Correspondence : lymphedema following breast cancer

Lymphedema—a chronic, disabling sequela of breast cancer treatment—is finally receiving the research attention it deserves. The work published by Norman et al1 in the January issue of Journal of Clinical Oncology supports the findings of this emerging literature, which demonstrates that lymphedema is common following breast cancer treatment, but that higher estimates are observed when self-report is used to assess lymphedema status compared with other measures such as circumferences, perometry, or bio-impedance spectroscopy. While Norman et al reported that the majority of cases occur within 2 years of diagnosis, work by us2 and others3 have demonstrated that the majority of cases (70% to 80%) occur within the first 12 months after diagnosis. Collectively, this work advocates for the measurement of lymphedema being included within routine presurgical and postsurgical care. However, until we know more about the effectiveness of lymphedema treatment, clinicians may remain skeptical about active screening for lymphedema.

Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain

Multi-term time-fractional differential equations have been used for describing important physical phenomena. However, studies of the multi-term time-fractional partial differential equations with three kinds of nonhomogeneous boundary conditions are still limited. In this paper, a method of separating variables is used to solve the multi-term time-fractional diffusion-wave equation and the multi-term time-fractional diffusion equation in a finite domain. In the two equations, the time-fractional derivative is defined in the Caputo sense. We discuss and derive the analytical solutions of the two equations with three kinds of nonhomogeneous boundary conditions, namely, Dirichlet, Neumann and Robin conditions, respectively.