A reduced mathematical model of the acute inflammatory response: I. Derivation of model and analysis of anti-inflammation

A Reynolds, J Rubin, G Clermont, J Day… - Journal of theoretical …, 2006 - Elsevier
… In this work, we derive a reduced conceptual model for the acute … As the first step in
performing this mathematical analysis, we derive a reduced model of the acute immune response

A reduced mathematical model of the acute inflammatory response II. Capturing scenarios of repeated endotoxin administration

J Day, J Rubin, Y Vodovotz, CC Chow… - Journal of theoretical …, 2006 - Elsevier
lower than levels normally observed after endotoxin administration suggests that inflammation
… We hypothesized that a simple mathematical model of the acute inflammatory response

Deciphering the complexity of acute inflammation using mathematical models

Y Vodovotz - Immunologic research, 2006 - Springer
… We first set out to create a series of reduced EBM of inflammation that would be amenable
to … We next examined the anti-inflammatory response in acute inflammation (8). While anti-…

Mathematical modeling of energy consumption in the acute inflammatory response

I Ramirez-Zuniga, JE Rubin, D Swigon… - Journal of theoretical …, 2019 - Elsevier
… Computational modeling provides an approach to deriving predictions about complex
biological … Mathematical model Here we present a reduced model of the immune response to …

[PDF][PDF] A mathematical model of acute inflammatory response to endotoxin challenge

A Roy, G Clermont, S Daun, RS Parker - … Meeting, Salt Lake City, UT, 538g, 2007 - Citeseer
inflammatory signals. In this work, an 8-state (8-D) differential equation model of the acute
inflammatory response … -developed low-order model [6] consisted of an inflammatory stimulus (…

A mathematical model of the inflammatory response to pathogen challenge

L Caudill, F Lynch - Bulletin of Mathematical Biology, 2018 - Springer
reduced functionality of associated tissues. We present and analyze a low-dimensional
mathematical model of this immune … of deriving reliable estimates for many model parameters. …

The dynamics of acute inflammation

R Kumar, G Clermont, Y Vodovotz, CC Chow - Journal of theoretical …, 2004 - Elsevier
… Thus, mathematical modeling may provide insights into the … that simple models of the acute
inflammatory response can … FP 3 gets closer to the origin so that oscillations around it take …

Mathematical model of antiviral immune response III. Influenza A virus infection

GA Bocharov, AA Romanyukha - Journal of Theoretical Biology, 1994 - Elsevier
… IAV infection are explored by deriving a multiparameter mathematical model, which allows
… to that for acute hepatitis B, but the relative response is proportionally less compared to the …

The inflammatory response to influenza A virus (H1N1): an experimental and mathematical study

I Price, ED Mochan-Keef, D Swigon… - Journal of theoretical …, 2015 - Elsevier
… with mathematical modeling of the in-host immune response … Many mathematical models
of the immune response to IAV … reduce morbidity without compromising the patient’s immune

The resolution of inflammation: a mathematical model of neutrophil and macrophage interactions

JL Dunster, HM Byrne, JR King - Bulletin of mathematical biology, 2014 - Springer
… We start with a minimal model of the inflammatory response … with a less pronounced and
transient inflammatory response (… Due to the complexity of Model 3, it is not possible to derive