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The Pseudo Random Arterial Modulation (PRAM) is a non-invasive MRI based method to measure blood flow. It does not require any contrast agent but rather uses water protons in the body as the contrast. PRAM is based on a pseudo random sequence of inversions and non-inversions of the arterial blood using radio frequency (RF) pulses at a labeling plane inferior to the imaging plane. A series of images are taken at the imaging plane and flow reconstructed from the transit time measurements. PRAM does not require separate control and label acquisition as is common in Arterial Spin Labeling (ASL)...

The method of using the moduli space of pseudo-holomorphic curves on a symplectic manifold was introduced by Mikhail Gromov in 1985. From the appearance of Gromov's original paper until today this approach has been the most important tool in global symplectic geometry. To produce numerical invariants of these manifolds using this method requires constructing a fundamental cycle associated with moduli spaces. This volume brings together three approaches to constructing the ``virtual'' fundamental cycle for the moduli space of pseudo-holomorphic curves. All approaches are based on the idea...