What is the link, if any, between the patterns of connections in the brain
and the behavioural effects of localized brain lesions. We explored this qu
estion in four related ways. First, we investigated the distribution of act
ivity decrements that followed simulated damage to elements of the thalamoc
ortical network, using integrative mechanisms that have recently been used
to successfully relate connection data to information on the spread of acti
vation, and to account simultaneously for a variety of lesion effects. Seco
nd, we examined the consequences of the patterns of decrement seen in the s
imulation for each type of inference that has been employed to impute funct
ion to structure on the basis of the effects of brain lesions. Every variet
y of conventional inference, including double dissociation, readily misattr
ibuted function to structure. Third, we tried to derive a more reliable fra
mework of inference for imputing function to structure, by clarifying conce
pts of function, and exploring a more formal framework, in which knowledge
of connectivity is necessary but insufficient, based on concepts capable of
mathematical specification. Fourth, we applied this framework to inference
s about function relating to a simple network that reproduces intact, lesio
ned and paradoxically restored orientating behaviour. Lesion effects could
be used to recover detailed and reliable information on which structures co
ntributed to particular functions in this simple network. Finally, we explo
red how the effects of brain lesions and this formal approach could be used
in conjunction with information from multiple neuroscience methodologies t
o develop a practical and reliable approach to inferring the functional rol
es of brain structures.