Deterministic Finite State Model of Heart Cycle: Modeling and Simulation

Heart cycle model explores the deterministic finite state of heart cycle whereby the transition of blood is dependent of the state of the source and the input. Blood flowing in human body is a series of complex networks working together in a logic circuit. This research describes the complex mechanisms of heart cycle in relation to the inter-relationship between the chambers and valves, in a logical and one dimensional structure. Logical operators and tristate buffer are used to map the states of the chamber and valves as it relaxes/contracts and open/close respectively, in truth tables. Mathematical analysis is used to model the state and outflow behavior of heart cycle in discrete time.

[1]  Bernard P. Zeigler,et al.  Theory of Modeling and Simulation: Integrating Discrete Event and Continuous Complex Dynamic Systems , 2000 .

[2]  Song Li,et al.  Boolean network simulations for life scientists , 2008, Source Code for Biology and Medicine.

[3]  Harun Uguz,et al.  Adaptive neuro-fuzzy inference system for diagnosis of the heart valve diseases using wavelet transform with entropy , 2011, Neural Computing and Applications.

[4]  Ashish V. Shelke Heart Valve Disease Classification Using Neural Network , 2015 .

[5]  Emre Çomak,et al.  A decision support system based on support vector machines for diagnosis of the heart valve diseases , 2007, Comput. Biol. Medicine.

[6]  Ahmet Arslan,et al.  An intelligent system for diagnosis of the heart valve diseases with wavelet packet neural networks , 2003, Comput. Biol. Medicine.

[7]  K. Saladin Anatomy & Physiology: The Unity of Form and Function , 1997 .

[8]  Harun Uguz,et al.  A biomedical system based on hidden Markov model for diagnosis of the heart valve diseases , 2007, Pattern Recognit. Lett..

[9]  A. Hoekstra,et al.  Mesoscopic simulations of systolic flow in the human abdominal aorta. , 2006, Journal of biomechanics.

[10]  C. Peskin Numerical analysis of blood flow in the heart , 1977 .

[11]  Thomas J. R. Hughes,et al.  Finite element modeling of blood flow in arteries , 1998 .

[12]  Ahmet Arslan,et al.  An expert system for diagnosis of the heart valve diseases , 2002, Expert Syst. Appl..

[13]  M. Olufsen,et al.  Numerical Simulation and Experimental Validation of Blood Flow in Arteries with Structured-Tree Outflow Conditions , 2000, Annals of Biomedical Engineering.

[14]  Alejandro F. Frangi,et al.  Numerical simulation of blood flow in the left ventricle and aortic sinus using magnetic resonance imaging and computational fluid dynamics , 2014, Computer methods in biomechanics and biomedical engineering.

[15]  A. Hoekstra,et al.  Simulations of time harmonic blood flow in the Mesenteric artery: comparing finite element and lattice Boltzmann methods , 2009, Biomedical engineering online.

[16]  Harun Uguz,et al.  A Biomedical System Based on Artificial Neural Network and Principal Component Analysis for Diagnosis of the Heart Valve Diseases , 2012, Journal of Medical Systems.