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Khanna AS, Edali M, Ozik J, Collier N, Hotton A, Skwara A, Ardestani BM, Brewer R, Fujimoto K, Harawa N, Schneider JA. Projecting the number of new HIV infections to formulate the "Getting to Zero" strategy in Illinois, USA. Math Biosci Eng 2021; 18:3922-3938. [PMID: 34198418 PMCID: PMC8281377 DOI: 10.3934/mbe.2021196] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/13/2023]
Abstract
OBJECTIVES Getting to Zero (GTZ) initiatives focus on expanding use of antiretroviral treatment (ART) and pre-exposure prophylaxis (PrEP) to eliminate new HIV infections. Computational models help inform policies for implementation of ART and PrEP continuums. Such models, however, vary in their design, and may yield inconsistent predictions. Using multiple approaches can help assess the consistency in results obtained from varied modeling frameworks, and can inform optimal implementation strategies. METHODS A study using three different modeling approaches is conducted. Two approaches use statistical time series analysis techniques that incorporate temporal HIV incidence data. A third approach uses stochastic stimulation, conducted using an agent-based network model (ABNM). All three approaches are used to project HIV incidence among a key population, young Black MSM (YBMSM), over the course of the GTZ implementation period (2016-2030). RESULTS All three approaches suggest that simultaneously increasing PrEP and ART uptake is likely to be more effective than increasing only one, but increasing ART and PrEP by 20% points may not eliminate new HIV infections among YBMSM. The results further suggest that a 20% increase in ART is likely to be more effective than a 20% increase in PrEP. All three methods consistently project that increasing ART and PrEP by 30% simultaneously can help reach GTZ goals. CONCLUSIONS Increasing PrEP and ART uptake by about 30% might be necessary to accomplish GTZ goals. Such scale-up may require addressing psychosocial and structural barriers to engagement in HIV and PrEP care continuums. ABNMs and other flexible modeling approaches can be extended to examine specific interventions that address these barriers and may provide important data to guide the successful intervention implementation.
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Affiliation(s)
- Aditya Subhash Khanna
- Center for Alcohol and Addiction Studies, Brown University, Providence RI USA
- Department of Behavioral and Social Sciences, Brown University School of Public Health, Providence RI USA
| | - Mert Edali
- Chicago Center for HIV Elimination, The University of Chicago, Chicago, IL, USA
- Department of Medicine, The University of Chicago, Chicago, IL, USA
- Department of Industrial Engineering, Yildiz Technical University, Besiktas, Istanbul 34349, Turkey
| | - Jonathan Ozik
- Decision and Infrastructure Sciences Division, Argonne National Laboratory, Lemont, IL, USA
| | - Nicholson Collier
- Decision and Infrastructure Sciences Division, Argonne National Laboratory, Lemont, IL, USA
| | - Anna Hotton
- Chicago Center for HIV Elimination, The University of Chicago, Chicago, IL, USA
- Department of Medicine, The University of Chicago, Chicago, IL, USA
| | - Abigail Skwara
- Chicago Center for HIV Elimination, The University of Chicago, Chicago, IL, USA
- Department of Medicine, The University of Chicago, Chicago, IL, USA
| | - Babak Mahdavi Ardestani
- Chicago Center for HIV Elimination, The University of Chicago, Chicago, IL, USA
- Department of Medicine, The University of Chicago, Chicago, IL, USA
| | - Russell Brewer
- Chicago Center for HIV Elimination, The University of Chicago, Chicago, IL, USA
- Department of Medicine, The University of Chicago, Chicago, IL, USA
| | - Kayo Fujimoto
- Center for Health Promotion and Prevention Research, The University of Texas Health Science Center at Houston (UTHealth), Houston, TX, USA
| | - Nina Harawa
- Department of Psychiatry and Human Behavior, Charles R. Drew University, Los Angeles, CA, USA
- Department of Epidemiology, University of California, Los Angeles, CA, USA
| | - John A. Schneider
- Chicago Center for HIV Elimination, The University of Chicago, Chicago, IL, USA
- Department of Medicine, The University of Chicago, Chicago, IL, USA
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Liu J, Zhang L. Strain-induced packing transition of Ih Cu n@Ag 55-n(n=0, 1, 13, 43) clusters from atomic simulations. Math Biosci Eng 2020; 17:6390-6400. [PMID: 33378860 DOI: 10.3934/mbe.2020336] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/12/2023]
Abstract
Strain is of significance in packing transition, but the key structural information for metal nanoclusters is still limited. Atomic simulations using molecular dynamics (MD) were performed to explore the microscopic details of atomic packing transition in four icosahedral (Ih) Cun@Ag55-n clusters without or with different number of Cu core atoms. Analytical tools were used to demonstrate the packing transition including internal energy per atom, shape factor, pair distribution functions, and atomic stress as well as cross-sectional images. The simulation results showed the differences of strain distribution between the surface and interior regions of these clusters at elevated temperature, which affected the transition temperatures of these four clusters. The increasing temperature resulted in strong tensile strain in the surfaces and Cu/Ag interfaces, which decreased the packing transition from Ih configuration as well as the shape changes.
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Affiliation(s)
- Jinhan Liu
- Key Laboratory for Anisotropy and Texture of Materials (Ministry of Education), Northeastern University, Shenyang 110819, China
- School of Materials Science and Engineering, Northeastern University, Shenyang 110819, China
| | - Lin Zhang
- Key Laboratory for Anisotropy and Texture of Materials (Ministry of Education), Northeastern University, Shenyang 110819, China
- The State Key Laboratory of Rolling and Automation, Northeastern University, Shenyang 110819, China
- School of Materials Science and Engineering, Northeastern University, Shenyang 110819, China
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Hoffmann B, Schumacher U, Wedemann G. Absence of convection in solid tumors caused by raised interstitial fluid pressure severely limits success of chemotherapy-a numerical study in cancers. Math Biosci Eng 2020; 17:6128-6148. [PMID: 33120592 DOI: 10.3934/mbe.2020325] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/11/2023]
Abstract
In comparison with lymphomas and leukemias, chemotherapy of solid neoplasms, i.e., cancer, has much more limited success in curing the patient. This lack of efficacy of chemotherapy has been attributed to increased interstitial fluid pressure within cancers, which obstructs convection and only permits diffusion of oxygen and nutrients about 100 μm from blood vessels. As diffusion is limited to this distance, hypoxic and necrotic fractions within the tumor are observed beyond this region. The comparably small number of cancer cells that can be targeted with drugs inevitably leads to an ineffective treatment response. This study presents an analysis of the influence of interstitial fluid pressure on the chemotherapeutic effect in an HT29 human colon cancer xenograft mouse tumor model. To investigate the limited distribution of drugs into primary tumor and metastases, we developed a mathematical model describing tumor growth dynamics of oxygenated, hypoxic, and necrotic fractions, combined with a pharmacokinetic-pharmacodynamic model describing the behavior and effectivity of the chemotherapeutic agent. According to the numerical simulations, the age of the tumor at treatment was the decisive factor in the reduction in size of the primary tumor. This effect is mediated by the rapid decrease in the percentage of oxygenated cells within the tumor, which reduces the fraction of cells that can be affected by the drug. As in the primary tumor, interstitial fluid pressure builds up in metastases when they reach a specific size, leading to the formation of tumor fractions. This behavior is absent if the metastasis enters a dormant phase before the threshold for the development of interstitial fluid pressure has been reached. The small size of these metastases maximizes therapeutic success since they consist only of oxygenated cells, and the drug therefore affects all the cells.
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Affiliation(s)
- Bertin Hoffmann
- Competence Center Bioinformatics, Institute for Applied Computer Science, University of Applied Sciences Stralsund, Zur Schwedenschanze 15, 18435 Stralsund, Germany
| | - Udo Schumacher
- Institute for Anatomy and Experimental Morphology, University Cancer Center, University Medical Center Hamburg-Eppendorf, Martinistraße 52, 20246 Hamburg, Germany
| | - Gero Wedemann
- Competence Center Bioinformatics, Institute for Applied Computer Science, University of Applied Sciences Stralsund, Zur Schwedenschanze 15, 18435 Stralsund, Germany
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