Heart Valve Tissue Engineering: Mathematical Modeling For Bioreactor Studies,
2017
Nova Southeastern University
Heart Valve Tissue Engineering: Mathematical Modeling For Bioreactor Studies, Manuel Salinas
Mathematics Colloquium Series
Mechanical conditioning has been shown to promote tissue formation in a wide variety of tissue engineering studies, but the underlying mechanisms by which external mechanical stimuli regulate cells and tissues are not fully understood. This is particularly relevant in the area of heart valve tissue engineering (HVTE) due to the intense hemodynamic environments that surround native valves. Some studies suggest that oscillatory shear stress (OSS) caused by steady flow and scaffold flexure play a critical role in engineered tissue formation derived from bone marrow derived stem cells (BMSCs). In addition, scaffold flexure may enhance the transport of nutrients such as …
On The Denesting Of Nested Square Roots,
2017
The University of Texas Rio Grande Valley
On The Denesting Of Nested Square Roots, Eleftherios Gkioulekas
School of Mathematical & Statistical Sciences Faculty Publications
We present the basic theory of denesting nested square roots, from an elementary point of view, suitable for lower level coursework. Necessary and sufficient conditions are given for direct denesting, where the nested expression is rewritten as a sum of square roots of rational numbers, and for indirect denesting, where the nested expression is rewritten as a sum of fourth-order roots of rational numbers. The theory is illustrated with several solved examples.
Analytic Approximation Of Invasion Wave Amplitude Predicts Severity Of Insect Outbreaks,
2017
Utah State University
Analytic Approximation Of Invasion Wave Amplitude Predicts Severity Of Insect Outbreaks, Antje R. H. Graul, James A. Powell
Mathematics and Statistics Faculty Publications
Outbreaks of phytophagous forest insects are largely driven by host demographics and spatial effects of dispersal. We develop a structured integrodifference equation (IDE) outbreak model that tracks the demographics of sedentary hosts under insect infestation pressure. The model is appropriate for a spectrum of pests attacking the later age classes of long-lived hosts, including mountain pine beetle (MPB), spruce budworm, and spruce beetle, which, among them are responsible for more forest damage than fire. The model generates a train of periodic waves of infestation. We approximate the IDE with a partial differential equation and search for traveling wave solutions. The …
A Minus Sign That Used To Annoy Me But Now I Know Why It Is There (Two Constructions Of The Jones Polynomial),
2017
Loyola University Chicago
A Minus Sign That Used To Annoy Me But Now I Know Why It Is There (Two Constructions Of The Jones Polynomial), Peter Tingley
Mathematics and Statistics: Faculty Publications and Other Works
We consider two well known constructions of link invariants. One uses skein theory: you resolve each crossing of the link as a linear combination of things that don’t cross, until you eventually get a linear combination of links with no crossings, which you turn into a polynomial. The other uses quantum groups: you construct a functor from a topological category to some category of representations in such a way that (directed framed) links get sent to endomorphisms of the trivial representation, which are just rational functions. Certain instances of these two constructions give rise to essentially the same invariants, but …
Q-Stirling Identities Revisited,
2017
Texas A&M University
Q-Stirling Identities Revisited, Yue Cai, Richard Ehrenborg, Margaret Readdy
Mathematics Faculty Publications
We give combinatorial proofs of q-Stirling identities using restricted growth words. This includes a poset theoretic proof of Carlitz's identity, a new proof of the q-Frobenius identity of Garsia and Remmel and of Ehrenborg's Hankel q-Stirling determinantal identity. We also develop a two parameter generalization to unify identities of Mercier and include a symmetric function version.
A Variant Of Clark's Theorem And Its Applications For Nonsmooth Functionals Without The Palais-Smale Condition,
2017
National Huaqiao University
A Variant Of Clark's Theorem And Its Applications For Nonsmooth Functionals Without The Palais-Smale Condition, Shaowei Chen, Zhaoli Liu, Zhi-Qiang Wang
Mathematics and Statistics Faculty Publications
By introducing a new notion of the genus with respect to the weak topology in Banach spaces, we prove a variant of Clark's theorem for nonsmooth functionals without the Palais-Smale condition. In this new theorem, the Palais-Smale condition is replaced by a weaker assumption, and a sequence of critical points converging weakly to zero with nonpositive energy is obtained. As applications, we obtain infinitely many solutions for a quasi-linear elliptic equation which is very degenerate and lacks strict convexity, and we also prove the existence of infinitely many homoclinic orbits for a second-order Hamiltonian system for which the functional is …
Stable Computations With Flat Radial Basis Functions Using Vector-Valued Rational Approximations,
2017
Boise State University
Stable Computations With Flat Radial Basis Functions Using Vector-Valued Rational Approximations, Grady B. Wright, Bengt Fornberg
Mathematics Faculty Publications and Presentations
One commonly finds in applications of smooth radial basis functions (RBFs) that scaling the kernels so they are 'flat' leads to smaller discretization errors. However, the direct numerical approach for computing with flat RBFs (RBF-Direct) is severely ill-conditioned. We present an algorithm for bypassing this ill-conditioning that is based on a new method for rational approximation (RA) of vector-valued analytic functions with the property that all components of the vector share the same singularities. This new algorithm (RBF-RA) is more accurate, robust, and easier to implement than the Contour-Padé method, which is similarly based on vector-valued rational approximation. In contrast …
The Subject Librarian Newsletter, Mathematics, Spring 2017,
2017
University of Central Florida
The Subject Librarian Newsletter, Mathematics, Spring 2017, Sandy Avila
Libraries' Newsletters
No abstract provided.
Controlling Viral Outbreaks: Quantitative Strategies,
2017
Marshall University
Controlling Viral Outbreaks: Quantitative Strategies, Anna Mummert, Howard Weiss
Mathematics Faculty Research
Preparing for and responding to outbreaks of serious livestock infectious diseases are critical measures to safeguard animal health, public health, and food supply. Almost all of the current control strategies are empirical, and mass culling or “stamping out” is frequently the principal strategy for controlling epidemics. However, there are ethical, ecological, and economic reasons to consider less drastic control strategies. Here we use modeling to quantitatively study the efficacy of different control measures for viral outbreaks, where the infectiousness, transmissibility and death rate of animals commonly depends on their viral load. We develop a broad theoretical framework for exploring and …
Anonpri: A Secure Anonymous Private Authentication Protocol For Rfid Systems,
2017
James Madison University
Anonpri: A Secure Anonymous Private Authentication Protocol For Rfid Systems, Farzana Rahman, Md. Endadul Hoque, Sheikh Iqbal Ahamed
Mathematics, Statistics and Computer Science Faculty Research and Publications
Privacy preservation in RFID systems is a very important issue in modern day world. Privacy activists have been worried about the invasion of user privacy while using various RFID systems and services. Hence, significant efforts have been made to design RFID systems that preserve users' privacy. Majority of the privacy preserving protocols for RFID systems require the reader to search all tags in the system in order to identify a single RFID tag which not efficient for large scale systems. In order to achieve high-speed authentication in large-scale RFID systems, researchers propose tree-based approaches, in which any pair of tags …
On Benacerraf’S Dilemma, Again,
2017
Chapman University
On Benacerraf’S Dilemma, Again, Marco Panza
MPP Published Research
In spite of its enormous influence, Benacerraf’s dilemma admits no standard unanimously accepted formulation. This mainly depends on Benacerraf’s having originally presented it in a quite colloquial way, by avoiding any compact, somehow codified, but purportedly comprehensive formulation (Benacerraf 1973 cf. p. 29).
Partitioning Random Graphs Into Monochromatic Components,
2017
Montclair State University
Partitioning Random Graphs Into Monochromatic Components, Deepak Bal, Louis Debiasio
Department of Mathematics Faculty Scholarship and Creative Works
Erdős, Gyàrfàs, and Pyber (1991) conjectured that every r-colored complete graph can be partitioned into at most r – 1 monochromatic components; this is a strengthening of a conjecture of Lovàsz (1975) and Ryser (1970) in which the components are only required to form a cover. An important partial result of Haxell and Kohayakawa (1995) shows that a partition into r monochromatic components is possible for sufficiently large r-colored complete graphs. We start by extending Haxell and Kohayakawa’s result to graphs with large minimum degree, then we provide some partial analogs of their result for random graphs. In particular, we …
From Acoustic Analog Of Space, Cancer Therapy, To Acoustic Sachs-Wolfe Theorem: A Model Of The Universe As A Guitar,
2017
University of New Mexico
From Acoustic Analog Of Space, Cancer Therapy, To Acoustic Sachs-Wolfe Theorem: A Model Of The Universe As A Guitar, Victor Christianto, Florentin Smarandache, Yunita Umniyati
Branch Mathematics and Statistics Faculty and Staff Publications
It has been known for long time that the cosmic sound wave was there since the early epoch of the Universe. Signatures of its existence are abound. However, such an acoustic model of cosmology is rarely developed fully into a complete framework from the notion of space, cancer therapy up to the sky. This paper may be the first attempt towards such a complete description of the Universe based on classical wave equation of sound. It is argued that one can arrive at a consistent description of space, elementary particles, Sachs-Wolfe acoustic theorem, up to a novel approach for cancer …
Arithmetic: Math As 'Pure' And 'Applied',
2017
College of Saint Benedict/Saint John's University
Arithmetic: Math As 'Pure' And 'Applied', Sunil Chetty
Forum Lectures
One often hears mathematics classified into two categories: pure or applied, abstract or concrete, elementary or modern. We explore how arithmetic can dismantle such highly artificial distinctions. More specifically, we play with tiles and draw pictures to highlight how arithmetic can be both good mental exercise and a very useful tool for modern communication.
Ichme-5: Fifth International Conference On The History Of Mathematics Education,
2017
Utrecht University
Ichme-5: Fifth International Conference On The History Of Mathematics Education, Jenneke Krüger
Journal of Humanistic Mathematics
No abstract provided.
Ladies' Night,
2017
Saint Mary's University - Canada
Ladies' Night, Robert Dawson
Journal of Humanistic Mathematics
"Lady" Jane is an expert at her racket. The Joint Statistical Meetings are in Vegas, and she reckons it's payday. But she's taking on the professionals.
The University Of Montana Department Of Mathematics Post-Apocalyptic Working Seminar,
2017
Westminster College (Salt Lake City)
The University Of Montana Department Of Mathematics Post-Apocalyptic Working Seminar, Kenan A. Ince
Journal of Humanistic Mathematics
No abstract provided.
16,
2017
Norwich University
16, Dan Mcquillan
Journal of Humanistic Mathematics
This 15 word poem suggests that the reader count the words of the poem. Since every line has half as many words as the previous line, and since the poem urges the reader to keep counting forever, one imagines a total of 16 words.
The Geometry Of Morning,
2017
Claremont Colleges
The Geometry Of Morning, Greg Huteson
Journal of Humanistic Mathematics
No abstract provided.
Book Review: Realizing Reason: A Narrative Of Truth And Knowing By Danielle Macbeth,
2017
Pennsylvania State University, University Park
Book Review: Realizing Reason: A Narrative Of Truth And Knowing By Danielle Macbeth, Emily R. Grosholz
Journal of Humanistic Mathematics
This review examines Danielle Macbeth’s novel and compelling account of the formal languages of mathematics, from Euclid’s geometrical diagrams to the algebraic equations of Descartes and the differential equations of Newton and Leibniz, to the much more abstract language of Galois, Bolzano and Riemann. She argues that the practice of those 19th century mathematicians, reasoning deductively from abstract concepts like ‘group’ and ‘manifold’, inspired the philosophical logician Gottlob Frege, whose Begriffsschrift captures the procedures of those who reasoned in concepts. However, his way of formalizing mathematical reasoning was obscured by the success of Bertrand Russell and Alfred North Whitehead’s …
