Digital Commons Network^™

Reexamination Of Vacuum-Polarization Corrections To The Self-Energy In Muonic Bound Systems, B. Ohayon, Ulrich D. Jentschura

Physics Faculty Research & Creative Works

In muonic bound systems, the dominant radiative correction is due to vacuum polarization. Yet, for the interpretation of precision experiments, self-energy effects are also important. In turn, additional vacuum-polarization loops perturb the self-energy. Here we show that combined self-energy vacuum-polarization effects can perturb the bound-state self-energy at the percent level in one-muon bound systems with nuclear charges Z=1-6. We also update previous treatments of the corrections for muonic hydrogen, muonic deuterium, and muonic helium bound systems.

Relativistic And Recoil Corrections To Vacuum Polarization In Muonic Systems: Three-Photon Exchange, Gauge Invariance, And Numerical Values, Gregory S. Adkins, Ulrich D. Jentschura

Physics Faculty Research & Creative Works

For an accurate theoretical description of muonic bound systems, it is crucial to consistently treat relativistic and recoil corrections to vacuum polarization. The one-loop vacuum-polarization effect is by far the dominant quantum electrodynamic (QED) energy correction for bound muons, being of order α(Zα)2mr, where α is the fine-structure constant, Z is the nuclear charge number, and mr is the reduced mass. Gauge invariance of the relativistic and recoil corrections to vacuum polarization of order α(Zα)4mr is investigated with respect to nonretarded and standard, renormalized variants of Coulomb gauge. The invariance is shown after including three-photon exchange diagrams. Our derivation is …

Separation Of Various Higher-Order Effects In The Ionization Of Helium By Proton Impact, S. Majumdar, S. Bastola, A. Hasan, R. Lomsadze, Michael Schulz

Physics Faculty Research & Creative Works

We have measured fully differential cross sections (FDCSs) for ionization of helium by 75 keV proton impact. Data were analyzed for electrons ejected into the scattering plane at projectile energy losses well below and above the matching velocity and for scattering angles ranging between 0.1 and 0.5 mrad. Earlier, we observed clear signatures of the post collision interaction (PCI) at the matching velocity; however, in the current data these signatures are completely absent at small energy losses and residues remain at large energy losses. At small energy losses the FDCSs are dominated by non-PCI higher-order effects.

Multiply Differential Study Of Vibrational Dissociative Capture In P+ D2 Collisions, S. Majumdar, A. Hasan, S. Bastola, B. R. Lamichhane, R. Lomsadze, Michael Schulz

Physics Faculty Research & Creative Works

We have measured multiple differential cross sections for dissociative capture in collisions of 75-keV protons with D2. Data were analyzed for kinetic energy releases (KERs) ranging from 0 to 2 eV, where the dissociation is primarily caused by excitation of the nuclear motion to a vibrational continuum state. Pronounced signatures of two-center interference effects were observed. The data were compared to previously published cross sections for dissociative capture in p+H2 collisions, for which we reported a scattering angle dependent phase shift in the interference term. The D2 data reveal qualitative differences in the interference structure to the H2 case. Some …

Tev Analysis Of A Source-Rich Region With The Hawc Observatory: Is Hess J1809-193 A Potential Hadronic Pevatron?, A. Albert, R. Alfaro, C. Alvarez, J. C. Arteaga-Velázquez, D. Avila Rojas, R. Babu, E. Belmont-Moreno, A. Bernal, M. Breuhaus, K. S. Caballero-Mora, T. Capistrán, A. Carramiñana, S. Casanova, J. Cotzomi, E. De La Fuente, D. Depaoli, N. Di Lalla, R. Diaz Hernandez, B. L. Dingus, M. A. Duvernois, C. Espinova, K. L. Fan, K. Fang, B. Fick, N. Fraija, J. A. Garcia-Gonzalez, F. Garfias, A. Gonzalez Munoz, M. M. Gonzalez, J. A. Goodman, S. Groetsch, J. P. Harding, S. Hernandez-Cadena, I. Herzog, D. Huang, F. Hueyotl-Zahuantitla, P. Huntemeyer, A. Iriarte, V. Joshi, S. Kaufmann, A. Lara, J. Lee, H. Leon Vargas, A. L. Longinotti, G. Luis-Raya, K. Malone, J. Martines-Castro, J. A. Matthews, P. Miranda-Romagnoli, J. A. Montes, J. A. Morales-Soto, E. Moreno, M. Mostafa, L. Nellen, M. Newbold, M. U. Nisa, R. Noriega-Papaqui, M. Osorio, Y. Perez Araujo, E. G. Perez-Perez, C. D. Rho, D. Rosa-Gonzalez, E. Ruiz-Velasco, H. Salazar, A. Sandoval, M. Schneider, J. Serna-Franco, A. J. Smith, Y. Son, R. W. Springer, O. Tibolla, K. Tollefson, I. Torres, R. Torres-Escobedo, R. Turner, F. Urena-Mena, E. Varela, Xiaojie Wang, I. J. Watson, E. Willox, S. Yun-Carcamo, H. Zhou

Physics Faculty Research & Creative Works

HESS J1809-193 is an unidentified TeV source, first detected by the High Energy Stereoscopic System (H.E.S.S.) collaboration. The emission originates in a source-rich region that includes several supernova remnants (SNRs) and pulsars including SNR G11.1+0.1, SNR G11.0-0.0, and the young radio pulsar PSR J1809-1917. Originally classified as a pulsar wind nebula candidate, recent studies show the peak of the TeV region overlapping with a system of molecular clouds. This resulted in the revision of the original leptonic scenario to look for alternate hadronic scenarios. Marked as a potential PeVatron candidate, this region has been studied extensively by H.E.S.S. due to …

Performance Of The Hawc Observatory And Tev Gamma-Ray Measurements Of The Crab Nebula With Improved Extensive Air Shower Reconstruction Algorithms, A. Albert, R. Alfaro, C. Alvarez, A. Andrés, J. C. Arteaga-Velázquez, D. Avila Rojas, H. A. Ayala Solares, R. Babu, E. Belmont-Moreno, A. Bernal, K. S. Caballero-Mora, T. Capistrán, A. Carramiñana, F. Carreón, S. Casanova, U. Cotti, J. Cotzomi, S. Coutiño De León, E. De La Fuente, C. De Leon, D. Depaoli, N. Di Lalla, R. Diaz Hernandez, B. L. Dingus, M. A. Duvernois, K. Engel, T. Ergin, C. Espinoza, K. L. Fan, K. Fang, N. Fraija, S. Fraija, J. A. Garcia-Gonzalez, F. Garfias, H. Goksu, M. M. Gonzalez, J. A. Goodman, S. Groetsch, J. P. Harding, S. Hernandez-Cadena, I. Herzog, J. Hinton, D. Huang, F. Hueyotl-Zahuantitla, P. Huntemeyer, A. Iriarte, S. Kaufmann, A. Lara, J. Lee, H. Leon Vargas, J. T. Linnemann, A. L. Longinotti, G. Luis-Raya, K. Malone, J. Martinez-Castro, J. A. Matthews, P. Miranda-Romagnoli, J. A. Montes, E. Moreno, M. Mostafa, L. Nellen, M. U. Nisa, R. Noriega-Papaqui, L. Olivera-Nieto, N. Omodei, M. Osorio-Archila, Y. Perez Araujo, E. G. Perez-Perez, C. D. Rho, D. Rosa-Gonzalez, E. Ruiz-Velasco, H. Salazar, D. Salazar-Gallegos, A. Sandoval, M. Schneider, G. Schwefer, J. Serna-Franco, A. J. Smith, Y. Son, R. W. Springer, O. Tibolla, K. Tollefson, I. Torres, R. Torres-Escobedo, R. Turner, F. Urena-Mena, E. Varela, Xiaojie Wang, I. J. Watson, K. Whitaker, E. Willox, H. Wu, S. Yu, S. Yun-Carcamo, H. Zhou

Physics Faculty Research & Creative Works

The High-Altitude Water Cherenkov (HAWC) Gamma-Ray Observatory, located on the side of the Sierra Negra volcano in Mexico, has been fully operational since 2015. The HAWC collaboration has recently significantly improved their extensive air shower reconstruction algorithms, which has notably advanced the observatory performance. The energy resolution for primary gamma rays with energies below 1 TeV was improved by including a noise-suppression algorithm. Corrections have also been made to systematic errors in direction fitting related to the detector and shower plane inclinations, O ( 0 .° 1 ) biases in highly inclined showers, and enhancements to the core reconstruction. The …

The Influence Of The Race Of Defendant And The Race Of Victim On Capital Charging And Sentencing In California, Catherine M. Grosso, Jeffrey A. Fagan, Michael Laurence

Faculty Scholarship

The California Racial Justice Act of 2020 recognized racial and ethnic discrimination as a basis for relief in capital cases, expressly permitting several types of statistical evidence to be introduced. This statewide study of the influence of race and ethnicity on the application of capital punishment contributes to this evidence. We draw on data from over 27,000 murder and manslaughter convictions in California state courts between 1978 and 2002. Using multiple methods, we found significant racial and ethnic disparities in charging and sentencing decisions. Controlling for defendant culpability and specific statutory aggravators, we show that Black and Latinx defendants and …

New York Falling Behind In Implementing Bold Climate Law, Michael B. Gerrard

Faculty Scholarship

In July 2019, shortly after Gov. Andrew Cuomo signed the Climate Leadership and Community Protection Act (CLCPA), I wrote in an op-ed, “The champagne corks are still popping. But the realization is dawning that implementing the new law will be really, really hard. New York is boldly going where no state has gone before … It will take a great deal of sweat and treasure (no one knows just how much), as well as a continuation of the political will that brought us to this point.”

We still do not know how much sweat and treasure will be required, but …

From The Bench, Pierre Leval, M. Margaret Mckeown, Jane C. Ginsburg

Faculty Scholarship

Lightly edited transcript of panel comments at the 2023 Symposium, “Rearrange, Transform, or Adapt: The Derivative Works Right After Andy Warhol Foundation v. Goldsmith.”

Predictors Of Outcome And Symptomatic Intracranial Hemorrhage In Acute Basilar Artery Occlusions: Analysis Of The Pc-Search Thrombectomy Registry., Adam T Mierzwa, Ashley Nelson, Sami Al Kasab, Santiago Ortega Gutierrez, Juan Vivanco-Suarez, Mudassir Farooqui, Ashutosh P Jadhav, Shashvat Desai, Gabor Toth, Anas Alrohimi, Thanh N Nguyen, Piers Klein, Mohamad Abdalkader, Hisham Salahuddin, Aditya Pandey, Zachary Wilseck, Sravanthi Koduri, Niraj Vora, Nameer Aladamat, Khaled Gharaibeh, Ehad Afreen, Hisham Al-Hajala, Julie Shawver, Syed Zaidi, Mouhammad Jumaa

Neuroscience Articles

INTRODUCTION: Recent randomized controlled trials demonstrated superiority of mechanical thrombectomy compared to medical therapy in acute basilar artery occlusions, however, little data is available to guide clinicians in functional prognosis and risk stratification.

PATIENTS AND METHODS: Data from the retrospectively established PC-SEARCH Thrombectomy registry, which included patients with basilar artery occlusion from eight sites from January 2015 to December 2021, was interrogated. Outcomes were dichotomized into 90-day favorable (mRS ⩽ 3) and unfavorable (mRS > 3). Multivariate logistic regression analysis was performed with respect to the outcome groups and were adjusted for potential confounding baseline characteristics.

RESULTS: Four-hundred-forty-four patients were included …

Mapping Internationalization Of Curriculum Onto School Psychology And Related Fields: A Systematic Review Of Literature

Journal of Comparative & International Higher Education

No abstract provided.

Current Insights On Using Social Robots To Support Second Language (L2) International Students In Higher Education

Journal of Comparative & International Higher Education

No abstract provided.

(Trade) War And Peace: How To Impose International Trade Sanctions, Gustavo De Souza, Naiyuan Hu, Haishi Li, Yuan Mei

Research Collection School Of Economics

What is the most cost-efficient way to impose trade sanctions against Russia? We build a quantitative model of international trade with input–output connections. Sanctioning countries choose import tariffs to simultaneously maximize their income and minimize Russia's income, with different weights placed on these objectives. We find, first, that for countries with low willingness to pay for sanctions against Russia, the most cost-efficient sanction is an approximately 20% tariff on all Russian products. Second, if countries are willing to pay at least US$0.70 for each US$1 drop in Russian welfare, an embargo on Russia's mining and energy products is the most …

Financial Crises, Bailouts And Monetary Policy In Open Economies, Yang Jiao

Research Collection School Of Economics

I jointly study the optimal bailout policy and monetary policy in open economies that borrow in foreign currency from international lenders. A policy dilemma emerges during financial crises. Policymakers trade off the benefit of more bailouts alleviating firms’ financial constraints against the cost of larger currency devaluation, which tightens firms’ financial constraints. I embed the optimal bailout in an otherwise standard “sudden stop” model with nominal rigidities. The model sheds light on the role of bailouts and currency mismatch in driving the exchange rate dynamics, firms’ balance sheets and economic recovery. Quantitatively, the model matches key business cycle moments. A …

Development Of Tissue-Engineered Model Of Fibrotic Scarring After Spinal Cord Injury To Study Astrocyte Activation And Neurite Outgrowth In Vitro, Nikolas Ala-Kokko, Inha Baek, Younghye Song

Biomedical Engineering Faculty Publications and Presentations

Traumatic spinal cord injuries (SCI) are debilitating injuries affecting twenty-seven million people worldwide and cause functional impairments. Despite decades of research and medical advancements, current treatment options for SCI remain limited, in part due to the complex pathophysiology of spinal cord lesions including cellular transformation and extracellular matrix (ECM) remodeling. Recent studies have increased focus on fibrotic scarring after SCI, and yet much remains unclear about the impact of fibrotic scarring on SCI lesion progression. Here, using collagen and decellularized spinal cord-based composite hydrogels, a three-dimensional (3D) cell culture model mimicking the fibrous core of spinal cord lesions was implemented …

The Scales Project: Making Federal Court Records Free, David L. Schwartz, Kat M. Albrecht, Adam R. Pah, Christopher A. Cotropia, Amy Kristin Sanders, Sarath Sanga, Charlotte S. Alexander, Luís A.N. Amaral, Zachary D. Clopton, Anne M. Tucker, Thomas W. Gaylord, Scott G. Daniel, Nathan Dahlberg

Northwestern University Law Review

Federal court records have been available online for nearly a quarter century, yet they remain frustratingly inaccessible to the public. This is due to two primary barriers: (1) the federal government’s prohibitively high fees to access the records at scale and (2) the unwieldy state of the records themselves, which are mostly text documents scattered across numerous systems. Official datasets produced by the judiciary, as well as third-party data collection efforts, are incomplete, inaccurate, and similarly inaccessible to the public. The result is a de facto data blackout that leaves an entire branch of the federal government shielded from empirical …

A Call To Action: The Shea Research Agenda To Combat Healthcare-Associated Infections., Jennie H. Kwon, Sonali D. Advani, Westyn Branch-Elliman, Barbara I. Braun, Vincent Chi-Chung Cheng, Kathleen Chiotos, Peggy Douglas, Shruti K. Gohil, Sara C. Keller, Eili Y. Klein, Sarah L. Krein, Eric T. Lofgren, Katreena Merrill, Rebekah W. Moehring, Elizabeth Monsees, Luci Perri, Felicia Scaggs Huang, Mark A. Shelly, Felicia Skelton, Emily S. Spivak, Pranavi V. Sreeramoju, Katie J. Suda, Joseph Y. Ting, Gregory David Weston, Mohamed H. Yassin, Matthew J. Ziegler, Lona Mody

Manuscripts, Articles, Book Chapters and Other Papers

No abstract provided.

Performance Of 5 Prominent Large Language Models In Surgical Knowledge Evaluation: A Comparative Analysis, Adam M. Ostrovsky, Joshua R. Chen, Vishal N. Shah, Babak Abai

Department of Surgery Faculty Papers

No abstract provided.

Good Deeds? A Critical Race Analysis Of The Nova Scotia Land Titles Clarification Act, Melisa Marsman

Dalhousie Law Journal

The Nova Scotia Land Titles Clarification Act (“LTCA”) is remedial legislation that was enacted in 1964 to resolve insecure land titles within designated communities, particularly African Nova Scotian communities. However, African Nova Scotians had been advocating for legal title to their land for over 100 years prior to the enactment of the LTCA, and those demands were largely ignored by the government. Furthermore, despite the 60-year existence of this remedial legislation, many African Nova Scotians still hold insecure title to their land. Through a critical race analysis, this article explores why the LTCA has failed to achieve its promise to …

Gender According To World Athletics: The Regulation Of Racialized Athletes From The Global South, Maria Dugas

Dalhousie Law Journal

In March 2023, World Athletics, the regulating body for the sport of Athletics introduced The Eligibility Regulations for the Female Classification (Athletes with Differences of Sex Development). These Regulations limit participation in female Athletics events at international competition and to set world records. They require certain athletes to maintain a testosterone threshold below 2.5nmol/L, despite their naturally occurring testosterone levels. On one level, this paper is about gender regulation in sport, particularly regulating testosterone in elite, female athletes. On another level it is about power and privilege at the intersection of race, nationality, and gender. It argues that through its …

Jurisdiction Devolution: An Interim Transitional Arrangement On The Road To Indigenous Self-Government, Nicole Spadotto

Dalhousie Law Journal

Indigenous self-government is a key component of reconciliation between Canada and Indigenous Nations. The negotiation of self-government agreements and exercise of self-government should occur on Indigenous Peoples’ own terms. Negotiations, however, can be lengthy. There are more immediate power-sharing alternatives. These include recognition legislation, where federal and provincial governments recognize Indigenous Peoples’ inherent right to self-government over certain affairs, thus creating space for Indigenous Nations to exercise their inherent self-government rights. They also include jurisdictional devolution, a fuller form of delegation, which might include law-making and enforcement powers. This latter option is “somewhat unpalatable” because the source of the governance …

Biology Of Diachasmimorpha Longicaudata (Hymenoptera: Braconidae) Reared On Third Instar Larvae Of Bactrocera Dorsalis (Diptera: Tephritidae), Karim Nébié, Rémy Anogmain Dabiré, Alassane Koussoubé, Issaka Zida, Alizèta Sawadogo, Lucien Sawadogo, Antoine Richard Tiendrébéogo, Boureima Tassembédo, Rabiéta Semdé, Lenli Claude Otoidobiga, Saliou Niassy

All Peer-Reviewed Publications

The biology of Diachasmimorpha longicaudata (Ashmead) was studied on third instar larvae of Bactrocera dorsalis (Hendel) to optimize its mass rearing in the laboratory. The mean parasitoid emergence rate ranged from 55–92% during its first 13 days of life. The number of females was higher than that of males. The mean development time from egg to adult emergence was 20.14± 0.02 days in females and 17.72± 0.02 days in males. Fed females lived longer than fed males. Food-deprived females and males lived 72 hr after emergence. The lifespan of males and females was 16.42± 0.53 and 15.86± 0.35 days, respectively, …

Detection And Prevalence Of A Novel Bandavirus Related To Guertu Virus In Amblyomma Gemma Ticks And Human Populations In Isiolo County, Kenya, Hellen Koka, Solomon Langat, Samuel Oyola, Faith Cherop, Gilbert Rotich, James Mutisya, Victor Ofula, Konongoi Limbaso, Juliette R. Ongus, Joel Lutomiah, Rosemary Sang

All Peer-Reviewed Publications

Introduction Emerging tick-borne viruses of medical and veterinary importance are increasingly being reported globally. This resurgence emphasizes the need for sustained surveillance to provide insights into tick-borne viral diversity and associated potential public health risks. We report on a virus tentatively designated Kinna virus (KIV) in the family Phenuiviridae and genus Bandavirus. The virus was isolated from a pool of Amblyomma gemma ticks from Kinna in Isiolo County, Kenya. High throughput sequencing of the virus isolate revealed close relatedness to the Guertu virus. The virus genome is consistent with the described genomes of other members of the genus Bandavirus, with …

Network Resilience Of Plant-Bee Interactions In The Eastern Afromontane Biodiversity Hotspot, Fairo F. Dzekashu, Abdullahi A. Yusuf, Kazuhiro Takemoto, Marcell K. Peters, H. Michael G. Lattorff, Ingolf Steffan-Dewenter, Christian W.W. Pirk

All Peer-Reviewed Publications

Interaction network resilience can be defined as the ability of interacting organisms to maintain their functions, processes or populations after experiencing a disturbance. Studies on mutualistic interactions between plants and pollinators along environmental gradients are essential to understand the provision of ecosystem services and the mechanisms challenging their network resilience. However, it remains unknown to what level ecological changes along climatic gradients constrain the network resilience of mutualistic organisms, especially along elevation gradients. We surveyed bee species and recorded their interactions with plants throughout the four major seasons (i.e. long and short rainy, and long and short dry) on 50 …

Synthesis, Characterization And Antimicrobial Activity Of New 4-Aminoantipyrine Derivatives Using Ultrasonic Mediation, Naween M. Youns

Baghdad Science Journal

A straightforward, one-pot, three-component reaction between substituted aromatic aldehydes, 2-naphthol and 4- aminoantipyrine have been used to synthesis a series of new 4-(((2-hydroxynaphthalen-1-yl) (phenyl) methylene) amino)-1,5-dimethyl-2-phenyl-1,2-dihydro-3H-pyrazol-3-one derivatives (A1- A5). This reaction was carried out with zirconyl chloride (ZrOCl2.8H2O) as an efficient catalyst under the condition of ultrasound irradiation. The fact that these derivatives have the potential to act as building blocks in the production of new compounds makes them very essential 4-(1-phenyl-1H-naphtho[1,2-e] [1,3] oxazin-2(3H)-yl)- 1,5-dimethyl-2-phenyl-1,2-dihydro-3H-pyrazol-3-one derivatives (A6, A7 and A8). Likewise, the MCRs that resulted in the formation of hetero cyclic compound (1,3-naphthoxazine) and included 4-aminoantipyrine, formaldehyde, and 2-naphthol in …

Investigation The Effect Of Thermal Agent On Physical Properties Of Pvc-Pva Blended, Zainab J. Neamah, Shatha H. Mahdi, Kareem A. Jasim

Baghdad Science Journal

In this study, the optical characteristics of polyvinyl chloride(PVC), polyvinyl alcohol (PVA) and binary PVA - PVC blend films at various concentrations PVA75% + PVC25%, PVA50% + PVC50%, and PVA25% + PVC 75% are examined in relation to temperature variations 25, 120 and 140 °C for 1 hour. The binary blend films of polyvinyl chloride and polyvinyl alcohol were produced using casting techniques. UV-visible spectroscopy used to determine the optical properties of the films in the wavelength range (200-900) nm, such as transmittance, absorbance, absorption coefficient and energy gap as well as the impact of temperature on these parameters, were …

An Automated Wavelet Scattering Network Classification Using Three Stages Of Cataract Disease, Enas Hamood Al-Saadi, Ahmed Nidhal Khdiar, Lamis Hamood Al-Saadi

Baghdad Science Journal

A cataract is an eye disease that causes visual distortion and the late stage of this disease can lead to blindness. It is considered a silent disease that can occur without the appearance of symptoms. Therefore, the most effective way to detect cataracts is through accurate and timely detection to prevent hurting, expensive operations, and to stop blindness. The purpose of this paper is to propose an automated system based on the wavelet scattering network which categorizes the patients into four classes: early cataract, intermediate cataract, late cataract, and non-cataract conditions using 512 images of the ODIR dataset (212 Cataract …

Common Fixed-Point Theorems Of Generalization Of Kannan, Chatterjea, And Reich Contractive On B-Metric Space With An Application, Nurul Ilma Islamiyah, Muhammad Zakir, Budi Nurwahyu

Baghdad Science Journal

This paper, established the existence and uniqueness of common fixed points for Kannan, Reich, and Chatterjea-type pairs of self-maps in complete b-metric space. In addition, an example and an application of the existence and uniqueness of common solutions for a system of functional equations arising in dynamic programming are discussed by using our results

Determination Of Quercetin In Iraqi Green Walnut Husk Via Green Ionic Liquid-Based Digestion Extraction And Gel Filtration Procedures-Spectrophotometry And Microfluidic Paper-Based Analytical Platform Detection, Murtadha A. Mohammad, Jwan Oday Abdulsattar, Zaizafoon N. Nasif Nasif

Baghdad Science Journal

This study was conducted to extract, isolate and quantify Quercetin from Iraqi green walnut husk (GWH) using a novel ionic liquid-based digestion extraction and gel filtration procedure coupled with visible spectrophotometry detection and compared with a novel microfluidic paper-based analytical device (µPADs) aiming for an economic, and green method. 1-butyl-3-methylimidazolium chloride (BMIMCl) aqueous solution was used as a green solvent alternative to conventional organic solvents due to their impressive solvation properties. The results showed that 100 mg of plant husk required 15 mL of BMIMCl solvent, and 30 minutes of digestion at 75° C, which involves a simpler, and greener …

Investigation Of Fractional Order Tumor Cell Concentration Equation Using Finite Difference Method, Kalyanrao Takale, Uttam Kharde, Shrikisan Gaikwad

Baghdad Science Journal

The fractional differential equation provides a powerful mathematical framework for modeling and understanding a wide range of complex, non-local and memory-dependent phenomena in various scientific, engineering and real-world applications. Liver metastasis is a secondary cancerous tumor that develops in the liver due to the spread of cancer cells from a primary cancer originating in another part of the human body. The primary focus of this study is to understand tumor growth in the human liver, both in the presence and absence of medication therapy. To achieve this, a temporal fractional-order parabolic partial differential equation is utilized, and its analysis is …