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Abstract #4134

Simultaneously resolve haemodynamic response function and activation response by rank-constrained optimization

Christine Law 1,2

1 Stanford University, Stanford, CA, United States, 2 Nuffield Department of Clinical Neurosciences, University of Oxford, Oxford, Oxfordshire, United Kingdom

A novel technique to concurrently resolve HRF and quantify fMRI activation response is presented. The problem formulation involves a rank 1 constraint (nonconvex), which makes it very difficult to solve. We were able to compute rank minimization by reformulating the nonconvex problem into a sequence of convex problems. We also developed an acceleration method such that computation time (global convergence) is significantly improved. We achieved over 99.9% accuracy on both HRF and stimulation response in simulations using parameters typical to fMRI studies. Our technique can benefit research involving a population having HRF that deviates from the canonical assumption.

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