Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Mathematical models and methods in description of tumour growth and its therapies.

2015/19/B/ST1/01163

Keywords:

mathematical modelling reaction-diffusion equations travelling waves equations with time delay cellular automata

Descriptors:

  • ST1_18: Control theory and optimisation
  • ST1_10: Ordinary differential equations and dynamical systems
  • ST1_11: Partial differential equations

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet Warszawski, Wydział Matematyki, Informatyki i Mechaniki

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Marek Bodnar 

Number of co-investigators in the project: 8

Call: OPUS 10 - announced on 2015-09-15

Amount awarded: 388 720 PLN

Project start date (Y-m-d): 2016-06-22

Project end date (Y-m-d): 2020-06-21

Project duration:: 48 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. Drukarka.
  2. Laptop (2 szt.) (10 000 PLN)

Information in the final report

  • Publication in academic press/journals (13)
  • Articles in post-conference publications (2)
  1. A mathematical model describes the malignant transformation of low grade gliomas: Prognostic implications
    Authors:
    M.U. Bogdańska, M. Bodnar, M.J. Piotrowska, M. Murek, P. Schucht, J. Beck, A. Martínez-González, V.M. Pérez-García
    Academic press:
    PLOS One (rok: 2017, tom: 12, strony: e0179999), Wydawca: Public Science Library
    Status:
    Published
    DOI:
    10.1371/journal.pone.0179999 - link to the publication
  2. Analysis of a delay differential equations modelling tumor growth with angiogenesis
    Authors:
    Maja Szlenk, Marek Bodnar
    Academic press:
    Mathematica Applicanda (Matematyka Stosowana). Annales Societatis Mathematicae Polonae Series III (rok: 2019, tom: 47, strony: 207-217), Wydawca: Polskie Towarzystwo Matematyczne
    Status:
    Published
    DOI:
    10.14708/ma.v47i2.6493 - link to the publication
  3. Mathematical analysis of generalised model of chemotherapy for low grade gliomas
    Authors:
    Marek Bodnar, Monika J. Piotrowska, Magdalena U. Bognadńska
    Academic press:
    Discrete & Continuous Dynamical Systems - B (rok: 2019, tom: 24, strony: 2149–2167), Wydawca: American Institute of mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcdsb.2019088 - link to the publication
  4. Some remarks on modelling of drug resistance for low grade gliomas
    Authors:
    Marek Bodnar, Urszula Foryś
    Academic press:
    Mathematica Applicanda (Matematyka Stosowana). Annales Societatis Mathematicae Polonae Series III (rok: 2019, tom: 47, strony: 151-164), Wydawca: Polskie Towarzystwo Matematyczne
    Status:
    Published
    DOI:
    10.14708/ma.v47i2.6487 - link to the publication
  5. Mathematical and numerical analysis of low grade gliomas model and the effects of chemotherapy
    Authors:
    Marek Bodnar, María Vela-Pérez
    Academic press:
    Communications in Nonlinear Science and Numerical Simulation (rok: 2019, tom: 72, strony: 552-564), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2019.01.015 - link to the publication
  6. Justification of quasi-stationary approximation in models of gene expression of a self-regulating protein
    Authors:
    Agnieszka Bartłomiejczyk, Marek Bodnar
    Academic press:
    Communications in Nonlinear Science and Numerical Simulation (rok: 2020, tom: 84, strony: 105166), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2020.105166 - link to the publication
  7. Mathematical analysis of a generalised p53-Mdm2 protein gene expression model
    Authors:
    Monika J. Piotrowska, Agnieszka Bartłomiejczyk, Marek Bodnar
    Academic press:
    Applied Mathematics and Computation (rok: 2018, tom: 328, strony: 26-44), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.amc.2018.01.014 - link to the publication
  8. Numerical optimisation of chemotherapy dosage under antiangiogenic treatment in the presence of drug resistance
    Authors:
    P. Bajger and M. Bodzioch and U. Foryś
    Academic press:
    Mathematical Methods in the Applied Sciences (rok: 2020, tom: 43, strony: 10671-10689), Wydawca: John Wiley & Sons Ltd
    Status:
    Published
    DOI:
    10.1002/mma.6958 - link to the publication
  9. Singularity of controls in a simple model of acquired chemotherapy resistance
    Authors:
    Piotr Bajger, Mariusz Bodzioch, Urszula Foryś
    Academic press:
    Discrete & Continuous Dynamical Systems - B (rok: 2019, tom: 24, strony: 2039-2052), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcdsb.2019083 - link to the publication
  10. Modeling of drug resistance: comparison of two hypotheses on the example of LGGs
    Authors:
    Marek Bodnar, Urszula Foryś
    Academic press:
    Mathematical Methods in the Applied Sciences , Wydawca: John Wiley & Sons Ltd
    Status:
    Submitted
    DOI:
    brak - link to the publication
  11. Angiogenesis and chemotherapy resistance: optimizing chemotherapy scheduling using mathematical modeling
    Authors:
    Mariusz Bodzioch, Piotr Bajger, Urszula Foryś
    Academic press:
    Journal of Cancer Research and Clinical Oncology (rok: 2021, tom: brak, strony: brak), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00432-021-03657-9 - link to the publication
  12. Influence of distributed delays on the dynamics of a generalized immune system cancerous cells interactions model
    Authors:
    Monika J. Piotrowska, Marek Bodnar
    Academic press:
    Communications in Nonlinear Science and Numerical Simulation (rok: 2018, tom: 54, strony: 389-415), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2017.06.003 - link to the publication
  13. Competition between subpopulations: preventing domination of resistant subpopulation using nonlinear optimal control
    Authors:
    P. Bajger and M. Bodzioch and U. Foryś
    Academic press:
    International Journal of Applied Mathematics and Computer Science , Wydawca: AMCS
    Status:
    Submitted
    DOI:
    brak - link to the publication
  1. Mathematical analysis of the model describing chemotherapy of brain tumours
    Authors:
    Magdalena U. Bogdańnska, Marek Bodnar, Monika J. Piotrowska
    Conference:
    XXIII Krajowa Konferencja Zastosowań Matematyki w Biologii i Medycynie (rok: 2017, ), Wydawca: Politechnika Śląska, Uniwersytet Warszawski
    Data:
    konferencja 11-15 września
    Status:
    Published
  2. Two models of drug resistance for low grade gliomas: comparison of the models dynamics
    Authors:
    Marek Bodnar, Urszula Foryś
    Conference:
    XXIII Krajowa Konferencja Zastosowań Matematyki w Biologii i Medycynie (rok: 2017, ), Wydawca: Politechnika Śląska, Uniwersytet Warszawski
    Data:
    konferencja 11-15 września
    Status:
    Published

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