2024
Unbalanced regularized optimal mass transport with applications to fluid flows in the brain
Chen X, Benveniste H, Tannenbaum A. Unbalanced regularized optimal mass transport with applications to fluid flows in the brain. Scientific Reports 2024, 14: 1111. PMID: 38212659, PMCID: PMC10784574, DOI: 10.1038/s41598-023-50874-y.Peer-Reviewed Original ResearchConceptsFluid flowMass transportEntire transport processNumerical solution procedureKinetic energyTotal kinetic energyImage trackingSolution procedureOptimal mass transportTransport processesMass transport approachTransport problemsMass configurationConstraint equationsFlowTransport approachApplicationsBenamouFormulationTransportTracking
2023
Visualizing Fluid Flows via Regularized Optimal Mass Transport with Applications to Neuroscience
Chen X, Tran A, Elkin R, Benveniste H, Tannenbaum A. Visualizing Fluid Flows via Regularized Optimal Mass Transport with Applications to Neuroscience. Journal Of Scientific Computing 2023, 97: 26. PMID: 38938875, PMCID: PMC11210720, DOI: 10.1007/s10915-023-02337-9.Peer-Reviewed Original ResearchMass transport problemFluid flowOptimal mass transport problemComputational fluid dynamicsTransport problemsFluid dynamicsMass transportPrevious numerical methodsDynamic formulationOptimal mass transportContinuity equationNumerical methodNumerical resultsDiffusion termPresent workComputational runtimeFlowEfficient implementationBrenierBenamou