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Computer predictions of cell movement
Bednář, Vojtěch ; Mrázová, Iveta (referee)
Title: Computer predictions of cell movement Author: Vojtěch Bednář Department: Department of Applied Mathematics Supervisor: Doc. RNDr. Zdeněk Hedrlín, CSc. Supervisor's e-mail address: zdenek@kam.mff.cuni.cz Abstract: This work is focused on computer modelling of cells' behavior. Emphasis is layed on dynamics of cell structures creation. Our model is based on so called zygotic graph, which defines production of ligands by the cell in respose to it's chemical environment. This graph is widened with cell movement definition in direction of the highest concentration of the most seen substance. There are two topics modelled. Differentiation of homogenous tissues and angiogenesis. Part of the work is a simulation program. Experiences with performing of virtual experiments in it gives to the user a suitable frame of understanding of given topic. We show, that the number of isolated differentiated cells could be regulated by one quantitative parameter. Next, it seems, that a two - dimensional layout of a homogenous tissue could be in particular sense more suitable for differentiation, than in one - dimensional case. The work also allows us to see that consumption of environmental chemical supstances by cells could have an important influence on correct micro - vessel network buildup. Keywords: cell, simulation,...
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Computer Modeling of Tissue Development
Bednář, Vojtěch ; Hedrlín, Zdeněk (advisor) ; Loebl, Martin (referee) ; Klika, Václav (referee)
Title: Computer Modeling of Tissue Development Author: Vojtěch Bednář Department: Department of applied mathematics Supervisor: Doc. RNDr. Zdeněk Hedrlín, CSc. Abstract: This thesis describes hybrid individual cell-based approach to modeling of systems of biological cells. In the first part reaction-diffusion model of environment is introduced together with vax equilibrium and model of a cell based on zygotic graph and cummulative states. Further, simulations modeling three biologically motivated situations are introduced: Lumen formation, tumor growth, and cellular migration in chronic inflammation. The first model shows a scenario of hollow structure formation based on directional division and cellular migration. The second model is concerned with the growth of a progeny of a slightly damaged cell. The resulting tumor exhibits three stages of malign transformation. Further, emergence of an aggressive tumor without detectable precursor is observed on one hand and a continual transformation of a benign neoplasm into a malign one is seen on the other hand. Each of these cases is a consequence of different parametrization of the model situation. The last model analyses the role of membrane enzymatic activity in migrating cells of the immune system in chronic inflammation. In this model it is observed that...
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Computer predictions of cell movement
Bednář, Vojtěch ; Mrázová, Iveta (referee)
Title: Computer predictions of cell movement Author: Vojtěch Bednář Department: Department of Applied Mathematics Supervisor: Doc. RNDr. Zdeněk Hedrlín, CSc. Supervisor's e-mail address: zdenek@kam.mff.cuni.cz Abstract: This work is focused on computer modelling of cells' behavior. Emphasis is layed on dynamics of cell structures creation. Our model is based on so called zygotic graph, which defines production of ligands by the cell in respose to it's chemical environment. This graph is widened with cell movement definition in direction of the highest concentration of the most seen substance. There are two topics modelled. Differentiation of homogenous tissues and angiogenesis. Part of the work is a simulation program. Experiences with performing of virtual experiments in it gives to the user a suitable frame of understanding of given topic. We show, that the number of isolated differentiated cells could be regulated by one quantitative parameter. Next, it seems, that a two - dimensional layout of a homogenous tissue could be in particular sense more suitable for differentiation, than in one - dimensional case. The work also allows us to see that consumption of environmental chemical supstances by cells could have an important influence on correct micro - vessel network buildup. Keywords: cell, simulation,...
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