Theranostics is the emerging field of medicine that uniquely combines diagnostic techniques and active agents to diagnose and treat medical conditions simultaneously or sequentially. Finding a theranostic agent capable to cure the affected cells and being safe for the healthy ones is the key for successful treatment. Here, we demonstrate that agglomerated single-walled carbon nanotubes (SWCNTs) are promising theranostic agent that enables photo-activated ‘cold’ destruction of the cancer cells keeping their environment alive. The absorption of picosecond pulses by SWCNT agglomerates results in the mechanical (due to photoacoustic effect) rather than photothermal cancer cell destruction, which was visualized by micro-Raman and ultrafast near-infrared CARS. The developed theoretical model allows us to distinguish photothermal, photoacoustic, and photothermoacoustic regimes of the cancer cell destruction, and also to optimize SWCNT-based theranostics recipe.

In a multidimensional domain, we consider a partial differential equation with fractional space and time derivatives. For the first initial-boundary value problem, we consider a purely implicit scheme based on the approximate factorization method. We prove the stability of the implicit scheme for the considered class of problems.

The paper under consideration is actually an attempt to theoretically prove the possibility of creation of a sequential nanolithography method with ultimate parameters by using liquid nanojets from reactive elements in order to put the nanotechnology methods on a solid commercial basis. Detection of secondary radiation forming on the contact place of jet and target enables to use the device as scanning microscope.