A5053552440- Mathematical Biology Tumor Growth
- Evolution and Genetic Dynamics
- Cancer Genomics and Diagnostics
- Mathematical and Theoretical Epidemiology and Ecology Models
- Chronic Myeloid Leukemia Treatments
- Cancer Cells and Metastasis
- Gene Regulatory Network Analysis
- Evolutionary Game Theory and Cooperation
- Microtubule and mitosis dynamics
- HIV Research and Treatment
- Language and cultural evolution
- Chronic Lymphocytic Leukemia Research
- Lung Cancer Treatments and Mutations
- Categorization, perception, and language
- Virus-based gene therapy research
- COVID-19 epidemiological studies
- Inflammatory mediators and NSAID effects
- HIV/AIDS Research and Interventions
- Bioinformatics and Genomic Networks
- Colorectal Cancer Treatments and Studies
- DNA Repair Mechanisms
- Viral Infectious Diseases and Gene Expression in Insects
- Evolutionary Algorithms and Applications
- Animal Virus Infections Studies
- Color perception and design
University of California, Irvine
2016-2025
University of California, San Diego
2023-2025
Kurgan State University
2021
Weatherford College
2020
Samueli Institute
2020
University of Arizona
2002-2017
Applied Mathematics (United States)
2002-2017
University of California System
2005-2013
UC Irvine Health
2013
Institute for Advanced Study
2000-2005
Chromosomal instability (CIN) is a defining characteristic of most human cancers. Mutation CIN genes increases the probability that whole chromosomes or large fractions are gained lost during cell division. The consequence an imbalance in number per (aneuploidy) and enhanced rate loss heterozygosity. A major question cancer genetics to what extent CIN, any genetic instability, early event consequently driving force for tumor progression. In this article, we develop mathematical framework...
Universal grammar specifies the mechanism of language acquisition. It determines range grammatical hypothesis that children entertain during learning and procedure they use for evaluating input sentences. How universal arose is a major challenge evolutionary biology. We present mathematical framework dynamics learning. The central result coherence threshold, which condition to induce coherent communication within population. study selection grammars same competition between different...
Although targeted therapy is yielding promising results in the treatment of specific cancers, drug resistance poses a problem. We develop mathematical framework that can be used to study principles underlying emergence and prevention cancers treated with small-molecule drugs. consider stochastic dynamical system based on measurable parameters, such as turnover rate tumor cells at which resistant mutants are generated. find arises mainly before start and, for high rates, combination less...
Resistance to cytotoxic chemotherapy is a major cause of mortality in colorectal cancer (CRC) patients. Chemoresistance has been linked primarily subset cells undergoing epithelial-mesenchymal transition (EMT). Curcumin, botanical with antitumorigenic properties, shown enhance sensitivity chemotherapeutic drugs, but the molecular mechanisms underlying this phenomenon remain unclear. Effects curcumin and 5-fluorouracil (5FU) individually, combination, were examined parental 5FU resistant...
Traditionally, it has been held that a central characteristic of stem cells is their ability to divide asymmetrically. Recent advances in inducible genetic labeling provided ample evidence symmetric cell divisions play an important role adult mammalian homeostasis. It well understood the two types differ terms cells' flexibility expand when needed. On contrary, implications and asymmetric for mutation accumulation are still poorly understood. In this paper we study stochastic model renewing...
HIV-1 infection is enhanced by adhesive structures that form between infected and uninfected T cells called virological synapses (VSs). This mode of transmission results in the frequent co-transmission multiple copies across VS, which can reduce sensitivity to antiretroviral drugs. Studying humanized mice, we measured frequency spatiotemporal organization as indicators cell-to-cell vivo. When inoculating mice with co-infected two viral genotypes, observed high levels target cells....
The Bruton tyrosine kinase inhibitor (BTKi) ibrutinib is a new targeted therapy for patients with chronic lymphocytic leukemia (CLL). Ibrutinib given orally on continuous schedule and induces durable remissions in the majority of CLL patients. However, small proportion initially responds to BTKi then develops resistance. Estimating frequency, timing, individual risk developing resistance ibrutinib, therefore, would be valuable long-term management Computational evolutionary models, based...
Evolutionary models on graphs, as an extension of the Moran process, have two major implementations: birth-death (BD) (or invasion process) and death-birth (DB) voter models). The isothermal theorem states that fixation probability mutants in a large group graph structures (known which include regular graphs) coincides with for mixed population. This result has been proved by Lieberman et al. (2005 Nature 433, 312-316. (doi:10.1038/nature03204)) case BD processes, where differ from...
We have analysed the COVID-19 epidemic data of more than 174 countries (excluding China) in period between 22 January and 28 March 2020. found that some (such as USA, UK Canada) follow an exponential growth, while others (like Italy several other European countries) show a power law like growth. Regardless best fitting law, many can be shown to common trajectory is similar (the epicentre at time analysis), but with varying degrees delay. 'younger' epidemics, i.e. where started recently, tend...
Abstract HIV is difficult to eradicate due the persistence of a long-lived reservoir latently infected cells. Previous studies have shown that natural killer cells are important inhibiting infection, but it unclear whether administration can reduce rebound viremia when anti-retroviral therapy discontinued. Here we show allogeneic human peripheral blood delays viral following interruption in humanized mice with HIV-1. Utilizing genetically barcoded virus technology, these efficiently reduced...
Cancers are thought to arise in tissue stem cells, and similar healthy tissue, be maintained by a small population of tumor or initiating whereas the majority cells more differentiated with limited replicative potential. Healthy homeostasis is achieved feedback loops, particular importance has been attached signals secreted from that inhibit stem-cell division self-renewal, as documented olfactory epithelium other tissues. Therefore, key event carcinogenesis must escape these which studied...