1. Hyperleukocytosis may be the first presentation of acute myeloid leukemias and prognosticates high morbidity and mortality making immediate therapy imperative.

2. Neurologic deficits, respiratory failure with pulmonary infiltrates, fever and visual changes are frequent presentations of hyperleukocytosis due to leukocyte infiltrates or vessel occlusion. Antibiotics are warranted although the etiology may not be infectious.

3. Hyperleukocytosis can result in other oncologic emergencies such as leukostasis, tumor lysis syndrome, and/or disseminated intravascular coagulation involving multiple organ systems. Evaluation and work up should be directed by symptoms; consider evaluation for intracranial hemorrhage.

4. Differentiate between the true hyperkalemia of tumor lysis syndrome and pseudohyperkalemia of hyperleukocytosis with ECG and a heparinized plasma sample before treating.

5. Urgent cytoreduction with Hydroxyurea (Hydrea) and/or leukapheresis may need to be initiated in parallel to induction chemotherapy. If necessary, transfer to an institution that is able to provide these services immediately.

Mesh-Free FD Approximations are easy to work with and are in some sense optimal in their representations of functions locally around a single point. However, in more than one dimension, approximations based on polynomial interpolants encounter severe difficulties if the node points are not regularly placed (grid-based). Additional difficulties often arise at boundaries which (above 1-D) may be irregularly shaped, and also from mixtures of scales across a computational domain that may require spatially variable resolution. It transpires that radial basis functions (RBFs) can favorably replace (or supplement) polynomials in such situations. Their use in creating spatially local and highly effective FD-type approximations is quite recent.