Statistical foundations
[Jean's website]
Daunizeau, J., Adam, V., & Rigoux, L. (2014). VBA: A Probabilistic Treatment of Nonlinear Models for Neurobiological and Behavioural Data. PLoS Comput Biol, 10(1), e1003441.
Rigoux, L., Stephan, K. E., Friston, K. J., & Daunizeau, J. (2014). Bayesian model selection for group studies - revisited. NeuroImage, 84, 971–985.
Daunizeau, J., Preuschoff, K., Friston, K., & Stephan, K. (2011). Optimizing Experimental Design for Comparing Models of Brain Function. PLoS Computational Biology, 7(11).
Daunizeau, J., Friston, K. J., & Kiebel, S. J. (2009). Variational Bayesian identification and prediction of stochastic nonlinear dynamic causal models. Physica D. Nonlinear Phenomena, 238(21), 2089–2118.
Stephan, K. E., Penny, W. D., Daunizeau, J., Moran, R. J., & Friston, K. J. (2009). Bayesian model selection for group studies. NeuroImage, 46(4), 1004–1017.
Friston, K., Mattout, J., Trujillo-Barreto, N., Ashburner, J., & Penny, W. (2007). Variational free energy and the Laplace approximation. NeuroImage, 34(1), 220–234.
Papers using (and citing) VBA
There are now too many papers that use and cite VBA for us to keep a list up to date here.
However, you can have a look at VBA citations in Google Scholar :)