∂w ∂r

Nonhomogeneous heat (diffusion) equation with axial symmetry. 1.5-1. Solutions of boundary value problems in terms of the Green’s function. We consider boundary value problems for the nonhomogeneous heat equation with axial symmetry in domain 0 ≤ r ≤ R with the general initial condition w = f (r) at t = 0 and various homogeneous boundary conditions (the solutions bounded at r = 0 are sought). The solution can be represented in terms of the Green’s function as w(x, t) = ∫ R 0 f (ξ)G(r, ξ, t) dξ + ∫ t 0 ∫ R 0 Φ(ξ, τ)G(r, ξ, t − τ) dξ dτ. 1.5-2. Domain: 0 ≤ r ≤ R. First boundary value problem for the heat equation. A boundary condition is prescribed: w = 0 at r = R. Green’s function: G(r, ξ, t) = n=

Pamidronate Rescue Therapy for Hypercalcemia in a Child With Williams Syndrome

A 15-month-old male infant diagnosed with Williams Syndrome (WS) was admitted with severe hypercalcemia and nephrocalcinosis. Intravenous hydration and furosemide failed to yield an appreciable and sustainable fall in serum calcium, while the injection of pamidronate achieved a significant decrease in serum calcium in a short period of time. This bisphosphonate could be considered as a second-line treatment for refractory hypercalcemia in WS