Skip to main content
Top
Published in:
Cover of the book

2015 | OriginalPaper | Chapter

Immune Response Enhancement Strategy via Hybrid Control Perspective

Authors : Hyuk-Jun Chang, Alessandro Astolfi

Published in: Hybrid Systems Biology

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

We investigate a control method for disease dynamics, such as HIV and malaria, to boost the immune response using a model-based approach. In particular we apply the control method to select the appropriate immune response between Th1 and Th2 responses. The idea of state jump is introduced and discussed based on hybrid control systems. To implement the control idea we propose physically available methods for each biological system. The studies on malaria model and HIV model are supported by experimental data.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Footnotes
1
This mechanism is also used for the treatment of chronic myeloid leukaemia (CML) in [6].
 
2
Human malaria is caused by four species of Plasmodium: P. falciparum, P. malariae, P. ovale, and P. vivax [22]. Model 1-5 includes the dynamics between P. vivax, P. falciparum and the immune system.
 
3
The model parameters are based on clinical data, so the state variables in this section represent actual data.
 
4
Besides immunotherapy, bee venom are currently used in clinical cases. Experimental results of [20] are one example.
 
5
Th stands for T-helper. Th1 and Th2 are two types of T-helper cells.
 
6
Immune response to intracellular pathogens tends to induce Th1 dominance and resultant cellular cytolytic activity, although immune response to extracellular infection is often dominated by Th2 response, which lead to high levels of pathogen-specific immunoglobulins [2].
 
7
The reason why the switch Th1-Th2 is guaranteed but the switch Th2-Th1 is not with the current parameters will be discussed in Sect. 5.
 
8
The model parameters are normalised, so the state variables in this section do not represent actual data.
 
9
In [5, 7, 33] control of the drug dose is exploited so that the inequality is achieved.
 
10
Alternatively impulsive input can be modeled by a Dirac delta function as in [28].
 
Literature
1.
go back to reference Adams, B.M., Banks, H.T., Kwon, H., Tran, H.T.: Dynamic multidrug therapies for HIV: optimal and STI control approaches. Math. Biosci. Eng. 1, 223–241 (2004)MathSciNetCrossRefMATH Adams, B.M., Banks, H.T., Kwon, H., Tran, H.T.: Dynamic multidrug therapies for HIV: optimal and STI control approaches. Math. Biosci. Eng. 1, 223–241 (2004)MathSciNetCrossRefMATH
2.
go back to reference Bergmann, C., van Hemmen, J.L., Segel, L.E.: Th1 or Th2: How an appropriate T helper response can be made. Bull. Math. Biol. 63, 405–430 (2001)CrossRefMATH Bergmann, C., van Hemmen, J.L., Segel, L.E.: Th1 or Th2: How an appropriate T helper response can be made. Bull. Math. Biol. 63, 405–430 (2001)CrossRefMATH
3.
go back to reference Bergmann, C., van Hemmen, J.L., Segel, L.E.: How instruction and feedback can select the appropriate T helper response. Bull. Math. Biol. 64, 425–446 (2002)CrossRefMATH Bergmann, C., van Hemmen, J.L., Segel, L.E.: How instruction and feedback can select the appropriate T helper response. Bull. Math. Biol. 64, 425–446 (2002)CrossRefMATH
4.
go back to reference Brandt, M.E., Chen, G.: Feedback control of a biodynamical model of HIV-1. IEEE Trans. Biomed. Eng. 48(7), 754–759 (2001)CrossRef Brandt, M.E., Chen, G.: Feedback control of a biodynamical model of HIV-1. IEEE Trans. Biomed. Eng. 48(7), 754–759 (2001)CrossRef
5.
go back to reference Chang, H., Astolfi, A.: Activation of immune response in disease dynamics via controlled drug scheduling. IEEE Trans. Autom. Sci. Eng. 6, 248–255 (2009)CrossRef Chang, H., Astolfi, A.: Activation of immune response in disease dynamics via controlled drug scheduling. IEEE Trans. Autom. Sci. Eng. 6, 248–255 (2009)CrossRef
6.
go back to reference Chang, H., Astolfi, A.: Enhancement of the immune response to chronic myeloid leukaemia via controlled treatment scheduling. In: Proceedings of the of 31st Annual EMBS International Conference, pp. 3889–3892 (2009) Chang, H., Astolfi, A.: Enhancement of the immune response to chronic myeloid leukaemia via controlled treatment scheduling. In: Proceedings of the of 31st Annual EMBS International Conference, pp. 3889–3892 (2009)
7.
go back to reference Chang, H., Astolfi, A.: Control of HIV infection dynamics: Approximating high-order dynamics by adapting reduced-order model parameters. IEEE Control Syst. Mag. 28, 28–39 (2008)MathSciNetCrossRef Chang, H., Astolfi, A.: Control of HIV infection dynamics: Approximating high-order dynamics by adapting reduced-order model parameters. IEEE Control Syst. Mag. 28, 28–39 (2008)MathSciNetCrossRef
8.
go back to reference Chang, H., Astolfi, A., Shim, H.: A control theoretic approach to venom immunotherapy with state jumps. In: 2010 Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), pp. 742–745, August 2010 Chang, H., Astolfi, A., Shim, H.: A control theoretic approach to venom immunotherapy with state jumps. In: 2010 Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), pp. 742–745, August 2010
9.
go back to reference Chang, H., Astolfi, A., Shim, H.: A control theoretic approach to malaria immunotherapy with state jumps. Automatica 47(6), 1271–1277 (2011). Special Issue on Systems BiologyMathSciNetCrossRefMATH Chang, H., Astolfi, A., Shim, H.: A control theoretic approach to malaria immunotherapy with state jumps. Automatica 47(6), 1271–1277 (2011). Special Issue on Systems BiologyMathSciNetCrossRefMATH
10.
go back to reference Chang, H., Moog, C.H., Astolfi, A., Rivadeneira, P.S.: A control systems analysis of HIV prevention model using impulsive input. Biomed. Sign. Process. Control 13, 123–131 (2014)CrossRef Chang, H., Moog, C.H., Astolfi, A., Rivadeneira, P.S.: A control systems analysis of HIV prevention model using impulsive input. Biomed. Sign. Process. Control 13, 123–131 (2014)CrossRef
11.
go back to reference Ge, S.S., Tian, Z., Lee, T.H.: Nonlinear control of a dynamic model of HIV-1. IEEE Trans. Biomed. Eng. 52(3), 353–361 (2005)CrossRef Ge, S.S., Tian, Z., Lee, T.H.: Nonlinear control of a dynamic model of HIV-1. IEEE Trans. Biomed. Eng. 52(3), 353–361 (2005)CrossRef
12.
go back to reference Gibaldi, M., Perrier, D.: Drugs and the Pharmaceutical Sciences, vol. 1: Pharmacokinetics. Marcel Dekker Inc, New York (1975) Gibaldi, M., Perrier, D.: Drugs and the Pharmaceutical Sciences, vol. 1: Pharmacokinetics. Marcel Dekker Inc, New York (1975)
14.
go back to reference David, B.K.: Golden. Insect sting allergy and venom immunotherapy: A model and a mystery. J. Allergy Clin. Immunol. 115(3), 439–447 (2005)CrossRef David, B.K.: Golden. Insect sting allergy and venom immunotherapy: A model and a mystery. J. Allergy Clin. Immunol. 115(3), 439–447 (2005)CrossRef
15.
go back to reference Grant, R.M., Lama, J.R., Anderson, P.L., McMahan, V., Liu, A.Y., Vargas, L., Goicochea, P., et al.: Preexposure chemoprophylaxis for HIV prevention in men who have sex with men. New Engl. J. Med. 363(27), 2587–2599 (2010)CrossRef Grant, R.M., Lama, J.R., Anderson, P.L., McMahan, V., Liu, A.Y., Vargas, L., Goicochea, P., et al.: Preexposure chemoprophylaxis for HIV prevention in men who have sex with men. New Engl. J. Med. 363(27), 2587–2599 (2010)CrossRef
16.
go back to reference Gurarie, D., McKenzie, F.E.: Dynamics of immune response and drug resistance in malaria infection. Malaria J. 5(1), 86 (2006)CrossRef Gurarie, D., McKenzie, F.E.: Dynamics of immune response and drug resistance in malaria infection. Malaria J. 5(1), 86 (2006)CrossRef
17.
go back to reference Gurarie, D., Zimmerman, P.A., King, C.H.: Dynamic regulation of single-and mixed-species malaria infection: insights to specific and non-specific mechanisms of control. J. Theor. Biol. 240(2), 185–199 (2006)MathSciNetCrossRef Gurarie, D., Zimmerman, P.A., King, C.H.: Dynamic regulation of single-and mixed-species malaria infection: insights to specific and non-specific mechanisms of control. J. Theor. Biol. 240(2), 185–199 (2006)MathSciNetCrossRef
18.
go back to reference Jackson, A., Moyle, G., Watson, V., Tjia, J., Ammara, A., Back, D., Mohabeer, M., Gazzard, B., Boffito, M.: Tenofovir, emtricitabine intracellular and plasma, and efavirenz plasma concentration decay following drug intake cessation: implications for HIV treatment and prevention. JAIDS, Publish Ahead of Print (2013) Jackson, A., Moyle, G., Watson, V., Tjia, J., Ammara, A., Back, D., Mohabeer, M., Gazzard, B., Boffito, M.: Tenofovir, emtricitabine intracellular and plasma, and efavirenz plasma concentration decay following drug intake cessation: implications for HIV treatment and prevention. JAIDS, Publish Ahead of Print (2013)
19.
go back to reference Jilek, B.L., Zarr, M., Sampah, M.E., Rabi, S.A., Bullen, C.K., Lai, J., Shen, L., Siliciano, R.F.: A quantitative basis for antiretroviral therapy for HIV-1 infection. Nature Med. 18, 446–451 (2012)CrossRef Jilek, B.L., Zarr, M., Sampah, M.E., Rabi, S.A., Bullen, C.K., Lai, J., Shen, L., Siliciano, R.F.: A quantitative basis for antiretroviral therapy for HIV-1 infection. Nature Med. 18, 446–451 (2012)CrossRef
20.
go back to reference Kim, K.-W., Shin, Y.-S., Kim, K.-S., Chang, Y.-C., Park, K.-K., Park, J.-B., Choe, J.-Y., Lee, K.-G., Kang, M.-S., Park, Y.-G., Kim, C.-H.: Suppressive effects of bee venom on the immune responses in collagen-induced arthritis in rats. Phytomedicine 15(12), 1099–1107 (2008)CrossRef Kim, K.-W., Shin, Y.-S., Kim, K.-S., Chang, Y.-C., Park, K.-K., Park, J.-B., Choe, J.-Y., Lee, K.-G., Kang, M.-S., Park, Y.-G., Kim, C.-H.: Suppressive effects of bee venom on the immune responses in collagen-induced arthritis in rats. Phytomedicine 15(12), 1099–1107 (2008)CrossRef
21.
go back to reference Mason, D.P., McKenzie, F.E.: Blood-stage dynamics and clinical implications of mixed Plasmodium vivax-Plasmodium falciparum infections. Am. J. Trop Med. Hyg. 61(3), 367–374 (1999)CrossRef Mason, D.P., McKenzie, F.E.: Blood-stage dynamics and clinical implications of mixed Plasmodium vivax-Plasmodium falciparum infections. Am. J. Trop Med. Hyg. 61(3), 367–374 (1999)CrossRef
22.
go back to reference Mason, D.P., McKenzie, F.E., Bossert, W.H.: The blood-stage dynamics of mixed Plasmodium malariae-Plasmodium falciparum infections. J. Theor. Biol. 198(4), 549–566 (1999)CrossRef Mason, D.P., McKenzie, F.E., Bossert, W.H.: The blood-stage dynamics of mixed Plasmodium malariae-Plasmodium falciparum infections. J. Theor. Biol. 198(4), 549–566 (1999)CrossRef
23.
go back to reference McQueen, P.G., McKenzie, F.E.: Host control of malaria infections: Constraints on immune and erythropoeitic response kinetics. PLoS Comput. Biol. 4, e1000149 (2008)MathSciNetCrossRef McQueen, P.G., McKenzie, F.E.: Host control of malaria infections: Constraints on immune and erythropoeitic response kinetics. PLoS Comput. Biol. 4, e1000149 (2008)MathSciNetCrossRef
24.
go back to reference Mhawej, M., Moog, C.H., Biafore, F., Brunet-François, C.: Control of the HIV infection and drug dosage. Biomed. Sign. Process. Control 5(1), 45–52 (2010)CrossRef Mhawej, M., Moog, C.H., Biafore, F., Brunet-François, C.: Control of the HIV infection and drug dosage. Biomed. Sign. Process. Control 5(1), 45–52 (2010)CrossRef
25.
go back to reference Nowak, M.A., May, R.M.: Virus Dynamics. Oxford University Press, New York (2000)MATH Nowak, M.A., May, R.M.: Virus Dynamics. Oxford University Press, New York (2000)MATH
26.
go back to reference Recker, M., Nee, S., Bull, P.C., Kinyanjui, S., Marsh, K., Newbold, C., Gupta, S.: Transient cross-reactive immune responses can orchestrate antigenic variation in malaria. Nature 429(6991), 555–558 (2004)CrossRef Recker, M., Nee, S., Bull, P.C., Kinyanjui, S., Marsh, K., Newbold, C., Gupta, S.: Transient cross-reactive immune responses can orchestrate antigenic variation in malaria. Nature 429(6991), 555–558 (2004)CrossRef
27.
go back to reference Richter, J., Metzner, G., Behn, U.: Mathematical modelling of venom immunotherapy. J. Theor. Med. 4, 119–132 (2002)CrossRefMATH Richter, J., Metzner, G., Behn, U.: Mathematical modelling of venom immunotherapy. J. Theor. Med. 4, 119–132 (2002)CrossRefMATH
28.
go back to reference Rivadeneira, P.S., Moog, C.H.: Impulsive control of single-input nonlinear systems with application to HIV dynamics. Appl. Math. Comput. 218(17), 8462–8474 (2012)MathSciNetCrossRefMATH Rivadeneira, P.S., Moog, C.H.: Impulsive control of single-input nonlinear systems with application to HIV dynamics. Appl. Math. Comput. 218(17), 8462–8474 (2012)MathSciNetCrossRefMATH
29.
go back to reference Roestenberg, M., McCall, M., Hopman, J., et al.: Protection against a malaria challenge by sporozoite inoculation. N. Engl. J. Med. 361(5), 468–477 (2009)CrossRef Roestenberg, M., McCall, M., Hopman, J., et al.: Protection against a malaria challenge by sporozoite inoculation. N. Engl. J. Med. 361(5), 468–477 (2009)CrossRef
30.
go back to reference Rowland, M., Tozer, T.: Clinical Pharmacokinetics: Concepts and Applications. Lea & Febiger, Philadelphia (1980) Rowland, M., Tozer, T.: Clinical Pharmacokinetics: Concepts and Applications. Lea & Febiger, Philadelphia (1980)
31.
go back to reference Sampah, M.E.S., Shen, L., Jilek, B.L., Siliciano, R.F.: Dose-response curve slope is a missing dimension in the analysis of HIV-1 drug resistance. Proc. Natl. Acad. Sci. 108(18), 7613–7618 (2011)CrossRef Sampah, M.E.S., Shen, L., Jilek, B.L., Siliciano, R.F.: Dose-response curve slope is a missing dimension in the analysis of HIV-1 drug resistance. Proc. Natl. Acad. Sci. 108(18), 7613–7618 (2011)CrossRef
32.
go back to reference Shen, L., Peterson, S., Sedaghat, A.R., McMahon, M.A., Callender, M., Zhang, H., Zhou, Y., Pitt, E., Anderson, K.S., Acosta, E.P., Siliciano, R.F.: Dose-response curve slope sets class-specific limits on inhibitory potential of anti-HIV drugs. Nature Med. 14, 762–766 (2008)CrossRef Shen, L., Peterson, S., Sedaghat, A.R., McMahon, M.A., Callender, M., Zhang, H., Zhou, Y., Pitt, E., Anderson, K.S., Acosta, E.P., Siliciano, R.F.: Dose-response curve slope sets class-specific limits on inhibitory potential of anti-HIV drugs. Nature Med. 14, 762–766 (2008)CrossRef
33.
go back to reference Shim, H., Jo, N.H., Chang, H., Seo, J.H.: A system theoretic study on a treatment of AIDS patient by achieving long-term non-progressor. Automatica 45, 611–622 (2009)MathSciNetCrossRefMATH Shim, H., Jo, N.H., Chang, H., Seo, J.H.: A system theoretic study on a treatment of AIDS patient by achieving long-term non-progressor. Automatica 45, 611–622 (2009)MathSciNetCrossRefMATH
34.
go back to reference UNAIDS, T.W.H. Organization. AIDS epidemic update: 2010. UNAIDS, Geneva (2010) UNAIDS, T.W.H. Organization. AIDS epidemic update: 2010. UNAIDS, Geneva (2010)
35.
go back to reference Wodarz, D.: Helper-dependent vs. helper-independent CTL responses in HIV infection. J. Theor. Biol. 213, 447–459 (2001)CrossRef Wodarz, D.: Helper-dependent vs. helper-independent CTL responses in HIV infection. J. Theor. Biol. 213, 447–459 (2001)CrossRef
36.
go back to reference Wodarz, D., Nowak, M.A.: Specific therapy regimes could lead to long-term immunological control of HIV. Proc. Natl. Acad. Sci. 96(25), 14464–14469 (1999)CrossRef Wodarz, D., Nowak, M.A.: Specific therapy regimes could lead to long-term immunological control of HIV. Proc. Natl. Acad. Sci. 96(25), 14464–14469 (1999)CrossRef
37.
go back to reference Wodarz, D., May, R.M., Nowak, M.A.: The role of antigen-independent persistence of memory cytotoxic T lymphocytes. Int. Immunol. 12(4), 467–477 (2000)CrossRef Wodarz, D., May, R.M., Nowak, M.A.: The role of antigen-independent persistence of memory cytotoxic T lymphocytes. Int. Immunol. 12(4), 467–477 (2000)CrossRef
38.
go back to reference World Health Organization Expert Committee on Malaria. 20th Report. WHO Regional Office for Africa (2003) World Health Organization Expert Committee on Malaria. 20th Report. WHO Regional Office for Africa (2003)
39.
go back to reference Zurakowski, R., Teel, A.R.: A model predictive control based scheduling method for HIV therapy. J. Theor. Biol. 238, 368–382 (2006)MathSciNetCrossRef Zurakowski, R., Teel, A.R.: A model predictive control based scheduling method for HIV therapy. J. Theor. Biol. 238, 368–382 (2006)MathSciNetCrossRef
Metadata
Title
Immune Response Enhancement Strategy via Hybrid Control Perspective
Authors
Hyuk-Jun Chang
Alessandro Astolfi
Copyright Year
2015
DOI
https://doi.org/10.1007/978-3-319-27656-4_1

Premium Partner