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2. Arithmetic of semisubtractive semidomains

Author

Fox, Hannah, Goel, Agastya, and Liao, Sophia

Subjects
Mathematics - Commutative Algebra, Primary: 16Y60, 11C08, Secondary: 20M13, 13F05
Abstract

A subset $S$ of an integral domain is called a semidomain if the pairs $(S,+)$ and $(S\setminus\{0\}, \cdot)$ are commutative and cancellative semigroups with identities. The multiplication of $S$ extends to the group of differences $\mathscr{G}(S)$, turning $\mathscr{G}(S)$ into an integral domain. In this paper, we study the arithmetic of semisubtractive semidomains (i.e., semidomains $S$ for which either $s \in S$ or $-s \in S$ for every $s \in \mathscr{G}(S)$). Specifically, we provide necessary and sufficient conditions for a semisubtractive semidomain to be atomic, to satisfy the ascending chain condition on principals ideals, to be a bounded factorization semidomain, and to be a finite factorization semidomain, which are subsequent relaxations of the property of having unique factorizations. In addition, we present a characterization of factorial and half-factorial semisubtractive semidomains. Throughout the article, we present examples to provide insight into the arithmetic aspects of semisubtractive semidomains., Comment: 15 pages

Published
2023

3. Para-infectious brain injury in COVID-19 persists at follow-up despite attenuated cytokine and autoantibody responses

Author

Michael, Benedict D., Dunai, Cordelia, Needham, Edward J., Tharmaratnam, Kukatharmini, Williams, Robyn, Huang, Yun, Boardman, Sarah A., Clark, Jordan J., Sharma, Parul, Subramaniam, Krishanthi, Wood, Greta K., Collie, Ceryce, Digby, Richard, Ren, Alexander, Norton, Emma, Leibowitz, Maya, Ebrahimi, Soraya, Fower, Andrew, Fox, Hannah, Tato, Esteban, Ellul, Mark A., Sunderland, Geraint, Held, Marie, Hetherington, Claire, Egbe, Franklyn N., Palmos, Alish, Stirrups, Kathy, Grundmann, Alexander, Chiollaz, Anne-Cecile, Sanchez, Jean-Charles, Stewart, James P., Griffiths, Michael, Solomon, Tom, Breen, Gerome, Coles, Alasdair J., Kingston, Nathalie, Bradley, John R., Chinnery, Patrick F., Cavanagh, Jonathan, Irani, Sarosh R., Vincent, Angela, Baillie, J. Kenneth, Openshaw, Peter J., Semple, Malcolm G., Taams, Leonie S., and Menon, David K.

Published
2023
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5. The utility of immune function profiling in rheumatoid arthritis therapeutic efficacy monitoring

Author

Fox, Hannah Louise, Ferry, Berne, Brooks, Susan, Sadler, Ross, and Ayers, Lisa

Abstract

Rheumatoid Arthritis (RA) is a chronic, systemic autoimmune disease, primarily affecting the small joints of the hands, wrists and feet. Disease onset is insidious with classical symptoms including pain, morning stiffness, and persistent synovitis; accompanied by fatigue, malaise and weight loss. RA patients also suffer from a number of extra-articular manifestations and additional comorbidities, including rheumatoid nodules and scleritis; as well as an increased risk of cardiovascular disease (CVD), lymphoma and infection. Ultimately, RA is a devastatingly progressive disease, if a diagnosis and an effective therapeutic regimen is not established quickly. Identifying when a therapy is proving ineffective can be difficult, however, and is reliant upon accurate formal joint counts, CRP measurements and patient global assessments. These are potentially insensitive means of assessing remission and may result in delayed changes to therapeutic regimens. The identification of new biomarkers to improve the predictive value of these evaluation models would therefore greatly benefit patient care. Based upon current evidence, it has been hypothesized that RA patients who fail to make a clinical improvement following the initiation of csDMARD and bDMARD therapeutic regimens are identifiable by their profile of the following CD4+ T-cell populations: follicular helper, memory helper, antigen-specific and naturally-occurring regulatory CD4+ T-cells. As such, flow cytometric assays have developed for the identification and enumeration of these respective CD4+ T-cell populations; the relative and absolute counts of which were investigated within a cohort of healthy controls, with normal distributions established. Subsequently, we have identified distinct alterations to the CD4+ T-cell compartments of newly-diagnosed, treatment-naïve and longstanding RA patients, with clear associations with patient clinical outcomes observed. Of notable significance, the relative distribution of CCR4- Th2-like follicular helper CD4+ T-cells within newly-diagnosed, treatment-naïve RA patients at the time of diagnosis, has proven highly predictive of therapeutic efficacy; with changes in the relative distribution of Th17-like follicular helper and Th17 memory helper CD4+ T-cells also associated with changes to disease activity over time. Furthermore, consistent with previous studies, the CMV status of newly-diagnosed, treatment-naïve and longstanding RA patients, is associated with an aggravated clinical course; with changes in CMV-specific CCR4+ Th17 cell responses related to changes in disease activity 12-months after the initiation of a csDMARD therapeutic regimen. No such relationships could, however, be discerned within the naturally-occurring regulatory CD4+ T-cell compartment, limiting the utility of employing naturally-occurring regulatory CD4+ T-cell measurements in therapeutic efficacy monitoring. Nevertheless, these preliminary results indicate that the addition of follicular helper, memory helper and CMV-specific CD4+ T-cell responses to current remission assessment practices, could improve the identification of RA therapy non-responders, enabling the swift adjustment of RA patient therapeutic regimens and, consequently, improving disease management.

Published
2018
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6. An Electrolytic Elemental Iron Powder Effectively Regenerates Hemoglobin in Anemic Rats and Is Relatively Well Absorbed When Compared to Ferrous Sulfate Monohydrate.

Author

Swain, James H., Glosser, Logan D., Jang, Caroline J., Nemeth, Ryan C., Bethi, Anshul R., Zheng, Eva L., Boron, Evelyn R., and Fox, Hannah M.

Abstract

Elemental iron powders are used as food fortificants to reduce the incidence of iron deficiency anemia. However, many commercially available iron powders are relatively untested in vivo. The purpose of this study was to determine the hemoglobin regeneration efficiency (HRE) and relative iron bioavailability (RBV) of an electrolytic elemental iron powder (EIP), by treating anemic rats with 14 d iron repletion diets fortified with four different concentrations (12, 24, 36, or 48 mg iron/kg diet) of EIP and bakery-grade ferrous sulfate monohydrate (FS; FeSO4•H2O), or no added iron (control); n = 9–12/group. The HRE of FS was significantly higher (p ≤ 0.05) than EIP at each concentration of dietary iron tested. For EIP, the HREs (ratios) of diets containing 12, 24, 36, and 48 mg iron/kg were 0.356, 0.205, 0.197, and 0.163, respectively. For both EIP and FS, HRE was inversely associated with increasing dietary iron. The RBVs (%) of iron from EIP in diets at 12, 24, 36, and 48 mg iron/kg as compared to FS were 64.5, 59.1, 50.6, and 54.3%, respectively. Overall, findings show that at the concentrations of iron tested, EIP has RBVs greater than 50% and is an effective fortification agent to replenish hemoglobin and correct iron deficiency anemia. [ABSTRACT FROM AUTHOR]

Published
2024
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8. Ultrahigh frequencies of peripherally matured LGI1- and CASPR2-reactive B cells characterize the cerebrospinal fluid in autoimmune encephalitis

Author

Theorell, Jakob, primary, Harrison, Ruby, additional, Williams, Robyn, additional, Raybould, Matthew I. J., additional, Zhao, Meng, additional, Fox, Hannah, additional, Fower, Andrew, additional, Miller, Georgina, additional, Wu, Zoe, additional, Browne, Eleanor, additional, Mgbachi, Victor, additional, Sun, Bo, additional, Mopuri, Rohini, additional, Li, Ying, additional, Waters, Patrick, additional, Deane, Charlotte M., additional, Handel, Adam, additional, Makuch, Mateusz, additional, and Irani, Sarosh R., additional

Published
2024
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14. Arithmetic of semisubtractive semidomains.

Author

Fox, Hannah, Goel, Agastya, and Liao, Sophia

Abstract

A subset S of an integral domain is called a semidomain if the pairs (S, +) and (S∖{0},⋅) are commutative and cancellative semigroups with identities. The multiplication of S extends to the group of differences 풢(S), turning 풢(S) into an integral domain. In this paper, we study the arithmetic of semisubtractive semidomains (i.e. semidomains S for which either s ∈ S or − s ∈ S for every s ∈풢(S)). Specifically, we provide necessary and sufficient conditions for a semisubtractive semidomain to be atomic, to satisfy the ascending chain condition on principals ideals, to be a bounded factorization semidomain, and to be a finite factorization semidomain, which are subsequent relaxations of the property of having unique factorizations. In addition, we present a characterization of factorial and half-factorial semisubtractive semidomains. Throughout the paper, we present examples to provide insight into the arithmetic aspects of semisubtractive semidomains. [ABSTRACT FROM AUTHOR]

Published
2024
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18. Para-infectious brain injury in COVID-19 persists at follow-up despite attenuated cytokine and autoantibody responses

Author

Michael, Benedict D., primary, Dunai, Cordelia, additional, Needham, Edward J., additional, Tharmaratnam, Kukatharmini, additional, Williams, Robyn, additional, Huang, Yun, additional, Boardman, Sarah A., additional, Clark, Jordan, additional, Sharma, Parul, additional, Subramaniam, Krishanthi, additional, Wood, Greta K., additional, Collie, Ceryce, additional, Digby, Richard, additional, Ren, Alexander, additional, Norton, Emma, additional, Leibowitz, Maya, additional, Ebrahimi, Soraya, additional, Fower, Andrew, additional, Fox, Hannah, additional, Tato, Esteban, additional, Ellul, Mark, additional, Sunderland, Geraint, additional, Held, Marie, additional, Hetherington, Claire, additional, Nkongho, Franklyn, additional, Palmos, Alish, additional, Grundmann, Alexander, additional, Stewart, James P., additional, Griffiths, Michael, additional, Solomon, Tom, additional, Breen, Gerome, additional, Coles, Alasdair, additional, Cavanagh, Jonathan, additional, Irani, Sarosh R., additional, Vincent, Angela, additional, Taams, Leonie, additional, and Menon, David K., additional

Published
2023
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19. El Azulejo de Garganta Canela

Author

Fox, Hannah, primary, Wight, Bethany, additional, Ellington, E. Hance, additional, Areingdale, Alejandra, additional, Acevedo, Miguel, additional, Campos Krauer, Juan, additional, and Ubeda, Armando, additional

Published
2023
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25. Scoping Review of Pre-clinical and Translational Studies on Macrophage Polarization in Nanoparticle-based Cancer Immunotherapy

Author

Bilynsky, Colette, Han, Wonhee, Gupta, Anushree, Aldarondo, Dasia, Fox, Hannah, Brown, Chloe, Mbembo, Archippe, Anand, Megha, McAfee, Marissa, Bauldock, Jacob, Gainey, Melanie, Young, Sarah, and Wayne, Elizabeth

Subjects
FOS: Nanotechnology, biology, nanoparticle, evidence synthesis, Diseases, macrophage, nanomedicine, Nanoscience and Nanotechnology, cancer therapeutics, Engineering, Neoplasms, biomedical engineering, Medicine and Health Sciences, Nanotechnology, cancer, tumor microenvironment, immunotherapy, scoping review, Biomedical Engineering and Bioengineering
Abstract

This is a preregistration of the protocol for Scoping Review of Pre-clinical and Translational Studies on Macrophage Polarization in Nanoparticle-based Cancer Immunotherapy. This project aims to answer whether there is an identifiable relationship between nanoparticle characterization (i.e. type, size, shape charge, cargo) and their ability to modulate macrophage polarization in the tumor microenvironment.

Published
2022
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33. sj-pdf-1-jrn-10.1177_17449871211034548 – Supplemental Material for Quantifying the health needs of migrants in vulnerable circumstances registered with a nurse-led primary care service

Author

Clark, Emily, Fox, Hannah, Gillam, Tara B, and Clarry, Clodagh

Subjects
111099 Nursing not elsewhere classified, 160807 Sociological Methodology and Research Methods, FOS: Health sciences, FOS: Sociology
Abstract

Supplemental Material, sj-pdf-1-jrn-10.1177_17449871211034548 for Quantifying the health needs of migrants in vulnerable circumstances registered with a nurse-led primary care service by Emily Clark, Hannah Fox, Tara B Gillam and Clodagh Clarry in Journal of Research in Nursing

Published
2022
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41. A Vaporizing Revelation

Author

Prats, Michael I., primary, Sharkey-Toppen, Travis P., additional, Robinson, Kelli Y., additional, Fox, Hannah K., additional, Sylvester, Patrick, additional, Branditz, Lauren D., additional, Yee, Jennifer, additional, and Bahner, David P., additional

Published
2021
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42. P-71 Incidence of contralateral neck failure (CNF) after long-term follow-up in HPV positive oropharyngeal carcinoma treated with unilateral neck irradiation with or without primary surgery

Author

Uzzaman, Lubna Sayyed Akber, primary, Jamil, Fatima, additional, Kelly, Charles, additional, O'Hara, James, additional, Fox, Hannah, additional, Hamilton, David Winston, additional, Warner, Laura, additional, Robinson, Max, additional, Willis, Nick, additional, and Iqbal, Muhammad Shahid, additional

Published
2021
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43. Primary transoral robotic surgery +/‐ adjuvant therapy for oropharyngeal squamous cell carcinoma—A large observational single‐centre series from the United Kingdom

Author

O’Hara, James, primary, Warner, Laura, additional, Fox, Hannah, additional, Hamilton, David, additional, Meikle, David, additional, Counter, Paul, additional, Robson, Andrew, additional, Goranova, Rebecca, additional, Iqbal, Shahid, additional, Kelly, Charles, additional, Robinson, Max, additional, and Paleri, Vinidh, additional

Published
2021
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44. Pangea Playback Theatre's 'What Now?'

Author

Fox, Hannah and Fox, Hannah

Abstract

On June 11, 2021, Pangea Playback Theatre gave a performance on the theme of “What Now?” for a public audience of friends and family. This was the group’s second public performance after a year’s worth of numerous private online performances for clients. Hannah Fox, seen Conducting this performance, is the daughter of Jonathan Fox & Jo Salas (co-founders of the original Playback Theatre) and is Co-Director of the New York School of Playback Theatre (nyspt.org/). Production Credits: Conductor｜Hannah Fox Musician｜Steve Nash Actors｜Joyce Lu, Cherae Halley, Ricardo Pérez González, Will C Technician | Federico Mallet Flores Duration: 1 hr, 32 min Forms Used: “Zoom” (Fluid) Sculpture｜Perspectives | Story | 3-Part Story｜Tableau｜Beat This performance in featured in "Storytelling on Screen: An Online Playback Theatre Archive and Guidebook" by Jordan Rosin and Heidi Winters Vogel, which is available at http://hdl.handle.net/10919/104420.

Published
2021

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