Skip to main content
Log in

Multiple scales and geometric structures: additional sources of randomness

  • Published:
Journal of Mathematical Biology Aims and scope Submit manuscript

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  • Anderssen B, Capasso V (2008) SSQBM—Pattern Formation and Functional Morphology (PFFM). Personal notes of the debate on “The Turing methodology is the only way to model pattern formation in biology”. RICAM, Linz

  • Bailey NTJ (1975) The Mathematical Theory of Infectious Diseases. Griffin, London

    MATH  Google Scholar 

  • Capasso, V, Periaux J, (eds) (2005) Multidisciplinary Methods for Analysis, Optimization and Control of Complex Systems. Mathematics in Industry, vol 6. Springer, Heidelberg

    Google Scholar 

  • Capasso V, Lachowicz M (Eds) (2008) Multiscale Problems in the Life Sciences. From Microscopic to Macroscopic. Lecture Notes in Mathematics/C.I.M.E., vol 1940. Springer, Heidelberg

  • Capasso V et al (Eds) (1985) Mathematics in Biology and Medicine. Lecture Notes in Biomathematics, vol 57. Springer, Heidelberg

  • Capasso V, Dejana E, Micheletti A (2007) Methods of stochastic geometry, and related statistical problems in the analysis and therapy of tumour growth and tumour-driven angiogenesis. In: Bellomo N, Chaplain M, DeAngelis E (eds) Mathematical Methods in Cancer Diagnosis and Therapy. Birkhauser, Boston

    Google Scholar 

  • Carmeliet P (2005) Angiogenesis in life, disease and medicine. Nature 438: 932–936

    Article  Google Scholar 

  • Chaplain, MAJ (eds) et al (1999) On Growth and Form. Spatio-temporal Pattern Formation in Biology. Wiley, New York

    MATH  Google Scholar 

  • Dryden IL, Mardia KV (1997) The Statistical Analysis of Shape. Wiley, Chichester

    Google Scholar 

  • Durrett R, Levin SA (1994) The importance of being discrete (and spatial). Theor Popul Biol 46: 363–394

    Article  MATH  Google Scholar 

  • Jaeger W (2001) Private discussion about MBIOS, a project of the Ruprecht-Karls-Universitaet, Heidelberg

  • Jagers P (2009) A plea for stochastic population dynamics. J Math Biol (to appear)

  • Levin SA (Ed) (1992) Mathematics and Biology: the interface, challenges and opportunities. Cornell University

  • Murray JD et al (2003) Foreword. In: Sekimura T(eds) Morphogenesis and Pattern Formation in Biological Systems. Springer, Tokyo

    Google Scholar 

  • Murray JD (2002–2003) Mathematical Biology, vol 2, 3rd edn: Mathematical Biology: I. An Introduction. Mathematical Biology: II. Spatial Models and Biomedical Applications. Springer, Heidelberg

  • PITAC Report (2005) Computational Sciences, Ensuring America’s Competitiveness, Executive Office of the President of the United States of America

  • Swanson KR, Alvord EC, Murray JD (2002) Virtual brain tumors (gliomas) enhance the reality of medical imaging and highlight inadequacies of current therapy. Br J Cancer 86:14–18 (Abstracted for inclusion in the 2003 Yearbook of the Institute of Oncology)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Vincenzo Capasso.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Capasso, V. Multiple scales and geometric structures: additional sources of randomness. J. Math. Biol. 59, 143–146 (2009). https://doi.org/10.1007/s00285-009-0272-9

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00285-009-0272-9

Keywords

Navigation