Skip to main content

A Visual Feedback Control Framework Oriented to Lung Branching Pattern Formation Simulation

  • Conference paper
  • First Online:
Proceedings of the 2015 Chinese Intelligent Automation Conference

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 337))

  • 1266 Accesses

Abstract

Mathematical modeling based on reaction-diffusion partial differential equations, is a well-known way to study the mechanism of lung branching pattern formation. However, model parameter identification is one of the key problems in the research, which is both labor-intensive and of low efficiency. To work out this problem, a visual feedback control framework is proposed in this paper. The framework based on automatic control theory is built, by means of pattern feature feedback, to identify model parameters. The results suggest that this framework is effective and feasible.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Cardoso WV (1995) Transcription factors and pattern formation in the developing lung. Am J Physiol Lung Cell Mol Physiol 13(4):L429

    Google Scholar 

  2. Warburton D, El-Hashash A, Carraro G, Tiozzo C, Sala F, Rogers O, Jesudason E (2010) Chapter three-lung organogenesis. Curr Top Dev Biol 90:73–158

    Article  Google Scholar 

  3. Warburton D, Schwarz M, Tefft D, Flores-Delgado G, Anderson KD, Cardoso WV (2000) The molecular basis of lung morphogenesis. Mech Dev 92(1):55–81

    Article  Google Scholar 

  4. Turing AM (1952) The chemical basis of morphogenesis. Philos Trans R Soc Lond B Biol Sci 237(641):37–72

    Article  Google Scholar 

  5. Gierer A, Meinhardt H (1972) A theory of biological pattern formation. Kybernetik 12(1):30–39

    Article  Google Scholar 

  6. Bard JB (1981) A model for generating aspects of zebra and other mammalian coat patterns. J Theor Biol 93(2):363–385

    Article  MathSciNet  Google Scholar 

  7. Garfinkel A, Tintut Y, Petrasek D, Boström K, Demer LL (2004) Pattern formation by vascular mesenchymal cells. Proc Natl Acad Sci USA 101(25):9247–9250

    Article  Google Scholar 

  8. Meinhardt H, Klinger M (1987) A model for pattern formation on the shells of molluscs. J Theoret Biol 126(1):63–69

    Article  Google Scholar 

  9. Nijhout HF (1980) Pattern formation on lepidopteran wings: determination of an eyespot. Dev Biol 80(2):267–274

    Article  Google Scholar 

  10. Guo Y, Chen TH, Zeng X, Warburton D, Boström KI, Ho CM, Garfinkel A (2014) Branching patterns emerge in a mathematical model of the dynamics of lung development. J Physiol 592(2):313–324

    Article  Google Scholar 

  11. Yao Y, Nowak S, Yochelis A, Garfinkel A, Boström KI (2007) Matrix GLA protein, an inhibitory morphogen in pulmonary vascular development. J Biol Chem 282(41):30131–30142

    Article  Google Scholar 

  12. Kondo S (2009) How animals get their skin patterns: fish pigment pattern as a live Turing wave. In: Systems biology, Springer, Japan, pp 37–46

    Google Scholar 

  13. Maini P, Paintera K, Chau HP (1997) Spatial pattern formation in chemical and biological systems. J Chem Soc Faraday Trans 93(20):3601–3610

    Article  Google Scholar 

  14. Vanag VK, Epstein IR (2009) Pattern formation mechanisms in reaction-diffusion systems. Int J Dev Biol 53(5):673

    Article  Google Scholar 

  15. Storn R, Price K (1997) Differential evolution-a simple and efficient heuristic for global optimization over continuous spaces. J Global Optim 11(4):341–359

    Article  MATH  MathSciNet  Google Scholar 

Download references

Acknowledgments

This research is supported by Tianjin Research Program of Application Foundation and Advanced Technology (14JCQNJC04700), National Natural Science Foundation of China (NSFC: 61105107, 61327802, 61273341), the Research Fund for Doctoral Program of Higher Education of China (Grant No. 2011003111032), and the State Key Laboratory of Robotics (2013-O03).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mingzhu Sun .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Xu, H., Sun, M., Han, J., Zhao, X. (2015). A Visual Feedback Control Framework Oriented to Lung Branching Pattern Formation Simulation. In: Deng, Z., Li, H. (eds) Proceedings of the 2015 Chinese Intelligent Automation Conference. Lecture Notes in Electrical Engineering, vol 337. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46463-2_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-46463-2_6

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-46462-5

  • Online ISBN: 978-3-662-46463-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics