Dr Fiona Macfarlane

Research Fellow

Researcher profile

Phone

+44 (0)1334 46 3766

Email

frm3@st-andrews.ac.uk

Office

102 MI

Location

Mathematical Institute

 

Selected publications

• Open access

  Derivation and travelling wave analysis of phenotype-structured haptotaxis models of cancer invasion

  Lorenzi, T., Macfarlane, F. R. & Painter, K. J., 27 Feb 2024, (E-pub ahead of print) In: European Journal of Mathematics. FirstView, 33 p.

  Research output: Contribution to journal › Article › peer-review

• Open access

  Individual-based and continuum models of phenotypically heterogeneous growing cell populations

  Macfarlane, F. R., Ruan, X. & Lorenzi, T., 18 Mar 2022, In: AIMS Bioengineering. 9, 1, p. 68-92 25 p.

  Research output: Contribution to journal › Article › peer-review

• Open access

  Modelling rheumatoid arthritis: a hybrid modelling framework to describe pannus formation in a small joint

  Macfarlane, F. R., Chaplain, M. A. J. & Eftimie, R., Jun 2022, In: ImmunoInformatics. 6, 20 p., 100014.

  Research output: Contribution to journal › Article › peer-review

• Open access

  The impact of phenotypic heterogeneity on chemotactic self-organisation

  Macfarlane, F. R., Lorenzi, T. & Painter, K. J., 1 Dec 2022, In: Bulletin of Mathematical Biology. 84, 12, 35 p., 143.

  Research output: Contribution to journal › Article › peer-review

• Open access

  A single-cell mathematical model of SARS-CoV-2 induced pyroptosis and the effects of anti-inflammatory intervention

  Hamis, S. J. & Macfarlane, F. R., 1 Apr 2021, In: AIMS Mathematics. 6, 6, p. 6050-6086 37 p.

  Research output: Contribution to journal › Article › peer-review

• Open access

  A hybrid discrete-continuum approach to model Turing pattern formation

  Macfarlane, F. R., Chaplain, M. A. J. & Lorenzi, T., 29 Oct 2020, In: Mathematical Biosciences and Engineering. 17, 6, p. 7442-7479

  Research output: Contribution to journal › Article › peer-review

• Open access

  Bridging the gap between individual-based and continuum models of growing cell populations

  Chaplain, M. A. J., Lorenzi, T. & Macfarlane, F. R., Jan 2020, In: Journal of Mathematical Biology. 80, 1-2, p. 343-371

  Research output: Contribution to journal › Article › peer-review

• Discrete and continuum models for the evolutionary and spatial dynamics of cancer: a very short introduction through two case studies

  Lorenzi, T., Macfarlane, F. R. & Villa, C., 2020, Trends in Biomathematics: Modeling Cells, Flows, Epidemics, and the Environment: Selected Works from the BIOMAT Consortium Lectures, Szeged, Hungary, 2019. Mondaini, R. P. (ed.). Cham: Springer, p. 359-380

  Research output: Chapter in Book/Report/Conference proceeding › Chapter

• Open access

  From a discrete model of chemotaxis with volume-filling to a generalized Patlak–Keller–Segel model

  Bubba, F., Lorenzi, T. & Macfarlane, F. R., 27 May 2020, In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 476, 2237, 19 p., 20190871.

  Research output: Contribution to journal › Article › peer-review

• Open access

  A stochastic individual-based model to explore the role of spatial interactions and antigen recognition in the immune response against solid tumours

  Macfarlane, F. R., Chaplain, M. A. J. & Lorenzi, T., 7 Nov 2019, In: Journal of Theoretical Biology. 480, p. 43-55

  Research output: Contribution to journal › Article › peer-review

 

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