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Dear subscribers,
In my phd-studies I am currently working on structured
arterial trees, but I lack information on how various
generations of branches scale in length.
Several papers describe how the *radius* between two successive
generations change, but I have seen only one reference addressing
how the length of a branch is related to the trunk:
It says that in general
(for small arteries) the length of the
branch in consideration would be approximately:
l = c r
where c is constant and r is the radius of the branch (I assume this is
constant throughout the branch).
I need to know whether this relation is reasonable and whether other
relations have been proposed.
I realize that that this is not a typical posting for
this list, but I hope that there is someone who can help me with this
problem.
Mette Olufsen
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Courant Institute of Mathematical Sciences
New York University
251 Mercer Street
New York City, NY 10012
Tel: (212)-998-3275
Fax: (212)-995-4121
email: olufsena@cims.nyu.edu
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In my phd-studies I am currently working on structured
arterial trees, but I lack information on how various
generations of branches scale in length.
Several papers describe how the *radius* between two successive
generations change, but I have seen only one reference addressing
how the length of a branch is related to the trunk:
It says that in general
(for small arteries) the length of the
branch in consideration would be approximately:
l = c r
where c is constant and r is the radius of the branch (I assume this is
constant throughout the branch).
I need to know whether this relation is reasonable and whether other
relations have been proposed.
I realize that that this is not a typical posting for
this list, but I hope that there is someone who can help me with this
problem.
Mette Olufsen
-------------------------------------------------------------------
Courant Institute of Mathematical Sciences
New York University
251 Mercer Street
New York City, NY 10012
Tel: (212)-998-3275
Fax: (212)-995-4121
email: olufsena@cims.nyu.edu
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