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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Non-standard parabolic problems in description of biological processes

2016/21/B/ST1/03071

Keywords:

equations of reaction-diffusion-transport type traveling waves semigroup theory

Descriptors:

  • ST1_11: Partial differential equations
  • ST1_18: Control theory and optimisation
  • NZ4_12: Other related subjects

Panel:

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

Host institution :

Instytut Podstawowych Problemów Techniki Polskiej Akademii Nauk

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Bogdan Kaźmierczak 

Number of co-investigators in the project: 4

Call: OPUS 11 - announced on 2016-03-15

Amount awarded: 311 080 PLN

Project start date (Y-m-d): 2017-01-16

Project end date (Y-m-d): 2022-01-15

Project duration:: 60 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. Przenośna jednostka obliczeniowa (10 000 PLN)

Information in the final report

  • Publication in academic press/journals (16)
  1. An averaging principle for fast diffusions in domains separated by semi-permeable membranes
    Authors:
    Bobrowski A., Kaźmierczak B., Kunze M.
    Academic press:
    MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES (rok: 2017, tom: 27, strony: 663-706), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0218202517500130 - link to the publication
  2. Speed of traveling waves for monotone reaction-diffusion systems as a function of diffusion coefficients
    Authors:
    Bogdan Kazmierczak, James Sneyd
    Academic press:
    Physica D (rok: 2021, tom: 424, strony: 132940), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physd.2021.132940 - link to the publication
  3. Traveling Waves in Quadratic Autocatalytic Systems With Complexing Agent
    Authors:
    Wei-Chieh Chen, Bogdan Kazmierczak
    Academic press:
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SERIES B (rok: 2021, tom: 26, strony: 1827-1842), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcdsb.2020364 - link to the publication
  4. Viral Infection Spreading and Mutation in Cell Culture
    Authors:
    Latifa Ait Mahiout, Bogdan Kazmierczak and Vitaly Volpert
    Academic press:
    Mathematics 2022 (rok: 2022, tom: Mathematics 2022, 10, 256., strony: 45306), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/math10020256 - link to the publication
  5. Effect of buffers with multiple binding sites on calcium waves
    Authors:
    Bogdan Kazmierczak, James Sneyd, Je-Chiang Tsai
    Academic press:
    Bulletin of Mathematical Biology (rok: 2022, ), Wydawca: Springer
    Status:
    Submitted
    DOI:
    brak - link to the publication
  6. Modeling Fast CICI Calcium Waves
    Authors:
    Z. Peradzyński, B. Kaźmierczak, S. Białecki
    Academic press:
    Mathematical Models and Methods in Applied Sciences , Wydawca: World Scientific
    Status:
    Submitted
    DOI:
    brak - link to the publication
  7. Regularity of solutions to a reaction–diffusion equation on the sphere: the Legendre series approach
    Authors:
    Białecki S., Kaźmierczak B., Nowicka D., Tsai J.-C.
    Academic press:
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES (rok: 2017, tom: 40, strony: 5349-5369), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1002/mma.4390 - link to the publication
  8. Mathematical modelling of respiratory viral infection and applications to SARS-CoV-2 progression
    Authors:
    L. Ait Mahiout, N. Bessonov, B. Kazmierczak, V. Volpert
    Academic press:
    Mathematical Methods in Applied Sciences (rok: 2022, tom: brak, strony: ), Wydawca: John Wiley & Sons
    Status:
    Accepted for publication
    DOI:
    10.1002/mma.8606 - link to the publication
  9. Polarization of concave domains by traveling wave pinning
    Authors:
    Białecki S., Kaźmierczak B., Lipniacki T.
    Academic press:
    PLOS ONE (rok: 2017, tom: 12, strony: e0190372-1-10), Wydawca: plos.org
    Status:
    Published
    DOI:
    10.1371/journal.pone.0190372 - link to the publication
  10. The Propagation Phenomenon of Solutions of a Parabolic Problem on the Sphere
    Authors:
    Bogdan Kaźmierczak, Je-Chiang Tsai, Slawomir Bialecki
    Academic press:
    Mathematical Models and Methods in Applied Sciences (rok: 2018, tom: 28, strony: 2001-2067), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S021820251850043 - link to the publication
  11. Traveling Waves For Reaction-Diffusion Pde Coupled To Difference Equation With Nonlocal Dispersal Term And Time Delay
    Authors:
    Mostafa Adimy, Abdennasser Chekroun and Bogdan Kazmierczak
    Academic press:
    Mathematical Modelling of Natural Phenomena (rok: 2022, tom: 17, strony: 45322), Wydawca: EDP Sciences
    Status:
    Published
    DOI:
    10.1051/mmnp/2022021 - link to the publication
  12. Precartilage condensation during limb skeletogenesis occurs by tissue phase separation controlled by a bistable cell-state switch with suppressed oscillatory dynamics
    Authors:
    T. Glimm, B. Kazmierczak, C. Cui, S.A. Newman and R. Bhat
    Academic press:
    eLIFE , Wydawca: eLife Sciences Publications
    Status:
    Submitted
    DOI:
    brak - link to the publication
  13. Mathematical modeling of chondrogenic pattern formation during limb development: Recent advances in continuous models
    Authors:
    Paramita Chatterjee, Tilmann Glimm, Bogdan Kazmierczak
    Academic press:
    Mathematical Biosciences (rok: 2020, tom: 322, strony: 108319), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.mbs.2020.108319 - link to the publication
  14. Infection spreading in cell cultures a reaction-diffusion wave
    Authors:
    L. Ait Mahiout, N. Bessonov, B. Kazmierczak, G. Sadaka, V. Volpert
    Academic press:
    Mathematical Modelling and Numerical Analysis (rok: 2022, tom: M2A N 56, strony: 791-814), Wydawca: ESAIM
    Status:
    Published
    DOI:
    10.1051/m2an/2022019 - link to the publication
  15. On a one-parameter continuous family of pairs of complementary boundary conditions
    Authors:
    Bobrowski A., Ratajczyk E.
    Academic press:
    Studia Mathematica (rok: 2022, tom: 264, strony: 45303), Wydawca: Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.4064/sm210618-3-11 - link to the publication
  16. Traveling and standing fronts on curved surfaces
    Authors:
    Sławomir Białecki, Paweł Nałęcz-Jawecki, Bogdan Kaźmierczak, Tomasz Lipniacki
    Academic press:
    PHYSICA D-NONLINEAR PHENOMENA (rok: 2020, tom: 401, strony: pp.132215-1-8), Wydawca: ELSEVIER
    Status:
    Published
    DOI:
    10.1016/j.physd.2019.132215 - link to the publication

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