Sage Journals: Discover world-class research

Abstract

In view of the blood circulation network model that reflects the system performance with difficulty. According to blood circulation network branch flow quantity and pressure mutual influence hemodynamic characteristic, utilize Kirchhoff’s current and voltage laws, graph theoretic concepts and hemodynamic equations of individual branches, establishes the multivariable nonlinear minimal model. Decentralized and adaptive controller design based on the minimal model, we solve a decentralized and adaptive nonlinear control problem where actuator valves and flow rate sensors are collocated in individual branches and do not exchange information. We solve the tracking (time varying reference signals) problems. Through cerebral circulation network simulation, it can realize the control process from pathology to normal, provides the basic theories to treatment and method of the diseases about the cerebral circulation.

Keywords

Blood circulation multivariable nonlinear minimal model decentralized adaptive control cerebral circulation

Get full access to this article

View all access options for this article.

References

Zhengzhong

, Brain circulation and clinical, Shanghai Science and technology Publishing house, Shanghai, 1983.

Horwitz

, Diseases of Blood Vessels, Ph. D. Thesis, Philadelphia: Lea & Febiger, 1985.

Schmid-Schijnbein

G.W.

, Boimechanics of microcirculatory blood perfusion, Annu Rev Biomed Eng (1999), 73–102.

Fung

Y.C.

, Biomechanics: Circulation, 2nd ed, Springer-Verlag, 1997.

Koroleva

O.L.

and Krstic

, Averaging analysis of periodically forced Fluid flow networks, Automatica9(41) (2005), 129–135.

Koroleva

O.I.

, Krstić

and Geert

, Schmid-Schönbein, Decentralized and adaptive control of nonlinear fluid flow networks, International Journal of Control79(12) (2006), 1495–1504.

Desoer

C.A.

and Kuh

E.S.

, Basic Circuit Theory, McGraw-Hill Book Company, New York, USA, 1969.

Horn

R.A.

and Johnson

C.R.

, Matrix Analysis, Cambridge University Press, New York, USA, 1985.

Khalil

H.K.

, Nonlinear Systems, 3rd ed, Prentice Hall, 2002.

10.

, Koroleva

O.I.

and Krstic

, Nonlinear control of mine ventilation networks, Systems and Control Letters49(4) (2003), 239–254.

11.

Ding

G.H.

, Wang

G.Q.

and Wang

, Hemodynamics of cerebral circulation and its application in cerebrovascular disease, Chinese J of Neurology and Psyehiatry28 (1995), 2–23.

12.

Guang-Hong

, Wei

and Yan-Bo

, etc, A hemodynmic model and a mathematical method to calculate the dynamics index for cerebral circulation, Journal of Hydrodynamics, Ser. B04 (1997), 71–78.

13.

Hillen

, et al., A mathematical model of the flow in the Circle of Willis, J Biomechanics19(3) (1986), 187–194.

14.

Hillen

, et al., Analysis of flow and vascular resistance in a model of the circle of Willis, J Biomechanics21(10) (1988), 807–814.

15.

Clark

, et al., Simulation studies of factors influencing the cerebral circulation, Acta Neurol Scand43 (1967), 189–200.

16.

Changqing

and Weiwei

, Clinical efficacy of phenytoin and its effect on cerebral hemodynamics in patients with acute cerebral infarction, Srtoke and Nervous Diseases502(4) (199), 182–184.

17.

Jianhua

, Changes of cerebrovascular dynamic indices and protective effect of tetramethylpyrazine on ischemic cerebral damage in patients with acute infarction, Chinese Journal of Integrated Traditional and Western Medicine in Intentire Critical Care7 (2005), 248–250.

Blood circulation diseases treatment based on decentralized adaptive control

Abstract

Keywords

Get full access to this article

References