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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Singular Perturbations Leading To Averaging Principles in Models Originating from Biology and Medicine.

2017/25/B/ST1/01804

Keywords:

Semigroups of Operators Signaling Pathways Cancer Modelling Fast Diffusion Boundary Conditons Singular Perturbations Driver and Passenger Mutations

Descriptors:

  • ST1_18: Control theory and optimisation
  • ST1_9: Operator algebras and functional analysis
  • ST1_13: Probability and statistics

Panel:

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

Host institution :

Politechnika Lubelska, Wydział Elektrotechniki i Informatyki

woj. lubelskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Adam Bobrowski 

Number of co-investigators in the project: 1

Call: OPUS 13 - announced on 2017-03-15

Amount awarded: 176 000 PLN

Project start date (Y-m-d): 2018-01-15

Project end date (Y-m-d): 2023-01-14

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. Komputer osobisty, tablet i drukarka (20 000 PLN)

Information in the final report

  • Publication in academic press/journals (12)
  1. Diffusion approximation for a simple kinetic model with asymmetric interface
    Authors:
    Adam Bobrowski i Tomasz Komorowski
    Academic press:
    Journal of Evolution Equations (tom: 22(42), strony: ), Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    10.1007/s00028-022-00801-x - link to the publication
  2. A note on generalized Euler's formula
    Authors:
    Adam Bobrowski
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2019, tom: vol. 473, no. 2, strony: 1155-1164), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2019.01.012 - link to the publication
  3. Isolated points of spaces of homomorphisms from ordered AL-algebras
    Authors:
    Adam Bobrowski i Wojciech Chojnacki
    Academic press:
    Dissertationes Mathematicae (rok: 2022, tom: 577, strony: 25204), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/dm845-11-2021 - link to the publication
  4. Moran Process Version of the Tug-of-War Model: Complex Behavior Revealed by Mathematical Analysis and Simulation Studies
    Authors:
    M. Kimmel, A. Bobrowski, M. Kurpas i E. Ratajczyk
    Academic press:
    Discrete and Contiuous Dynamical Systems B (rok: 2023, tom: 28 (8), strony: 4532--4563), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcdsb.2023029 - link to the publication
  5. On one-parameter continuous family of pairs of complementary boundary conditions
    Authors:
    Adam Bobrowski i Elżbieta Ratajczyk
    Academic press:
    Studia Mathematica (rok: 2022, tom: 266(1), strony: 81-92), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/sm210618-3-11. - link to the publication
  6. On convergence and asymptotic behaviour of semigroups of operators
    Authors:
    Adam Bobrowski and Ryszard Rudnicki
    Academic press:
    Philosophical Transactions A (rok: 2020, tom: 378, issue 2185, strony: 45309), Wydawca: Royal Society
    Status:
    Published
    DOI:
    10.1098/rsta.2019.0613 - link to the publication
  7. Semigroup-theoretic approach to diffusion in thin layers separated by semi-permeable membranes
    Authors:
    Adam Bobrowski
    Academic press:
    Journal of Evolution Equations (rok: 2021, tom: 21, strony: 1019–1057), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00028-020-00617-7 - link to the publication
  8. A Note on Integrability of the Norm of a Perturbed Semigroup
    Authors:
    Adam Bobrowski
    Academic press:
    Results Math (rok: 2020, tom: 75:105, strony: 45299), Wydawca: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s00025-020-01231-2 - link to the publication
  9. Modeling diffusion in thin 2D-layers separated by a semi-permeable membrane; the role of transmission conditions
    Authors:
    Adam Bobrowski
    Academic press:
    SIAM Journal on Mathematical Analysis (rok: 2020, tom: 52 No 4, strony: 3222-3251), Wydawca: SIAM
    Status:
    Published
    DOI:
    10.1137/19M1291443 - link to the publication
  10. Concatenation of dishonest Feller processes, exit laws, and limit theorems on graphs
    Authors:
    Adam Bobrowski
    Academic press:
    SIAM J. of Mathematical Analysis , Wydawca: SIAM
    Status:
    Accepted for publication
    DOI:
    10.1137/22M1487552 - link to the publication
  11. Irregular convergence of mild solutions of semilinear equations
    Authors:
    Adam Bobrowski, Markus Kunze
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2019, tom: vol. 472, no. 2, strony: 1401-1419), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2018.11.082 - link to the publication
  12. Robin-type boundary conditions in transition from reaction-diffusion equations in 3D domains to equations in 2D domains
    Authors:
    Adam Bobrowski i Tomasz Lipniacki
    Academic press:
    Journal of Differential Equations (rok: 2019, tom: 268 numer 2, strony: 239-271), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2019.08.022 - link to the publication

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