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We desingularize a branch point $p$ of a minimal disk $F_0(\mathbb{D})$ in$\mathbb{R}^4$ through immersions $F_t$'s which have only transverse doublepoints and are branched covers of the plane tangent to $F_0(\mathbb{D})$ at$p$. If $F_0$ is a topological embedding and thus defines a knot in asphere/cylinder around the branch point, the data of the double points of the$F_t$'s give us a braid representation of this knot as a product of bands.

Desingularization of branch points of minimal surfaces in $\mathbb{R}^4$ (II)