Apparent growth tensor of left ventricular post myocardial infarction – In human first natural history study

Li, Wenguang; Gao, Hao; Mangion, Kenneth; Berry, Colin; Luo, Xiaoyu

doi:10.1016/j.compbiomed.2020.104168

Cited by 9 publications

(11 citation statements)

References 55 publications

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“…In vessels of diameter larger than approximately 80-100 μm, blood can be treated as a unique continuum fluid showing a non-Newtonian shear-thinning behaviour. This property is mostly attributed to RBC deformability with the viscosity values depending exponentially on the haematocrit (Linderkamp, Stadler & Zilow 1992). In figure 11(a), we report some measurements performed in a Taylor-Couette rheometer for several haematocrit values by Brooks, Goodwin & Seaman (1970) with curves that can be well described by the empirical fit…”

Section: The Bloodmentioning

confidence: 96%

“…Continuum mechanotransduction models can be very useful for anticipating the long-term outcome of a surgical procedure, the evolution of abnormal haemodynamics or the progression of a disease diagnosed at the initial stage (Li et al. 2009); these innovative combinations of clinical observations and computational science are the basis of precision medicine which takes into account individual variability to predict more accurately treatments and prevention strategies.…”

Section: Outlook and Closing Remarksmentioning

confidence: 99%

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Electro-fluid-mechanics of the heart

Verzicco

2022

J. Fluid Mech.

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This article presents an overview of the dynamics of the human heart and the main goal is the discussion of its fluid mechanic features. We will see, however, that the flow in the heart can not be fully described without considering its electrophysiology and elastomechanics as well as the interaction with the systemic and pulmonary circulations with which it is strongly connected. Biologically, the human heart is similar to that of all warm-blooded mammals and it satisfies the same allometric laws. Since the Paleolithic Age, however, humans have improved their living conditions, have modified the environment to satisfy their needs and, more recently, have developed advanced medical knowledge which has allowed triple the number of heartbeats with respect to other mammals. In the last century, effective diagnostic tools, reliable surgical procedures and prosthetic devices have been developed and refined leading to substantial progress in cardiology and heart surgery with routine clinical practice which nowadays cures many disorders, once lethal. Pulse duplicators have been built to reproduce the pulsatile flow and ‘blood analogues’, have been realized. Heart phantoms, can attain deformations similar to the real heart although the active contraction and the tissue anisotropy still can not be replicated. Numerical models have also become a viable alternative for cardiovascular research: they do not suffer from limitations of material properties and device technologies, thus making possible the realization of truly digital twins. Unfortunately, a high-fidelity model for the whole heart consists of a system of coupled, nonlinear partial differential equations with a number of degrees of freedom of the order of a billion and computational costs become the bottleneck. An additional challenge comes from the inherent human variability and the uncertainty of the heart parameters whose statistical assessment requires a campaign of simulations rather than a single deterministic calculation; reduced and surrogate models can be employed to alleviate the huge computational burden and all possibilities are currently being pursued. In the era of big data and artificial intelligence, cardiovascular research is also advancing by exploiting the latest technologies: equation-based augmented reality, virtual surgery and computational prediction of disease progression are just a few examples among many that will become standard practice in the forthcoming years.

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Section: The Bloodmentioning

confidence: 96%

Section: Outlook and Closing Remarksmentioning

confidence: 99%

Electro-fluid-mechanics of the heart

Verzicco

2022

J. Fluid Mech.

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“…This assumption is widely accepted by the community and seems to hold for the left ventricle (Li et al. 2021 ). Consequently, all the incremental growth tensors are also diagonal.…”

Section: Volumetric Growth Theoriesmentioning

confidence: 97%

“…For simplicity, we assume that the growth tensor is diagonal for a fibrereinforced material. This assumption is widely accepted by the community and seems to hold for the left ventricle (Li et al 2021). Consequently, all the incremental growth tensors are also diagonal.…”

Section: Incremental Growth Lawmentioning

confidence: 98%

Volumetric growth of soft tissues evaluated in the current configuration

Zhuan

Luo

2022

Biomech Model Mechanobiol

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The growth and remodelling of soft tissues plays a significant role in many physiological applications, particularly in understanding and managing many diseases. A commonly used approach for soft tissue growth and remodelling is volumetric growth theory, introduced in the framework of finite elasticity. In such an approach, the total deformation gradient tensor is decomposed so that the elastic and growth tensors can be studied separately. A critical element in this approach is to determine the growth tensor and its evolution with time. Most existing volumetric growth theories define the growth tensor in the reference (natural) configuration, which does not reflect the continuous adaptation processes of soft tissues under the current configuration. In a few studies where growth from a loaded configuration was considered, simplifying assumptions, such as compatible deformation or geometric symmetries, were introduced. In this work, we propose a new volumetric growth law that depends on fields evaluated in the current configuration, which is residually stressed and loaded, without any geometrical restrictions. We illustrate our idea using a simplified left ventricle model, which admits inhomogeneous growth in the current configuration. We compare the residual stress distribution of our approach with the traditional volumetric growth theory, that assumes growth occurring from the natural reference configuration. We show that the proposed framework leads to qualitative agreements with experimental measurements. Furthermore, using a cylindrical model, we find an incompatibility index that explains the differences between the two approaches in more depth. We also demonstrate that results from both approaches reach the same steady solution published previously at the limit of a saturated growth. Although we used a left ventricle model as an example, our theory is applicable in modelling the volumetric growth of general soft tissues.

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“…For example, the LV geometry in this study is discretized with 133,042 nodes. The image-based geometry reconstruction procedure used in this study has recently been examined by Li et al [16], in which an LV geometry from one patient has been reconstructed five times using the same in vivo imaging data by the same operator, and the results showed that the di erences of the end-diastolic LV cavity volume and the wall volume are less than 1%. Thus, the LV geometry reconstruction procedure is highly reproducible and reliable.…”

Section: Biomechanical Study To Cancermentioning

confidence: 99%