A Simple and Fast Method for Solving the Time-Dependent Bloch Equations in Spin-Locked Chemical Exchange Saturation Transfer (CESTrho) Magnetic Resonance Imaging

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achieve adopted agents agreed although appear applied approaches approximate approximately assumed available axis back believe better characteristics chemical combines comparing complex component computation computed concentration conditions considerably contrast contrasts curves dashed degree denote denotes dependent depending derived described develop developed differential dotted duration easily effective either engineering equation equations equilibrium example except exchange exchangeable expand experimental exponential extended extensive fast field fitted flipped fractional frame frequencies frequency function graduate hand illustrates illustrative increasing indicate investigating irradiation japan locked locking longitudinal magnetization magnetizations materials matrix measure mechanism medical medicine model models modifying necessary note novel numerical nutation offset often operation optimal optimization ordinary palmer physics pool population power previously probe properties proton pulse recently reduced replacing respectively rotating rotation saturation school simple simulations solid solution solutions solver solving specifically spin spins steady strength studies superscripts thermal tissue transfer transverse treated type understanding unless useful validate validated validity varying