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Advances in Mathematical Sciences - AWM Research Symposium, Houston, TX, April 2019 (Hardcover, 1st ed. 2020)
Bahar Acu, Donatella Danielli, Marta Lewicka, Arati Pati, Saraswathy RV, …
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R1,657
Discovery Miles 16 570
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Ships in 12 - 17 working days
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This volume highlights the mathematical research presented at the
2019 Association for Women in Mathematics (AWM) Research Symposium
held at Rice University, April 6-7, 2019. The symposium showcased
research from women across the mathematical sciences working in
academia, government, and industry, as well as featured women
across the career spectrum: undergraduates, graduate students,
postdocs, and professionals. The book is divided into eight parts,
opening with a plenary talk and followed by a combination of
research paper contributions and survey papers in the different
areas of mathematics represented at the symposium: algebraic
combinatorics and graph theory algebraic biology commutative
algebra analysis, probability, and PDEs topology applied
mathematics mathematics education
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Advances in Mathematical Sciences - AWM Research Symposium, Houston, TX, April 2019 (Paperback, 1st ed. 2020)
Bahar Acu, Donatella Danielli, Marta Lewicka, Arati Pati, Saraswathy RV, …
|
R1,523
Discovery Miles 15 230
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Out of stock
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This volume highlights the mathematical research presented at the
2019 Association for Women in Mathematics (AWM) Research Symposium
held at Rice University, April 6-7, 2019. The symposium showcased
research from women across the mathematical sciences working in
academia, government, and industry, as well as featured women
across the career spectrum: undergraduates, graduate students,
postdocs, and professionals. The book is divided into eight parts,
opening with a plenary talk and followed by a combination of
research paper contributions and survey papers in the different
areas of mathematics represented at the symposium: algebraic
combinatorics and graph theory algebraic biology commutative
algebra analysis, probability, and PDEs topology applied
mathematics mathematics education
A theoretical model for oxygen and substrate transport to tissues
within skeletal muscle involving several interacting capillaries
has been developed. It involves an elegant technique that
discretizes the transport problem in a tissue with large number of
capillaries. The technique can be equally applied to other heat
transport problems with actual anatomical information. For oxygen,
the role of myoglobin and the effect of axial diffusion have been
considered. For the myoglobin model, myoglobin facilitates oxygen
diffusion into tissue and can prevent hypoxia due to the
interaction of the capillaries. The analysis yields a great deal of
information about hypoxia, since as shown, a multicapillary model
of the type presented here is needed to determine if the tissue is
truly hypoxic. Because capillary length is large compared to
capillary spacing, axial diffusion is a small perturbation to the
solution without axial diffusion. The effect of axial diffusion is
found using perturbation methods. For the substrate model, there
can be large differences between the substrate concentration in the
capillary and that in the tissue, depending on the permeability of
the capillary endothelium.
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