+ Resolve Article
+ Follow Us
Follow on FacebookFollow on Facebook
Follow on TwitterFollow on Twitter

+ Translate
+ Subscribe to Site Feed
GeoScience Most Shared ContentMost Shared Content

Stability analysis of one-dimensional dynamical systems applied to an isolated beating heart

, : Stability analysis of one-dimensional dynamical systems applied to an isolated beating heart. Journal of Theoretical Biology 148(2): 175-192

In this paper we propose a new model of an isolated beating heart. The model is described by a one-dimensional non-linear discrete dynamical system which depends on several parameters. Applying stability analysis we investigate the dynamic properties of the non-linear system. We find those domains in the parameter space in which the equilibrium point of the system (the fixed point) and the periodic orbits are attractors and in which they are unstable. These domains correspond to a normal and abnormal beating heart, i.e. when the end diastolic volumes are stable time invariant and time variant, respectively. On transition between these domains there is a bifurcation which gives rise to a pair of attracting points of period 2. This case corresponds to the simplest type of period doubling behavior of an abnormal beating heart, called mechanical alternans. Our results provide qualitative and quantitative predictions which can be used for comprehensive experimental design.


PMID: 2016889

Other references

Arai H.; Sato K.; Uto A.; Yasumoto Y., 1991: Effect of transient cerebral ischemia in mongolian gerbils on synaptic vesicle protein svp 38 and developmentally regulated brain protein drebrin. Changes in synaptic vesicle protein (SVP-38) and developmentally regulated brain protein (Drebrin), a pre- and a postsynaptic protein, respectively, in the brains of Mongolian gerbils were examined after transient cerebral ischemia. Sodium dodecyl...

Fischer, B.; Sumner, I.; Goodenough, P., 1993: Isolation, renaturation, and formation of disulfide bonds of eukaryotic proteins expressed in Escherichia coli as inclusion bodies. Expression of recombinant proteins in Escherichia coli often results in the formation of insoluble inclusion bodies, In case of expression of eukaryotic proteins containing cysteine, which may form disulfide bonds in the native active protein, oft...

von Olshausen, K., 1992: Arrhythmias in aortic regurgitation: incidence, consequences and treatment. Acta Cardiologica 47(2): 141-143

Selby, T., 1989: Nurses call for action by Congress. American Nurse 21(1): 1, 20-1, 20

Thacher, P., 1984: Strategies to safeguard the sea. EPA Environmental Protection Agency journal 10(9): 22-23

Scott, G., 2000: Nurses win in pay round. NlmCategory="UNASSIGNED">Pay rises of 3.4 per cent for most nurses and up to 7.8 per cent for 60,000 of the most experienced have been welcomed by nursing unions.

Nagaoka, K.; Nojima, H.; Watanabe, F., 2003: Regulation of Blastocyst Migration, Apposition, and Initial Adhesion by a Chemokine, Interferon c-inducible Protein 10 kDa (IP-10), during Early Gestation. The Journal of Biological Chemistry 278(31): 048-56

Mehta, G.U.; Lonser, R.R.; Oldfield, E.H., 2012: The history of pituitary surgery for Cushing disease. Although he never performed a pituitary operation for the disease, Harvey Cushing was the first to describe and treat patients with Cushing disease (CD). Other surgeons at the time were reluctant to operate on the pituitary due to the normal sella...

Sharov, I.Ya, 1979: Characteristics of hybrids obtained by crossing varieties and forms from the flax collection. The highest fibre yields and best fibre quality were found in hybrids from crosses involving Tomsk 5, Tomsk 9, Tomsk 10, Pskov 1, Stremutka, Berezka [Little Birch], Spartak, Pskov 359, I15, Severyanin [Northerner], 8063 and Tvertsa. The most lodgi...

Garg B.K.; Garg O.P., 1981: Metabolism of germinating moong phaseolus aureus cultivar varsha seeds under saline alkaline conditions due to sodium carbonate and sodium bi carbonate. The effect of iso-osmotic concentrations of Na2 CO3 and NaHCO3 (2, 4 and 6 mmhos/cm) was studied on some metabolites in moong (P. aureus Roxb. cv. Varsha) during germination in Petri dishes. Hydrolysis of RNA, DNA and proteins was retarded in the...