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- Bogdanov-Takens bifurcation (1)
- Constant-yield harvesting (1)
- Cycle (1)
- Degenerate Hopf bifurcation (1)
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- Formylpeptide receptors (1)
- Harmonic mean mixture model (1)
- Independent vertices (1)
- Invariant torus (1)
- Mathematical modeling (1)
- Mixture-based libraries (1)
- Multiplicity (1)
- Null space (1)
- Ombinatorial libraries (1)
- Periodic solution (1)
- Positive semidefinite matrix (1)
- Predator-prey model (1)
- Schur complement (1)
- Seasonal harvesting (1)
- Tree (1)
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Articles 1 - 7 of 7
Full-Text Articles in Entire DC Network
Differentiation Of Solutions Of Second-Order Bvps With Integral Boundary Conditions, Alfredo Janson, Bibi Juman
Differentiation Of Solutions Of Second-Order Bvps With Integral Boundary Conditions, Alfredo Janson, Bibi Juman
Mathematics Colloquium Series
Janson’s and Juman’s research involves differentiating solutions of boundary value problems with integral conditions, as well as showing that the resulting functions solve an associated boundary value problem—called the variational equation—with new integral boundary values.
Identification Of Beryllium-Dependent Peptides Recognized By Cd4+ T Cells In Chronic Beryllium Disease, Michael T. Falta, Clemencia Pinilla, Douglas G. Mack, Alex N. Tinega, Francis Crawford, Marc Giulianotti, Radleigh Santos, Gina M. Clayton, Yuxiao Wang, Xuewu Zhang, Lisa A. Maier, Philippa Marrack, John W. Kappler, Andrew P. Fontenot
Identification Of Beryllium-Dependent Peptides Recognized By Cd4+ T Cells In Chronic Beryllium Disease, Michael T. Falta, Clemencia Pinilla, Douglas G. Mack, Alex N. Tinega, Francis Crawford, Marc Giulianotti, Radleigh Santos, Gina M. Clayton, Yuxiao Wang, Xuewu Zhang, Lisa A. Maier, Philippa Marrack, John W. Kappler, Andrew P. Fontenot
Mathematics Faculty Articles
Chronic beryllium disease (CBD) is a granulomatous disorder characterized by an influx of beryllium (Be)-specific CD4+ T cells into the lung. The vast majority of these T cells recognize Be in an HLA-DP–restricted manner, and peptide is required for T cell recognition. However, the peptides that stimulate Be-specific T cells are unknown. Using positional scanning libraries and fibroblasts expressing HLA-DP2, the most prevalent HLA-DP molecule linked to disease, we identified mimotopes and endogenous self-peptides that bind to MHCII and Be, forming a complex recognized by pathogenic CD4+ T cells in CBD. These peptides possess aspartic and glutamic acid residues at …
The Mathematics Of A Successful Deconvolution: A Quantitative Assessment Of Mixture-Based Combinatorial Libraries Screened Against Two Formylpeptide Receptors, Radleigh Santos, Jon R. Appel, Marc Giulianotti, Bruce S. Edwards, Larry A. Sklar, Richard A. Houghten, Clemencia Pinilla
The Mathematics Of A Successful Deconvolution: A Quantitative Assessment Of Mixture-Based Combinatorial Libraries Screened Against Two Formylpeptide Receptors, Radleigh Santos, Jon R. Appel, Marc Giulianotti, Bruce S. Edwards, Larry A. Sklar, Richard A. Houghten, Clemencia Pinilla
Mathematics Faculty Articles
In the past 20 years, synthetic combinatorial methods have fundamentally advanced the ability to synthesize and screen large numbers of compounds for drug discovery and basic research. Mixture-based libraries and positional scanning deconvolution combine two approaches for the rapid identification of specific scaffolds and active ligands. Here we present a quantitative assessment of the screening of 32 positional scanning libraries in the identification of highly specific and selective ligands for two formylpeptide receptors. We also compare and contrast two mixture-based library approaches using a mathematical model to facilitate the selection of active scaffolds and libraries to be pursued for further …
On The Null Space Structure Associated With Trees And Cycles, Shaun M. Fallat, Shahla Nasserasr
On The Null Space Structure Associated With Trees And Cycles, Shaun M. Fallat, Shahla Nasserasr
Mathematics Faculty Articles
In this work, we study the structure of the null spaces of matrices associated with graphs. Our primary tool is utilizing Schur complements based on certain collections of independent vertices. This idea is applied in the case of trees, and seems to represent a unifying theory within the context of the support of the null space. We extend this idea and apply it to describe the null vectors and corresponding nullities of certain symmetric matrices associated with cycles
Disconjugacy And Differentiation For Solutions Of Boundary Value Problems For Second-Order Dynamic Equations On A Time Scale, Jeffrey W. Lyons
Disconjugacy And Differentiation For Solutions Of Boundary Value Problems For Second-Order Dynamic Equations On A Time Scale, Jeffrey W. Lyons
Mathematics Colloquium Series
On the specific time scale—given as integer multiples of a fixed, positive real number h—and under certain conditions, solutions of a nonlinear second-order dynamic equation with conjugate boundary conditions are differentiated with respect to the boundary values and delta differentiated with respect to the boundary points. Lyons will also present two corollaries of the result.
Fractional Calculus And Smallest Eigenvalues, Jeffrey T. Neugebauer
Fractional Calculus And Smallest Eigenvalues, Jeffrey T. Neugebauer
Mathematics Colloquium Series
This talk will introduce the subject of fractional calculus, which involves taking integrals and derivatives of arbitrary order. Neugebauer will show how the definitions of fractional derivatives and fractional integrals are natural extensions of the definitions of the derivative and the integral. In addition to showing some examples, Neugebauer will explore ongoing research on the comparison of smallest eigenvalues of a fractional-boundary-value problem with conjugate boundary conditions.
Complex Dynamics In Predator-Prey Models With Nonmonotonic Functional Response And Seasonal Harvesting, Jicai Huang, Jing Chen, Yijun Gong, Weipeng Zhang
Complex Dynamics In Predator-Prey Models With Nonmonotonic Functional Response And Seasonal Harvesting, Jicai Huang, Jing Chen, Yijun Gong, Weipeng Zhang
Mathematics Faculty Articles
In this paper we study the complex dynamics of predator-prey systems with nonmonotonic functional response and harvesting. When the harvesting is constant-yield for prey, it is shown that various kinds of bifurcations, such as saddle-node bifurcation, degenerate Hopf bifurcation, and Bogdanov-Takens bifurcation, occur in the model as parameters vary. The existence of two limit cycles and a homoclinic loop is established by numerical simulations. When the harvesting is seasonal for both species, sufficient conditions for the existence of an asymptotically stable periodic solution and bifurcation of a stable periodic orbit into a stable invariant torus of the model are given. …