Modelling osteomyelitis

BackgroundThis work focuses on the computational modelling of osteomyelitis, a bone pathology caused by bacteria infection (mostly Staphylococcus aureus). The infection alters the RANK/RANKL/OPG signalling dynamics that regulates osteoblasts and osteoclasts behaviour in bone remodelling, i.e. the resorption and mineralization activity. The infection rapidly leads to severe bone loss, necrosis of the affected portion, and it may even spread to other parts of the body. On the other hand, osteoporosis is not a bacterial infection but similarly is a defective bone pathology arising due to imbalances in the RANK/RANKL/OPG molecular pathway, and due to the progressive weakening of bone structure.ResultsSince both osteoporosis and osteomyelitis cause loss of bone mass, we focused on comparing the dynamics of these diseases by means of computational models. Firstly, we performed meta-analysis on a gene expression data of normal, osteoporotic and osteomyelitis bone conditions. We mainly focused on RANKL/OPG signalling, the TNF and TNF receptor superfamilies and the NF-k B pathway. Using information from the gene expression data we estimated parameters for a novel model of osteoporosis and of osteomyelitis. Our models could be seen as a hybrid ODE and probabilistic verification modelling framework which aims at investigating the dynamics of the effects of the infection in bone remodelling. Finally we discuss different diagnostic estimators defined by formal verification techniques, in order to assess different bone pathologies (osteopenia, osteoporosis and osteomyelitis) in an effective way.ConclusionsWe present a modeling framework able to reproduce aspects of the different bone remodeling defective dynamics of osteomyelitis and osteoporosis. We report that the verification-based estimators are meaningful in the light of a feed forward between computational medicine and clinical bioinformatics.

[1]  R. Francis,et al.  Osteoprotegerin, RANKL and bone turnover in postmenopausal osteoporosis , 2011, Journal of Clinical Pathology.

[2]  V. Chernick,et al.  Remodeling , 2006 .

[3]  A. Parfitt,et al.  What old means to bone , 2010, Trends in Endocrinology & Metabolism.

[4]  Tugrul Dayar,et al.  On the numerical analysis of stochastic Lotka-Volterra models , 2010, Proceedings of the International Multiconference on Computer Science and Information Technology.

[5]  Virginia Pascual,et al.  Enhanced Monocyte Response and Decreased Central Memory T Cells in Children with Invasive Staphylococcus aureus Infections , 2009, PloS one.

[6]  Timothy J. Foster,et al.  Staphylococcus aureus Protein A Binds to Osteoblasts and Triggers Signals That Weaken Bone in Osteomyelitis , 2011, PloS one.

[7]  Glenn F Webb,et al.  A mathematical model of bone remodeling dynamics for normal bone cell populations and myeloma bone disease , 2010, Biology Direct.

[8]  A. Parfitt Osteonal and hemi‐osteonal remodeling: The spatial and temporal framework for signal traffic in adult human bone , 1994, Journal of cellular biochemistry.

[9]  Ralph Müller,et al.  In silico biology of bone modelling and remodelling: adaptation , 2009, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[10]  Peter Pivonka,et al.  Mathematical modeling in bone biology: from intracellular signaling to tissue mechanics. , 2010, Bone.

[11]  Robert K. Brayton,et al.  Model-checking continuous-time Markov chains , 2000, TOCL.

[12]  J. Banchereau,et al.  Gene expression patterns in blood leukocytes discriminate patients with acute infections. , 2007, Blood.

[13]  Svetlana V Komarova,et al.  Mathematical model predicts a critical role for osteoclast autocrine regulation in the control of bone remodeling. , 2003, Bone.

[14]  D. Wilkinson Gene Expression Patterns , 2002, Brain Research.

[15]  N. Frisina,et al.  Osteoprotegerin and RANKL in the Pathogenesis of Thalassemia‐Induced Osteoporosis: New Pieces of the Puzzle , 2004, Journal of bone and mineral research : the official journal of the American Society for Bone and Mineral Research.

[16]  Karline Soetaert,et al.  Inverse Modelling, Sensitivity and Monte Carlo Analysis in R Using Package FME , 2010 .

[17]  J Vander Sloten,et al.  In silico biology of bone modelling and remodelling: regeneration , 2009, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[18]  Liza J. Raggatt,et al.  Cellular and Molecular Mechanisms of Bone Remodeling* , 2010, The Journal of Biological Chemistry.

[19]  Pietro Liò,et al.  Multilevel Computational Modeling and Quantitative Analysis of Bone Remodeling , 2012, IEEE/ACM Transactions on Computational Biology and Bioinformatics.

[20]  G. Karsenty,et al.  The central regulation of bone mass, the first link between bone remodeling and energy metabolism. , 2010, The Journal of clinical endocrinology and metabolism.

[21]  Tie-Lin Yang,et al.  In Vivo Genome‐Wide Expression Study on Human Circulating B Cells Suggests a Novel ESR1 and MAPK3 Network for Postmenopausal Osteoporosis , 2008, Journal of bone and mineral research : the official journal of the American Society for Bone and Mineral Research.

[22]  Virginia Pascual,et al.  A modular analysis framework for blood genomics studies: application to systemic lupus erythematosus. , 2008, Immunity.

[23]  Arnold Neumaier,et al.  Mathematical Modeling of the Dynamics of Macroscopic Structural Transformations in Self-Propagating High-Temperature Synthesis , 2004 .

[24]  Pietro Liò,et al.  Multiple verification in computational modeling of bone pathologies , 2011, CompMod.

[25]  Marta Z. Kwiatkowska,et al.  PRISM 4.0: Verification of Probabilistic Real-Time Systems , 2011, CAV.