Interplay of aging and hypertension in cardiac remodeling: A mathematical geometric model

Wei Ting Chang, Jung-San Chen, Meng Hang Tsai, Wei-Chuan Tsai, Jer Nan Juang, Ping-Yen Liu

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Hypertensive disorder can cause cardiac deformities. Elastic characteristic parameters, like Young's modulus of elasticity (E) derived from a traditional cylindrical model, increase significantly with aging. However, the geometric and component changes of aging hearts because of chronic hypertension remain unknown. To better describe the effects, we propose an elliptical elastic and mathematical model to evaluate myocardial stiffness. Ninetysix hypertensive patients (HTNPos ) (men: 59.3%; age ô 65 years: 20.8%) were enrolled and compared with normotensive controls (HTNNeg ) (n = 47, 48.9%). HTNPos patients had a thicker interventricular septum in diastole (IVSd) (HTNPos : 0.96 ± 0.21 cm vs. HTNNeg : 0.77 ± 0.15; p = 0.005) and higher intracardiac pressure (e/e0 : 9.06 ± 4.85 cm vs. 7.76 ± 3.41; p = 0.01), especially the elderly (> 65 years) (IVSd: 1.03 ± 0.19 cm, e/e0 : 11.39 ± 1.99; p = 0.006 and 0.01, respectively). Nevertheless, the internal dimension decreased more significantly in the HTNPos rather than in the HTNNeg elderly (5.23 ± 0.46 vs. 4.74 ± 0.69 cm; p = 0.02). We found different directions of cardiac remodeling with normotensive and hypertensive loads. Different from the longitudinal and circumferential strain, E and Poisson's ratio (õ) are values that directly present the rigidity of myocardium. E was significantly higher in the elderly (8011.92 ± 2431.85 vs. 6052.43 ± 3121.50; p = 0.02), whereas õ was significantly higher in all HTNPos patients (0.73 ± 0.12 vs. 0.61 ± 0.07; p < 0.001). Because E and õ reflected the material changes of myocardium in the HTNPos elderly, the proposed elliptical mathematical heart model better describes the geometric deformity induced by aging and hypertension.

Original languageEnglish
Article numbere0168071
JournalPLoS ONE
Volume11
Issue number12
DOIs
Publication statusPublished - 2016 Dec 1

Fingerprint

hypertension
Theoretical Models
Aging of materials
Mathematical models
myocardium
Hypertension
modulus of elasticity
Diastole
Elastic Modulus
Elastic moduli
heart
Myocardium
Poisson ratio
Rigidity
Loads (forces)
mathematical models
Stiffness
Pressure
Direction compound

All Science Journal Classification (ASJC) codes

  • Biochemistry, Genetics and Molecular Biology(all)
  • Agricultural and Biological Sciences(all)

Cite this

@article{7b6ddf8fb0344c939459917a851750bc,
title = "Interplay of aging and hypertension in cardiac remodeling: A mathematical geometric model",
abstract = "Hypertensive disorder can cause cardiac deformities. Elastic characteristic parameters, like Young's modulus of elasticity (E) derived from a traditional cylindrical model, increase significantly with aging. However, the geometric and component changes of aging hearts because of chronic hypertension remain unknown. To better describe the effects, we propose an elliptical elastic and mathematical model to evaluate myocardial stiffness. Ninetysix hypertensive patients (HTNPos ) (men: 59.3{\%}; age {\^o} 65 years: 20.8{\%}) were enrolled and compared with normotensive controls (HTNNeg ) (n = 47, 48.9{\%}). HTNPos patients had a thicker interventricular septum in diastole (IVSd) (HTNPos : 0.96 ± 0.21 cm vs. HTNNeg : 0.77 ± 0.15; p = 0.005) and higher intracardiac pressure (e/e0 : 9.06 ± 4.85 cm vs. 7.76 ± 3.41; p = 0.01), especially the elderly (> 65 years) (IVSd: 1.03 ± 0.19 cm, e/e0 : 11.39 ± 1.99; p = 0.006 and 0.01, respectively). Nevertheless, the internal dimension decreased more significantly in the HTNPos rather than in the HTNNeg elderly (5.23 ± 0.46 vs. 4.74 ± 0.69 cm; p = 0.02). We found different directions of cardiac remodeling with normotensive and hypertensive loads. Different from the longitudinal and circumferential strain, E and Poisson's ratio ({\~o}) are values that directly present the rigidity of myocardium. E was significantly higher in the elderly (8011.92 ± 2431.85 vs. 6052.43 ± 3121.50; p = 0.02), whereas {\~o} was significantly higher in all HTNPos patients (0.73 ± 0.12 vs. 0.61 ± 0.07; p < 0.001). Because E and {\~o} reflected the material changes of myocardium in the HTNPos elderly, the proposed elliptical mathematical heart model better describes the geometric deformity induced by aging and hypertension.",
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Interplay of aging and hypertension in cardiac remodeling : A mathematical geometric model. / Chang, Wei Ting; Chen, Jung-San; Tsai, Meng Hang; Tsai, Wei-Chuan; Juang, Jer Nan; Liu, Ping-Yen.

In: PLoS ONE, Vol. 11, No. 12, e0168071, 01.12.2016.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Interplay of aging and hypertension in cardiac remodeling

T2 - A mathematical geometric model

AU - Chang, Wei Ting

AU - Chen, Jung-San

AU - Tsai, Meng Hang

AU - Tsai, Wei-Chuan

AU - Juang, Jer Nan

AU - Liu, Ping-Yen

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N2 - Hypertensive disorder can cause cardiac deformities. Elastic characteristic parameters, like Young's modulus of elasticity (E) derived from a traditional cylindrical model, increase significantly with aging. However, the geometric and component changes of aging hearts because of chronic hypertension remain unknown. To better describe the effects, we propose an elliptical elastic and mathematical model to evaluate myocardial stiffness. Ninetysix hypertensive patients (HTNPos ) (men: 59.3%; age ô 65 years: 20.8%) were enrolled and compared with normotensive controls (HTNNeg ) (n = 47, 48.9%). HTNPos patients had a thicker interventricular septum in diastole (IVSd) (HTNPos : 0.96 ± 0.21 cm vs. HTNNeg : 0.77 ± 0.15; p = 0.005) and higher intracardiac pressure (e/e0 : 9.06 ± 4.85 cm vs. 7.76 ± 3.41; p = 0.01), especially the elderly (> 65 years) (IVSd: 1.03 ± 0.19 cm, e/e0 : 11.39 ± 1.99; p = 0.006 and 0.01, respectively). Nevertheless, the internal dimension decreased more significantly in the HTNPos rather than in the HTNNeg elderly (5.23 ± 0.46 vs. 4.74 ± 0.69 cm; p = 0.02). We found different directions of cardiac remodeling with normotensive and hypertensive loads. Different from the longitudinal and circumferential strain, E and Poisson's ratio (õ) are values that directly present the rigidity of myocardium. E was significantly higher in the elderly (8011.92 ± 2431.85 vs. 6052.43 ± 3121.50; p = 0.02), whereas õ was significantly higher in all HTNPos patients (0.73 ± 0.12 vs. 0.61 ± 0.07; p < 0.001). Because E and õ reflected the material changes of myocardium in the HTNPos elderly, the proposed elliptical mathematical heart model better describes the geometric deformity induced by aging and hypertension.

AB - Hypertensive disorder can cause cardiac deformities. Elastic characteristic parameters, like Young's modulus of elasticity (E) derived from a traditional cylindrical model, increase significantly with aging. However, the geometric and component changes of aging hearts because of chronic hypertension remain unknown. To better describe the effects, we propose an elliptical elastic and mathematical model to evaluate myocardial stiffness. Ninetysix hypertensive patients (HTNPos ) (men: 59.3%; age ô 65 years: 20.8%) were enrolled and compared with normotensive controls (HTNNeg ) (n = 47, 48.9%). HTNPos patients had a thicker interventricular septum in diastole (IVSd) (HTNPos : 0.96 ± 0.21 cm vs. HTNNeg : 0.77 ± 0.15; p = 0.005) and higher intracardiac pressure (e/e0 : 9.06 ± 4.85 cm vs. 7.76 ± 3.41; p = 0.01), especially the elderly (> 65 years) (IVSd: 1.03 ± 0.19 cm, e/e0 : 11.39 ± 1.99; p = 0.006 and 0.01, respectively). Nevertheless, the internal dimension decreased more significantly in the HTNPos rather than in the HTNNeg elderly (5.23 ± 0.46 vs. 4.74 ± 0.69 cm; p = 0.02). We found different directions of cardiac remodeling with normotensive and hypertensive loads. Different from the longitudinal and circumferential strain, E and Poisson's ratio (õ) are values that directly present the rigidity of myocardium. E was significantly higher in the elderly (8011.92 ± 2431.85 vs. 6052.43 ± 3121.50; p = 0.02), whereas õ was significantly higher in all HTNPos patients (0.73 ± 0.12 vs. 0.61 ± 0.07; p < 0.001). Because E and õ reflected the material changes of myocardium in the HTNPos elderly, the proposed elliptical mathematical heart model better describes the geometric deformity induced by aging and hypertension.

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