Global sensitivity analysis of a model for venous valve dynamics

Keijsers, Jmt Joke; Leguy, Cad Carole; Huberts, Wouter; Narracott, Andrew; Rittweger, Jörn; Vosse, van de Fn Frans

doi:10.1016/j.jbiomech.2016.06.029

Cited by 5 publications

(5 citation statements)

References 39 publications

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“…In venous valves annulus area

A_{italican}

can be defined as a multiple of the reference cross‐sectional area of the upstream vein

k = 1

A_{italican} = β_{A} A_{o}

. 41 The effective valve length can be defined as a multiple of the venous reference radius of the upstream vein

k = 1

l_{e} = β_{l} r_{o}

. 41 …”

Section: Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Numerical coupling of 0D and 1D models in networks of vessels including transonic flow conditions. Application to short‐term transient and stationary hemodynamic simulation of postural changes

Murillo

García‐Navarro

2023

Numer Methods Biomed Eng

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When modeling complex fluid networks using one‐dimensional (1D) approaches, boundary conditions can be imposed using zero‐dimensional (0D) models. An application case is the modeling of the entire human circulation using closed‐loop models. These models can be considered as a tool to investigate short‐term transient and stationary hemodynamic responses to postural changes. The first shortcoming of existing 1D modeling methods in simulating these sudden maneuvers is their inability to deal with rapid variations in flow conditions, as they are limited to the subsonic case. On the other hand, numerical modeling of 0D models representing microvascular beds, venous valves or heart chambers is also currently modeled assuming subsonic flow conditions in 1D connecting vessels, failing when transonic and supersonic flow conditions appear. Therefore, if numerical simulation of sudden maneuvers is a goal in closed‐loop models, it is necessary to reformulate the current methodologies used when coupling 0D and 1D models, allowing the correct handling of flow evolution for both subsonic and transonic conditions. This work focuses on the extension of the general methodology for the Junction Riemann Problem (JRP) when coupling 0D and 1D models. As an example of application, the short‐term transient response to head‐up tilt (HUT) from supine to upright position of a closed‐loop model is shown, demonstrating the potential, capability and necessity of the presented numerical models when dealing with sudden maneuvers.

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“…In venous valves annulus area

A_{italican}

can be defined as a multiple of the reference cross‐sectional area of the upstream vein

k = 1

A_{italican} = β_{A} A_{o}

. 41 The effective valve length can be defined as a multiple of the venous reference radius of the upstream vein

k = 1

l_{e} = β_{l} r_{o}

. 41 …”

Section: Methodsmentioning

confidence: 99%

“… 41 The effective valve length can be defined as a multiple of the venous reference radius of the upstream vein

k = 1

l_{e} = β_{l} r_{o}

. 41 …”

Section: Methodsmentioning

confidence: 99%

Numerical coupling of 0D and 1D models in networks of vessels including transonic flow conditions. Application to short‐term transient and stationary hemodynamic simulation of postural changes

Murillo

García‐Navarro

2023

Numer Methods Biomed Eng

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show abstract

“…Venous valves. Venous valves ensuring unidirectional flow were modeled as non-ideal diodes as introduced by Mynard et al (2012), and also adopted by Keijsers et al (2015Keijsers et al ( , 2016 and Zhang et al (2017). The venous valve model is an additional improvement of the current work with respect to our previous versions and was integrated within legs and arms venous compartments.…”

Section: Mathematical Modelmentioning

confidence: 99%

Cardiovascular Response to Posture Changes: Multiscale Modeling and in vivo Validation During Head-Up Tilt

et al. 2022

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In spite of cardiovascular system (CVS) response to posture changes have been widely studied, a number of mechanisms and their interplay in regulating central blood pressure and organs perfusion upon orthostatic stress are not yet clear. We propose a novel multiscale 1D-0D mathematical model of the human CVS to investigate the effects of passive (i.e., through head-up tilt without muscular intervention) posture changes. The model includes the main short-term regulation mechanisms and is carefully validated against literature data and in vivo measures here carried out. The model is used to study the transient and steady-state response of the CVS to tilting, the effects of the tilting rate, and the differences between tilt-up and tilt-down. Passive upright tilt led to an increase of mean arterial pressure and heart rate, and a decrease of stroke volume and cardiac output, in agreement with literature data and present in vivo experiments. Pressure and flow rate waveform analysis along the arterial tree together with mechano-energetic and oxygen consumption parameters highlighted that the whole system approaches a less stressed condition at passive upright posture than supine, with a slight unbalance of the energy supply-demand ratio. The transient dynamics is not symmetric in tilt-up and tilt-down testing, and is non-linearly affected by the tilting rate, with stronger under- and overshoots of the hemodynamic parameters as the duration of tilt is reduced. By enriching the CVS response to posture changes, the present modeling approach shows promise in a number of applications, ranging from autonomic system disorders to spaceflight deconditioning.

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“…As the flow through venous valves is much lower compared to heart valves, the linear viscous forces are included, as in Keijsers et al [22].…”

Section: D Venous Valvesmentioning

confidence: 99%

“…Pressure and flow measurements were performed on twelve healthy sub- p ex,max 20 kPa Maximal extravascular pressure [22] A c c e p t e d M a n u s c r i p t muscle corresponding to 30% of maximal electromyography (EMG) activity (Ambu Blue Sensor N, Ballerup, Denmark). Visual feedback of the relative muscle activity was provided to enable the subjects to maintain muscle activity at the prescribed level.…”

Section: Physiological Datamentioning

confidence: 99%

Modeling regulation of vascular tone following muscle contraction: Model development, validation and global sensitivity analysis

Keijsers

Leguy

Narracott

et al. 2018

Journal of Computational Science

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Global sensitivity analysis of a model for venous valve dynamics

Cited by 5 publications

References 39 publications

Numerical coupling of 0D and 1D models in networks of vessels including transonic flow conditions. Application to short‐term transient and stationary hemodynamic simulation of postural changes

Numerical coupling of 0D and 1D models in networks of vessels including transonic flow conditions. Application to short‐term transient and stationary hemodynamic simulation of postural changes

Cardiovascular Response to Posture Changes: Multiscale Modeling and in vivo Validation During Head-Up Tilt

Modeling regulation of vascular tone following muscle contraction: Model development, validation and global sensitivity analysis

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