| 1. |
- Bartoszek, Krzysztof, 1984-, et al.
(författare)
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On the Time Behaviour of Okazaki Fragments
- 2006
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Ingår i: Journal of Applied Probability. - Cambridge : Cambridge University Press. - 0021-9002 .- 1475-6072. ; 43, s. 500-509
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Tidskriftsartikel (refereegranskat)abstract
- We find explicit analytical formulae for the time dependence of the probability of the number of Okazaki fragments produced during the process of DNA replication. This extends a result of Cowan on the asymptotic probability distribution of these fragments.
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| 2. |
- Bartoszek, Krzysztof, 1984-
(författare)
-
A Graph – String Model of Gene Assembly in Ciliates
- 2006
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Ingår i: Zeszyty Naukowe Wydzialu ETI Politechniki Gdanskiej. ; , s. 521-534
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Konferensbidrag (refereegranskat)abstract
- The ciliates are a family of unicellular organisms that characterize themselves by having two types of nuclei, micro - and macronuclei. During cell mating the genetic material must change from the micronuclei to the macronuclei form. The paper summarises a formal model for this change. The model, which is described in recent works, is based on strings and graphs. It shows that inside the cell complex computational operations have to take place.
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| 3. |
- Bartoszek, Krzysztof, 1984-
(författare)
-
A Graph – String Model of Gene Assembly in Ciliates [Grafowo-tekstowy model rekombinacji DNA u orzęsek]
- 2006
-
Ingår i: Zeszyty Naukowe Wydzialu ETI Politechniki Gdanskiej. ; , s. 521-534
-
Konferensbidrag (refereegranskat)abstract
- The ciliates are a family of unicellular organisms that characterize themselves by having two types of nuclei, micro - and macronuclei. During cell mating the genetic material must change from the micronuclei to the macronuclei form. The paper summarises a formal model for this change. The model, which is described in recent works, is based on strings and graphs. It shows that inside the cell complex computational operations have to take place.
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| 4. |
- Bartoszek, Krzysztof, 1984-, et al.
(författare)
-
Moments of the Distribution of Okazaki Fragments
- 2006
-
Ingår i: Rose–Hulman Undergraduate Mathematics Journal. - : Department of Mathematics, Rose-Hulman Institute of Technology, Poland. ; 7:2
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Tidskriftsartikel (refereegranskat)abstract
- This paper is a continuation of Bartoszek & Bartoszek (2006) who provide formulae for the probability distributions of the number of Okazaki fragments at time t during the process of DNA replication. Given the expressions for the moments of the probability distribution of the number of Okazaki fragments at time t in the recursive form, we evaluated formulae for the third and fourth moments, using Mathematica, and obtained results in explicit form. Having done this, we calculated the distribution’s skewness and kurtosis.
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| 5. |
- Bartoszek, Krzysztof, 1984-, et al.
(författare)
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Neural Network Breast Cancer Relapse Time Prognosis
- 2006
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Ingår i: ASO Summer School 2006 Abstract Book. ; , s. 8-10, s. 8-10
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Konferensbidrag (övrigt vetenskapligt/konstnärligt)abstract
- This paper is a result of a project at the Faculty of Electronics, Telecommunication and Computer Science (Technical University of Gdansk). The aim of the project was to create a neural network to predict the relapsetime of breast cancer. The neural network was to be trained on data collected over the past 20 years by dr. Jarosław Skokowski. The data includes 439 patient records described by about 40 parameters. For our neuralnetwork we only considered 6 medically most significant parameters the number of nodes showing evidence of cancer, size of tumour (in mm.), age, bloom score, estrogen receptors and proestrogen receptors and the relapsetime as the outcome. Our neural network was created in the MATLAB environment.
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| 6. |
- Bartoszek, Krzysztof, 1984-
(författare)
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The Bootstrap and Other Methods of Testing Phylogenetic Trees
- 2007
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Ingår i: Zeszyty Naukowe Wydzialu ETI Politechniki Gdanskiej. ; , s. 103-108
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Konferensbidrag (refereegranskat)abstract
- The final step of a phylogenetic analysis is the test of the generated tree. This is not a easy task for which there is an obvious methodology because we do not know the full probabilistic model of evolution. A number of methods have been proposed but there is a wide debate concerning the interpretations of the results they produce.
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| 7. |
- Bartoszek, Krzysztof, 1984-, et al.
(författare)
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The Fundamental Group, Covering Spaces and Topology in Biology
- 2006
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Ingår i: Conference materials IX International Workshop for Young Mathematicians. ; , s. 19-29, s. 19-29
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Konferensbidrag (övrigt vetenskapligt/konstnärligt)abstract
- Abstract. We give a short introduction to homotopy theory. We pass to the concepts of a pointed space (X, x0), the fundamental group of X, a simply connected space (with the example of the space contractible to a point), introduce basic concepts of covering spaces (e.g. covering map/space, fiber over x, Path lifting Theorem). With the use of the exponential map and the idea of the index of a loop, we show that the fundamental group of the circle S1 is isomorphic to the integers Z with addition. We mention some other interesting fundamental groups (e.g. the fundamental group of a torus or of thefigure eight). We also present some very interesting applications of topological concepts in Molecular Biology.
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