@inbook{dd64bd3bfc674a77849fe0c05d3e8614,

title = "Probabilistic approach to a cell growth model",

abstract = "We consider the time evolution of the supercritical Galton-Watson model of branching particles with extra parameter (mass). In the moment of the division the mass of the particle (which is growing linearly after the birth) is divided in random proportion between two offsprings (mitosis). Using the technique of moment equations we study asymptotics of the mass distribution of the particles. Mass distribution of the particles is the solution of the equation with linearly transformed argument: functional, functional-differential or integral. We derive several limit theorems describing the fluctuations of the density of the particles, first two moments of the total masses etc.",

author = "Gregory Derfel and Yaqin Feng and Stanislav Molchanov",

note = "Funding Information: The third author was partially supported by Russian Science Foundation, Project No 17-11-01098. Funding Information: S.A.M. thankfully acknowledges hospitality and support provided by the Center for Advanced Studies in Mathematics (Ben-Gurion University) during his research visits in Beer-Sheva. Publisher Copyright: {\textcopyright}2019 American Mathematical Society.",

year = "2019",

month = jan,

day = "1",

doi = "10.1090/conm/734/14765",

language = "English",

series = "Contemporary Mathematics",

publisher = "American Mathematical Society",

pages = "95--106",

booktitle = "Contemporary Mathematics",

address = "United States",

}