Journal of clinical monitoring and computing
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J Clin Monit Comput · Aug 2013
A simple model of the right atrium of the human heart with the sinoatrial and atrioventricular nodes included.
Existing atrial models with detailed anatomical structure and multi-variable cardiac transmembrane current models are too complex to allow to combine an investigation of long time dycal properties of the heart rhythm with the ability to effectively simulate cardiac electrical activity during arrhythmia. Other ways of modeling need to be investigated. Moreover, many state-of-the-art models of the right atrium do not include an atrioventricular node (AVN) and only rarely--the sinoatrial node (SAN). ⋯ Our simulations support the hypothesis that the alternans of the conduction time between the atria and the ventricles in the AV orthodromic reciprocating tachycardia can occur within a single pathway. In the atrial parasystole simulation, we found a mathematical condition which allows for a rough estimation of the location of the parasystolic source within the atrium, both for simplified (planar) and the cylindrical geometry of the atrium. The planar and the cylindrical geometry yielded practically the same results of simulations.
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J Clin Monit Comput · Aug 2013
Analysis of a mathematical model of apoptosis: individual differences and malfunction in programmed cell death.
Apoptosis is an important area of research because of its role in keeping a mature multicellular organism's number of cells constant, hence, ensuring that the organism does not have cell accumulation that may transform into cancer with additional hallmarks. Firstly, we have carried out sensitivity analysis on an existing mathematical mitochondria-dependent apoptosis model to find out which parameters have a role in causing monostable cell survival, which may, in turn, lead to malfunction in apoptosis. We have then generated three base parameter sets that represent healthy cells. ⋯ For this treatment, the amount of proteasome inhibitor needed for caspase-3 activation may be different for hypothetical cells with a different pro- or anti-apoptotic protein defect. It is also found that caspase-3 can be activated by Bcl-2 inhibitor treatment only in those hypothetical malfunctioning cells with Bax deficiency but not in others. These results are in line with the view that molecular heterogeneity in individuals may be an important factor in determining the individuals' positive or negative responses to treatments.