ESTIMATION OF PARAMETERS IN A PLANAR SEGMENT PROCESS WITH A BIOLOGICAL APPLICATION

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10364560" target="_blank" >RIV/00216208:11320/17:10364560 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.5566/ias.1627" target="_blank" >http://dx.doi.org/10.5566/ias.1627</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.5566/ias.1627" target="_blank" >10.5566/ias.1627</a>

Jazyk výsledku

angličtina

Název v původním jazyce

ESTIMATION OF PARAMETERS IN A PLANAR SEGMENT PROCESS WITH A BIOLOGICAL APPLICATION

Popis výsledku v původním jazyce

The paper deals with modeling of segment systems in a bounded planar set ( a cell) by means of random segment processes. Two models with a density with respect to the Poisson process are presented. In model I interactions are given by the number of intersections, model II includes the length distribution and takes into account distances from the centre of the cell. The estimation of parameters of the models is suggested based on Takacz-Fiksel method. The method is tested first using simulated data. Further the real data from fluorescence imaging of stress fibres in mesenchymal human stem cells are evaluated. We apply model II which is inhomogeneous. The degree-of-fit testing of the model using various characteristics yields quite satisfactory results.

Název v anglickém jazyce

ESTIMATION OF PARAMETERS IN A PLANAR SEGMENT PROCESS WITH A BIOLOGICAL APPLICATION

Popis výsledku anglicky

The paper deals with modeling of segment systems in a bounded planar set ( a cell) by means of random segment processes. Two models with a density with respect to the Poisson process are presented. In model I interactions are given by the number of intersections, model II includes the length distribution and takes into account distances from the centre of the cell. The estimation of parameters of the models is suggested based on Takacz-Fiksel method. The method is tested first using simulated data. Further the real data from fluorescence imaging of stress fibres in mesenchymal human stem cells are evaluated. We apply model II which is inhomogeneous. The degree-of-fit testing of the model using various characteristics yields quite satisfactory results.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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OECD FORD obor

10103 - Statistics and probability

Projekt

<a href="/cs/project/GA16-03708S" target="_blank" >GA16-03708S: Prostorová geometrická statistika náhodných množin v eukleidovských prostorech</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Image Analysis and Stereology

ISSN

1580-3139

e-ISSN

—

Svazek periodika

36

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

SI - Slovinská republika

Počet stran výsledku

9

Strana od-do

25-33

Kód UT WoS článku

000401821500004

EID výsledku v databázi Scopus

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