Zobrazeno 1 - 10
of 105
pro vyhledávání: '"Mirosław Lachowicz"'
Autor:
Mirosław Lachowicz, Mateusz Dȩbowski
Publikováno v:
Entropy, Vol 22, Iss 11, p 1280 (2020)
In the present paper, we study a diauxic growth that can be generated by a class of model at the mesoscopic scale. Although the diauxic growth can be related to the macroscopic scale, similarly to the logistic scale, one may ask whether models on mes
Externí odkaz:
https://doaj.org/article/9929bcd7668745d7923f883a84600026
Autor:
Mirosław Lachowicz, Henryk Leszczyński
Publikováno v:
Mathematics, Vol 8, Iss 4, p 523 (2020)
We consider a general nonlinear kinetic type equation that can describe the time evolution of a variable related to an economical state of an individual agent of the system. We assume asymmetric interactions between the agents. We show that in a corr
Externí odkaz:
https://doaj.org/article/62976d6eacc649c58afb02f0244103d0
Publikováno v:
Symmetry, Vol 11, Iss 8, p 1024 (2019)
In the present paper, we study a class of nonlinear integro-differential equations of a kinetic type describing the dynamics of opinion for two types of societies: conformist ( σ = 1 ) and anti-conformist ( σ = − 1 ). The essential role is played
Externí odkaz:
https://doaj.org/article/0797acd166344df0996659b656451629
Autor:
Miroslaw Lachowicz, Jacek Miekisz
This volume contains pedagogical and elementary introductions to genetics for mathematicians and physicists as well as to mathematical models and techniques of population dynamics. It also offers a physicist's perspective on modeling biological proce
Publikováno v:
Applied Mathematics and Computation. 361:47-60
We propose a microscopic model describing the process of DNA thermal denaturation. The process consists of the splitting of DNA base pairs, or nucleotides, resulting in the separation of two complementary DNA strands. In contrast to the previous mode
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b1eb88812264b9edcc6c813c5a4f6f89
https://doi.org/10.1016/j.amc.2019.05.001
https://doi.org/10.1016/j.amc.2019.05.001
Publikováno v:
Applied Mathematics and Computation. 343:156-166
We study a kinetic equation which describes self-organization of various complex systems, assuming the interacting rate with small support. This corresponds to interactions between an agent with a given internal state and agents having short distance
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3f5448b866ee92bda2823591abe4858c
https://doi.org/10.1016/j.amc.2018.09.050
https://doi.org/10.1016/j.amc.2018.09.050
Publikováno v:
Discrete & Continuous Dynamical Systems - B. 24:2205-2217
In the present paper we propose and study a simple model of collagen remodeling occurring in latter stage of tendon healing process. The model is an integro-differential equation describing the possibility of an alignment of collagen fibers in a fini
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::30cd6f9b1f19607017c049a69c7a5f22
https://doi.org/10.3934/dcdsb.2019091
https://doi.org/10.3934/dcdsb.2019091
Autor:
Mateusz Dȩbowski, Mirosław Lachowicz
Publikováno v:
Entropy
Volume 22
Issue 11
Entropy, Vol 22, Iss 1280, p 1280 (2020)
Volume 22
Issue 11
Entropy, Vol 22, Iss 1280, p 1280 (2020)
In the present paper, we study a diauxic growth that can be generated by a class of model at the mesoscopic scale. Although the diauxic growth can be related to the macroscopic scale, similarly to the logistic scale, one may ask whether models on mes
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5f2db967f00e7bd1338766ab84b699e5
Publikováno v:
Applied Mathematics and Computation. 417:126778
In the present paper we study Euler–type approximations along characteristics for a class of kinetic equations that describe swarm formations in the case when the interactions rate is variable. The proposed numerical schemes preserve essential prop
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b47643cdfccdb8cf197505cd66d86029
https://doi.org/10.1016/j.amc.2021.126778
https://doi.org/10.1016/j.amc.2021.126778
Publikováno v:
Communications in Applied and Industrial Mathematics, Vol 9, Iss 2, Pp 106-118 (2018)
In the present paper we propose two mathematical models describing, respectively at the microscopic level and at the mesoscopic level, a system of interacting tumor cells and cells of the immune system. The microscopic model is in terms of a Markov c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d8a44f5f145c0a39a8a0901837a68544
https://doaj.org/article/2ee926f5c7954f919fa0aac2cd9f26cf
https://doaj.org/article/2ee926f5c7954f919fa0aac2cd9f26cf