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Research Article

Generation of the mathematical model to analyze the dynamical behaviour of the blood flow

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References

  • D. Koller and N. Friedman, Probabilistic graphical models: principles and techniques. MIT press, 2009.
  • K. I. Bin Iqbal, X. Du, M. M. Uddin and M. F. Uddin, “Balanced truncation for reduced-order modeling of piezoelectric tonpilz transducer on the limited frequency interval,” Applied Mathematical Modelling, vol. 111, pp. 63–77, 2022. doi: 10.1016/j.apm.2022.06.010
  • P. Benner, J. Saak and M. M. Uddin, “Structure preserving model order reduction of large sparse second-order index-1 systems and application to a mechatronics model,” Mathematical and Computer Modelling of Dynamical Systems, vol. 22, no. 6, pp. 509–523, 2016. doi: 10.1080/13873954.2016.1218347
  • M. D. Hunter, “State space modeling in an open source, modular, structural equation modeling environment,” Structural Equation Modeling: A Multidisciplinary Journal, vol. 25, no. 2, pp. 307–324, 2018. doi: 10.1080/10705511.2017.1369354
  • W.-Y. Tan, W. Ke and G. Webb, “A stochastic and state space model for tumour growth and applications,” Computational and Mathematical Methods in Medicine, vol. 10, no. 2, pp. 117–138, 2009. doi: 10.1080/17486700802200784
  • I. Silva, A. Schelin, R. Viana and I. Caldas, “Transport of blood particles: Chaotic advection even in a healthy scenario,” Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 30, no. 9, p. 093135, 2020. doi: 10.1063/5.0013460
  • Müller, Peter C. “Aspects of modeling dynamical systems by differential-algebraic equations.” Mathematical and Computer Modelling of Dynamical Systems 7.2 (2001): 133-143. doi: 10.1076/mcmd.7.2.133.3650
  • E. Eich-Soellner and C. Führer, Numerical Methods in Multibody Dynamics, ser. European Consortium for Mathematics in Industry. Stuttgart: B. G. Teubner GmbH, 1998.
  • Uddin, Mohammad Monir. Computational methods for model reduction of large-scale sparse structured descriptor systems. Diss. Otto-von-Guericke Universität Magdeburg, 2015.
  • A. Antoulas, Approximation of Large-Scale Dynamical Systems, ser. Advances in Design and Control. Philadelphia, PA: SIAM Publications, 2005, vol. 6.
  • Iqbal, Kife Intasar Bin. “Error minimization of reduced models of large-scale systems by solving time and frequency restricted lyapunov equations.” (2018).
  • M. M. Uddin, Computational Methods for Approximation of Large-Scale Dynamical Systems. New York, USA: Chapman and Hall/CRC, 2019.
  • E. Bänsch, P. Benner, J. Saak and H. K. Weichelt, “Riccati-based boundary feedback stabilization of incompressible navier–stokes flows,” SIAM Journal on Scientific Computing, vol. 37, no. 2, pp. A832–A858, 2015. doi: 10.1137/140980016
  • Weickert, Jörg and Jorg Weickert. “Navier-Stokes equations as a differential-algebraic system.” (1996).

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