Some Numerical Results on Chemotactic Phenomena in Stem Cell Therapy for Cardiac Regeneration

Daniele Andreucci, Alberto M. Bersani (), Enrico Bersani, Paolo Caressa, Miguel Dumett, Francisco James Leon Trujillo, Silvia Marconi, Obidio Rubio and Yessica E. Zarate-Pedrera
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Daniele Andreucci: Department of Basic and Applied Sciences for Engineering, Sapienza University, 00185 Rome, Italy
Alberto M. Bersani: Department of Mechanical and Aerospace Engineering, Sapienza University, 00185 Rome, Italy
Enrico Bersani: International Research Center on Mathematics and Mechanics of Complex Systems (M&MOCS), 67100 L’Aquila, Italy
Paolo Caressa: International Research Center on Mathematics and Mechanics of Complex Systems (M&MOCS), 67100 L’Aquila, Italy
Miguel Dumett: Computational Science Research Center, San Diego State University, San Diego, CA 92182, USA
Francisco James Leon Trujillo: Instituto de Investigación Científica, Universidad de Lima, Santiago de Surco 15023, Peru
Silvia Marconi: International Research Center on Mathematics and Mechanics of Complex Systems (M&MOCS), 67100 L’Aquila, Italy
Obidio Rubio: Instituto de Investigación en Matemática, Departamento de Matemáticas, Universidad Nacional de Trujillo, Trujillo 13011, Peru
Yessica E. Zarate-Pedrera: Departamento de Matemáticas, Universidad Nacional de Trujillo, Trujillo 13011, Peru

Mathematics, 2024, vol. 12, issue 13, 1-15

Abstract: Biological models for cardiac regeneration and remodeling, along with the effects of cytokines or chemokines during the therapy with mesenchymal stem cells after a myocardial infarction, are of crucial importance for understanding the complex underlying mechanisms. This paper presents a mathematical model composed of three coupled partial differential equations that describes the dynamics of stem cells, nutrients and chemokines, highlighting the fundamental role of the chemokines during the myocardial tissue regeneration process. The system is solved numerically using mimetic difference operators and the MOLE library for MATLAB. The results show the tissue regeneration process in the necrotic part closest to the cell implantation area.

Keywords: reaction–diffusion equations; free boundary problem; mimetic difference operators; stem cell therapy; chemokines; chemotaxis (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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