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Mirosław Lachowicz

Number of publications: 92

2024

Zuzanna Szymańska, Mirosław Lachowicz , Nikolaos Sfakianakis, Mark A.J. Chaplain, Mathematical modelling of cancer invasion: Phenotypic transitioning provides insight into multifocal foci formation, Journal of Computational Science, 75 2024, p. 102175: 1-15. See in PBN
Mirosław Lachowicz , Milena Matusik, Krzysztof Topolski, Population of entities with three individual states and asymmetric interactions, APPLIED MATHEMATICS AND COMPUTATION, 464 2024, p. 128395: 1-15. See in PBN

2023

Mirosław Lachowicz , „Experyment” z nieskończonością, Delta. matematyka-fizyka-astronomia-informatyka, 8 (8) 2023, p. 1-3. See in PBN
Mirosław Lachowicz , Matematyka i literatura: J.M. Coetzee, DELTA, 01/2023 2023. See in PBN
Mirosław Lachowicz , Samotność i liczby, DELTA, (11) 2023, p. 17-19. See in PBN

2022

Mirosław Lachowicz , Krzysztof Topolski, Henryk Leszczyński, Approximations of kinetic equations of swarm formation: Convergence and exact solutions, APPLIED MATHEMATICS AND COMPUTATION, 417 2022, p. 126778. See in PBN
Mirosław Lachowicz , Fibonacci prawie wszędzie, DELTA, 04/2022 2022, p. 12-14. See in PBN

2021

Mirosław Lachowicz , Biomatematyka, instrukcja obsługi, DELTA, 10 2021. See in PBN
Mirosław Lachowicz , Intuicja matematyczna w Raju?, DELTA, 9 2021. See in PBN
Mirosław Lachowicz , Matematyka i życie: punkty przegięcia, DELTA, 2021. See in PBN

2020

Mateusz Dȩbowski, Mirosław Lachowicz , Diauxic Growth at the Mesoscopic Scale, Entropy, 22 (11) 2020, p. 1280. See in PBN
Mirosław Lachowicz , Henryk Leszczyński, Modeling asymmetric interactions in economy, Mathematics, 8 (4) 2020, p. 1-14. See in PBN
Jacek Banasiak, Mirosław Lachowicz , Preface to the special issue BIOMATH 2019, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 43 (18) 2020, p. 10359-10360. See in PBN
Jacek Banasiak, Adam Bobrowski, Mirosław Lachowicz , Yuriy Tomilov, Semigroups of Operators – Theory and Applications, 2020. See in PBN

2019

Grzegorz Dudziuk, Mirosław Lachowicz , Henryk Leszczyński, Zuzanna Szymańska, A simple model of collagen remodeling, Discrete and Continuous Dynamical Systems - Series B, 24 (5) 2019, p. 2205-2217. See in PBN
Mirosław Lachowicz , Henryk Leszczyński, Elżbieta Puźniakowska-Gałuch, Diffusive and anti-diffusive behavior for kinetic models of opinion dynamics, Symmetry-Basel, 11 (8) 2019, p. 1-15. See in PBN
Mateusz Dębowski, Zuzanna Szymańska, Jacek Kubiak, Mirosław Lachowicz , Mathematical Model Explaining the Role of CDC6 in the Diauxic Growth of CDK1 Activity during the M-Phase of the Cell Cycle, Cells, 12 (8) 2019, p. 1537:1-1537:18. See in PBN
Mateusz Dębowski, Mirosław Lachowicz , Zuzanna Szymańska, Microscopic description of DNA thermal denaturation, APPLIED MATHEMATICS AND COMPUTATION, 361 2019, p. 47-60. See in PBN
Mirosław Lachowicz , Henryk Leszczyński, Krzysztof Topolski, Self-organization with small range interactions: equilibria and creation of bipolarity, APPLIED MATHEMATICS AND COMPUTATION, 343 2019, p. 156-166. See in PBN

2018

Mirosław Lachowicz , A class of individual–based models, Biomath, 7 (1) 2018, p. 1804127:1-8. See in PBN
Mirosław Lachowicz , A class of microscopic individual models corresponding to the macroscopic logistic growth, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 41 (18) 2018, p. 8446-8454. See in PBN
Diletta Burini, Elena De Angelis, Mirosław Lachowicz , A continuous-time Markov chain modeling cancer-immune system interactions, Communications in Applied and Industrial Mathematics, 9 (2) 2018, p. 106-118. See in PBN
Roumen Anguelov, Mirosław Lachowicz , Mathematical Methods and Models in Biosciences, 2018. See in PBN

2017

Henryk Leszczyński, Mirosław Lachowicz , Blow-up and global existence for a kinetic equation of swarm formation, Mathematical Models and Methods in Applied Sciences, 27 (6) 2017, p. 1153-1175. See in PBN
Avner Friedman, Mirosław Lachowicz , Urszula Ledzewicz, Monika Piotrowska, Zuzanna Szymańska, Micro and Macro Systems in Life Sciences (Preface), Mathematical Biosciences and Engineering, 14 (1) 2017, p. 1. See in PBN

2016

Mirosław Lachowicz , Martin Parisot, A kinetic model for the formation of swarms with nonlinear interactions, Kinetic and Related Models, 9 (1) 2016, p. 131-164. See in PBN
Mirosław Lachowicz , Henryk Leszczyński, Martin Parisot, A simple kinetic equation of swarm formation: Blow-up and global existence, Applied Mathematics Letters, 57 2016, p. 104-107. See in PBN
Jean-Pierre Tassan, Mateusz Dębowski, Robert Zdanowski, Claude Prigent, Mateusz Debowski Mohammed El Dika, Jacek Kubiak, Mohammed El Dika, Mirosław Lachowicz , Malgorzata Kloc, Jacek Malejczyk, Flexibility vs. robustness in cell cycle regulation of timing of M-phase entry in Xenopus laevis embryo cell-free extract, International Journal of Developmental Biology, 2016. See in PBN
Mirosław Lachowicz , From particle systems to learning processes, Physics of Life Reviews, 16 2016, p. 150-151. See in PBN
Mirosław Lachowicz , Marcin Moszyński , Infinite Banach direct sums and diagonal C_0-semigroups with applications to a stochastic particle system, Semigroup Forum, 2016. See in PBN
Mirosław Lachowicz , Martin Parisot, Zuzanna Szymańska, Intracellular protein dynamics as a mathematical problem, Discrete and Continuous Dynamical Systems - Series B, 2016. See in PBN

2015

Mirosław Lachowicz , Marina Dolfin, Modeling opinion dynamics: How the network enhances consensus, Networks and Heterogeneous Media, 10 (4) 2015, p. 877-896. See in PBN
Mirosław Lachowicz , Zuzanna Szymańska, Nonlocal models of biological phenomena, Physics of Life Reviews, 2015. See in PBN
Mirosław Lachowicz , Opisy wieloskalowe - wyzwanie dla matematyki, Metody matematyczne w zastosowaniach tom 3, 2015. See in PBN
Jacek Banasiak, Adam Bobrowski, Mirosław Lachowicz , Semigroups of Operators - Theory and Applications, 2015. See in PBN

2014

Marina Dolfin, Mirosław Lachowicz , Zuzanna Szymańska, General framework for multiscale modeling of tumor - immune system interaction, 2014. See in PBN
Mirosław Lachowicz , Kilka uwag o matematyce stosowanej - przez matematyka stosowanego napisane, Mathematica Applicanda (Matematyka Stosowana). Annales Societatis Mathematicae Polonae Series III, 2014. See in PBN
Mirosław Lachowicz , Martin Parisot, Zuzanna Szymańska, Mathematical modeling of the intracellular protein dynamics: The importance of active transport along microtubules, Journal of Theoretical Biology, 363 2014, p. 118-128. See in PBN
Jacek Banasiak, Mirosław Lachowicz , Methods of Small Parameter in Mathematical Biology, 2014. See in PBN
Marina Dolfin, Mirosław Lachowicz , Modeling altruism and selfishness in welfare dynamics: The role of nonlinear interactions, Mathematical Models and Methods in Applied Sciences, 2014. See in PBN
Marina Dolfin, Mirosław Lachowicz , Modeling DNA thermal denaturation at the mesoscopic level, Discrete and Continuous Dynamical Systems - Series B, 2014. See in PBN
Mirosław Lachowicz , Andrea Quartarone, Tatiana Ryabukha, Stability of solutions of kinetic equations corresponding to the replicator dynamics, Kinetic and Related Models, 2014. See in PBN

2013

Jacek Banasiak, Eddy Kimba Phongi, Mirosław Lachowicz , A SINGULARLY PERTURBED SIS MODEL WITH AGE STRUCTURE, Mathematical Biosciences and Engineering, 2013. See in PBN
Mirosław Lachowicz , Tatiana Ryabukha, Equilibrium solutions for microscopic stochastic systems in population dynamics, Mathematical Biosciences and Engineering, 2013. See in PBN
Mirosław Lachowicz , Matematyka stosowana i mechanika, DELTA, 4(467) (467) 2013, p. 1-1. See in PBN
Mirosław Lachowicz , Nieskończoność - nieskończenie użyteczna, DELTA, 7(470) (470) 2013, p. 12-12. See in PBN
Jacek Banasiak, Mirosław Lachowicz , ON A MACROSCOPIC LIMIT OF A KINETIC MODEL OF ALIGNMENT, Mathematical Models and Methods in Applied Sciences, 2013. See in PBN

2012

Mirosław Lachowicz , A. Quartarone, A general framework for modeling tumor-immune system competition at the mesoscopic level, Applied Mathematics Letters, 2012. See in PBN
L. Arlotti, N. Bellomo, E. De Angelis, L. Fermo, Mirosław Lachowicz , On a Class of Integro-Differential Equations Modelling Complex Systems with Nonlinear Interactions, Applied Mathematics Letters, 2012. See in PBN

2011

Jacek Banasiak, Mirosław Lachowicz , Comment, Physics of Life Reviews, 2011. See in PBN
Mirosław Lachowicz , Individually-based Markov processes modeling nonlinear systems in mathematical biology, Nonlinear Analysis: Real World Applications, 2011. See in PBN
Mark Chaplain, Mirosław Lachowicz , Zuzanna Szymańska, Dariusz Wrzosek , Mathematical modelling of cancer invasion: the importance of cell-cell adhesion and cell-matrix adhesion, Mathematical Models and Methods in Applied Sciences, 2011. See in PBN
Mirosław Lachowicz , Microscopic, mesoscopic and macroscopic descriptions of complex systems, Probabilistic Engineering Mechanics, 2011. See in PBN
Jacek Banasiak, Mirosław Lachowicz , Multiscale approach in mathematical biology, Physics of Life Reviews, 2011. See in PBN

2009

Mirosław Lachowicz , Jacek Miękisz , From Genetics to Mathematics, 2009. See in PBN
Mark Chaplain, Mirosław Lachowicz , Cristian Morales-Rodrigo, Zuzanna Szymańska, Mathematical modelling of cancer invasion of tissue: the role and effect of nonlocal interactions, Mathematical Models and Methods in Applied Sciences, 2009. See in PBN
V. Capasso, Mirosław Lachowicz , Multiscale Problems in the Life Sciences. From Microscopic to Macroscopic, 2009. See in PBN

2008

Mirosław Lachowicz , Links Between Microscopic and Macroscopic Descriptions, 2008. See in PBN
Mirosław Lachowicz , Towards microscopic and nonlocal models of tumour invasion of tissue, 2008. See in PBN

2007

J. Banasiak, Mirosław Lachowicz , Around the Kato generation theorem for semigroups, Studia Mathematica, 2007. See in PBN
J. Banasiak, Mirosław Lachowicz , Marcin Moszyński , Chaotic behavior of semigroups related to the process of gene amplification-deamplification with cell proliferation, Mathematical Biosciences, 2007. See in PBN

2006

Jacek Banasiak, Mirosław Lachowicz , Marcin Moszyński , Semigroups for Generalized Birth-and-Death Equations in l^p Spaces, Semigroup Forum, 2006. See in PBN

2005

M. Koley, Ewa Kozłowska, Mirosław Lachowicz , A mathematical model for single cell cancer- immune system dynamics, MATHEMATICAL AND COMPUTER MODELLING, 2005. See in PBN
Mirosław Lachowicz , General population systems. Macroscopic limit of a class of stochastic semigroups, Journal of Mathematical Analysis and Applications, 2005. See in PBN
Mirosław Lachowicz , Micro and meso scales of description corresponding to a model of tissue invasion by solid tumours, Mathematical Models and Methods in Applied Sciences, 2005. See in PBN
L. Arlotti, A. Deutsch, Mirosław Lachowicz , On a Discrete Boltzmann-Type Model of Swarming, MATHEMATICAL AND COMPUTER MODELLING, 2005. See in PBN
Sławomir Jagodziński, Mirosław Lachowicz , On Two Incompressible Hydrodynamic Limits of the Boltzmann-Enskog Equation II: A Rigorous Result, TRANSPORT THEORY AND STATISTICAL PHYSICS, 2005. See in PBN
Mirosław Lachowicz , Stochastic semigroups and coagulation equations, Ukrainian Mathematical Journal, 2005. See in PBN

2004

Mirosław Lachowicz , A model of swarming and its macroscopic limit, 2004. See in PBN
Mirosław Lachowicz , On bilinear kinetic equations. Between micro and macro descriptions of biological populations, 2004. See in PBN
Sławomir Jagodziński, Mirosław Lachowicz , On two incompressible hydrodynamic limits of the Boltzmann-Enskog equation. I. Formal Derivations, TRANSPORT THEORY AND STATISTICAL PHYSICS, 2004. See in PBN

2003

J Banasiak, Mirosław Lachowicz , Chaotic linear dynamical systems with applications, 2003. See in PBN
Mirosław Lachowicz , From microscopic to macroscopic descriptions of complex systems, Comptes Rendus de l'Academie des Sciences Series IIB Mechanics Physics Astronomy, 2003. See in PBN
Luisa Arlotti, Nicola Bellomo, Elena De Angelis, Mirosław Lachowicz , Generalized Kinetic Models in Applied Sciences, 2003. See in PBN
Mirosław Lachowicz , Philippe Laurencot, Dariusz Wrzosek , On the Oort-Hulst-Safranow coagulation equation and its relation to the Smoluchowski equation, SIAM Journal on Mathematical Analysis, 2003. See in PBN
J Banasiak, Mirosław Lachowicz , Marcin Moszyński , Topological chaos: When topology meets medicine, Applied Mathematics Letters, 2003. See in PBN

2002

Mirosław Lachowicz , Describing competitive systems at the level of interacting individuals., 2002. See in PBN
Mirosław Lachowicz , From microscopic to macroscopic description for generalized kinetic models., Mathematical Models and Methods in Applied Sciences, 2002. See in PBN
J Banasiak, Mirosław Lachowicz , Topological chaos for birth-and-death-type models with proliferation., Mathematical Models and Methods in Applied Sciences, 2002. See in PBN

2001

Jacek Banasiak, Mirosław Lachowicz , Chaos for a class of linear kinetic models., 2001. See in PBN
Mirosław Lachowicz , Is the linearized Boltzmann-Enskog operator dissipative?, Applied Mathematics Letters, 2001. See in PBN
Mirosław Lachowicz , Dariusz Wrzosek , Nonlocal bilinear equations. Equilibrium solutions and diffusive limit., Mathematical Models and Methods in Applied Sciences, 2001. See in PBN
Mirosław Lachowicz , When topology meets medicine., 2001. See in PBN

2000

Mirosław Lachowicz , Dariusz Wrzosek , A nonlocal coagulation-fragmentation model., Applicationes Mathematicae, 2000. See in PBN
Mirosław Lachowicz , Competition tumor - immune system., 2000. See in PBN
Mirosław Lachowicz , Hydrodynamic limits of some kinetic equations, 2000. See in PBN
Sławomir Jagodziński, Mirosław Lachowicz , Incompressible Navier-Stokes limit for the Enskog equation., Applied Mathematics Letters, 2000. See in PBN
L Arlotti, N Bellomo, Mirosław Lachowicz , Kinetic equations modeling population dynamics., TRANSPORT THEORY AND STATISTICAL PHYSICS, 2000. See in PBN
Mirosław Lachowicz , Modele matematyczne w biologii : wprowadzenie, Mathematica Applicanda (Matematyka Stosowana). Annales Societatis Mathematicae Polonae Series III, 2000. See in PBN

1998

Urszula Foryś , Mirosław Lachowicz , Jacek Waniewski, Proceedings of the IV National Conference Application of Mathematics to Biology and Medicine, 1998. See in PBN