Modelling secondary lymphatic valves with a flexible vessel wall: how geometry and material properties combine to provide function

Bertram, Christopher

doi:10.1007/s10237-020-01325-4

Cited by 13 publications

(26 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…2015; Wilson et al. 2015; Bertram 2020). However, many of these studies employ assumptions or simplifications, particularly in regard to valve behaviour, providing only a limited understanding of the role of the lymphatic valve in lymphatic transport performance and efficiency.…”

Section: Introductionmentioning

confidence: 99%

“…Higher-dimensional models of the lymphatic system can address this limitation by modelling the lymphatic valve based on the more readily available geometric profile of the valve (Wilson et al. 2015; Bertram 2020), but these models also simplify the physics through assumptions such as a steady flow condition (Wilson et al. 2015), exclusion of components that require fluid–structure interaction like the lymphatic valves (Rahbar & Moore 2011) or using externally applied fluid flow (Bertram 2020).…”

Section: Introductionmentioning

confidence: 99%

“…2015; Bertram 2020), but these models also simplify the physics through assumptions such as a steady flow condition (Wilson et al. 2015), exclusion of components that require fluid–structure interaction like the lymphatic valves (Rahbar & Moore 2011) or using externally applied fluid flow (Bertram 2020). We recently conducted three-dimensional simulations using a fully coupled fluid–structure interaction model to probe the behaviour of compliant lymphatic valves in a fluid flow (Ballard et al.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Fluid pumping of peristaltic vessel fitted with elastic valves

2021

View full text Add to dashboard Cite

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Fluid pumping of peristaltic vessel fitted with elastic valves

2021

View full text Add to dashboard Cite

show abstract

“…Real valve behaviour is actually more complex than that modeled by a diode (see e.g. [14] for some recent reference). Nevertheless in our model the valves have been described with different detail; in the simplest case they may be simply be assumed to be ideal and described by equation:…”

Section: B Valve Behaviourmentioning

confidence: 99%

A Circuit Based Model of the Lymphatic System

Gajani

2022

2022 International Conference on Electrical, Computer and Energy Technologies (ICECET)

View full text Add to dashboard Cite

The lymphatic system is one of the main, but relatively less understood, systems of the human (and animal) body. As for other systems, having a usable model of the main elements that compose this system can greatly help the process of understanding and modelling normal and pathological conditions. In this paper a simple lumped model of the lymphangion, the basic active building block of the lymphatic system, is presented and is shown to be fully autonomous, describing pulsating behaviour without the use of external periodic sources. The model is based on the circuit analogy and has been implemented both using Matlab and as a standard spice-like netlist including Verilog-A code.

show abstract

“…The topology of the network is characterized by the generation of bifurcating seven vessels with each vessel composed of 10 lymphangions. The most recent developments of the computational modeling of lymphatic vessels consider a fully coupled fluid-structure 3D simulation of an intravascular lymphatic valve simulating valve opening and valve closure [18,19]. The model of contraction of lymphatic vessels was further developed to examine the effect of wall shear stress on the contraction of a single lymphangion [20].…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modeling of Lymph Node Drainage Function by Neural Network

et al. 2021

View full text Add to dashboard Cite

The lymph node (LN) represents a key structural component of the lymphatic system network responsible for the fluid balance in tissues and the immune system functioning. Playing an important role in providing the immune defense of the host organism, LNs can also contribute to the progression of pathological processes, e.g., the spreading of cancer cells. To gain a deeper understanding of the transport function of LNs, experimental approaches are used. Mathematical modeling of the fluid transport through the LN represents a complementary tool for studying the LN functioning under broadly varying physiological conditions. We developed an artificial neural network (NN) model to describe the lymph node drainage function. The NN model predicts the flow characteristics through the LN, including the exchange with the blood vascular systems in relation to the boundary and lymphodynamic conditions, such as the afferent lymph flow, Darcy’s law constants and Starling’s equation parameters. The model is formulated as a feedforward NN with one hidden layer. The NN complements the computational physics-based model of a stationary fluid flow through the LN and the fluid transport across the blood vessel system of the LN. The physical model is specified as a system of boundary integral equations (IEs) equivalent to the original partial differential equations (PDEs; Darcy’s Law and Starling’s equation) formulations. The IE model has been used to generate the training dataset for identifying the NN model architecture and parameters. The computation of the output LN drainage function characteristics (the fluid flow parameters and the exchange with blood) with the trained NN model required about 1000-fold less central processing unit (CPU) time than computationally tracing the flow characteristics of interest with the physics-based IE model. The use of the presented computational models will allow for a more realistic description and prediction of the immune cell circulation, cytokine distribution and drug pharmacokinetics in humans under various health and disease states as well as assisting in the development of artificial LN-on-a-chip technologies.

show abstract

Modelling secondary lymphatic valves with a flexible vessel wall: how geometry and material properties combine to provide function

Cited by 13 publications

References 29 publications

Fluid pumping of peristaltic vessel fitted with elastic valves

Fluid pumping of peristaltic vessel fitted with elastic valves

A Circuit Based Model of the Lymphatic System

Mathematical Modeling of Lymph Node Drainage Function by Neural Network

Contact Info

Product

Resources

About