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511
The mathematics of infectious diseases
 SIAM Review
, 2000
"... Abstract. Many models for the spread of infectious diseases in populations have been analyzed mathematically and applied to specific diseases. Threshold theorems involving the basic reproduction number R0, the contact number σ, and the replacement number R are reviewed for the classic SIR epidemic a ..."
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Cited by 465 (4 self)
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Abstract. Many models for the spread of infectious diseases in populations have been analyzed mathematically and applied to specific diseases. Threshold theorems involving the basic reproduction number R0, the contact number σ, and the replacement number R are reviewed for the classic SIR epidemic and endemic models. Similar results with new expressions for R0 are obtained for MSEIR and SEIR endemic models with either continuous age or age groups. Values of R0 and σ are estimated for various diseases including measles in Niger and pertussis in the United States. Previous models with age structure, heterogeneity, and spatial structure are surveyed.
Symmetrization of Closure Operators and Visibility
 ANNALS OF COMBINATORICS
, 2005
"... For an arbitrary set E and a given closure operator σ: P (E)! P (E), we want to construct a symmetric closure operator σ: P (E)! P (E) via some possibly infinite iteration process. If E is nite, the corresponding symmetric closure operator σ defines a matroid. If E = R n and σ is the convex closur ..."
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Cited by 1 (1 self)
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For an arbitrary set E and a given closure operator σ: P (E)! P (E), we want to construct a symmetric closure operator σ: P (E)! P (E) via some possibly infinite iteration process. If E is nite, the corresponding symmetric closure operator σ defines a matroid. If E = R n and σ is the convex closure operator, σ turns out to be the afne closure operator. Moreover,
Polarized HigherOrder Subtyping
, 1997
"... The calculus of higher order subtyping, known as F ω ≤ , a higherorder polymorphic λcalculus with subtyping, is expressive enough to serve as core calculus for typed objectoriented languages. The versions considered in the literature usually support only pointwise subtyping of type operators, whe ..."
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Cited by 37 (1 self)
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The calculus of higher order subtyping, known as F ω ≤ , a higherorder polymorphic λcalculus with subtyping, is expressive enough to serve as core calculus for typed objectoriented languages. The versions considered in the literature usually support only pointwise subtyping of type operators, where two types S U and T U are in subtype relation, if S and T are. In the widely cited, unpublished note [Car90], Cardelli presents F ω ≤ in a more general form going beyond pointwise subtyping of type applications in distinguishing between monotone and antimonotone operators. Thus, for instance, T U1 is a subtype of T U2, if U1 ≤ U2 and T is a monotone operator. My thesis extends F ω ≤ by polarized application, it explores its proof theory, establishing decidability of polarized F ω ≤. The inclusion of polarized application rules leads to an interdependence of the subtyping and the kinding system. This contrasts with pure F ω ≤ , where subtyping depends on kinding but not vice versa. To retain decidability of the system, the equalbounds subtyping rule for alltypes is rephrased in the polarized setting as a mutualsubtype requirement of the upper bounds.
29. CORRELATION OF CARNIAN TO RHAETIAN PALYNOLOGICAL, FORAMINIFERAL,
"... During Ocean Drilling Program Leg 122, Upper Triassic sediments were recovered at four sites (Sites 759, 760, 761, and 764) on the Wombat Plateau, a small horst on the northern margin of the Exmouth Plateau. Biostratigraphic results vary at each site, because of environment changes from prodeltaic i ..."
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During Ocean Drilling Program Leg 122, Upper Triassic sediments were recovered at four sites (Sites 759, 760, 761, and 764) on the Wombat Plateau, a small horst on the northern margin of the Exmouth Plateau. Biostratigraphic results vary at each site, because of environment changes from prodeltaic
Volcanology and petrology of acid volcanic rocks from the
"... Abstract. The Sheinovets caldera is an integral part of the Maritsa group volcanoes located in the northeasternmost portion of the Eastern Rhodopes Paleogene volcanic area. A fragment of the caldera presently constitutes the easternmost part of the Ibredjeck horst where a thick sequence of sedimenta ..."
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Abstract. The Sheinovets caldera is an integral part of the Maritsa group volcanoes located in the northeasternmost portion of the Eastern Rhodopes Paleogene volcanic area. A fragment of the caldera presently constitutes the easternmost part of the Ibredjeck horst where a thick sequence
Biochemical and functional characterization of a novel neuronglia adhesion molecule that is involved in neuronal migration
 J. Cell
, 1987
"... Abstract. Adhesion molecule on glia (AMOG) is a novel neural cell adhesion molecule that mediates neuronastrocyte interaction in vitro. In situ AMOG is expressed in the cerebellum by glial cells at the critical developmental stages of granule neuron migration. Granule neuron migration that is guide ..."
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Cited by 23 (6 self)
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Abstract. Adhesion molecule on glia (AMOG) is a novel neural cell adhesion molecule that mediates neuronastrocyte interaction in vitro. In situ AMOG is expressed in the cerebellum by glial cells at the critical developmental stages of granule neuron migration. Granule neuron migration that is guided by surface contacts between migrating neurons and astroglial processes is inhibited by monoclonal AMOG antibody, probably by disturbing neuronglia adhesion. AMOG is an integral cell surface glycoprotein of 4550kD molecular weight with a carbohydrate content of at least 30%. It does not belong to the L2/HNK1 family of neural cell adhesion molecules but expresses another carbohydrate epitope that is shared with the adhesion molecules L1 and myelinassociated glycoprotein,
Checklist of catfishes, recent and fossil (Osteichthyes: Siluriformes), and catalogue of siluriform primary types
 Zootaxa
, 2007
"... Checklist of catfishes, recent and fossil (Osteichthyes: Siluriformes), and catalogue of siluriform primary types (Zootaxa 1418) 628 pp.; 30 cm. ..."
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Cited by 19 (0 self)
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Checklist of catfishes, recent and fossil (Osteichthyes: Siluriformes), and catalogue of siluriform primary types (Zootaxa 1418) 628 pp.; 30 cm.
Lowdegree minimal spanning trees in normed spaces
, 2006
"... We give a complete proof that in any finitedimensional normed linear space a finite set of points has a minimal spanning tree in which the maximum degree is bounded above by the strict Hadwiger number of the unit ball, i.e., the largest number of unit vectors such that the distance between any two ..."
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Cited by 2 (1 self)
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We give a complete proof that in any finitedimensional normed linear space a finite set of points has a minimal spanning tree in which the maximum degree is bounded above by the strict Hadwiger number of the unit ball, i.e., the largest number of unit vectors such that the distance between any two is larger than 1. 1
Characterization and a Construction of Equiframed Curves
"... In this contribution, which is based on the paper [4], we give a constructive description of centrally symmetric equiframed curves, i.e., centrally symmetric closed convex curves that are touched at each of their points by some circumscribed parallelogram of smallest area. Equiframed curves and thei ..."
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In this contribution, which is based on the paper [4], we give a constructive description of centrally symmetric equiframed curves, i.e., centrally symmetric closed convex curves that are touched at each of their points by some circumscribed parallelogram of smallest area. Equiframed curves and their
NonPlanar Simplices Are Not Reduced
"... A convex body in R which does not properly contain a convex body of the same minimum width is called a reduced body. It is not known whether there exist reduced ndimensional polytopes for n 3. ..."
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Cited by 1 (1 self)
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A convex body in R which does not properly contain a convex body of the same minimum width is called a reduced body. It is not known whether there exist reduced ndimensional polytopes for n 3.
Results 1  10
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511