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Marek Bodnar
Marek Bodnar
Wydział Matematyki, Informatyki i Mechaniki, Uniwersytet Warszawski
Verified email at mimuw.edu.pl
Title
Cited by
Cited by
Year
An integro-differential equation arising as a limit of individual cell-based models
M Bodnar, JJL Velázquez
Journal of Differential Equations 222 (2), 341-380, 2006
1492006
Derivation of macroscopic equations for individual cell‐based models: a formal approach
M Bodnar, JJL Velazquez
Mathematical methods in the applied sciences 28 (15), 1757-1779, 2005
1162005
The nonnegativity of solutions of delay differential equations
M Bodnar
Applied Mathematics Letters 13 (6), 91-95, 2000
1002000
Time delays in proliferation process for solid avascular tumour
U Foryś, M Bodnar
Mathematical and Computer Modelling 37 (11), 1201-1209, 2003
812003
Three types of simple DDE's describing tumor growth
M Bodnar, U Foryś
Journal of Biological Systems 15 (04), 453-471, 2007
692007
Stochastic models of gene expression with delayed degradation
J Miȩkisz, J Poleszczuk, M Bodnar, U Foryś
Bulletin of mathematical biology 73, 2231-2247, 2011
662011
Time delay in necrotic core formation
M Bodnar, U Foryś
Mathematical Biosciences & Engineering 2 (3), 461-472, 2005
492005
A mathematical model describes the malignant transformation of low grade gliomas: Prognostic implications
MU Bogdańska, M Bodnar, MJ Piotrowska, M Murek, P Schucht, J Beck, ...
PloS one 12 (8), e0179999, 2017
462017
Delay can stabilize: Love affairs dynamics
N Bielczyk, M Bodnar, U Foryś
Applied Mathematics and Computation 219 (8), 3923-3937, 2012
452012
Periodic dynamics in a model of immune system
M Bodnar, U Foryś
Applicationes mathematicae 27 (1), 113-126, 2000
432000
Analysis of biochemical reactions models with delays
M Bodnar, U Foryś, J Poleszczuk
Journal of Mathematical Analysis and Applications 376 (1), 74-83, 2011
392011
Time delays in regulatory apoptosis for solid avascular tumour
U Foryś, M Bodnar
Mathematical and computer modelling 37 (11), 1211-1220, 2003
392003
A mathematical model of low grade gliomas treated with temozolomide and its therapeutical implications
MU Bogdańska, M Bodnar, J Belmonte-Beitia, M Murek, P Schucht, ...
Mathematical biosciences 288, 1-13, 2017
382017
Behaviour of solutions to Marchuk's model depending on a time delay
M Bodnar, U Foryś
International Journal of Applied Mathematics and Computer Science 10 (1), 97-112, 2000
372000
Mathematical modelling of immune reaction against gliomas: Sensitivity analysis and influence of delays
MJ Piotrowska, M Bodnar, J Poleszczuk, U Foryś
Nonlinear Analysis: Real World Applications 14 (3), 1601-1620, 2013
312013
Dynamic oligopoly with sticky prices: off-steady-state analysis
A Wiszniewska-Matyszkiel, M Bodnar, F Mirota
Dynamic Games and Applications 5, 568-598, 2015
292015
New approach to modeling of antiangiogenic treatment on the basis of Hahnfeldt et al. model
J Poleszczuk, M Bodnar, U Foryś
Mathematical Biosciences & Engineering 8 (2), 591-603, 2011
292011
Angiogenesis model with carrying capacity depending on vessel density
M Bodnar, U Foryś
Journal of Biological Systems 17 (01), 1-25, 2009
262009
A model of immune system with time-dependent immune reactivity
M Bodnar, U Foryś
Nonlinear Analysis: Theory, Methods & Applications 70 (2), 1049-1058, 2009
242009
Stability of delay induced oscillations in gene expression of Hes1 protein model
M Bodnar, A Bartłomiejczyk
Nonlinear Analysis: Real World Applications 13 (5), 2227-2239, 2012
232012
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