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Volumn 11, Issue 3, 2010, Pages 1249-1257

A prototype compartmental model of blood pressure distribution

Author keywords

Almost periodicity; Blood pressure distribution model; Compartments; Eventually periodic solutions; Periodicity; Positiveness; Stability

Indexed keywords

ALMOST PERIODIC; ALMOST PERIODICITY; APPLIED MATHEMATICS; ATLANTA; BIOLOGY AND MEDICINE; BOUNDED SOLUTION; COMPARTMENTAL ANALYSIS; COMPARTMENTAL MODEL; COMPARTMENTAL MODELING; ELSEVIER; EVENTUALLY PERIODIC SOLUTIONS; HEART CONTRACTION; MATHEMATICAL METHOD; NEW YORK; NUMERICAL SIMULATION; ON DYNAMICS; PERIODIC SOLUTION; POSITIVE NUMBERS; SINGAPORE; SYSTEM OF DIFFERENTIAL EQUATIONS;

EID: 77950916387     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2009.02.015     Document Type: Article
Times cited : (10)

References (30)
  • 1
    • 0032160367 scopus 로고    scopus 로고
    • Gain-induced oscillations in blood pressure
    • Abbiw-Jackson R.M., and Langford W.F. Gain-induced oscillations in blood pressure. J. Math. Biol. 37 (1998) 203-234
    • (1998) J. Math. Biol. , vol.37 , pp. 203-234
    • Abbiw-Jackson, R.M.1    Langford, W.F.2
  • 2
    • 77950917736 scopus 로고    scopus 로고
    • M.U. Akhmet, G.A. Bekmukhambetova, and Y. Serinagaoglu, Regular and irregular discontinuous dynamics of the systemic arterial pressure, in: Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2005, 16-20 August, Rodos, 2005, pp. 44-46
    • M.U. Akhmet, G.A. Bekmukhambetova, and Y. Serinagaoglu, Regular and irregular discontinuous dynamics of the systemic arterial pressure, in: Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2005, 16-20 August, Rodos, 2005, pp. 44-46
  • 3
    • 0004442168 scopus 로고    scopus 로고
    • Cardiac arrhythmias and circle mappings
    • V.I. Arnold, Cardiac arrhythmias and circle mappings, Chaos 1, pp. 20-24
    • Chaos , vol.1 , pp. 20-24
    • Arnold, V.I.1
  • 4
    • 77950916452 scopus 로고
    • World Scientific Publishing Co., Singapore
    • Bellman R. Mathematical Mmethods in Medicine. Series in Modern Applied Mathematics vol. 1 (1983), World Scientific Publishing Co., Singapore
    • (1983) Series in Modern Applied Mathematics , vol.1
    • Bellman, R.1
  • 5
    • 0030272423 scopus 로고    scopus 로고
    • Modelling cardiovascular variability using differential delay equation
    • Cavalcanti A., and Belardinelli E. Modelling cardiovascular variability using differential delay equation. IEEE Trans. Biomed. Eng. 43 (1996) 982
    • (1996) IEEE Trans. Biomed. Eng. , vol.43 , pp. 982
    • Cavalcanti, A.1    Belardinelli, E.2
  • 7
    • 0001823870 scopus 로고    scopus 로고
    • Cardiac arrhythmias and circle maps -A classical problem
    • L. Glass, Cardiac arrhythmias and circle maps -A classical problem, Chaos 1, pp. 13-19
    • Chaos , vol.1 , pp. 13-19
    • Glass, L.1
  • 9
    • 1942452856 scopus 로고    scopus 로고
    • A mathematical analysis for the cardiovascular control adaptations in chronic renal failure
    • Lerma C., Minzoni A., Infante O., and Jose M.V. A mathematical analysis for the cardiovascular control adaptations in chronic renal failure. Artificial Organs 28 4 (2004) 398-409
    • (2004) Artificial Organs , vol.28 , Issue.4 , pp. 398-409
    • Lerma, C.1    Minzoni, A.2    Infante, O.3    Jose, M.V.4
  • 10
    • 77951409393 scopus 로고
    • The relation of pulsative pressure to flow in arteries
    • McDonald D.A. The relation of pulsative pressure to flow in arteries. J. Physiol. 127 3 (1955) 533-552
    • (1955) J. Physiol. , vol.127 , Issue.3 , pp. 533-552
    • McDonald, D.A.1
  • 12
    • 0031267418 scopus 로고    scopus 로고
    • Modelling of the baroreflex-feedback mechanism with time-delay
    • Ottesen J.T. Modelling of the baroreflex-feedback mechanism with time-delay. J. Math. Biol. 36 (1997) 41-63
    • (1997) J. Math. Biol. , vol.36 , pp. 41-63
    • Ottesen, J.T.1
  • 14
    • 0034876842 scopus 로고    scopus 로고
    • Modeling couplings among the oscillators of the cardiovascular system
    • Stefanovska A., Luchinsky D.G., and McClintock P. Modeling couplings among the oscillators of the cardiovascular system. Physiol. Meas. 22 (2001) 551-564
    • (2001) Physiol. Meas. , vol.22 , pp. 551-564
    • Stefanovska, A.1    Luchinsky, D.G.2    McClintock, P.3
  • 15
    • 0019549139 scopus 로고
    • Compartmental systems with pipes
    • Gyori I., and Eller J. Compartmental systems with pipes. Math. Biosci. 53 (1981) 223-247
    • (1981) Math. Biosci. , vol.53 , pp. 223-247
    • Gyori, I.1    Eller, J.2
  • 19
    • 0017098441 scopus 로고
    • Cellular systems, II. Stability of compartmental systems
    • Ladde G.S. Cellular systems, II. Stability of compartmental systems. Math. Biosci. 30 (1976) 1-21
    • (1976) Math. Biosci. , vol.30 , pp. 1-21
    • Ladde, G.S.1
  • 21
    • 0345273116 scopus 로고
    • Matis J.M., Patten B.C., and White G.C. (Eds), International Cooperative Pub. House
    • In: Matis J.M., Patten B.C., and White G.C. (Eds). Compartmental Analysis of Ecosystem Models (1979), International Cooperative Pub. House
    • (1979) Compartmental Analysis of Ecosystem Models
  • 24
    • 9344250588 scopus 로고    scopus 로고
    • Perturbations and Hopf bifurcation of the planar discontinuous dynamical system
    • Akhmet M.U. Perturbations and Hopf bifurcation of the planar discontinuous dynamical system. Nonlinear Anal. 60 (2005) 163-178
    • (2005) Nonlinear Anal. , vol.60 , pp. 163-178
    • Akhmet, M.U.1
  • 25
    • 56449095937 scopus 로고
    • Almost-periodic solutions of differential equations with impulse action, Akad. Nauk Ukrain. SSR Inst., Mat
    • Preprint (26, ) 49 pp in Russian
    • M.U. Akhmetov, N.A. Perestyuk, A.M. Samoilenko, Almost-periodic solutions of differential equations with impulse action, Akad. Nauk Ukrain. SSR Inst., Mat. Preprint (26) (1983) 49 pp (in Russian)
    • (1983)
    • Akhmetov, M.U.1    Perestyuk, N.A.2    Samoilenko, A.M.3
  • 26
    • 0009231649 scopus 로고
    • Periodic and almost periodic solutions of strongly nonlinear impulse systems
    • Akhmetov M., and Perestyuk N. Periodic and almost periodic solutions of strongly nonlinear impulse systems. J. Appl. Math. Mech. 56 (1992) 829-837
    • (1992) J. Appl. Math. Mech. , vol.56 , pp. 829-837
    • Akhmetov, M.1    Perestyuk, N.2
  • 30
    • 77950916746 scopus 로고    scopus 로고
    • On modeling of blood pressure distribution
    • Proceedings of the Fifth International Conference on Dynamic Systems and Applications held at Morehouse College, Atlanta, USA, May 30-June 2, 2007
    • Akhmet M.U., and Bekmukhambetova G. On modeling of blood pressure distribution. Proceedings of the Fifth International Conference on Dynamic Systems and Applications held at Morehouse College, Atlanta, USA, May 30-June 2, 2007. Proc. Dyn. Syst. Appl. 5 (2008) 17-20
    • (2008) Proc. Dyn. Syst. Appl. , vol.5 , pp. 17-20
    • Akhmet, M.U.1    Bekmukhambetova, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.