[1] Ogawa S., Menon R.S., Tank D.W., Kim S.G., Merkle H., Ellermann J.M., Functional brain mapping by blood oxygenation level-dependent contrast magnetic resonance imaging- A comparison of signal characteristics with a biophysical model, Biophys, 1993; 64(3): 803-812.
[2] Friston K. J., Jezzard P., Turner R., Analysis of functional MRI time series, Human Brain Mapping, 1994; 1(2):153-171.
[3] Vazquez A. L., Noll D. C., Nonlinear aspects of the BOLD response in functional MRI, NeuroImage, 1998; 7(2): 108-118.
[4] Logothetis N. K., The underpinnings of the BOLD functional magnetic resonance imaging signal, NeuroScience 2003; 23(10):3963-3971.
[5] Buxton R. B., Wong E. C., Frank L. R., Dynamic of blood flow and oxygenation changes during brain activation: The Balloon Model, Magnetic Resonance in Medicine, 1998; 39(6): 855-864.
[6] Harrison L., Penny W. D., Friston K. J., Multivariate autoregressive modeling of fMRI time series, NeuroImage, 2003; 19(4):1477-1491.
[7] Kamba M., Sung Y., Ogawa S., A dynamic system model-based technique for functional MRI data analysis, NeuroImage, 2004; 22(1): 179-187.
[8] Tong H., Non-Linear Time Series: A Dynamical System Approach, Oxford University Press, 1990.
[9] Schetzen M., The Volterra and Wiener Theories of Nonlinear Systems, John Wiley & Sons, 1980.
[10] [10] Chance J. E., Worden K., Tomlinson G. R., Frequency domain analysis of NARX neural networks, Journal of Sound and Vibration, 1998; 213(5):915-941.
[11] Yokoyama M., Watanabe A., Estimation errors of volterra kernels measured by use of nonwhite input, Electronics and Communications in Japan, 1992; 75(1):53-63.
[12] Friston K. J., Mechelli A., Turner R., Price C. J., Nonlinear Response in fMRI: The Balloon Model, Volterra Kernels, and Other Hemodynamics, Neuroimage, 2000; 12(4): 466-477.
[13] Mercer K. J., Identification of Distortion Models, Ph.D. Dissertation, 1993.
[14] Billings S. A., An overview of nonlinear systems identification, Proc. IFAC Syrup Ident System Param Est, 1985: 725-729.
[15] Segal B. N., Outerbridge J. N., Vestibular (semicircular canal) primary neurons in bullfrog: nonlinearity of individual and population response to rotation, Neurophys, 1982; 47(4): 545-562.
[16] Hunter I. W., Frog muscle fiber dynamic stiffness determined using nonlinear system identification techniques, Biophys, 1985; 47(7): 247-287.
[17] Riera J., Bosch J., Yamashita O., Kawashima R., Sadato N., Okada T., Ozaki T., fMRI activation maps based on the NN-ARx model, NeuroImage; 2000; 23(2): 680-697.
[18] Levin A. U., Narendra, K. S., Control of nonlinear dynamical systems using neural networks: controllability and stabilization, IEEE Trans. Neural Networks, 1993; 4(2): 192-206.
[19] Haykin S., Neural Networks: A comprehensive foundation, 2nd ed. Prentice Hall, 1999.
[20] Scales L. E., Introduction to Non-Linear Optimization, New York, Springer-Verlag, 1985.
[21] Jacobsen D. J., Hemodynamic modelling of BOLD fMRI - A machine learning approach. PhD Dissertation, Technical University of Denmark, Denmark, 2006.
[22] Boxerman J.L., Bandettini P.A., Kwong K.K., Baker J.R., Davis T.L., Rosen B.R., Weisskoff R.M., The intravascular contribution to fMRI signal change: Monte Carlo modelling and diffusion-weighted studies in vivo, Magnetic Resonance in Medicine, 1995; 34 (1): 4-10.
[23] Riera J., Watanabe J., Kazuki I., Naoki M., Aubert E., Ozaki T., Kawashima R., A state-space model of the hemodynamic approach: nonlinear filtering of bold signals, Neuroimage, 2004; 21(2): 547-567.
[24] Buxton R. B., Frank L. R., A model for the coupling between cerebral blood flow and oxygen metabolismduring neural stimulation, Cereb. Blood Flow Metab., 1997; 17(1):64-72.
[25] Miller K.L., Luh W.M., Liu T.T., Martinez A., Obata T., Wong E.C., Frank L.R., Buxton R.B., Nonlinear temporal dynamics of the cerebral blood flow response, Human Brain Mapping, 2001; 13(1): 1-12.
[26] Friston K. J., Bayesian Estimation of Dynamical Systems: An Application to fMRI, NeuroImage, 2002; 16(2): 513-530.
[27] Chamber M. C., Full Brain Blood – Oxygen – Level –Dependent Signal Parameter Etimation Using Particle Filters, Master of Thesis, Virgiana, 2010.
[28] Deneux T., Faugeras O., Using nonlinear models in fMRI data analysis: model selection and activation detection, NeuroImage, 2006; 32(4): 1669–1689.
[29] Luo H., Puthusserypady S., Estimation of the Hemodynamic Response of fMRI Data Using RBF Neural Network, IEEE Trans. Bio. Med. Eng., 2007; 54(8): 1371-1381.