41 citations · 67 across the 11 of their papers we have counts for
11 papers
Tsallis entropy approach to radiotherapy treatments
O. Sotolongo-Grau, Daniel Rodriguez-Perez, Oscar Sotolongo-Costa +1
The biological effect of one single radiation dose on a living tissue has been described by several radiobiological models. However, the fractionated radiotherapy requires to accou…
Non-extensive radiobiology
Oscar Sotolongo-Grau, Daniel Rodríguez-Pérez, José Carlos Antoranz +1
The expression of survival factors for radiation damaged cells is based on probabilistic assumptions and experimentally fitted for each tumor, radiation and conditions. Here we sho…
Generalized calculus in radiobiology: Physical implications
O. Sotolongo-Grau, D. Rodriguez-Perez, J. C. Antoranz +1
Non-extensive statistical physics has allowed to generalize mathematical functions such as exponential and logarithms. The same framework is used to generalize sum and product so t…
A mathematical aid decision tool for RT planning
O. Sotolongo-Grau, D. Rodriguez-Perez, J. A. Santos-Miranda +3
It is possible to find the optimized radiation dose per session for a radiotherapy (RT) treatment, using a population dynamics model. This has already been done in a previous work…
Immune System -- Tumor Efficiency Rate as a new Oncological Index for Radiotherapy Treatment Optimization
O. Sotolongo-Grau, D. Rodriguez-Perez, J. A. Santos-Miranda +2
A dynamical system model for tumor -- immune system interaction together with a method to mimic radiation therapy are proposed. A large population of virtual patients is simulated…
Tumors under periodic therapy -- Role of the immune response time delay
D. Rodriguez-Perez, Oscar Sotolongo-Grau, Ramon Espinosa Riquelme +3
We model the interaction between the immune system and tumor cells including a time delay to simulate the time needed by the latter to develop a chemical and cell mediated response…