scholarly journals 117 THE INOSINIC BRANCH POINT AND ITS HORMONAL REGULATION. EVALUATION THROUGH A MATHEMATICAL MODEL

1988 ◽  
Vol 24 (1) ◽  
pp. 130-130
Author(s):  
Maria Pizzichini ◽  
Anna Di Stefano ◽  
Germano Resconi ◽  
Enrico Marinello
2019 ◽  
Vol 23 (1) ◽  
pp. 79-103 ◽  
Author(s):  
A. A. Savinkova ◽  
R. S. Savinkov ◽  
B. A. Bakhmetyev ◽  
G. A. Bocharov

Aims: The problem of effective treatment of HIV-infected patients is an important task of clinical virology and immunology due to the high cost of drugs, the presence of side effects and the need for strict adherence to the schedule of drug intake for patients. Therefore, the urgent task is to develop new approaches to optimize the use of antiretroviral therapy to reduce the cost of treatment and to improve the quality of life for patients. The tasks are addressed to test the hypothesis that the system of therapeutic interruptions in the treatment of HIV infection can give better results (both the duration and comfort of the patient’s life, and the need for fewer drugs) compared with regular medication in standard doses. Methods: In this work, an extended version of the mathematical model of the immune response in HIV infection (proposed in Hadjiandreou et al., 2009) was constructed to take into account the hormonal regulation of the immune response and the impact of antiretroviral drugs on the course of the disease, the calibration of the parameters of the resulting model to match the actual trends of the disease and the search for an optimal treatment strategy. The model is formulated as a system of ordinary differential equations. The therapy optimization is modeled following the structured treatment interruptionapproach using the methods of simulated annealing and the simplex method. The mathematical model and optimization methods are implemented in C ++. Results: It has been shown that in treating HIV-infected patients, it is possible to significantly (up to 3 times) reduce the total amount of required medications simultaneously with an increase in the duration of the period with a high quality of life (due to reducing the intensity of side effects) during antiretroviral therapy. Conclusion: The use of mathematical models and optimization methods opens up the possibility for the implementation of personalized approaches to the treatment of HIV infection, taking into account the side effects, the hormonal status of patients and the cost of drugs.


Symmetry ◽  
2019 ◽  
Vol 11 (12) ◽  
pp. 1466
Author(s):  
Claudiu N. Lungu ◽  
Ireneusz P. Grudzinski

Today, gene transfer using polymers as transfer vectors is hardly studied. Some polymers have an excellent gene-carrying ability, but their cytotoxic and biocompatibility properties are not suitable for use. Thus, increased insight into the drug space of such structures is needed in the screening for suitable molecules. This study aimed to introduce a mathematical model of polymers suitable for genes transfer. In this regard, Riemann surfaces were used. The concerned polymers were taken from secondary published experimental data. The results show that symmetric Reimann spaces are suitable for further drug screening. The branch point values of Riemann surfaces are especially increased for the polymers suitable in gene transfer.


1985 ◽  
Vol 19 (7) ◽  
pp. 770-770
Author(s):  
Maria Pizzichini ◽  
Anna Di Stefano ◽  
Giuseppe Pompucci ◽  
Enrico Marinello

2008 ◽  
Author(s):  
Ishii Akira ◽  
Yoshida Narihiko ◽  
Hayashi Takafumi ◽  
Umemura Sanae ◽  
Nakagawa Takeshi
Keyword(s):  

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