Mathematical Model of the Release of the cTnT and CK-MB cardiac biomarkers in patients with acute myocardial infarction

The diagnosis of an acute myocardial infarction (AMI) is based, among other things, on the measurement of the level of cardiac biomarkers in the plasma. In order to optimize and speed up the analysis of cardiac Troponin T (cTnT), we have previously developed a mathematical model, which can be used to estimate the patient-specific cTnT release curve, based on a discrete number of acquisitions. Here, the effectiveness of our approach is improved by the extending the model to take into account also the release of another biomarker of cardiac damage, namely the creatine kinase MB (CK-MB). Moreover, the description of cTnT release dynamics has also been improved, taking into account a delay mechanism in the release from cytoplasm to plasma. Structural identifiability of the devised model is studied and a procedure for the identification of the parameters is set up and tested on a clinical dataset to assess the effectiveness of the proposed approach.

[1]  D G Bates,et al.  Validation and invalidation of systems biology models using robustness analysis. , 2011, IET systems biology.

[2]  Riccardo Poli,et al.  Particle swarm optimization , 1995, Swarm Intelligence.

[3]  Míriam R. García,et al.  Experimental Modeling and Identification of Cardiac Biomarkers Release in Acute Myocardial Infarction , 2020, IEEE Transactions on Control Systems Technology.

[4]  Jorge Nocedal,et al.  An interior algorithm for nonlinear optimization that combines line search and trust region steps , 2006, Math. Program..

[5]  John Crank,et al.  The Mathematics Of Diffusion , 1956 .

[6]  N. Skeik,et al.  A review of troponins in ischemic heart disease and other conditions. , 2007, The International journal of angiology : official publication of the International College of Angiology, Inc.

[7]  Francesco Amato,et al.  Validation of a model of the GAL regulatory system via robustness analysis of its bistability characteristics , 2013, BMC Systems Biology.

[8]  George Dangas,et al.  Increased CK-MB release is a "trade-off" for optimal stent implantation: an intravascular ultrasound study. , 2002, Journal of the American College of Cardiology.

[9]  Mansour Eslami,et al.  Theory of Sensitivity in Dynamic Systems: An Introduction , 1994 .

[10]  David Holzhey,et al.  IMPACT OF MYOCARDIAL INJURY INDICATED BY INCREASED CREATININE KINASE-MYOCARDIAL BAND LEVELS ON THE OUTCOME AFTER TRANSCATHETER AORTIC VALVE REPLACEMENT: RESULTS FROM A PROSPECTIVE SINGLE CENTER REGISTRY , 2017 .

[11]  Antonis Papachristodoulou,et al.  Structural Identifiability of Dynamic Systems Biology Models , 2016, PLoS Comput. Biol..