A5054480788- Mathematical and Theoretical Epidemiology and Ecology Models
- Mathematical Biology Tumor Growth
- Stochastic processes and statistical mechanics
- Gas Dynamics and Kinetic Theory
- Evolution and Genetic Dynamics
- Advanced Mathematical Physics Problems
- Numerical methods in inverse problems
- Markov Chains and Monte Carlo Methods
- Navier-Stokes equation solutions
- Advanced Mathematical Modeling in Engineering
- Stochastic processes and financial applications
- Colorectal Cancer Surgical Treatments
- Geometric Analysis and Curvature Flows
- Fractional Differential Equations Solutions
- Quantum chaos and dynamical systems
- Advanced Thermodynamics and Statistical Mechanics
- Spectral Theory in Mathematical Physics
- Random Matrices and Applications
- Genetic factors in colorectal cancer
- Nonlinear Dynamics and Pattern Formation
- Gene Regulatory Network Analysis
- Polyomavirus and related diseases
- Combustion and flame dynamics
- Autoimmune and Inflammatory Disorders
- Computational Fluid Dynamics and Aerodynamics
University of Arizona
2017-2024
Vanderbilt University Medical Center
2024
Biogen (United States)
2024
Impact
2022-2024
Liverpool Hospital
2010-2023
Columbia College - South Carolina
2023
Western Sydney University
2012-2022
University of Chicago
2016-2022
UNSW Sydney
2014-2022
Camden and Campbelltown Hospitals
2018-2021
Spinal muscular atrophy (SMA) is a neurodegenerative disease caused by ubiquitous deficiency in the survival motor neuron (SMN) protein. The identification of effectors and modifiers pathogenic events downstream SMN key to understanding mechanisms broadening range targets for developing SMA therapies that can complement upregulation. Here, we report cell-based phenotypic screen chemical biology identified inhibitors p38 mitogen-activated protein kinase (p38 MAPK) as suppressors proliferation...
We study the asymptotic behavior of solutions to a monostable integro-differential Fisher-KPP equation, that is, where standard Laplacian is replaced by convolution term, when dispersal kernel fat-tailed. focus on two different regimes. First, we long time/long range scaling limit introducing relevant rescaling in space and time prove sharp bound (superlinear) spreading rate Hamilton--Jacobi sense means sub- supersolutions. Second, investigate time/small mutation regime for which, after...
We investigate the super-linear spreading in a reaction-diffusion model analogous to Fisher-KPP equation, but which population is heterogeneous with respect dispersal ability of individuals, and saturation factor non-local one variable. prove that rate acceleration slower than predicted by linear problem, is, without saturation. This hindering phenomenon consequence subtle interplay between non-trivial dynamics some particular curves carry mass at front. A careful analysis these trajectories...
Aim Special AT ‐rich sequence‐binding protein 1 ( SATB 1) is a cell type‐specific matrix attachment region binding protein, functioning as global genome organizer. This study aims to investigate the expression pattern and prognostic value of in colorectal cancer. Methods results Prospectively collected data were obtained tissue microarrays constructed from cohort 352 patients. was evaluated by immunohistochemistry scored two independent investigators. predominantly nuclear both normal cancer...
Response to neoadjuvant chemoradiotherapy (CRT) of rectal cancer is variable. Accurate imaging for prediction and early assessment response would enable appropriate stratification management reduce treatment morbidity improve therapeutic outcomes. Use either diffusion weighted (DWI) or dynamic contrast enhanced (DCE) alone currently lacks sufficient sensitivity specificity clinical use guide individualized in cancer. Multi-parametric MRI analysis combining DWI DCE may have potential the...
We establish a general perturbative method to prove entropic Ricci curvature bounds for interacting stochastic particle systems. apply this obtain in several examples, namely: Glauber dynamics class of spin systems including the Ising and Curie–Weiss models, hard-core models random walks on groups induced by conjugacy invariant set generators.
We study a non-local reaction-diffusion-mutation equation modelling the spreading of cane toads population structured by phenotypical trait responsible for spatial diffusion rate. When space is bounded, admits travelling wave solutions as shown in an earlier work first author and V. Calvez. Here, we prove Bramson type result: lag between position with localized initial data that waves grows <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"...
The Fisher-KPP equation is a model for population dynamics that has generated huge amount of interest since its introduction in 1937. speed with which spreads been computed quite precisely when the initial data, u0, decays exponentially. More recently, though, case data more slowly studied. In Hamel F and Roques L (2010 J. Differ. Equ. 249 1726–45), authors show level sets height m u move super-linearly may be bounded above below by expressions form u0 algebraically small enough order....
Crystal storing histiocytosis (CSH) is a rare condition where crystals accumulate in the cytoplasm of macrophages and usually associated with lymphoplasmacytic neoplasm producing monoclonal immunoglobulin kappa light chain. CSH primary manifestation skin extraordinarily limited to four case reports literature. Here we present two cases cutaneous CSH. One that an 80 year old woman who presented bilateral periorbital oedema yellow discolouration. Skin biopsy showed dermal association...