Computer simulation applied to radiation therapy in cancer research

Immune system-tumour efficiency ratio as a new oncological index for radiotherapy treatment optimization

“…Thus, we also assume that when a radiation dose is applied at a given instant T n , it induces a fraction B t of the tumour cells to lose their reproductive endowment and to die exponentially. The fraction S t of tumour cells not affected by radiation can be computed by the linear-quadratic (LQ) model [4,10],…”

Dynamic modeling of cellular response to DNA damage based on p53 stress response networks

“…The combined approaches of system analysis, control theory, and computer science can simulate the complicated mechanisms of cellular response to genome stresses [15,16]. These methods provide a good link between the diverse areas of biomedicine, mathematics, and bioinformatics [16,17].…”

“…The combined approaches of system analysis, control theory, and computer science can simulate the complicated mechanisms of cellular response to genome stresses [15,16]. These methods provide a good link between the diverse areas of biomedicine, mathematics, and bioinformatics [16,17]. Using differential equations and graphic approaches to study various dynamical and kinetic processes of biological systems has provided insights into a series of important biological topics such as enzyme-catalyzed reactions [18][19][20][21], diffusion-controlled reactions in enzyme systems [22,23], protein-folding kinetics [24], inhibition kinetics of processive nucleic acid polymerases and nucleases [25,26], base frequencies in the anti-sense strands [27], hepatitis B viral infections [28], HBV virus gene missense mutation [29], and visual analysis of SARS-CoV [30,31].…”

Tumor irrigation model for virotherapy cancer treatment

“…Mathematical models for cancer treatment have contributed to the development of therapy protocols, tumor growth predictions and planning of cancer therapy [9] [10] [11] [12] [13], especially for radiation treatment [14] [15] Ricardo Dunia and Thomas F. Edgar are with the Chemical Engineering Department at the University of Texas at Austin, Austin, TX 78712, USA rdunia@che.utexas.edu and tfedgar@che.utexas.edu [16] and chemotherapy [17] [18]. Two tumor dynamic models have been recently developed to study the effectiveness of virotherapy in conjunction with immune suppression treatment.…”