ISSN Print: 2381-103X  ISSN Online: 2381-1048
American Journal of Biomedical Science and Engineering  
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Computational Method for Representing the Simultaneous Hemodynamic Relationship between Oxy-Hemoglobin Delivery and Deoxy-Hemoglobin Extraction in Neural Tissues
American Journal of Biomedical Science and Engineering
Vol.3 , No. 6, Publication Date: Oct. 17, 2017, Page: 54-63
1487 Views Since October 17, 2017, 686 Downloads Since Oct. 17, 2017

Nicoladie Tam, Department of Biological Sciences, University of North Texas, Denton, USA.


Luca Pollonini, Departments of Engineering Technology, University of Houston, Houston, USA.


George Zouridakis, Departments of Engineering Technology, University of Houston, Houston, USA; Biomedical Engineering, University of Houston, Houston, USA; Electrical & Computer Engineering, University of Houston, Houston, USA.


In this study, we propose the use of phase space plot analysis to characterize coupling relationships between two simultaneously recorded hemodynamic variables, i.e., oxy-hemoglobin (oxy-Hb) and deoxy-hemoglobin (deoxy-Hb), using functional near-infrared spectroscopy (fNIRS). To demonstrate the validity of the proposed method, we analyze hemodynamic data recorded from human subjects performing an orthogonal movement task. Our results show that phase space plots can quantify the dynamic time-varying relationships between the two variables based on the trajectory of the loci of data points in the phase space plots. In particular, the location of the phase space plots in different quadrants provides a specific coupling relationship between the two hemodynamic variables. The orientation of the loci of points characterizes further the relationship between these two variables, which can be directly or inversely proportional. The locus of the trajectory along a straight line or an elliptical path can reveal the phase relationship between the two variables. Thus, using phase space analysis on these two simultaneously recorded hemodynamic variables can uniquely identify the movement direction encoded by the motor cortex.


Optical Imaging, Near Infrared Spectroscopy, Phase Space Plot, Phase Space Analysis, Movement Decoding, Brain Hemodynamics


B. Abibullaev and J. An, "Classification of frontal cortex haemodynamic responses during cognitive tasks using wavelet transforms and machine learning algorithms," Medical Engineering and Physics, vol. 34, pp. 1394-1410.


M. Ferrari and V. Quaresima, "A brief review on the history of human functional near-infrared spectroscopy (fNIRS) development and fields of application," Neuroimage, vol. 63, pp. 921-35, Nov 1 2012.


C. Hirth, H. Obrig, J. Valdueza, U. Dirnagl, and A. Villringer, "Simultaneous assessment of cerebral oxygenation and hemodynamics during a motor task. A combined near infrared and transcranial Doppler sonography study," Adv Exp Med Biol, vol. 411, pp. 461-9, 1997.


Y. Hoshi, "Towards the next generation of near-infrared spectroscopy," Philos Trans A Math Phys Eng Sci, vol. 369, pp. 4425-39, Nov 28 2011.


N. Liu, X. Cui, D. M. Bryant, G. H. Glover, and A. L. Reiss, "Inferring deep-brain activity from cortical activity using functional near-infrared spectroscopy," Biomed Opt Express, vol. 6, pp. 1074-89, Mar 1 2015.


B. Montcel, R. Chabrier, and P. Poulet, "Time-resolved absorption and hemoglobin concentration difference maps: a method to retrieve depth-related information on cerebral hemodynamics," Opt Express, vol. 14, pp. 12271-87, Dec 11 2006.


H. Obrig, C. Hirth, J. G. Junge-Hulsing, C. Doge, T. Wolf, U. Dirnagl, et al., "Cerebral oxygenation changes in response to motor stimulation," J Appl Physiol, vol. 81, pp. 1174-83, Sep 1996.


A. Pellicer and C. Bravo Mdel, "Near-infrared spectroscopy: a methodology-focused review," Semin Fetal Neonatal Med, vol. 16, pp. 42-9, Feb 2011.


V. Toronov, A. Webb, J. H. Choi, M. Wolf, A. Michalos, E. Gratton, et al., "Investigation of human brain hemodynamics by simultaneous near-infrared spectroscopy and functional magnetic resonance imaging," Med Phys, vol. 28, pp. 521-7, Apr 2001.


W. B. Baker, A. B. Parthasarathy, D. R. Busch, R. C. Mesquita, J. H. Greenberg, and A. G. Yodh, "Modified Beer-Lambert law for blood flow," Biomed Opt Express, vol. 5, pp. 4053-75, Nov 1 2014.


H. Watanabe, M. A. Sato, T. Suzuki, A. Nambu, Y. Nishimura, M. Kawato, et al., "Reconstruction of movement-related intracortical activity from micro-electrocorticogram array signals in monkey primary motor cortex," J Neural Eng, vol. 9, p. 036006, Jun 2012.


H. D. Nguyen, K. S. Hong, and Y. I. Shin, "Bundled-Optode Method in Functional Near-Infrared Spectroscopy," PLoS One, vol. 11, p. e0165146, 2016.


N. D. Tam and G. Zouridakis, "Optical imaging of motor cortical hemodynamic response to directional arm movements using near-infrared spectroscopy," International Journal of Biological Engineering, vol. 3, pp. 11-17, 2013.


N. D. Tam and G. Zouridakis, "Temporal decoupling of oxy- and deoxy-hemoglobin hemodynamic responses detected by functional near-infrared spectroscopy (fNIRS)," Journal of Biomedical Engineering and Medical Imaging, vol. 1, pp. 18-28, Aprill 6, 2014 2014.


N. D. Tam and G. Zouridakis, "Decoding movement direction from motor cortex recordings using near-infrared spectroscopy," in Infrared Spectroscopy: Theory, Developments and Applications, ed Hauppauge, NY: Nova Science Publishers, Inc., 2014.


N. D. Tam and G. Zouridakis, "Decoding of movement direction using optical imaging of motor cortex," in BMC Neuroscience, 2013, p. P380.


N. D. Tam and G. Zouridakis, "Optical imaging of motor cortical activation using functional near-infrared spectroscopy," BMC Neuroscience, vol. 13, p. P27, 16 July 2012 2012.


N. D. Tam, L. Pollonini, and G. Zouridakis, "Decoding movement direction using phase-space analysis of hemodynamic responses to arm movements based on functional near-infrared spectroscopy," in 38th Annual International Conference of the IEEE Engineering in Medicine & Biology Society, Orlando, FL, 2016, pp. 1580-1583.


N. D. Tam, L. Pollonini, and G. Zouridakis, "Phase space analysis of hemodynamic responses to intentional movement directions using functional near-infrared spectroscopy (fNIRS) optical imaging technique," in 25th Annual Computational Neuroscience Meeting: CNS-2016, Jeju, South Korea, 2016, p. 54.


J.-P. Eckmann, S. O. Kamphorst, and D. Ruelle, "Recurrence plots of dynamical systems," EPL (Europhysics Letters), vol. 4, p. 973, 1987.


N. K. Logothetis, J. Pauls, M. Augath, T. Trinath, and A. Oeltermann, "Neurophysiological investigation of the basis of the fMRI signal," Nature, vol. 412, pp. 150-7, Jul 12 2001.


T. Obata, T. T. Liu, K. L. Miller, W. M. Luh, E. C. Wong, L. R. Frank, et al., "Discrepancies between BOLD and flow dynamics in primary and supplementary motor areas: application of the balloon model to the interpretation of BOLD transients," Neuroimage, vol. 21, pp. 144-53, Jan 2004.


A. B. Schwartz, R. E. Kettner, and A. P. Georgopoulos, "Primate motor cortex and free arm movements to visual targets in three-dimensional space. I. Relations between single cell discharge and direction of movement," J Neurosci, vol. 8, pp. 2913-27, Aug 1988.


A. B. Schwartz, D. M. Taylor, and S. I. Tillery, "Extraction algorithms for cortical control of arm prosthetics," Curr Opin Neurobiol, vol. 11, pp. 701-7, Dec 2001.


A. B. Schwartz, "Direct cortical representation of drawing," Science, vol. 265, pp. 540-2, Jul 22 1994.


A. P. Georgopoulos, R. E. Kettner, and A. B. Schwartz, "Primate motor cortex and free arm movements to visual targets in three-dimensional space. II. Coding of the direction of movement by a neuronal population," J Neurosci, vol. 8, pp. 2928-37, Aug 1988.


A. P. Georgopoulos, A. B. Schwartz, and R. E. Kettner, "Neuronal population coding of movement direction," Science, vol. 233, pp. 1416-9, Sep 26 1986.


R. E. Kettner, A. B. Schwartz, and A. P. Georgopoulos, "Primate motor cortex and free arm movements to visual targets in three-dimensional space. III. Positional gradients and population coding of movement direction from various movement origins," J Neurosci, vol. 8, pp. 2938-47, Aug 1988.


S. Lin, J. Si, and A. B. Schwartz, "Self-organization of firing activities in monkey's motor cortex: trajectory computation from spike signals," Neural Comput, vol. 9, pp. 607-21, Apr 1 1997.

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