International audienceWe investigate how Murray's law is affected by fluids whose viscosity depends monotonously on shear rates, such as blood. Our study shows that Murray's original law also applies to such fluids, as long as they did not undergo phase separation effect. When Fåhraeus-like phase separation effects occur, we derive an extended version of Murray's law. Finally, we study how these new laws affect the optimal geometries of fractal trees to mimic an idealized arterial network. Our analyses are based on Quémada 's fluid model, but our approach is very general and apply to most fluids with shear dependent rheology
Many natural systems and engineering processes occur in which a fluid invades a territory from one e...
Murray's law describes the optimal branching anatomy of vascular bifurcations. If Murray's law is ob...
Development of many conditions and disorders, such as atherosclerosis and stroke, are dependent upon...
International audienceWe investigate how Murray's law is affected by fluids whose viscosity depends ...
BACKGROUND: So far, none of the existing methods on Murray's law deal with the non-Newtonian behavio...
Background Murray's Law states that, when a parent blood vessel branches into daughter vessels, the ...
Complex flow systems such as the vascular and respiratory trees are made of large and small vessels ...
We propose a design principle that extends Murray's original optimization principle for vascular arc...
Background: Quantification of coronary blood flow is used to evaluate coronary artery disease, but o...
Background: Quantification of coronary blood flow is used to evaluate coronary artery disease, but o...
When blood flows through small vessels, the two-phase nature of blood as a suspension of red cells (...
The branching of fluidic networks becomes a subject of great interest due to its importance in under...
<div><p>Development of many conditions and disorders, such as atherosclerosis and stroke, are depend...
Biological and engineering studies of Hess-Murray’s law are focused on assemblies of tubes with impe...
The aim of the present work is to address the closure problem for hemodynamic simulations by develop...
Many natural systems and engineering processes occur in which a fluid invades a territory from one e...
Murray's law describes the optimal branching anatomy of vascular bifurcations. If Murray's law is ob...
Development of many conditions and disorders, such as atherosclerosis and stroke, are dependent upon...
International audienceWe investigate how Murray's law is affected by fluids whose viscosity depends ...
BACKGROUND: So far, none of the existing methods on Murray's law deal with the non-Newtonian behavio...
Background Murray's Law states that, when a parent blood vessel branches into daughter vessels, the ...
Complex flow systems such as the vascular and respiratory trees are made of large and small vessels ...
We propose a design principle that extends Murray's original optimization principle for vascular arc...
Background: Quantification of coronary blood flow is used to evaluate coronary artery disease, but o...
Background: Quantification of coronary blood flow is used to evaluate coronary artery disease, but o...
When blood flows through small vessels, the two-phase nature of blood as a suspension of red cells (...
The branching of fluidic networks becomes a subject of great interest due to its importance in under...
<div><p>Development of many conditions and disorders, such as atherosclerosis and stroke, are depend...
Biological and engineering studies of Hess-Murray’s law are focused on assemblies of tubes with impe...
The aim of the present work is to address the closure problem for hemodynamic simulations by develop...
Many natural systems and engineering processes occur in which a fluid invades a territory from one e...
Murray's law describes the optimal branching anatomy of vascular bifurcations. If Murray's law is ob...
Development of many conditions and disorders, such as atherosclerosis and stroke, are dependent upon...