10,052 research outputs found
The Role of the Central Institution in the Treatment and Control of Leprosy
The aim of thie following study is to present some modern conceptions in the treatment and control of leprosy, from the view point of, and with special reference to, experience gained while the writer was physician-superintendent to the Lady Willingdon Leper Settlement, the largest of its kind in Southern India. This institution, Government owned, was completed in 1924 and its management was almost immediately thereafter vested in the Mission of the United Free Church, now Church of Scotland. In October 1924 I was priviledged to commence charge os the Settlement during a period when great advances in the treatment and control of the disease were being made. The experience of organising the Institution provided me with every opportunity for studying the leper problem and for taking an active interest int he progress of events during my superintendence of six years. My interest has thus in no small measure been stimulated in the large scale control of leprosy, and my work has furnished administrative ideas, the exposition of which forms an integral part of the thesis. While bearing particular reference to the problem as experienced in India, it is hoped that the conclusions stated will apply equally to other leprotic centres
Constitutive Models for Tumour Classification
The aim of this paper is to formulate new mathematical models that will be able to differentiate not only between normal and abnormal tissues, but, more importantly, between benign and malignant tumours. We present preliminary results of a tri-phasic model and numerical simulations of the effect of cellular adhesion forces on the mechanical properties of biological tissues.
We pursued the following three approaches:
(i) the simulation of the time-harmonic linear elastic models to examine coarse scale effects and adhesion properties,
(ii) the investigation of a tri-phasic model, with the intent of upscaling this model to determine effects of electro-mechanical coupling between cells,
and (iii) the upscaling of a simple cell model as a framework for studying interface conditions at malignant cells.
Each of these approaches has opened exciting new directions of research that we plan to study in the future
Stability and Hermitian-Einstein metrics for vector bundles on framed manifolds
We adapt the notions of stability of holomorphic vector bundles in the sense
of Mumford-Takemoto and Hermitian-Einstein metrics in holomorphic vector
bundles for canonically polarized framed manifolds, i.e. compact complex
manifolds X together with a smooth divisor D such that K_X \otimes [D] is
ample. It turns out that the degree of a torsion-free coherent sheaf on X with
respect to the polarization K_X \otimes [D] coincides with the degree with
respect to the complete K\"ahler-Einstein metric g_{X \setminus D} on X
\setminus D. For stable holomorphic vector bundles, we prove the existence of a
Hermitian-Einstein metric with respect to g_{X \setminus D} and also the
uniqueness in an adapted sense.Comment: 21 pages, International Journal of Mathematics (to appear
Topology of multiple log transforms of 4-manifolds
Given a 4-manifold X and an imbedding of T^{2} x B^2 into X, we describe an
algorithm X --> X_{p,q} for drawing the handlebody of the 4-manifold obtained
from X by (p,q)-logarithmic transforms along the parallel tori. By using this
algorithm, we obtain a simple handle picture of the Dolgachev surface
E(1)_{p,q}, from that we deduce that the exotic copy E(1)_{p,q} # 5(-CP^2) of
E(1) # 5(-CP^2) differs from the original one by a codimension zero simply
connected Stein submanifold M_{p,q}, which are therefore examples of infinitely
many Stein manifolds that are exotic copies of each other (rel boundaries).
Furthermore, by a similar method we produce infinitely many simply connected
Stein submanifolds Z_{p} of E(1)_{p,2} # 2(-CP^2)$ with the same boundary and
the second Betti number 2, which are (absolutely) exotic copies of each other;
this provides an alternative proof of a recent theorem of the author and Yasui
[AY4]. Also, by using the description of S^2 x S^2 as a union of two cusps
glued along their boundaries, and by using this algorithm, we show that
multiple log transforms along the tori in these cusps do not change smooth
structure of S^2 x S^2.Comment: Updated, with 17 pages 21 figure
Exotic Smoothness and Physics
The essential role played by differentiable structures in physics is reviewed
in light of recent mathematical discoveries that topologically trivial
space-time models, especially the simplest one, , possess a rich
multiplicity of such structures, no two of which are diffeomorphic to each
other and thus to the standard one. This means that physics has available to it
a new panoply of structures available for space-time models. These can be
thought of as source of new global, but not properly topological, features.
This paper reviews some background differential topology together with a
discussion of the role which a differentiable structure necessarily plays in
the statement of any physical theory, recalling that diffeomorphisms are at the
heart of the principle of general relativity. Some of the history of the
discovery of exotic, i.e., non-standard, differentiable structures is reviewed.
Some new results suggesting the spatial localization of such exotic structures
are described and speculations are made on the possible opportunities that such
structures present for the further development of physical theories.Comment: 13 pages, LaTe
Emergent Calabi-Yau Geometry
We show how the smooth geometry of Calabi-Yau manifolds emerges from the
thermodynamic limit of the statistical mechanical model of crystal melting
defined in our previous paper arXiv:0811.2801. In particular, the thermodynamic
partition function of molten crystals is shown to be equal to the classical
limit of the partition function of the topological string theory by relating
the Ronkin function of the characteristic polynomial of the crystal melting
model to the holomorphic 3-form on the corresponding Calabi-Yau manifold.Comment: 4 pages; v2: revised discussion on wall crossing; v3: typos
corrected, published versio
Euler number of Instanton Moduli space and Seiberg-Witten invariants
We show that a partition function of topological twisted N=4 Yang-Mills
theory is given by Seiberg-Witten invariants on a Riemannian four manifolds
under the condition that the sum of Euler number and signature of the four
manifolds vanish. The partition function is the sum of Euler number of
instanton moduli space when it is possible to apply the vanishing theorem. And
we get a relation of Euler number labeled by the instanton number with
Seiberg-Witten invariants, too. All calculation in this paper is done without
assuming duality.Comment: LaTeX, 34 page
The effect of prolonged simulated non- gravitational environment on mineral balance in the adult male, volume 1 Final report
Effect of prolonged bed rest with simulated weightlessness on mineral balance in male adult - Vol.
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