Anna Zhigun


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PhD projects

Mathematical models for cancer invasion with a focus on their analysis

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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.

Fingerprint Dive into the research topics where Anna Zhigun is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Degenerate Diffusion Mathematics
Chemotaxis Mathematics
Haptotaxis Mathematics
Supersolution Mathematics
Uniform Attractor Mathematics
Pullback Attractor Mathematics
Porous Media Mathematics
Invasion Mathematics

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Research Output 2013 2019

  • 11 Article
  • 2 Other contribution
  • 1 Conference contribution
  • 1 Special issue
67 Downloads (Pure)

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
Keller-Segel Model
Blow-up Time
Classical Solution

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
cell movement
Cell Movement
Theoretical Models
mathematical models
Tissue Adhesions

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

Strong Solution
Behavior of Solutions
4 Citations (Scopus)
100 Downloads (Pure)

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
Degenerate Diffusion
4 Citations (Scopus)
Sensitivity Coefficient
Classical Solution