Variable Rate Research Articles

Fit Testing Failure of Reprocessed "Duckbill"-Type N95 Masks.

In response to worldwide shortages of N95 masks during the severe acute respiratory syndrome-coronavirus-2 pandemic, various strategies have been used. The Centers for Disease Control and Prevention recommend several strategies, including simple isolation to reprocessing methods using vaporized hydrogen peroxide to guide reuse of masks up to five times. National Institute for Occupational Safety and Health (NIOSH) quantitative fit testing was performed after five trials of donning and doffing in one cohort of new masks and two cohorts of repeatedly sterilized "duckbill"-type N95 masks. One cohort of new masks and two cohorts of sterilized masks were repeatedly subjected to 35% vaporized hydrogen peroxide for either five or 10 cycles. Then, they were subjected to five trials of donning and doffing, with NIOSH quantitative fit testing performed after each wear cycle to assess for any degradation on fit performance caused by sterilization and/or repeated donning and doffing up to the recommended Centers for Disease Control and Prevention limit of five times. All of the fit testing was performed on a single volunteer. The means and 95% confidence intervals for each cohort and the individual results for each mask within each cohort were reported. A χ2 analysis showed significant differences in percentages of masks that pass fit testing in both recycled mask cohorts. These data show the variability of NIOSH fit testing results of both new and sterilized masks. The mask recycling program of our partner health systems thus discarded these types of masks due to the variable failure rate. Health systems should consider individual evaluation to inform their overall policies on mask reuse and recycling.

Complex dynamics of an SIHR epidemic model with variable hospitalization rate depending on unoccupied hospital beds

In this paper, we propose an susceptible-infectious-hospitalized-recovered (SIHR) epidemic model with a nonlinear hospitalization rate depending on the number of unoccupied hospital beds. Note that the number of all hospital beds is used as a measure of all available medical resources. The basic reproduction number is calculated using the next-generation matrix method. We analyze the existence of endemic equilibria and discuss the global stability of the disease-free equilibrium. Existence and stability of endemic equilibria indicate possible occurrences of bifurcations. We confirm the appearance of backward bifurcation, saddle–node bifurcation, Hopf bifurcation, and Bogdanov–Takens bifurcation using normal form theory and central manifold theory. Numerical simulations show that the dynamic behavior of the model undergoes a transition from forward bifurcation to backward bifurcation and saddle–node bifurcation when the number of total hospital beds is reduced. Our findings suggest that when the number of total hospital beds falls below a threshold, backward bifurcation will occur, meaning that the disease cannot be eliminated even if the basic reproduction number is below unity. Therefore, the number of hospital beds should be increased beyond the bed threshold during an outbreak of a disease, which has important implications for disease control.

Evaluation of healing after arthroscopic repair of lateral meniscal tears around the popliteal hiatus

BackgroundThe popliteal hiatus stabilizes the lateral meniscus (LM). Variable failure rates for LM repairs have been reported in knees with lateral meniscal tears (LMTs), which may be attributable to low vascularity around the popliteal hiatus. An effective repair method is essential to enhance the biological healing and stability of LMTs around the popliteal hiatus. HypothesisArthroscopic repair of LMTs, including the popliteus tendon around the popliteal hiatus, is expected to produce a low reoperation rate and effective treatment, both clinically and radiographically. Material and methodsFrom June 2011 to August 2020, 93 patients (mean age 27.9 ± 13.5 years) who underwent arthroscopic repair of LMTs including the popliteus tendon around the popliteal hiatus were enrolled. Patients with LMTs were divided into three groups: isolated LMTs, discoid LMTs, and LMTs with ACL injury. Patients had a minimum clinical follow-up of 2 years (mean 37.9 ± 19.3 months) and Tegner activity, Lysholm knee, and Hospital for Special Surgery (HSS) scores were evaluated for all patients. The widths of the popliteal hiatus and LM extrusion were measured on the sagittal and coronal planes using preoperative and postoperative magnetic resonance imaging (MRI). ResultsThe Tegner activity (2.6 ± 1.2–4.5 ± 1.3), Lysholm (67.9 ± 14.2–88.1 ± 6.4), and HSS scores (79.8 ± 11.5–93.7 ± 5.1) were significantly improved in all knees (p < 0.001). The width of the popliteal hiatus measured on MRI was significantly decreased, when comparing the preoperative and postoperative MRI for all knees (sagittal plane, 2.9 ± 1.4–1.5 ± 0.5 mm; coronal plane, 3.8 ± 2.5 to 1.9 ± 1.0 mm) (p < 0.05). The LM extrusion measured on the sagittal plane of postoperative MRI was also significantly reduced after arthroscopic repair (24.8 ± 3.1–23.7 ± 2.8 mm) (p = 0.001). Five reoperations (5/93, 5.3%) were performed, suggesting a clinical failure. ConclusionArthroscopic repair of isolated, discoid and post-traumatic LMTs including the popliteus tendon around the popliteal hiatus, is an effective surgical treatment for LM stabilization. Level of evidenceLevel IV, retrospective series.

Does tilt-retrograde intrarenal surgery enhance stone clearance and offer better surgical ergonomics in patients with renal calculi? A prospective randomized control study

Introduction: Retrograde intrarenal surgery (RIRS) is the standard treatment for renal calculi. Direct visualization and fragmentation are its major advantages. The variable stone clearance rates and the ergonomic challenges faced by urologists are a few limitations. Table tilt enhances stone clearance and improves surgical ergonomics by facilitating better access to stones and reducing procedural strain. Subjects and Methods: In this prospective study, patients with intrarenal calculi were randomized into standard lithotomy RIRS (S-RIRS) and table-tilted RIRS (T-RIRS) groups. Specified table tilts were suggested for each of the stone locations. The outcomes with regard to stone clearance, operative and lasing time, and ergonomics were studied. Results: About 100 patients were studied, with 50 in each group. The overall operating time and lasing time in the T-RIRS group were less than that in the S-RIRS group (P &lt; 0.001). The complication rates were the same in both groups. Most surgeons felt that the surgical ergonomics was better in the T-RIRS group (P &lt; 0.001). When stone-free status was analyzed, seven patients in the S-RIRS group and one in the T-RIRS group had residual stones. The mean Borg category-ratio 10 (CR-10) scores in the S-RIRS and T-RIRS groups were 4.18 and 2.20, respectively (P &lt; 0.001). Conclusions: This is the first study to document the distinct advantages of T-RIRS and its benefits on surgical ergonomics. T-RIRS resulted in significantly shorter operative and lasing times, particularly for stones in lower calyces. Surgical ergonomics, assessed by the Borg CR-10 scale, were significantly better in the T-RIRS group. T-RIRS should become a standard of care for patients undergoing RIRS.

Mid-spatial frequency reduction via zero-depth of cut rapid-feed passes in face-turning

The single point diamond turning process (SPDT) is used widely in creating optical grade mirror surfaces on several engineering materials ranging from polymers, and metals, to brittle materials such as silicon and germanium. In visual optic mirror applications, mid-spatial frequency (MSF) errors generated during the SPDT process interfere with the visible spectrum of light thereby affecting the image quality. To overcome these errors, a post-processing operation of polishing the optical mirrors is required. The post-processing step not only increases the complexity of the manufacturing process but also leads to minor geometrical form changes in the mirror which affects performance. To avoid post-processing and minimize MSFs formed during turning- a novel method to modify the toolpath during the machining process has been proposed in this paper. The suggested toolpath strategy comprises two consecutive operations: i) employing variable low feed rates with the specified depth of cut (DoC) and ii) executing rapid traverse rates with zero depth of cut for a predetermined number of passes. The effectiveness of the proposed strategy is tested by carrying out facing experiments in a micro-precision CNC lathe. The power spectral density (PSD) content of the machined surface is then analyzed to check for any improvement in the frequency characteristics. The results show that the frequency errors generated by the toolpath in normal turning operations can be minimized, distributing the resulting PSD peak over a wide range of spatial frequencies. From the PSD plots, it is observed that there is a decrease of 77% and 85.82% in the peak intensity values when compared with surfaces machined at constant feedrates of 150 μm/rev and 200 μm/rev respectively. This method can be applied to nanoprecision SPDT machines to improve the surface quality and to eliminate the MSF errors of the visual optical grade mirrors without the need for post-processing.

Impact of perfusion on neuronal development in human derived neuronal networks.

Advanced in vitro models of the brain have evolved in recent years from traditional two-dimensional (2D) ones, based on rodent derived cells, to three-dimensional (3D) ones, based on human neurons derived from induced pluripotent stem cells. To address the dynamic changes of the tissue microenvironment, bioreactors are used to control the in vitro microenvironment for viability, repeatability, and standardization. However, in neuronal tissue engineering, bioreactors have primarily been used for cell expansion purposes, while microfluidic systems have mainly been employed for culturing organoids. In this study, we explored the use of a commercial perfusion bioreactor to control the culture microenvironment of neuronal cells in both 2D and 3D cultures. Namely, neurons differentiated from human induced pluripotent stem cells (iNeurons) were cultured in 2D under different constant flow rates for 72 h. The impact of different flow rates on early-stage neuronal development and synaptogenesis was assessed by morphometric characterization and synaptic analysis. Based on these results, two involving variable flow rates were developed and applied again in 2D culture. The most effective protocol, in terms of positive impact on neuronal development, was then used for a preliminary study on the application of dynamic culturing conditions to neuronal cells in 3D. To this purpose, both iNeurons, co-cultured with astrocytes, and the human neuroblastoma cells SH-SY5Y were embedded into a hydrogel and maintained under perfusion for up to 28 days. A qualitative evaluation by immunocytochemistry and confocal microscopy was carried out to assess cell morphology and the formation of a 3D neuronal network.

Decoding microbial keratitis: Epidemiology, clinical spectrum, and treatment outcomes in a tertiary care setting

Background: Infectious keratitis poses a significant public health challenge worldwide, with variable incidence rates reported globally. Timely diagnosis and intervention are crucial to prevent ocular morbidity and potential blindness. Aims and Objectives: This study aimed to study and investigate the epidemiology, risk factors, etiology, clinical progression, microbiological findings, and treatment outcomes of microbial keratitis in a tertiary care center in western India. Materials and Methods: We conducted a prospective observational study from July 2020 to July 2022, enrolling 90 patients with suspected microbial keratitis. Clinical data were collected, and statistical analysis was performed using SPSS 26.0, with P&lt;0.05 considered statistically significant. Results: Most patients were males (67.80%) and laborers (27.8%) from urban areas, with fungal keratitis being more prevalent in rural regions. No statistically significant associations were found between keratitis type and demographic factors, such as age, gender, occupation, or socioeconomic status. Bacterial keratitis was more common in urban areas. Delayed presentation was linked to larger ulcers and worse visual outcomes. Fungal keratitis presented with smaller but deeper ulcers compared to bacterial keratitis. We found 8.06% positivity rate for Gram and KOH stain each. Microbiological cultures identified bacteria and fungi in 11.29% and 20.97% samples, respectively. Treatment varied from topical medications to surgery, with 26.67% of patients receiving both. Conclusion: Our findings underscore the importance of prompt diagnosis, targeted treatment, and comprehensive microbiological workup in managing microbial keratitis to prevent vision and eye loss. Further research is warranted to enhance understanding and optimize management strategies for this sight-threatening condition.

Long-term Outcomes After Total Ankle Arthroplasty: A Systematic Review.

Total ankle arthroplasty has emerged as a treatment to successfully treat ankle arthritis. Recent studies have reported more than 40 000 total ankle arthroplasties (TAAs) being performed between 2009 and 2019 in the United States. Although recent studies have reported favorable patient-reported outcomes at short- and midterm follow-up, there is a paucity of aggregate literature reporting on long-term patient-reported outcomes (PROs) after TAA. The purpose of this review is to report an aggregate of literature on minimum 10-year patient-reported outcomes after TAA. A systematic review was conducted in accordance with the Preferred Reporting Items for Systematic Reviews and Meta-Analysis (PRISMA) guidelines. PubMed, Scopus, and Cochrane Central Register of Controlled Trials (CENTRAL) were queried in June 2024. Primary research articles were included if they reported minimum 10-year PROs or satisfaction for patients who underwent primary TAA and were written in English. Survivorship was reported based on implant failure, which was determined uniquely by each study. Eight studies met the inclusion criteria. A total of 595 ankles with a range of average ages from 51 to 73.7 years were included in the study with follow-up ranging from a minimum of 10 years to a minimum of 20 years. Six of the 8 studies reported average follow-up ranging from 11.9 to 15.8 years. Two of the 8 studies reported significant improvement in PROs following surgery. Survivorship at a minimum of 10-year follow-up ranged from 66% to 94.4%. Average time to implant failure ranged from 4.6 to 13.8 years. Patients undergoing primary TAA were reported to have generally improved PROs at minimum 10- year follow-up. However, they demonstrated variable rates of survivorship ranging from 66% to 94.4%. Of those experiencing implant failure, average time to failure ranged from 4.6 to 13.8 years. Survivorship should be interpreted with caution because of varying definitions between studies. Further studies should seek to standardize the definition of survivorship and reporting of PROs to allow for effective analysis of heterogeneity.

Development of a Fuzzy Variable Rate Irrigation Control System Based on Remote Sensing Data to Fully Automate Center Pivots

Development of a Fuzzy Variable Rate Irrigation Control System Based on Remote Sensing Data to Fully Automate Center Pivots

Transfer Pricing Decisions: Tax Income, Exchange Rate, Tunneling Incentive and Multinationality

Transfer pricing can be misapplied by the company by transferring taxable income to subsidiaries and companies with special relationships to significantly push down the tax expense. This research aims to determine factors that can affect transfer pricing decisions. Those factors include tax income, exchange rates, tunnelling incentives, and multinationals. The research object of this research is a company from the consumer non-cyclical sector listed on the Indonesia Stock Exchange (IDX) from 2017 to 2021. The samples are eight companies selected with purposive sampling technique, resulting in 40 observation data. The analysis technique implemented in this research is panel data regression tested Eviews12. This research reveals that tax income and tunnelling incentives negatively influence transfer pricing decisions. At the same time, the exchange rate and multi-nationality do not affect transfer pricing decisions. Variable tax income, exchange rate, tunnelling incentives, and multinationals have simultaneously affected transfer pricing decisions.

Application of dynamic material balance to evaluate oil wells in Buzurgan oil field

The Material Balance Equation is a crucial tool utilized in reservoir studies to evaluate fluids and rock properties at static pressures. The Flowing and Dynamic Material Balance methods offer a significant advantage by avoiding the requirement to shut down wells, as they use flowing pressure instead of static pressure under constant or variable flow rates. The concept of "Dynamic Material Balance" involves converting the bottom hole flowing pressure at any point at any given time to the average reservoir pressure at that point. This allows for the use of classical material balance calculations and the development of classical material balance plots. In this study, the Dynamic Material Balance and Agrawal Type Curve techniques were used to estimate average reservoir pressures, initial hydrocarbon in place, and ultimate oil recovery for a well in the Mishrif reservoir, the main reservoir in the Buzurgan oil field. Many wells in this field experience problems such as high-pressure decline or continuous water production, necessitating ongoing evaluation. While the Dynamic Material Balance method focuses on boundary-dominated flow data, the Agrawal-type curve technique analyzes data from both transient and boundary flow periods. Agarwal decline curves were constructed using relationships of pseudo pressure normalized production, material balance pseudo time, and dimensionless variables in well-test analysis. The results from both methods showed comparable results with an absolute percentage error of (0.738) %, (3.07) %, and 5.7% for oil-in-place, drainage area, and average reservoir pressure, respectively. This strong correlation between the Dynamic Material Balance and Type Curve results indicates their accuracy and reliability.

A Multi-Method Approach to Assess the Adoption of Precision Agriculture Technology in Brazil

Precision Agriculture (PA) application aims to increase crop productivity while minimizing environmental impacts. We analyzed the topics most studied in the advancement of crop production in Brazil by applying the concepts of PA using the systematic literature review (SLR). A multi-method approach combined an SLR applying the PRISMA method and secondary data analysis. We found five clusters of technologies using the PA concept related to hardware development and four clusters related to applying technologies to software development in the PA concept. Most topics focused on using sensors to control water (soil and environment), soil electrical conductivity, and data communication. The focus on sustainability led researchers to reduce chemical products related to fertilizers and pesticides using Variable Rate Fertilizers (VRT) and reducing the environmental loading. According to the research results, it was evident that PA technology might help farmers make more accurate decisions about cultivation, production, harvest, and soil management. The availability of decision support systems powered by big data and artificial intelligence to select the best crop for a given season and soil might assist Brazil's sustainable growth of food production.

Region‐selective shift register by a single output enable signal for a multiple refresh frequency driving scheme

AbstractMany low‐power technologies have been developed for high‐performance displays. One method is to vary the refresh rate according to the input image, where frequencies are reduced over still images and slow‐moving videos. To support the variable refresh rate scheme, the programmable gate driver circuit should be integrated. This paper proposes a thin‐film transistor (TFT) shift register of which output pulse is simply controlled by an enable signal. Because the output pulse generation is directly adjusted without the previous programming period, various output pulse sequences are possible with the high flexibility. The shift register is composed by adding six TFTs and one capacitor to a conventional circuit that provides a carry pulse to a next stage. The simulation program with integrated circuit emphasis (SPICE) simulation ensures that gate pulses for any numbers of lines in any regions can be generated within one frame only by applying the enable signal at the corresponding timing, resulting in multiple refresh frequencies in a screen. In addition, it is verified that additional TFTs and capacitor contribute to only the negligible increase in power consumption by 2.1%, compared to a conventional shift register.

Wooden Interiors Improve Heart Rate Variability-Derived Psychophysiological Well-Being: An Acute Cross-Over Study

Mental health is a significant public concern. Given that individuals spend extended periods indoors, understanding the psychophysiological health effects of indoor materials on well-being is crucial. This study compared the effects of wooden and resin plaster rooms on psychophysiological well-being. Well-being was assessed using heart rate variability measurements and an affective well-being questionnaire. Subjective perceptions were also evaluated using a semantic differential questionnaire. The results indicated higher heart rate variability in the wooden room compared to the reference room. Participants breathed about one breath per minute more slowly in the wooden room, with a negative correlation between heart rate variability and respiratory rate. Positive affect was elevated, and negative affect was reduced in the wooden room, which was also perceived more favorably in sensory evaluations. The findings suggest that wooden interiors are preferred over artificial materials, enhancing both physiological and psychological well-being.

Using froude and weber numbers to represent the changes in the flow pattern from stratified to stratified-wavy or plug for wire-on-tube condenser

According to manufacturing data, a theoretical study of condensation inside a heat exchanger with wires on tubes.examined flow patterns with variable refrigerant mass flow rates. Wire-on-tube condensers are adopted with tubes, which have multiple diameters (3.25, 4.83 and 6.29 mm). In addition to the use of two refrigerants (R-134a, R-600a) working at condensing temperatures of (54.4, 45, and 35 °C). The Equal Equation Solver software (EES) was used to obtain the results for the mass velocity range from 8 to 167 kg s−1m−2. Using the non-dimensionless numbers, the model determines the refrigerant flow pattern. Weber number (We) and Froude number (Fr) were used for mass velocity in a range below 100 kg s−1 m−2, which is recommended flow inside the wire-on-tube condenser. The initial transition of the two-phase flow pattern from stratified to stratified-wavy occurred at beginning of condensation for the quality range (0.78-0.42) was Fr (2.7-2.0) and We (6.1-4.0) for R-134a, while the quality range (0.85-0.39) was Fr (5.0-2.4) and We (7.0-4) for R-600a. Second, as the quality range approached, the stratified-wavy flow was replaced by a plug at quality (0.23-0.06) were Fr (1.5-0.4) and We (3.8-2.1) for R-134a and for R-600a the quality range (0.22-0.05) were Fr (1.7-0.55) and We (3.7-2.2).

Comparison of Reporting Quality in National Cystic Fibrosis Patient Registries: Implications for Identifying Use of Novel CFTR Modulators.

Advances in development of cystic fibrosis transmembrane conductance regulator modulator (CFTRm) therapies mean that now people who are heterozygous (instead of having to be homozygous) for the common F508del variant can benefit from these therapies. Recent economic estimates suggest only approximately 15% of the global population have CFTRm access, yet it is unknown how prevalence of F508del and economic factors may affect this availability. Data related to prevalence of cystic fibrosis (CF), CFTRm usage, and prevalence of F508del in 10 countries were extracted from publicly accessible registry reports from 2021. National gross domestic product (GDP) was obtained via open access World Bank data. Descriptive statistics and correlation coefficients assessed relationships. Notable discrepancies were noted in the equity of availability of data between national registries-only four countries reported number of patients eligible for CFTRm. Registry data represented 70,694 patients, with 42,858 found to be using CFTRm (60.6%). Prevalence of CFTRm usage ranged from 1.8% to 76.7% and prevalence of F508del ranged from 35.2% to 94.4%. The correlation between prevalence of CFTRm usage and F508del is positive (r = 0.56, p = 0.10), and the correlation between CFTRm usage and GDP (per capita) was also positive, and significant (r = 0.72, p = 0.02). Both F508del prevalence and GDP are associated with variable CFTRm usage rates, although a predominant reason is unclear as a result of poor consistency in registry reporting. Urgent action is needed to create uniform reporting of registry data and increase availability of novel CFTRm therapies to the global CF population.

Relevance of NDVI, soil apparent electrical conductivity and topography for variable rate irrigation zoning in an olive grove

Relevance of NDVI, soil apparent electrical conductivity and topography for variable rate irrigation zoning in an olive grove

Validation of a Textile-Based Wearable Measuring Electrocardiogram and Breathing Frequency for Sleep Apnea Monitoring

Sleep apnea (SA) is a prevalent disorder characterized by recurrent events of nocturnal apnea. Polysomnography (PSG) represents the gold standard for SA diagnosis. This laboratory-based procedure is complex and costly, and less cumbersome wearable devices have been proposed for SA detection and monitoring. A novel textile multi-sensor monitoring belt recording electrocardiogram (ECG) and breathing frequency (BF) measured by thorax excursion was developed and tested in a sleep laboratory for validation purposes. The aim of the current study was to evaluate the diagnostic performance of ECG-derived heart rate variability and BF-derived breathing rate variability and their combination for the detection of sleep apnea in a population of patients with a suspicion of SA. Fifty-one patients with a suspicion of SA were recruited in the sleep laboratory of the Cantonal Hospital St. Gallen. Patients were equipped with the monitoring belt and underwent a single overnight laboratory-based PSG. In addition, some patients further tested the monitoring belt at home. The ECG and BF signals from the belt were compared to PSG signals using the Bland-Altman methodology. Heart rate and breathing rate variability analyses were performed. Features derived from these analyses were used to build a support vector machine (SVM) classifier for the prediction of SA severity. Model performance was assessed using receiver operating characteristics (ROC) curves. Patients included 35 males and 16 females with a median age of 49 years (range: 21 to 65) and a median apnea-hypopnea index (AHI) of 33 (IQR: 16 to 58). Belt-derived data provided ECG and BF signals with a low bias and in good agreement with PSG-derived signals. The combined ECG and BF signals improved the classification accuracy for SA (area under the ROC curve: 0.98; sensitivity and specificity greater than 90%) compared to single parameter classification based on either ECG or BF alone. This novel wearable device combining ECG and BF provided accurate signals in good agreement with the gold standard PSG. Due to its unobtrusive nature, it is potentially interesting for multi-night assessments and home-based patient follow-up.

The Validity of Apple Watch Series 9 and Ultra 2 for Serial Measurements of Heart Rate Variability and Resting Heart Rate.

The widespread use of wearable devices has enabled continuous monitoring of biometric data, including heart rate variability (HRV) and resting heart rate (RHR). However, the validity of these measurements, particularly from consumer devices like Apple Watch, remains underexplored. This study aimed to validate HRV measurements obtained from Apple Watch Series 9 and Ultra 2 against the Polar H10 chest strap paired with the Kubios HRV software, which together served as the reference standard. A prospective cohort of 39 healthy adults provided 316 HRV measurements over a 14-day period. Generalized Estimating Equations were used to assess the difference in HRV between devices, accounting for repeated measures. Apple Watch tended to underestimate HRV by an average of 8.31 ms compared to the Polar H10 (p = 0.025), with a mean absolute percentage error (MAPE) of 28.88% and a mean absolute error (MAE) of 20.46 ms. The study found no significant impact of RHR discrepancies on HRV differences (p = 0.156), with RHR showing a mean difference of -0.08 bpm, an MAPE of 5.91%, and an MAE of 3.73 bpm. Equivalence testing indicated that the HRV measurements from Apple Watch did not fall within the pre-specified equivalence margin of ±10 ms. Despite accurate RHR measurements, these findings underscore the need for improved HRV algorithms in consumer wearables and caution in interpreting HRV data for clinical or performance monitoring.

Exploration of Time-Fractional Cancer Tumor Models with Variable Cell Killing Rates via Hybrid Algorithm

Abstract Cancer is marked by abnormal cell growth that invades healthy tissues, potentially spreading throughout the body through the bloodstream or lymphatic system. It arises when body cells show irregularities in the genes that control cell growth. To treat and minimize the growth of these abnormal cells, different models have been proposed to predict and analyze cancer-tumor. The current study contains analysis of fractional cancer-tumor with different uncertain conditions. To include the uncertainties in the model, Pentagonal fuzzy numbers (PFNs) approach is utilized. A hybrid mechanism, combining homotopies with perturbation technique and a generalized integral transform, is proposed to efficiently handle fractional derivatives with fuzzified conditions. The validity of obtained solutions is checked by calculating residual errors. Graphical analysis assesses the impact of important parameters on the solution profiles, and confirms the reliability of the proposed methodology for complex fractional tumor models and other intricate physical phenomena.