Coupled Mathematical Models for Physical and Biological Nanoscale Systems and Their Applications

Banff International Research Station, Banff, Canada, 28 August - 2 September 2016

  • Luis L. Bonilla
  • Efthimios Kaxiras
  • Roderick Melnik
Conference proceedings BIRS-16w5069 2016

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 232)

Table of contents

  1. Front Matter
    Pages i-x
  2. Charge and Spin Transport in Low-Dimensional Structures

  3. Modeling Biological Phenomena from Nano- to Macro-scales

    1. Front Matter
      Pages 95-95
    2. Luis L. Bonilla, M. Carretero, F. Terragni
      Pages 97-116
    3. A. Carpio, E. Cebrián, D. R. Espeso, P. Vidal
      Pages 117-135
    4. John C. Neu, Akhil Ghanta, Stephen W. Teitsworth
      Pages 153-167
  4. Mathematics for 2D Materials and Properties of Confined Nanostructures

    1. Front Matter
      Pages 169-169
    2. Da Guo, Daniel Brinkman, Abdul R. Shaik, I. Sankin, D. Krasikov, Christian Ringhofer et al.
      Pages 187-213
    3. Stephen Carr, Daniel Massatt, Shiang Fang, Paul Cazeaux, Mitchell Luskin, Efthimios Kaxiras
      Pages 245-265
    4. Jordane Preto, Francesco Gentile, Philip Winter, Cassandra Churchill, Sara Ibrahim Omar, Jack A. Tuszynski
      Pages 267-285

About these proceedings


This volume gathers selected contributions from the participants of the Banff International Research Station (BIRS) workshop Coupled Mathematical Models for Physical and Biological Nanoscale Systems and their Applications, who explore various aspects of the analysis, modeling and applications of nanoscale systems, with a particular focus on low dimensional nanostructures and coupled mathematical models for their description.

Due to the vastness, novelty and complexity of the interfaces between mathematical modeling and nanoscience and nanotechnology, many important areas in these disciplines remain largely unexplored. In their efforts to move forward, multidisciplinary research communities have come to a clear understanding that, along with experimental techniques, mathematical modeling and analysis have become crucial to the study, development and application of systems at the nanoscale.

The conference, held at BIRS in autumn 2016, brought together experts from three different communities working in fields where coupled mathematical models for nanoscale and biosystems are especially relevant: mathematicians, physicists (both theorists and experimentalists), and computational scientists, including those dealing with biological nanostructures. Its objectives: summarize the state-of-the-art; identify and prioritize critical problems of major importance that require solutions; analyze existing methodologies; and explore promising approaches to addressing the challenges identified.

The contributions offer up-to-date introductions to a range of topics in nano and biosystems, identify important challenges, assess current methodologies and explore promising approaches. As such, this book will benefit researchers in applied mathematics, as well as physicists and biologists interested in coupled mathematical models and their analysis for physical and biological nanoscale systems that concern applications in biotechnology and medicine, quantum information processing and optoelectronics.


mathematical modeling semiconductor nanostructures piezoelectric semiconductors two-dimensional materials complressed modes nonequilibrium multiscale systems mechanics of biofilms viomolecules tumor-induced angiogenesis

Editors and affiliations

  • Luis L. Bonilla
    • 1
  • Efthimios Kaxiras
    • 2
  • Roderick Melnik
    • 3
  1. 1.Department of Materials Science and Engineering and G. Millan InstituteUniversidad Carlos III de MadridLeganésSpain
  2. 2.Lyman Laboratory of Physics, Department of PhysicsHarvard UniversityCambridgeUSA
  3. 3.The MS2 Discovery Interdisciplinary Research InstituteWilfrid Laurier UniversityWaterlooCanada

Bibliographic information