scholarly journals Vessel scaling in evergreen angiosperm leaves conforms with Murray's law and area-filling assumptions: implications for plant size, leaf size and cold tolerance

2018 ◽  
Vol 218 (4) ◽  
pp. 1360-1370 ◽  
Author(s):  
Sean M. Gleason ◽  
Chris J. Blackman ◽  
Scott T. Gleason ◽  
Katherine A. McCulloh ◽  
Troy W. Ocheltree ◽  
...  
Keyword(s):  
Cold Tolerance ◽  
Leaf Size ◽  
Plant Size ◽  
Murray's Law ◽  
Murray’S Law ◽  
Area Filling

scholarly journals Murray’s law for discrete and continuum models of biological networks

2019 ◽  
Vol 29 (12) ◽  
pp. 2359-2376
Author(s):  
Jan Haskovec ◽  
Peter Markowich ◽  
Giulia Pilli
Keyword(s):  
Biological Networks ◽  
Discrete Model ◽  
Continuum Model ◽  
Transportation Network ◽  
Continuum Models ◽  
Scaling Relation ◽  
Murray's Law ◽  
Murray’S Law ◽  
Rectangular Mesh ◽  
The Continuum

We demonstrate the validity of Murray’s law, which represents a scaling relation for branch conductivities in a transportation network, for discrete and continuum models of biological networks. We first consider discrete networks with general metabolic coefficient and multiple branching nodes and derive a generalization of the classical 3/4-law. Next we prove an analogue of the discrete Murray’s law for the continuum system obtained in the continuum limit of the discrete model on a rectangular mesh. Finally, we consider a continuum model derived from phenomenological considerations and show the validity of the Murray’s law for its linearly stable steady states.

scholarly journals Seeking minimum entropy production for a tree-like flow-field in a fuel cell

2020 ◽  
Vol 22 (13) ◽  
pp. 6993-7003 ◽  
Author(s):  
Marco Sauermoser ◽  
Signe Kjelstrup ◽  
Natalya Kizilova ◽  
Bruno G. Pollet ◽  
Eirik G. Flekkøy
Keyword(s):  
Fuel Cell ◽  
Flow Field ◽  
Entropy Production ◽  
Minimum Entropy ◽  
Murray's Law ◽  
Field Patterns ◽  
Murray’S Law ◽  
Minimum Entropy Production

We show how we can improve bio-inspired flow field patterns for use in PEMFCs by deviating from Murray's law.

Deviation from Murray's law is associated with a higher degree of calcification in coronary bifurcations

2012 ◽  
Vol 221 (1) ◽  
pp. 124-130 ◽  
Author(s):  
Andreas W. Schoenenberger ◽  
Nadja Urbanek ◽  
Stefan Toggweiler ◽  
Robert Seelos ◽  
Peiman Jamshidi ◽  
...  
Keyword(s):  
Murray's Law ◽  
Murray’S Law

Seasonal and year to year variation in performance of Gordonia acuminata seedlings in different light environments

1992 ◽  
Vol 70 (12) ◽  
pp. 2405-2414 ◽  
Author(s):  
J. H. C. Cornelissen
Keyword(s):  
Growth Response ◽  
Light Exposure ◽  
Leaf Size ◽  
Plant Size ◽  
Growth Morphology ◽  
Relative Growth ◽  
Inhibition Of Growth ◽  
Different Seasons ◽  
Allocation Patterns ◽  
Growth And Allocation

The effects of light environment on temporal growth and allocation patterns in the subtropical Chinese evergreen tree Gordonia acuminata, a gap-dependent species, were studied during its first 2 years of growth. Seedlings were grown in full sun (S100), 55% of full sun (S5S), 33% of full sun (S33), and 18% of full sun (S18). During the 1st year, plant size and leaf dynamics were monitored nondestructively. The best growth was at S33. Growth rates fluctuated more from season to season in treatments of higher relative light exposure, largely owing to sun-imposed inhibition of growth in summer. Leaf size was to a large extent ontogenetically determined. Additionally, a size reduction with increasing light exposure was shown for individual leaves that had expanded during a given ontogenetic phase. In the 2nd year relative growth was best at S55 (first 6 months) and in full sun (second 6 months), successively, which resulted in S55 plants outgrowing the initially bigger S33 plants. Self-shading and smaller relative investment in leaf area were associated with a reduction of sun-imposed inhibition and thus with enhanced growth in sun in the 2nd year. The large seasonal and year to year variation in growth response to relative light exposure may have important consequences for the success of young Gordonia plants in gaps of different sizes or formed in different seasons. Key words: broad-leaved evergreen seedlings, gaps, growth, morphology, ontogeny, seasons, subtropical China.

scholarly journals Optimal fractal tree-like microchannel networks with slip for laminar-flow-modified Murray’s law

2018 ◽  
Vol 9 ◽  
pp. 482-489 ◽  
Author(s):  
Dalei Jing ◽  
Shiyu Song ◽  
Yunlu Pan ◽  
Xiaoming Wang
Keyword(s):  
Laminar Flow ◽  
Hydraulic Resistance ◽  
Slip Length ◽  
Diameter Ratio ◽  
Slip Condition ◽  
Channel Network ◽  
Murray's Law ◽  
Murray’S Law ◽  
Level Number ◽  
Optimal Diameter

The fractal tree-like branched network is an effective channel design structure to reduce the hydraulic resistance as compared with the conventional parallel channel network. In order for a laminar flow to achieve minimum hydraulic resistance, it is believed that the optimal fractal tree-like channel network obeys the well-accepted Murray’s law of βm = N −1/3 (βm is the optimal diameter ratio between the daughter channel and the parent channel and N is the branching number at every level), which is obtained under the assumption of no-slip conditions at the channel wall–liquid interface. However, at the microscale, the no-slip condition is not always reasonable; the slip condition should indeed be considered at some solid–liquid interfaces for the optimal design of the fractal tree-like channel network. The present work reinvestigates Murray’s law for laminar flow in a fractal tree-like microchannel network considering slip condition. It is found that the slip increases the complexity of the optimal design of the fractal tree-like microchannel network to achieve the minimum hydraulic resistance. The optimal diameter ratio to achieve minimum hydraulic resistance is not only dependent on the branching number, as stated by Murray’s law, but also dependent on the slip length, the level number, the length ratio between the daughter channel and the parent channel, and the diameter of the channel. The optimal diameter ratio decreases with the increasing slip length, the increasing level number and the increasing length ratio between the daughter channel and the parent channel, and decreases with decreasing channel diameter. These complicated relations were found to become relaxed and simplified to Murray’s law when the ratio between the slip length and the diameter of the channel is small enough.

Murray's law, the ‘Yarrum’ optimum, and the hydraulic architecture of compound leaves

2009 ◽  
Vol 184 (1) ◽  
pp. 234-244 ◽  
Author(s):  
Katherine A. McCulloh ◽  
John S. Sperry ◽  
Frederick C. Meinzer ◽  
Barbara Lachenbruch ◽  
Cristian Atala
Keyword(s):  
Hydraulic Architecture ◽  
Murray's Law ◽  
Murray’S Law

Investigating Murray's law in the chick embryo

2001 ◽  
Vol 34 (1) ◽  
pp. 121-124 ◽  
Author(s):  
Larry A Taber ◽  
Stella Ng ◽  
Alicia M Quesnel ◽  
Jennifer Whatman ◽  
Craig J Carmen
Keyword(s):  
Chick Embryo ◽  
Murray's Law ◽  
Murray’S Law
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