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A Model for SARS-CoV-2 Infection with Treatment
Amar Nath Chatterjee1, Fahad Al Basir2
1Department of Mathematics, K.L.S. College, Nawada, Magadh University, Bodh Gaya, Bihar 805110, India.
Computational and Mathematical Methods in Medicine
|September 10, 2020
Summary
This study models how CTL responses and immunostimulant drugs like pidotimod can control SARS-CoV-2 infection. Proper drug dosing intervals and dosage are crucial for eradicating the virus.
Area of Science:
- Virology
- Immunology
- Mathematical Biology
- Pharmacology
Background:
- The emergence of SARS-CoV-2 poses a global threat.
- SARS-CoV-2 spike protein interaction with ACE2 receptor is key to transmission.
- Understanding viral dynamics and host response is critical for control.
Purpose of the Study:
- To analyze the impact of CTL responses on viral mutation during infection.
- To investigate the efficacy of pidotimod in controlling SARS-CoV-2 infection.
- To determine optimal drug administration strategies for viral eradication.
Main Methods:
- Development and analysis of a mathematical model for viral infection dynamics.
- Inclusion of impulse effects representing drug administration.
- Utilizing the basic reproduction number to assess infection control.
Main Results:
- The model demonstrates the interplay between CTL responses, viral mutation, and drug treatment.
- Analysis of system dynamics with and without impulsive drug administration.
- Identified that both drug dosage and administration interval are critical factors.
Conclusions:
- CTL responses play a significant role in managing SARS-CoV-2 infection.
- Pidotimod, when administered at appropriate intervals and doses, can aid in viral eradication.
- Mathematical modeling provides insights into optimizing treatment strategies for infectious diseases.

