Mathematical modeling of left ventricular dimensional changes in mice during aging

Tianyi Yang, Ying A. Chiao, Yunji Wang, Andrew Voorhees, Hai Chao Han, Merry L Lindsey, Yu Fang Jin

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

Cardiac aging is characterized by diastolic dysfunction of the left ventricle (LV), which is due in part to increased LV wall stiffness. In the diastolic phase, myocytes are relaxed and extracellular matrix (ECM) is a critical determinant to the changes of LV wall stiffness. To evaluate the effects of ECM composition on cardiac aging, we developed a mathematical model to predict LV dimension and wall stiffness changes in aging mice by integrating mechanical laws and our experimental results. We measured LV dimension, wall thickness, LV mass, and collagen content for wild type (WT) C57/BL6J mice of ages ranging from 7.3 months to those of 34.0 months. The model was established using the thick wall theory and stretch-induced tissue growth to an isotropic and homogeneous elastic composite with mixed constituents. The initial conditions of the simulation were set based on the data from the young mice. Matlab simulations of this mathematical model demonstrated that the model captured the major features of LV remodeling with age and closely approximated experimental results. Specifically, the temporal progression of the LV interior and exterior dimensions demonstrated the same trend and order-of-magnitude change as our experimental results. In conclusion, we present here a validated mathematical model of cardiac aging that applies the thick-wall theory and stretch-induced tissue growth to LV remodeling with age.

Original languageEnglish (US)
Article numberS10
JournalBMC systems biology
Volume6
Issue numberSUPPL3
DOIs
StatePublished - Dec 17 2012

Fingerprint

Left Ventricle
Mathematical Modeling
Heart Ventricles
Mouse
Aging of materials
Stiffness
Mathematical models
Tissue
Ventricular Remodeling
Theoretical Models
Cardiac
Remodeling
Extracellular Matrix
Collagen
Mathematical Model
Stretch
Experimental Results
Myocytes
Growth
Matlab Simulation

ASJC Scopus subject areas

  • Structural Biology
  • Modeling and Simulation
  • Molecular Biology
  • Computer Science Applications
  • Applied Mathematics

Cite this

Mathematical modeling of left ventricular dimensional changes in mice during aging. / Yang, Tianyi; Chiao, Ying A.; Wang, Yunji; Voorhees, Andrew; Han, Hai Chao; Lindsey, Merry L; Jin, Yu Fang.

In: BMC systems biology, Vol. 6, No. SUPPL3, S10, 17.12.2012.

Research output: Contribution to journalArticle

Yang, Tianyi ; Chiao, Ying A. ; Wang, Yunji ; Voorhees, Andrew ; Han, Hai Chao ; Lindsey, Merry L ; Jin, Yu Fang. / Mathematical modeling of left ventricular dimensional changes in mice during aging. In: BMC systems biology. 2012 ; Vol. 6, No. SUPPL3.
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