A biomathematical model of immune response and barrier function in mice with pneumococcal lung infection

Abstract

Pneumonia is one of the leading causes of death worldwide. The course of the disease is often highly dynamic with unforeseen critical deterioration within hours in a relevant proportion of patients. Besides antibiotic treatment, novel adjunctive therapies are under development. Their additive value needs to be explored in preclinical and clinical studies and corresponding therapy schedules require optimization prior to introduction into clinical practice. Biomathematical modeling of the underlying disease and therapy processes might be a useful aid to support these processes. We here propose a biomathematical model of murine immune response during infection with Streptococcus pneumoniae aiming at predicting the outcome of different treatment schedules. The model consists of a number of non-linear ordinary differential equations describing the dynamics and interactions of the pulmonal pneumococcal population and relevant cells of the innate immune response, namely alveolar- and inflammatory macrophages and neutrophils. The cytokines IL-6 and IL-10 and the chemokines CCL2, CXCL1 and CXCL5 are considered as major mediators of the immune response. We also model the invasion of peripheral blood monocytes, their differentiation into macrophages and bacterial penetration through the epithelial barrier causing blood stream infections. We impose therapy effects on this system by modelling antibiotic therapy and treatment with the novel C5a-inactivator NOX-D19. All equations are derived by translating known biological mechanisms into equations and assuming appropriate response kinetics. Unknown model parameters were determined by fitting the predictions of the model to time series data derived from mice experiments with close-meshed time series of state parameters. Parameter fittings resulted in a good agreement of model and data for the experimental scenarios. The model can be used to predict the performance of alternative schedules of combined antibiotic and NOX-D19 treatment. We conclude that we established a comprehensive biomathematical model of pneumococcal lung infection, immune response and barrier function in mice allowing simulations of new treatment schedules. We aim to validate the model on the basis of further experimental data. We also plan the inclusion of further novel therapy principles and the translation of the model to the human situation in the near future.

A biomathematical model of atherosclerosis in mice

“…Simultaneous optimization of several scenarios is achieved by adding the respective fitness functions. As in our previous work [ 23 ], we solved the optimization problem using (1+3)-evolutionary-strategies with self-adapting mutation step size (see [ 24 , 25 ]).…”

Mathematical Modeling of the Lethal Synergism of Coinfecting Pathogens in Respiratory Viral Infections: A Review

“…Despite many models published on respiratory virus-only [70][71][72][73][74][75][76][77][78] and bacteria-only [79][80][81][82][83] infections, few ODE models currently exist that can replicate influenza-bacteria coinfection dynamics [42,44,[84][85][86][87][88][89]. The majority of ODE modeling work in coinfection has been done in IAV and pneumococcus coinfection, one of the most common coinfections diagnosed in a typical influenza season [14].…”

Pharmacokinetic/pharmacodynamic models for time courses of antibiotic effects

“…Furthermore, attempts have been made to accommodate elements of immune response (e.g. alveolar macrophages, neutrophils, cytokines, chemokines) [37] , or the release of inflammatory bacterial products such as endotoxin in the PKPD models [38] .…”