An inverse problem approach to identify the internal force of a mechanosensation process in a cardiac myocyte

Arif, Serife; Kokulan, N.; Buyandelger, Byambajav; Chen, Lai; Knöll, Ralph

doi:10.1016/j.imu.2017.01.002

Cited by 2 publications

(2 citation statements)

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“…The results presented in that paper demonstrated a speed up in computational time using the hybrid method in comparison to using the QPSO and PSO separately, with the same accuracy with regard to experimental data. A similar hybrid approach was taken in another previous paper [1] which combines QPSO and Gauss-Newton (GN) and was shown to perform really well in the modelling of cardiac myocyte mechanosensation.…”

Section: Introductionmentioning

confidence: 99%

Simultaneous estimation of tracer kinetic model parameters using analytical and inverse approaches with a hybrid method

Kokulan

Hai

George

et al. 2019

International Journal of Computer Mathematics

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The inverse problem approach to Tracer Kinetic Modelling (TKM) using dynamic positron-emission tomography (PET) images is important in identifying the kinetic parameters and then quantifying the tracer concentrations in the region of interest. In parameter estimation, knowledge of good initial approximations to the parameters is essential. The aim of this paper is to extend existing work on an inverse method for tracer kinetics by proposing an improved hybrid method integrated with an analytic solution in a multi-objective formulation of the inverse method. The analytical solution is derived through the use of the Laplace transformation technique. This integrated approach will be compared against other parameter estimation techniques in terms of computational efficiency and accuracy.

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Section: Introductionmentioning

confidence: 99%

Simultaneous estimation of tracer kinetic model parameters using analytical and inverse approaches with a hybrid method

Kokulan

Hai

George

et al. 2019

International Journal of Computer Mathematics

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“…A more detailed review of the processes leading to contraction can be found in Arif et al. 2 The Ca 2+ release event appears as Ca 2+ sparks 3–8 in the cytosol and Ca 2+ blinks 9 in the SR. The successive activation of RyRs increases the local Ca 2+ concentration in the cytosol.…”

Section: Introductionmentioning

confidence: 99%

Estimation of stochastic behaviour in cardiac myocytes: I. Ca²⁺ movements inside the cytosol and sarcoplasmic reticulum on curvilinear domains

Arif

Chen

Ramesh

2019

JRSM Cardiovascular Disease

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BackgroundSince the discovery of Ca2+ sparks and their stochastic behaviour in cardiac myocytes, models have focused on the inclusion of stochasticity in their studies. While most models pay much attention to the stochastic modelling of cytosolic Ca2+ concentration the coupling of Ca2+ sparks and blinks in a stochastic model has not been explored fully. The cell morphology in in silico studies in the past is assumed to be Cartesian, spherical or cylindrical. The application on curvilinear grids can easily address certain restrictions posed by such grid set up and provide more realistic cell morphology. In this paper, we present a stochastic reaction–diffusion model that couples Ca2+ sparks and blinks in realistic shapes of cells in curvilinear domains.Methodology: Transformation of the model was performed to the curvilinear coordinate system. The set of equations is used to produce Ca2+ waves initiated from sparks and blinks. A non-buffered and non-dyed version as well as a buffered and dyed version of these equations were studied in light of observing the dynamics on the two different systems. For comparison, results for both the Cartesian and curvilinear grids are provided.Results and conclusions: A successful demonstration of the application of curvilinear grids serving as basis for future developments.

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An inverse problem approach to identify the internal force of a mechanosensation process in a cardiac myocyte

Cited by 2 publications

References 34 publications

Simultaneous estimation of tracer kinetic model parameters using analytical and inverse approaches with a hybrid method

Simultaneous estimation of tracer kinetic model parameters using analytical and inverse approaches with a hybrid method

Estimation of stochastic behaviour in cardiac myocytes: I. Ca²⁺ movements inside the cytosol and sarcoplasmic reticulum on curvilinear domains

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An inverse problem approach to identify the internal force of a mechanosensation process in a cardiac myocyte

Cited by 2 publications

References 34 publications

Simultaneous estimation of tracer kinetic model parameters using analytical and inverse approaches with a hybrid method

Simultaneous estimation of tracer kinetic model parameters using analytical and inverse approaches with a hybrid method

Estimation of stochastic behaviour in cardiac myocytes: I. Ca2+ movements inside the cytosol and sarcoplasmic reticulum on curvilinear domains

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Estimation of stochastic behaviour in cardiac myocytes: I. Ca²⁺ movements inside the cytosol and sarcoplasmic reticulum on curvilinear domains