This paper gives a brief introduction to Markov Chain Monte Carlo methods, which offer a general framework for calculating difficult in-tegrals. We start with the basic theory of Markov chains and build up to a theorem that characterizes convergent chains. We then discuss the Metropolis-Hastings algorithm.
We also acknowledge the technical insight on cellular phone networks provided by Mung Chiang and Tian Lin in the Electrical Engineering Department at Princeton University. In addition, we thank the National Statistics Office in Malawi for assistance with data as well as the helpful staff at Zain and TNM, Malawi. The views expressed herein are those of the… (More)
The glycoprotein fibronectin is a key component of the extracellular matrix. By interacting with numerous matrix and cell surface proteins, fibronectin plays important roles in cell adhesion, migration and intracellular signaling. Up-regulation of fibronectin occurs in tissue fibrosis, and previous studies have identified the pro-fibrotic factor TGFβ as an… (More)