A discrete in continuous mathematical model of cardiac progenitor cells formation and growth as spheroid clusters (Cardiospheres). (23rd January 2017)

• Record Type: Journal Article
• Authors: Di Costanzo, Ezio; Giacomello, Alessandro; Messina, Elisa; Natalini, Roberto; Pontrelli, Giuseppe; Rossi, Fabrizio; Smits, Robert; Twarogowska, Monika
• Is Part Of: Mathematical medicine and biology. Volume 35:Number 1(2018)
• Page Start: 121
• Page End: 144
• Publication Date: 2017-01-23
• Subjects: mathematical biology -- differential equations -- hybrid models -- Poisson stochastic process -- collective dynamics -- cell movements -- cellular signalling -- chemotaxis -- stem cells -- Cardiospheres; Biomathematics -- Periodicals; Medicine -- Mathematics -- Periodicals; Medicine -- Periodicals; Biology -- Periodicals; Biomedical Research -- Periodicals; Models, Theoretical -- Periodicals; 570.15195
• DOI: 10.1093/imammb/dqw022
• Languages: English
• ISSNs: 1477-8599

Abstract

Abstract: We propose a discrete in continuous mathematical model describing the in vitro growth process of biophsy-derived mammalian cardiac progenitor cells growing as clusters in the form of spheres ( Cardiospheres ). The approach is hybrid: discrete at cellular scale and continuous at molecular level. In the present model, cells are subject to the self-organizing collective dynamics mechanism and, additionally, they can proliferate and differentiate, also depending on stochastic processes . The two latter processes are triggered and regulated by chemical signals present in the environment. Numerical simulations show the structure and the development of the clustered progenitors and are in a good agreement with the results obtained from in vitro experiments.