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A new cell-area equidistribution method for two-dimensional grid adaptation, based on Monge Kantorovich optimization (or Monge Kantorovich optimal transport), is presented.
As the transport Vmax of RFC is markedly reduced under acidic pH, whereas PCFT displays optimal transport activity, PCFT is considered to be the most efficient antifolate influx transporter in solid tumors.
Despite its ability to solve an array of problems, the slime mold was designed by evolution to solve just one problem: how to build an optimal transport network (for its nutrients).
Such a distance arises from optimal transport theory.
Later, Xia [9] used this semimetric distance to study the optimal transport path between probability measures.
The minimizers for this problem are called optimal transport plans between (mu ) and (nu ).
For the theory of optimal transport on manifolds, we refer to [73].
In both cases we show existence and uniqueness of an optimal transport map.
Lott, C. Villani, Ricci curvature for metric-measure spaces via optimal transport, Ann. of Math.
Note that this also gives uniqueness of the optimal transport plan and of the gradient of the Kantorovich potential.
Let T be the optimal transport from (mu ) to (varrho ) and S the optimal one from (varrho ) to (nu ).
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