메뉴 건너뛰기




Volumn 2064, Issue , 2013, Pages 21-41

Mathematical modeling of physiological systems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84893046747     PISSN: 00758434     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-642-32882-42     Document Type: Article
Times cited : (5)

References (52)
  • 1
    • 34047199854 scopus 로고    scopus 로고
    • Approximation of large-scale dynamical systems
    • SIAM, Philadelphia, PA
    • Antoulas, A.: Approximation of Large-Scale Dynamical Systems. Advances in Design and Control. SIAM, Philadelphia, PA (2005).
    • (2005) Advances in Design and Control
    • Antoulas, A.1
  • 3
    • 0034352177 scopus 로고    scopus 로고
    • Strategies for the physiome project
    • DOI 10.1114/1.1313771
    • Bassingthwaighte, J.: Strategies for the physiome project. Ann. Biomed. Eng. 28, 1043-1058 (2000). (Pubitemid 32085391)
    • (2000) Annals of Biomedical Engineering , vol.28 , Issue.8 , pp. 1043-1058
    • Bassingthwaighte, J.B.1
  • 4
    • 0015359586 scopus 로고
    • Simulation of the human cardiovascular system: A model with normal response to change in posture, blood loss, transfusion, and autonomic blockade
    • Boyers, D., Cuthbertson, J., Luetscher, J.: Simulation of the human cardiovascular system: A model with normal response to change in posture, blood loss, transfusion, and autonomic blockade. Simulation 18, 197-205 (1972).
    • (1972) Simulation , vol.18 , pp. 197-205
    • Boyers, D.1    Cuthbertson, J.2    Luetscher, J.3
  • 5
    • 70350680154 scopus 로고    scopus 로고
    • Modeling and simulation of the cardiovascular system: A review of applications, methods, and potentials
    • Brunberg, A., Heinke, S., Spillner, J., Autschbach, R., Abel, D., Leonhardt, S.: Modeling and simulation of the cardiovascular system: A review of applications, methods, and potentials. Biomed. Tech. (Berl.) 54(5), 233-244 (2009).
    • (2009) Biomed. Tech. (Berl.) , vol.54 , Issue.5 , pp. 233-244
    • Brunberg, A.1    Heinke, S.2    Spillner, J.3    Autschbach, R.4    Abel, D.5    Leonhardt, S.6
  • 6
    • 0033079713 scopus 로고    scopus 로고
    • Subset selection for improved parameter estimation in on-line identification of a synchronous generator
    • Burth, M., Verghese, G., V́elez-Reyes, M.: Subset selection for improved parameter estimation in on-line identification of a synchronous generator. IEEE Trans. Power Syst. 14(1), 218-225 (1999).
    • (1999) IEEE Trans. Power Syst. , vol.14 , Issue.1 , pp. 218-225
    • Burth, M.1    Verghese, G.2    V́elez-Reyes, M.3
  • 7
    • 8944238471 scopus 로고    scopus 로고
    • Consensus Committee of the American Autonomic Society and the American Academy of Neurology: Consensus statement on the definition of orthostatic hypotension, pure autonomic failure and multiple system atrophy
    • Consensus Committee of the American Autonomic Society and the American Academy of Neurology: Consensus statement on the definition of orthostatic hypotension, pure autonomic failure and multiple system atrophy. Clin. Auton. Res. 6, 125-126 (1996).
    • (1996) Clin. Auton. Res. , vol.6 , pp. 125-126
  • 10
    • 85009375993 scopus 로고
    • Computer model of cardiovascular control system response to exercise
    • Croston, R., Rummel, J., Kay, F.: Computer model of cardiovascular control system response to exercise. J. Dyn. Syst. Meas. Control 95, 301-307 (1973).
    • (1973) J. Dyn. Syst. Meas. Control , vol.95 , pp. 301-307
    • Croston, R.1    Rummel, J.2    Kay, F.3
  • 11
    • 0014519044 scopus 로고
    • A digital computer model of the effects of gravitational stress upon the heart and venous system
    • Dickinson, C.: A digital computer model of the effects of gravitational stress upon the heart and venous system. Med. Biol. Eng. 7, 267-275 (1969).
    • (1969) Med. Biol. Eng. , vol.7 , pp. 267-275
    • Dickinson, C.1
  • 12
    • 0001740359 scopus 로고
    • Die Grundform des arteriellen Pulses. Erste Abhandlung
    • Frank, O.: Die Grundform des arteriellen Pulses. Erste Abhandlung. Mathematische Analyse. Z. Biol. 37, 483-526 (1899).
    • (1899) Mathematische Analyse. Z. Biol. , vol.37 , pp. 483-526
    • Frank, O.1
  • 13
    • 0003683914 scopus 로고
    • Rank degeneracy and least squares problems
    • Department of Computer Science, University of Maryland, College Park, MD
    • Golub, G., Klema, V., Stewart, G.: Rank degeneracy and least squares problems. Technical Report TR-456, Department of Computer Science, University of Maryland, College Park, MD (1976).
    • (1976) Technical Report TR-456
    • Golub, G.1    Klema, V.2    Stewart, G.3
  • 14
    • 0004236492 scopus 로고    scopus 로고
    • 3rd edn. Johns Hopkins University Press, Baltimore, MD
    • Golub, G., van Loan, C.: Matrix Computations, 3rd edn. Johns Hopkins University Press, Baltimore, MD (1996).
    • (1996) Matrix Computations
    • Golub, G.1    Van Loan, C.2
  • 15
    • 0015693489 scopus 로고
    • A model describing the response of the circulatory sytem to acceleration stress
    • Green, J., Miller, N.: A model describing the response of the circulatory sytem to acceleration stress. Ann. Biomed. Eng. 1(4), 455-467 (1973).
    • (1973) Ann. Biomed. Eng. , vol.1 , Issue.4 , pp. 455-467
    • Green, J.1    Miller, N.2
  • 16
    • 0014510898 scopus 로고
    • Quantitative analysis of the pathophysiology of hypertension
    • Guyton, A., Coleman, T.: Quantitative analysis of the pathophysiology of hypertension. Circ. Res. 24(Suppl. I), I1-I19 (1969).
    • (1969) Circ. Res. , vol.24 , Issue.SUPPL. I
    • Guyton, A.1    Coleman, T.2
  • 17
    • 33846917585 scopus 로고    scopus 로고
    • Computational models of cardiovascular response to orthostatic stress
    • Harvard-MIT Division of Health Sciences and Technology, Massachusetts Institute of Technology, Cambridge, MA
    • Heldt, T.: Computational models of cardiovascular response to orthostatic stress. Doctoral dissertation, Harvard-MIT Division of Health Sciences and Technology, Massachusetts Institute of Technology, Cambridge, MA (2004). Http://dspace.mit.edu/handle/1721.1/28761.
    • (2004) Doctoral Dissertation
    • Heldt, T.1
  • 18
    • 28144460357 scopus 로고    scopus 로고
    • Scaling cardiovascular parameters for population simulations
    • Computers in Cardiology 2004
    • Heldt, T., Mark, R.: Scaling cardiovascular parameters for population simulations. Comput. Cardiol. 31, 133-136 (2004). Available at http://www.cinc.org/archives/2004/133.pdf. (Pubitemid 41696082)
    • (2004) Computers in Cardiology , vol.31 , pp. 133-136
    • Heldt, T.1    Mark, R.G.2
  • 19
    • 33847162840 scopus 로고    scopus 로고
    • Understanding post-spaceflight orthostatic intolerance - A simulation study
    • DOI 10.1109/CIC.2005.1588180, 1588180, Computers in Cardiology, 2005
    • Heldt, T., Mark, R.: Understanding post-spaceflight orthostatic intolerance - A simulation study. Comput. Cardiol. 32, 631-634 (2005). Available at http://www.cinc.org/archives/2005/0631.pdf. (Pubitemid 46276741)
    • (2005) Computers in Cardiology , vol.32 , pp. 631-634
    • Heldt, T.1    Mark, R.G.2
  • 21
    • 4143142280 scopus 로고    scopus 로고
    • Circulatory response to passive and active changes in posture
    • Available at
    • Heldt, T., Oefinger, M., Hoshiyama, M., Mark, R.: Circulatory response to passive and active changes in posture. Comput. Cardiol. 29, 263-266 (2003). Available at http://www.cinc.org/archives/2003/263.pdf.
    • (2003) Comput. Cardiol. , vol.29 , pp. 263-266
    • Heldt, T.1    Oefinger, M.2    Hoshiyama, M.3    Mark, R.4
  • 24
    • 33751175661 scopus 로고    scopus 로고
    • Mathematical modeling of gravitational effects on the circulation: Importance of the time course of venous pooling and blood volume changes in the lungs
    • van Heusden, K., Gisolf, J., Stok, W., Dijkstra, S., Karemaker, J.: Mathematical modeling of gravitational effects on the circulation: Importance of the time course of venous pooling and blood volume changes in the lungs. Am. J. Physiol. 291(5), H2152-H2165 (2006).
    • (2006) Am. J. Physiol. , vol.291 , Issue.5
    • Van Heusden, K.1    Gisolf, J.2    Stok, W.3    Dijkstra, S.4    Karemaker, J.5
  • 25
    • 35649001607 scopus 로고
    • A quantitative description of membrane current and its application to conduction and excitation in nerve
    • Hodgkin, A., Huxley, A.: A quantitative description of membrane current and its application to conduction and excitation in nerve. J. Physiol. 117, 500-544 (1952).
    • (1952) J. Physiol. , vol.117 , pp. 500-544
    • Hodgkin, A.1    Huxley, A.2
  • 26
    • 0037336350 scopus 로고    scopus 로고
    • Integration from proteins: The physiome project
    • Hunter, P., Borg, T.: Integration from proteins: The physiome project. Nat. Rev. Mol. Cell Biol. 4, 237-243 (2003).
    • (2003) Nat. Rev. Mol. Cell Biol. , vol.4 , pp. 237-243
    • Hunter, P.1    Borg, T.2
  • 27
    • 0024027179 scopus 로고
    • Cardiovascular response to acceleration stress: A computer simulation
    • Jaron, D., Moore, T., Bai, J.: Cardiovascular response to acceleration stress: A computer simulation. Proc. IEEE 76(6), 700-707 (1988).
    • (1988) Proc. IEEE , vol.76 , Issue.6 , pp. 700-707
    • Jaron, D.1    Moore, T.2    Bai, J.3
  • 28
    • 0021365916 scopus 로고
    • A cardiovascular model for studying impairment of cerebral function during +Gz stress
    • Jaron, D., Moore, T., Chu, C.L.: A cardiovascular model for studying impairment of cerebral function during CGz stress. Aviat. Space Environ. Med. 55(1), 24-31 (1984). (Pubitemid 14193781)
    • (1984) Aviation Space and Environmental Medicine , vol.55 , Issue.1 , pp. 24-31
    • Jaron, D.1    Moore, T.W.2    Chu, C.L.3
  • 29
    • 0018557086 scopus 로고
    • Computer simulations of postural change, water immersion, and bedrest: An integrative approach for understanding the spaceflight response
    • Leonard, J., Leach, C., Rummel, J.: Computer simulations of postural change, water immersion, and bedrest: An integrative approach for understanding the spaceflight response. Physiologist 22(6), S31-S32 (1979).
    • (1979) Physiologist , vol.22 , Issue.6
    • Leonard, J.1    Leach, C.2    Rummel, J.3
  • 31
    • 0026812519 scopus 로고
    • Mathematical modeling of the human response to LBNP
    • Melchior, F., Srinivasan, R., Clère, J.:Mathematical modeling of the human response to LBNP. Physiologist 35(1 Suppl.), S204-S205 (1992).
    • (1992) Physiologist , vol.35 , Issue.1 SUPPL.
    • Melchior, F.1    Srinivasan, R.2    Clère, J.3
  • 32
    • 0028023891 scopus 로고
    • Simulation of cardiovascular response to lower body negative pressure from 0 to -40 mmHg
    • Melchior, F., Srinivasan, R., Thullier, P., Clère, J.: Simulation of cardiovascular response to lower body negative pressure from 0 to -40 mmHg. J. Appl. Physiol. 77(2), 630-640 (1994). (Pubitemid 24258291)
    • (1994) Journal of Applied Physiology , vol.77 , Issue.2 , pp. 630-640
    • Melchior, F.M.1    Srinivasan, R.S.2    Thullier, P.H.3    Clere, J.-M.4
  • 33
    • 0021284516 scopus 로고
    • The surprising heart: A review of recent progress in cardiac electrophysiology
    • Noble, D.: The surprising heart: A review of recent progress in cardiac electrophysiology. J. Physiol. 353, 1-50 (1984). (Pubitemid 14061511)
    • (1984) Journal of Physiology , vol.VOL. 353 , pp. 1-50
    • Noble, D.1
  • 34
    • 28544432134 scopus 로고    scopus 로고
    • Blood pressure and blood flow variation during postural change from sitting to standing: Model development and validation
    • DOI 10.1152/japplphysiol.00177.2005
    • Olufsen, M., Ottesen, J., Tran, H., Ellwein, L., Lipsitz, L., Novak, V.: Blood pressure and blood flow variation during postural change from sitting to standing: Model development and validation. J. Appl. Physiol. 99(4), 1523-1537 (2005). (Pubitemid 43014363)
    • (2005) Journal of Applied Physiology , vol.99 , Issue.4 , pp. 1523-1537
    • Olufsen, M.S.1    Ottesen, J.T.2    Tran, H.T.3    Ellwein, L.M.4    Lipsitz, L.A.5    Novak, V.6
  • 35
    • 0036010516 scopus 로고    scopus 로고
    • Numerical simulation of the influence of gravity and posture on cardiac performance
    • DOI 10.1114/1.1451075
    • Peterson, K., Ozawa, E., Pantalos, G., Sharp, M.: Numerical simulation of the influence of gravity and posture on cardiac performance. Ann. Biomed. Eng. 30(2), 247-259 (2002). (Pubitemid 34325809)
    • (2002) Annals of Biomedical Engineering , vol.30 , Issue.2 , pp. 247-259
    • Peterson, K.1    Ozawa, E.T.2    Pantalos, G.M.3    Sharp, M.K.4
  • 38
    • 0028261193 scopus 로고
    • A comprehensive Guyton model analysis of physiologic responses to preadapting the blood volume as a countermeasure to fluid shifts
    • Simanonok, K., Srinivasan, R.S., Myrick, E., Blomkalns, A., Charles, J.: A comprehensive guyton model analysis of physiologic responses to preadapting the blood volume as a countermeasure to fluid shifts. J. Clin. Pharmacol. 34(5), 440-453 (1994). (Pubitemid 24154148)
    • (1994) Journal of Clinical Pharmacology , vol.34 , Issue.5 , pp. 440-453
    • Simanonok, K.E.1    Srinivasan, R.S.2    Myrick, E.E.3    Blomkalns, A.L.4    Charles, J.B.5
  • 39
    • 0026813961 scopus 로고
    • A computer simulation study of preadaptation of the circulation by removal of different blood volumes to counteract fluid shifts
    • Simanonok, K., Srinivasan, R., Charles, J.: A computer simulation study of preadaptation of the circulation by removal of different blood volumes to counteract fluid shifts. Physiologist 35(1 Suppl.), S111-S112 (1992).
    • (1992) Physiologist , vol.35 , Issue.1 SUPPL.
    • Simanonok, K.1    Srinivasan, R.2    Charles, J.3
  • 40
    • 0023177038 scopus 로고
    • The effect of age on hemodynamic response to graded postural stress in normal men
    • Smith, J., Hughes, C., Ptacin, M., Barney, J., Tristani, F., Ebert, T.J.: The effect of age on hemodynamic response to graded postural stress in normal men. J. Gerontol. 42(4), 406-411 (1987). (Pubitemid 17103782)
    • (1987) Journals of Gerontology , vol.42 , Issue.4 , pp. 406-411
    • Smith, J.J.1    Hughes, C.V.2    Ptacin, M.J.3
  • 41
    • 0014579518 scopus 로고
    • Computer simulation studies of the venous circulation
    • Snyder, M., Rideout, V.: Computer simulation studies of the venous circulation. IEEE Trans. Biomed. Eng. BME-16(4), 325-334 (1969).
    • (1969) IEEE Trans. Biomed. Eng. BME-16 , Issue.4 , pp. 325-334
    • Snyder, M.1    Rideout, V.2
  • 42
    • 0026813476 scopus 로고
    • Computer simulation analysis of the effects of countermeasures for reentry orthostatic intolerance
    • Srinivasan, R., Simanonok, K., Charles, J.: Computer simulation analysis of the effects of countermeasures for reentry orthostatic intolerance. Physiologist 35(1 Suppl.), S165-S168 (1992).
    • (1992) Physiologist , vol.35 , Issue.1 SUPPL.
    • Srinivasan, R.1    Simanonok, K.2    Charles, J.3
  • 43
    • 0027690198 scopus 로고
    • Effects of lower-body negative pressure on blood flow with applications to the human cardiovascular system
    • DOI 10.1007/BF02441803
    • Sud, V., Srinivasan, R., Charles, J., Bungo, M.: Effects of lower body negative pressure on blood flow with applications to the human cardiovascular system. Med. Biol. Eng. Comput. 31(6), 569-575 (1993). (Pubitemid 24013047)
    • (1993) Medical and Biological Engineering and Computing , vol.31 , Issue.6 , pp. 569-575
    • Sud, V.1    Srinivasan, R.2    Charles, J.B.3    Bungo, M.W.4
  • 44
    • 33845992152 scopus 로고    scopus 로고
    • Computer systems analysis of spaceflight induced changes in left ventricular mass
    • DOI 10.1016/j.compbiomed.2006.04.003, PII S0010482506000631
    • Summers, R., Martin, D., Meck, J., Coleman, T.: Computer systems analysis of spaceflight induced changes in left ventricular mass. Comput. Biol. Med. 37(3), 358-363 (2007). (Pubitemid 46048790)
    • (2007) Computers in Biology and Medicine , vol.37 , Issue.3 , pp. 358-363
    • Summers, R.L.1    Martin, D.S.2    Meck, J.V.3    Coleman, T.G.4
  • 46
    • 4043182719 scopus 로고    scopus 로고
    • Computational methods for inverse problems
    • SIAM, Philadelphia
    • Vogel, C.: Computational Methods for Inverse Problems. Frontiers in Applied Mathematics. SIAM, Philadelphia (2002).
    • (2002) Frontiers in Applied Mathematics
    • Vogel, C.1
  • 47
    • 0036095690 scopus 로고    scopus 로고
    • Postspaceflight orthostatic hypotension occurs mostly in women and is predicted by low vascular resistance
    • Waters, W., Ziegler, M., Meck, J.: Postspaceflight orthostatic hypotension occurs mostly in women and is predicted by low vascular resistance. J. Appl. Physiol. 2(92), 596-594 (2002).
    • (2002) J. Appl. Physiol. , vol.2 , Issue.92 , pp. 594-596
    • Waters, W.1    Ziegler, M.2    Meck, J.3
  • 48
    • 0031927553 scopus 로고    scopus 로고
    • Central venous pressure and cardiac function during spaceflight
    • White, R., Blomqvist, C.: Central venous pressure and cardiac function during spaceflight. J. Appl. Physiol. 85(2), 738-746 (1998). (Pubitemid 28365845)
    • (1998) Journal of Applied Physiology , vol.85 , Issue.2 , pp. 738-746
    • White, R.J.1    Blomqvist, C.G.2
  • 49
    • 0001375945 scopus 로고
    • Cardiovascular modelling: Simulating the human response to exercise, lower body negative pressure, zero gravity and clinical conditions
    • Karger, Basel
    • White, R., Fitzjerrell, D., Croston, R.: Cardiovascular modelling: Simulating the human response to exercise, lower body negative pressure, zero gravity and clinical conditions. In: Advances in Cardiovascular Physics, vol. 5 (Part 1), pp. 195-229. Karger, Basel (1983).
    • (1983) Advances in Cardiovascular Physics , vol.5 , Issue.1 , pp. 195-229
    • White, R.1    Fitzjerrell, D.2    Croston, R.3
  • 50
    • 0003205230 scopus 로고
    • Fundamentals of lumped compartmental modelling of the cardiovascular system
    • Karger, Basel
    • White, R., Fitzjerrell, D., Croston, R.: Fundamentals of lumped compartmental modelling of the cardiovascular system. In: Advances in Cardiovascular Physics, vol. 5 (Part 1), pp. 162- 184. Karger, Basel (1983).
    • (1983) Advances in Cardiovascular Physics , vol.5 , Issue.1 , pp. 162-184
    • White, R.1    Fitzjerrell, D.2    Croston, R.3
  • 51
    • 0026411654 scopus 로고
    • Mathematical modeling of acute and chronic cardiovascular changes during extended duration orbiter (EDO) flights
    • White, R., Leonard, J., Srinivasan, R., Charles, J.:Mathematical modeling of acute and chronic cardiovascular changes during extended duration orbiter (EDO) flights. Acta Astronaut. 23, 41-51 (1991).
    • (1991) Acta Astronaut , vol.23 , pp. 41-51
    • White, R.1    Leonard, J.2    Srinivasan, R.3    Charles, J.4
  • 52
    • 84874083737 scopus 로고    scopus 로고
    • SM thesis, Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, MA
    • Zamanian, A.: Modeling and simulating the human cardiovascular response to acceleration. SM thesis, Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, MA (2007).
    • (2007) Modeling and Simulating the Human Cardiovascular Response to Acceleration
    • Zamanian, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.