Modeling the Dynamics and Migratory Pathways of Virus-Specific Antibody-Secreting Cell Populations in Primary Influenza Infection

The B cell response to influenza infection of the respiratory tract contributes to viral clearance and establishes profound resistance to reinfection by related viruses. Numerous studies have measured virus-specific antibody-secreting cell (ASC) frequencies in different anatomical compartments after influenza infection and provided a general picture of the kinetics of ASC formation and dispersion. However, the dynamics of ASC populations are difficult to determine experimentally and have received little attention. Here, we applied mathematical modeling to investigate the dynamics of ASC growth, death, and migration over the 2-week period following primary influenza infection in mice. Experimental data for model fitting came from high frequency measurements of virus-specific IgM, IgG, and IgA ASCs in the mediastinal lymph node (MLN), spleen, and lung. Model construction was based on a set of assumptions about ASC gain and loss from the sampled sites, and also on the directionality of ASC trafficking pathways. Most notably, modeling results suggest that differences in ASC fate and trafficking patterns reflect the site of formation and the expressed antibody class. Essentially all early IgA ASCs in the MLN migrated to spleen or lung, whereas cell death was likely the major reason for IgM and IgG ASC loss from the MLN. In contrast, the spleen contributed most of the IgM and IgG ASCs that migrated to the lung, but essentially none of the IgA ASCs. This finding points to a critical role for regional lymph nodes such as the MLN in the rapid generation of IgA ASCs that seed the lung. Results for the MLN also suggest that ASC death is a significant early feature of the B cell response. Overall, our analysis is consistent with accepted concepts in many regards, but it also indicates novel features of the B cell response to influenza that warrant further investigation.

[1]  K. Legge,et al.  Pulmonary Infection with Influenza A Virus Induces Site-Specific Germinal Center and T Follicular Helper Cell Responses , 2012, PloS one.

[2]  J. Bienenstock,et al.  Evidence for a common mucosal immunologic system. I. Migration of B immunoblasts into intestinal, respiratory, and genital tissues. , 1979, Journal of immunology.

[3]  S. Nutt,et al.  Bach2: plasma‐cell differentiation takes a break , 2010, The EMBO journal.

[4]  A. Perelson,et al.  Rapid turnover of plasma virions and CD4 lymphocytes in HIV-1 infection , 1995, Nature.

[5]  Yves Lecourtier,et al.  Unidentifiable compartmental models: what to do? , 1981 .

[6]  Martin A. Nowak,et al.  Compromised Influenza Virus-Specific CD8+-T-Cell Memory in CD4+-T-Cell-Deficient Mice , 2002, Journal of Virology.

[7]  Hulin Wu,et al.  Evaluation of Multitype Mathematical Models for CFSE-Labeling Experiment Data , 2012, Bulletin of mathematical biology.

[8]  T. Iwasaki,et al.  Antibody-forming cells in the nasal-associated lymphoid tissue during primary influenza virus infection. , 1998, The Journal of general virology.

[9]  N. Baumgarth,et al.  B‐cell fate decisions following influenza virus infection , 2010, European journal of immunology.

[10]  G. Belz,et al.  Distinct migrating and nonmigrating dendritic cell populations are involved in MHC class I-restricted antigen presentation after lung infection with virus. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[11]  N. Baumgarth,et al.  Protective B Cell Responses to Flu—No Fluke! , 2011, The Journal of Immunology.

[12]  Hulin Wu,et al.  ESTIMATION OF CONSTANT AND TIME-VARYING DYNAMIC PARAMETERS OF HIV INFECTION IN A NONLINEAR DIFFERENTIAL EQUATION MODEL. , 2010, The annals of applied statistics.

[13]  Scott N. Mueller,et al.  Cutting Edge: Prolonged Antigen Presentation after Herpes Simplex Virus-1 Skin Infection1 , 2004, The Journal of Immunology.

[14]  E. Kunkel,et al.  Plasma-cell homing , 2003, Nature Reviews Immunology.

[15]  Michael R. Elliott,et al.  Clearance of apoptotic cells: implications in health and disease , 2010, The Journal of cell biology.

[16]  M. Sangster,et al.  Broad dispersion and lung localization of virus-specific memory B cells induced by influenza pneumonia , 2008, Proceedings of the National Academy of Sciences.

[17]  E. Meffre,et al.  Protective antiviral antibody responses in a mouse model of influenza virus infection require TACI. , 2011, The Journal of clinical investigation.

[18]  M. Sangster,et al.  Distinctive kinetics of the antibody-forming cell response to Sendai virus infection of mice in different anatomical compartments. , 1995, Virology.

[19]  G. Ada,et al.  Persistence of influenza virus-specific antibody-secreting cells and B-cell memory after primary murine influenza virus infection. , 1987, Cellular immunology.

[20]  Joseph A. C. Delaney Sensitivity analysis , 2018, The African Continental Free Trade Area: Economic and Distributional Effects.

[21]  Xiaohua Xia,et al.  On Identifiability of Nonlinear ODE Models and Applications in Viral Dynamics , 2011, SIAM Rev..

[22]  C. Berek,et al.  The establishment of the plasma cell survival niche in the bone marrow , 2013, Immunological reviews.

[23]  Julio R. Banga,et al.  Solving nonconvex climate control problems: pitfalls and algorithm performances , 2004, Appl. Soft Comput..

[24]  J. Cyster,et al.  Homing of antibody secreting cells , 2003, Immunological reviews.

[25]  A. Perelson,et al.  HIV-1 Dynamics in Vivo: Virion Clearance Rate, Infected Cell Life-Span, and Viral Generation Time , 1996, Science.

[26]  G. Ada,et al.  Influenza virus-specific antibody-secreting cells in the murine lung during primary influenza virus infection , 1986, Journal of virology.

[27]  David R. Anderson,et al.  Multimodel Inference , 2004 .

[28]  P. Doherty,et al.  Analysis of the Virus-Specific and Nonspecific B Cell Response to a Persistent B-Lymphotropic Gammaherpesvirus1 , 2000, The Journal of Immunology.

[29]  Hulin Wu,et al.  Modeling of Influenza-Specific CD8+ T Cells during the Primary Response Indicates that the Spleen Is a Major Source of Effectors , 2011, The Journal of Immunology.

[30]  Alan S. Perelson,et al.  Viral and Latent Reservoir Persistence in HIV-1–Infected Patients on Therapy , 2006, PLoS Comput. Biol..

[31]  Jianzhu Chen,et al.  B-1 and B-2 Cell–Derived Immunoglobulin M Antibodies Are Nonredundant Components of the Protective Response to Influenza Virus Infection , 2000, The Journal of experimental medicine.

[32]  P. Doherty,et al.  An Early CD4+ T Cell–dependent Immunoglobulin A Response to Influenza Infection in the Absence of Key Cognate T–B Interactions , 2003, The Journal of experimental medicine.

[33]  S. Surman,et al.  Antibody response to influenza infection of mice: different patterns for glycoprotein and nucleocapsid antigens , 2003, Immunology.

[34]  J. P. Park The Identification Of Multiple Outliers , 2000 .

[35]  Xiaohua Xia,et al.  Identifiability of nonlinear systems with application to HIV/AIDS models , 2003, IEEE Trans. Autom. Control..

[36]  Alan S. Perelson,et al.  Decay characteristics of HIV-1-infected compartments during combination therapy , 1997, Nature.

[37]  D. Goldstein Statistics and science : a Festschrift for Terry Speed , 2003 .

[38]  Alan S. Perelson,et al.  Effect of 1918 PB1-F2 Expression on Influenza A Virus Infection Kinetics , 2011, PLoS Comput. Biol..

[39]  L. Hyland,et al.  Nasal-Associated Lymphoid Tissue Is a Site of Long-Term Virus-Specific Antibody Production following Respiratory Virus Infection of Mice , 2001, Journal of Virology.

[40]  Gordon K. Smyth,et al.  Pearson's goodness of fit statistic as a score test statistic , 2003 .

[41]  M. Sangster,et al.  TH cells primed during influenza virus infection provide help for qualitatively distinct antibody responses to subsequent immunization. , 1999, Journal of immunology.

[42]  Harvey J. Motulsky,et al.  Detecting outliers when fitting data with nonlinear regression – a new method based on robust nonlinear regression and the false discovery rate , 2006, BMC Bioinformatics.

[43]  H. Sung,et al.  Cutting Edge: Intravascular Staining Redefines Lung CD8 T Cell Responses , 2012, The Journal of Immunology.

[44]  Alan S. Perelson,et al.  Quantifying the Early Immune Response and Adaptive Immune Response Kinetics in Mice Infected with Influenza A Virus , 2010, Journal of Virology.

[45]  A. Khoruts,et al.  Visualizing the generation of memory CD4 T cells in the whole body , 2001, Nature.