@inbook {IOPORT.06102522, author = {Sainz de Murieta, I\~naki and Rodr{\'\i}guez-Pat\'on, Alfonso}, title = {Probabilistic reasoning with a Bayesian DNA device based on strand displacement.}, year = {2012}, booktitle = {DNA computing and molecular programming. 18th international conference, DNA 18, Aarhus, Denmark, August 14--17, 2012. Proceedings}, isbn = {978-3-642-32207-5}, pages = {110-122}, publisher = {Berlin: Springer}, doi = {10.1007/978-3-642-32208-2_9}, abstract = {Summary: We present a computing model based on the DNA strand displacement technique which performs Bayesian inference. The model will take single stranded DNA as input data, representing the presence or absence of a specific molecular signal (evidence). The program logic encodes the prior probability of a disease and the conditional probability of a signal given the disease playing with a set of different DNA complexes and their ratios. When the input and program molecules interact, they release a different pair of single stranded DNA species whose relative proportion represents the application of Bayes' Law: the conditional probability of the disease given the signal. The models presented in this paper can empower the application of probabilistic reasoning in genetic diagnosis in vitro.}, identifier = {06102522}, }