Anna Zhigun

Dr

Accepting PhD Students

PhD projects

Mathematical models for cancer invasion with a focus on their analysis

20132019

Research output per year

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Personal profile

Research Interests

The backbone of my research is the mathematical modelling of various nonlinear processes with evolution equations or strongly coupled systems thereof and their qualitative study.

Examples include: degenerate/singular diffusion, chemo-/haptotaxis, adhesion, growth, and stochastic perturbations.

The analysis involves well-posedness, regularity, long-time behaviour, as well as other qualitative properties. Main applications are concerned with the mathematical modelling for life sciences.

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Research Output

  • 11 Article
  • 2 Other contribution
  • 1 Conference contribution
  • 1 Special issue

Generalized Global Supersolutions with Mass Control for Systems with Taxis

Zhigun, A., 13 Jun 2019, In : SIAM Journal on Mathematical Analysis. 51, 3, p. 2425-2443 19 p.

Research output: Contribution to journalArticle

Open Access
File
  • 83 Downloads (Pure)

    Mathematical models for cell migration: a nonlocal perspective

    Zhigun, A., Surulescu, C., Painter, K. & Chen, L., 11 Nov 2019, (Accepted) In : Philosophical Transactions of the Royal Society B.

    Research output: Contribution to journalSpecial issue

    Open Access
    File
  • On a model for epidemic spread with interpopulation contact and repellent taxis

    Ruoja, C. S., Surulescu, C. & Zhigun, A., Nov 2019, In : Advances in Mathematical Sciences and Applications . 28, 1, p. 99-113 15 p.

    Research output: Contribution to journalArticle

  • A strongly degenerate diffusion-haptotaxis model of tumour invasion under the go-or-grow dichotomy hypothesis

    Zhigun, A., Surulescu, C. & Hunt, A., 01 Apr 2018, In : Mathematical Methods in the Applied Sciences. 41, 6, p. 2403-2428 26 p.

    Research output: Contribution to journalArticle

    Open Access
    File
  • 4 Citations (Scopus)
    115 Downloads (Pure)
  • 4 Citations (Scopus)