Search results for: Krzysztof Bartoszek

Items from 1 to 20 out of 28 results

article

Sunshine duration in Poland from ground‐ and satellite‐based data

Dorota Matuszko, Krzysztof Bartoszek, Jakub Soroka, Stanisław Węglarczyk

International Journal of Climatology > 40 > 9 > 4259 - 4271

The aim of the study is to characterise the spatial variability of sunshine duration in Poland. The study used ground‐based and satellite‐based data from 1983 to 2018 multi‐annual period, from the territory of Poland. The ground‐based data include daily sums of sunshine duration from 29 Institute of Meteorology and Water Management—National Research Institute stations and two stations of the Jagiellonian...

article

16S rRNAgene‐based metagenomic analysis of the gut microbial community associated with the DUI species Unio crassus (Bivalvia: Unionidae)

Monika Mioduchowska, Katarzyna Zając, Krzysztof Bartoszek, Piotr Madanecki, more

Journal of Zoological Systematics and Evolutionary Research > 58 > 2 > 615 - 623

What factors determine biome richness: genetic or environmental? Sex, phylogeny, and tolerance indicated by other symbionts (e.g., endosymbionts) or simply is it related to local habitat, especially if the gut biome is considered? To answer these questions, we investigated the gut microbial profile of both sexes of three Unio crassus populations, species with unique system of mitochondrial DNA inheritance...

article

Using multitype branching models to analyze bacterial pathogenicity

Daniah Tahir, Ingemar Kaj, Krzysztof Bartoszek, Marta Majchrzak, more

Mathematica Applicanda > 2020 > 48

We apply multitype, continuous time, Markov branching models to study pathogenicity in E. coli, a bacterium belonging to the genus Escherichia. First, we examine briefly, the properties of multitype branching processes and we also survey some fundamental limit theorems regarding the behavior of such models under various conditions. These theorems are then applied to discrete, state dependent models,...

article

PSICA: Decision trees for probabilistic subgroup identification with categorical treatments

Oleg Sysoev, Krzysztof Bartoszek, Eva‐Charlotte Ekström, Katarina Ekholm Selling

Statistics in Medicine > 38 > 22 > 4436 - 4452

Personalized medicine aims at identifying best treatments for a patient with given characteristics. It has been shown in the literature that these methods can lead to great improvements in medicine compared to traditional methods prescribing the same treatment to all patients. Subgroup identification is a branch of personalized medicine, which aims at finding subgroups of the patients with similar...

article

Simulating an infinite mean waiting time

Krzysztof Bartoszek

Mathematica Applicanda > 2019 > Vol. 47, no. 1 > 93--102

We consider a hybrid method to simulate the return time to the initial state in a critical-case birth-death process. The expected value of this return time is infinite, but its distribution asymptotically follows a power-law. Hence, the simulation approach is to directly simulate the process, unless the simulated time exceeds some threshold and if it does, draw the return time from the tail of the...

article

Simulating an infinite mean waiting time

Krzysztof Bartoszek

Mathematica Applicanda > 2019 > 47 > 1

article

Multi–omic analysis of signalling factors in inflammatory comorbidities

Hui Xiao, Krzysztof Bartoszek, Pietro Lio’

BMC Bioinformatics > 2018 > 19 > 15 > 1-18

Background Inflammation is a core element of many different, systemic and chronic diseases that usually involve an important autoimmune component. The clinical phase of inflammatory diseases is often the culmination of a long series of pathologic events that started years before. The systemic characteristics and related mechanisms could be investigated through the multi–omic comparative analysis of...

article

Exact and approximate limit behaviour of the Yule tree’s cophenetic index

Krzysztof Bartoszek

Mathematical Biosciences > 2018 > 303 > C > 26-45

In this work we study the limit distribution of an appropriately normalized cophenetic index of the pure–birth tree conditioned on n contemporary tips. We show that this normalized phylogenetic balance index is a submartingale that converges almost surely and in L². We link our work with studies on trees without branch lengths and show that in this case the limit distribution is a contraction–type...

article

Synoptyczne uwarunkowania napływu mas powietrza polarnego nad Lubelszczyznę

Bogusław Michał Kaszewski, Krzysztof Bartoszek, Andrzej Gluza

Annales Universitatis Mariae Curie-Sklodowska, sectio B – Geographia,... > 2018 > 73

Celem opracowania jest charakterystyka częstości i uwarunkowań synoptycznych napływu mas powietrza polarnego nad obszar Lubelszczyzny. Ich występowanie w ujęciu regionalnym określono dla godziny 12 UTC na podstawie dolnych map synoptycznych PIHM/IMGW-PIB z okresu 1951–2010. Częstość napływu mas powietrza polarnego (morskiego „świeżego” – PPm, morskiego starego – PPms, morskiego ciepłego – PPmc i kontynentalnego...

article

The phylogenetic effective sample size and jumps

Krzysztof Bartoszek

Mathematica Applicanda > 2018 > 46 > 1

The phylogenetic effective sample size is a parameter that has as its goal the quantification of the amount of independent signal in a phylogenetically correlatedsample. It was studied for Brownian motion and Ornstein-Uhlenbeck models of trait evolution. Here, we study this composite parameter when the trait is allowedto jump at speciation points of the phylogeny. Our numerical study indicates thatthere...

article

Weak Stability of Centred Quadratic Stochastic Operators

Krzysztof Bartoszek, Joachim Domsta, Małgorzata Pułka

Bulletin of the Malaysian Mathematical Sciences Society > 2019 > 42 > 4 > 1813-1830

We consider the weak convergence of iterates of so-called centred quadratic stochastic operators. These iterations allow us to study the discrete time evolution of probability distributions of vector-valued traits in populations of inbreeding or hermaphroditic species, whenever the offspring’s trait is equal to an additively perturbed arithmetic mean of the parents’ traits. It is shown that for the...

article

Using the Ornstein–Uhlenbeck process to model the evolution of interacting populations

Krzysztof Bartoszek, Sylvain Glémin, Ingemar Kaj, Martin Lascoux

Journal of Theoretical Biology > 2017 > 429 > C > 35-45

The Ornstein–Uhlenbeck (OU) process plays a major role in the analysis of the evolution of phenotypic traits along phylogenies. The standard OU process includes random perturbations and stabilizing selection and assumes that species evolve independently. However, evolving species may interact through various ecological process and also exchange genes especially in plants. This is particularly true...

article

A Noether theorem for stochastic operators on Schatten classes

Krzysztof Bartoszek, Wojciech Bartoszek

Journal of Mathematical Analysis and Applications > 2017 > 452 > 2 > 1395-1412

We show that a stochastic (Markov) operator S acting on a Schatten class C1 satisfies the Noether condition (i.e. S′(A)=A and S′(A2)=A2, where A∈C∞ is a Hermitian and bounded operator on a fixed separable and complex Hilbert space (H,〈⋅,⋅〉)), if and only if S(EA(G)XEA(G))=EA(G)S(X)EA(G) for any state X∈C1 and all Borel sets G⊆R, where EA(G) denotes the orthogonal projection coming from the spectral...

article

The atmospheric circulation conditions of the occurrence of heatwaves in Lublin, southeast Poland

Krzysztof Bartoszek, Agnieszka Krzyżewska

Weather > 72 > 6 > 176 - 180

Characteristics of heatwaves in Lublin in the years 1951–2015, along with a description of the circulation conditions of heatwaves, are discussed in this paper. A heatwave is defined as the occurrence of at least 3 consecutive days with an air temperature Tx > 30 °C. It can be affected by circulation patterns, which are presented in the form of average distribution maps (i.e. sea level pressure...

article

Synoptyczne uwarunkowania napływu mas powietrza arktycznego i zwrotnikowego nad Lubelszczyznę

Bogusław Michał Kaszewski, Krzysztof Bartoszek, Andrzej Gluza

Annales Universitatis Mariae Curie-Sklodowska, sectio B – Geographia,... > 2017 > 72 > 2

Celem opracowania jest charakterystyka częstości i uwarunkowań synoptycznych napływu mas powietrza arktycznego i zwrotnikowego nad obszar Lubelszczyzny. Ich występowanie w ujęciu regionalnym określono dla godziny 12 UTC na podstawie dolnych map synoptycznych PIHM/IMGW z okresu 1951-2010. Do oceny uwarunkowań synoptycznych napływu analizowanych mas powietrza wykorzystano kalendarz typów cyrkulacji...

article

Relacje między cyrkulacją atmosferyczną a sezonową temperaturą powietrza na obszarze Lubelszczyzny

Krzysztof Bartoszek

Annales Universitatis Mariae Curie-Sklodowska, sectio B – Geographia,... > 2017 > 72 > 1

W pracy dokonano oceny relacji między cyrkulacją atmosferyczną a sezonową temperaturą powietrza na Lubelszczyźnie w latach 1951-2010. Ponadto określono związki między występowaniem na tym obszarze ekstremalnie ciepłych i chłodnych pór roku z anomaliami ciśnienia atmosferycznego w regionie atlantycko-europejskim. Do tego celu wykorzystano klasyfikację typów cyrkulacji dla obszaru Europy Środkowo-Wschodniej...

article

Phylogenetic effective sample size

Krzysztof Bartoszek

Journal of Theoretical Biology > 2016 > 407 > C > 371-386

In this paper I address the question—how large is a phylogenetic sample? I propose a definition of a phylogenetic effective sample size for Brownian motion and Ornstein–Uhlenbeck processes—the regression effective sample size. I discuss how mutual information can be used to define an effective sample size in the non-normal process case and compare these two definitions to an already present concept...

article

The main characteristics of atmospheric circulation over East-Central Europe from 1871 to 2010

Krzysztof Bartoszek

Meteorology and Atmospheric Physics > 2017 > 129 > 2 > 113-129

The main objective of the paper concerns the determination of the annual and multi-annual variability of air flow over East-Central Europe in the period 1871–2010. Daily mean sea-level pressure and values of physical quantities provided the basis for distinguishing 27 circulation types, i.e., eight directional cyclonic, transitional, and anticyclonic types, and one non-directional cyclonic, anticyclonic,...

article

Prevalence Problem in the Set of Quadratic Stochastic Operators Acting on $$L^{1}$$ L 1

Krzysztof Bartoszek, Małgorzata Pułka

Bulletin of the Malaysian Mathematical Sciences Society > 2018 > 41 > 1 > 159-173

This paper is devoted to the study of the problem of prevalence in the class of quadratic stochastic operators acting on the $$L^{1}$$ L 1 space for the uniform topology. We obtain that the set of norm quasi-mixing quadratic stochastic operators is a dense and open set in the topology induced by a very natural metric. This shows the typical long-term behaviour of iterates of quadratic...

article

A consistent estimator of the evolutionary rate

Krzysztof Bartoszek, Serik Sagitov

Journal of Theoretical Biology > 2015 > 371 > C > 69-78

We consider a branching particle system where particles reproduce according to the pure birth Yule process with the birth rate λ, conditioned on the observed number of particles to be equal to n. Particles are assumed to move independently on the real line according to the Brownian motion with the local variance σ². In this paper we treat n particles as a sample of related species. The spatial Brownian...

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INFONA - science communication portal

Search results for: Krzysztof Bartoszek

Sunshine duration in Poland from ground‐ and satellite‐based data

16S rRNAgene‐based metagenomic analysis of the gut microbial community associated with the DUI species Unio crassus (Bivalvia: Unionidae)

Using multitype branching models to analyze bacterial pathogenicity

PSICA: Decision trees for probabilistic subgroup identification with categorical treatments

Simulating an infinite mean waiting time

Simulating an infinite mean waiting time

Multi–omic analysis of signalling factors in inflammatory comorbidities

Exact and approximate limit behaviour of the Yule tree’s cophenetic index

Synoptyczne uwarunkowania napływu mas powietrza polarnego nad Lubelszczyznę

The phylogenetic effective sample size and jumps

Weak Stability of Centred Quadratic Stochastic Operators

Using the Ornstein–Uhlenbeck process to model the evolution of interacting populations

A Noether theorem for stochastic operators on Schatten classes

The atmospheric circulation conditions of the occurrence of heatwaves in Lublin, southeast Poland

Synoptyczne uwarunkowania napływu mas powietrza arktycznego i zwrotnikowego nad Lubelszczyznę

Relacje między cyrkulacją atmosferyczną a sezonową temperaturą powietrza na obszarze Lubelszczyzny

Phylogenetic effective sample size

The main characteristics of atmospheric circulation over East-Central Europe from 1871 to 2010

Prevalence Problem in the Set of Quadratic Stochastic Operators Acting on $$L^{1}$$ L 1

A consistent estimator of the evolutionary rate

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