TY - JOUR
T1 - A 3D Mathematical Model of Coupled Stem Cell-Nutrient Dynamics in Myocardial Regeneration Therapy
AU - Leon Trujillo, Francisco J.
AU - Bersani, Alberto Maria
AU - Andreucci, Daniele
AU - Marconi, Silvia
AU - Bersani, Enrico
N1 - Funding Information:
The first two authors are members of the Gruppo Nazionale per la Fisica Matematica (GNFM) of the Istituto Nazionale di Alta Matematica (INdAM). The fourth author is member of the Instituto de Investigación Científica de la Universidad de Lima (IDIC).
Publisher Copyright:
© 2022 Elsevier Ltd
PY - 2022/3/1
Y1 - 2022/3/1
N2 - Stem cell therapy is a promising treatment for the regeneration of myocardial tissue injured by an ischemic event. Mathematical modeling of myocardial regeneration via stem cell therapy is a challenging task, since the mechanisms underlying the processes involved in the treatment are not yet fully understood. Many aspects must be accounted for, such as the spread of stem cells and nutrients, chemoattraction, cell proliferation, stages of cell maturation, differentiation, angiogenesis, stochastic effects, just to name a few. In this paper we propose a 3D mathematical model with a free boundary that aims to provide a qualitative description of some main aspects of the stem cell regenerative therapy in a simplified scenario. The paper mainly focuses on the description of the shrinking of the necrotic core during treatment. The stem cell and nutrients dynamics are described through coupled reaction-diffusion problems. Proliferation, chemoattraction, tissue regeneration and nutrient consumption are included in the model.
AB - Stem cell therapy is a promising treatment for the regeneration of myocardial tissue injured by an ischemic event. Mathematical modeling of myocardial regeneration via stem cell therapy is a challenging task, since the mechanisms underlying the processes involved in the treatment are not yet fully understood. Many aspects must be accounted for, such as the spread of stem cells and nutrients, chemoattraction, cell proliferation, stages of cell maturation, differentiation, angiogenesis, stochastic effects, just to name a few. In this paper we propose a 3D mathematical model with a free boundary that aims to provide a qualitative description of some main aspects of the stem cell regenerative therapy in a simplified scenario. The paper mainly focuses on the description of the shrinking of the necrotic core during treatment. The stem cell and nutrients dynamics are described through coupled reaction-diffusion problems. Proliferation, chemoattraction, tissue regeneration and nutrient consumption are included in the model.
KW - Convection-diffusion-reaction equations
KW - Free boundary problem
KW - Myocardial regeneration
KW - Stem cell therapy
UR - https://hdl.handle.net/20.500.12724/17918
UR - http://www.scopus.com/inward/record.url?scp=85123732752&partnerID=8YFLogxK
U2 - 10.1016/j.jtbi.2022.111023
DO - 10.1016/j.jtbi.2022.111023
M3 - Artículo (Contribución a Revista)
VL - 537
SP - 111023
JO - Journal of Theoretical Biology
JF - Journal of Theoretical Biology
M1 - 111023
ER -