution of the chemical master equation.

The chemical master equation (CME) is frequently used in systems biology to quantify the effects of stochastic fluctuations that arise due to biomolecular species with low copy numbers. The CME is a system of ordinary differential equations that describes the evolution of probability density for each population vector in the state-space of the stochastic reaction dynamics. For many examples of ...

Continuing medical education for pathologists: an evaluation of the Royal College of Pathologists' Wessex pilot scheme.

AIM To discover the attitudes to continuing medical education (CME) of the Wessex pathologists who participated in the Wessex CME pilot scheme and to identify their preferences and difficulties in pursuing CME activities. METHOD The views of pathologists in the scheme were collected during a period of one year using workshops and discussions. A confidential, anonymous postal questionnaire bas...