# A Mathematical Model for the Macrophage Response to Respiratory Viral Infection in Normal and Asthmatic Conditions

A Mathematical Model for the Macrophage Response to Respiratory Viral Infection in Normal and... Respiratory viral infections are common in the general population and one of the most important causes of asthma aggravation and exacerbation. Despite many studies, it is not well understood how viral infections cause more severe symptoms and exacerbations in asthmatics. We develop a mathematical model of two types of macrophages that play complementary roles in fighting viral infection: classically $$(\hbox {CA}$$ ( CA - $$\hbox {M}\Phi )$$ M Φ ) and alternatively activated macrophages $$(\hbox {AA}$$ ( AA - $$\hbox {M}\Phi )$$ M Φ ) . $$\hbox {CA}$$ CA - $$\hbox {M}\Phi$$ M Φ destroy infected cells and tissues to remove viruses, while $$\hbox {AA}$$ AA - $$\hbox {M}\Phi$$ M Φ repair damaged tissues. We show that a higher viral load or longer duration of infection provokes a stronger immune response from the macrophage system. By adjusting the parameters, we model the differences in response to respiratory viral infection in normal and asthmatic subjects and show how this skews the system toward a response that generates more severe symptoms in asthmatic patients. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of Mathematical Biology Springer Journals

# A Mathematical Model for the Macrophage Response to Respiratory Viral Infection in Normal and Asthmatic Conditions

, Volume 79 (9) – Jul 24, 2017
20 pages

/lp/springer_journal/a-mathematical-model-for-the-macrophage-response-to-respiratory-viral-P4ucdTcgR0
Publisher
Springer US
Subject
Mathematics; Mathematical and Computational Biology; Life Sciences, general; Cell Biology
ISSN
0092-8240
eISSN
1522-9602
D.O.I.
10.1007/s11538-017-0315-0
Publisher site
See Article on Publisher Site

### Abstract

Respiratory viral infections are common in the general population and one of the most important causes of asthma aggravation and exacerbation. Despite many studies, it is not well understood how viral infections cause more severe symptoms and exacerbations in asthmatics. We develop a mathematical model of two types of macrophages that play complementary roles in fighting viral infection: classically $$(\hbox {CA}$$ ( CA - $$\hbox {M}\Phi )$$ M Φ ) and alternatively activated macrophages $$(\hbox {AA}$$ ( AA - $$\hbox {M}\Phi )$$ M Φ ) . $$\hbox {CA}$$ CA - $$\hbox {M}\Phi$$ M Φ destroy infected cells and tissues to remove viruses, while $$\hbox {AA}$$ AA - $$\hbox {M}\Phi$$ M Φ repair damaged tissues. We show that a higher viral load or longer duration of infection provokes a stronger immune response from the macrophage system. By adjusting the parameters, we model the differences in response to respiratory viral infection in normal and asthmatic subjects and show how this skews the system toward a response that generates more severe symptoms in asthmatic patients.

### Journal

Bulletin of Mathematical BiologySpringer Journals

Published: Jul 24, 2017

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