{"title":"Mathematical Probe of Nanoparticle Aggregation in Capillary-Tissue System Applying Fractal Model.","authors":"Bhawini Prasad","doi":"10.1615/CritRevBiomedEng.2024055532","DOIUrl":"10.1615/CritRevBiomedEng.2024055532","url":null,"abstract":"<p><p>Targeted drug delivery using nanoparticle-based technology represents an advance in tumor treatment aiming to improve drug retention in tumors and minimize side effects. This study explores nanoparticle aggregation as a mechanism of enhanced retention and controlled dispersion of therapeutic agents in tumor tissues. Unlike existing models that primarily focus on single-particle diffusion, this research investigates the aggregation dynamics of nanoparticles upon diffusion from capillaries into the surrounding tissue, using a fractal-based mathematical model. By incorporating fractal geometry, this model uniquely captures the complexity of nanoparticle interactions with heterogeneous tumor environments. The equations, solved using MATLAB, reveal that nanoparticles form aggregates of approximately 75 nm in the capillary, with an optimal fractal dimension of 2.8 promoting efficient aggregation and retention. These findings provide a new perspective on aggregation-controlled drug delivery systems, offering insights for enhancing nanoparticle bioavailability and therapeutic efficacy in tumors.</p>","PeriodicalId":94308,"journal":{"name":"Critical reviews in biomedical engineering","volume":"53 5","pages":"1-22"},"PeriodicalIF":0.0,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144786341","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
B P Pradeep Kumar, E Naresh, A Ashwitha, Kadiri Thirupal Reddy, N N Srinidhi
{"title":"The Burn Grafting Image Reclamation Redefined with the Peak-Valley Approach.","authors":"B P Pradeep Kumar, E Naresh, A Ashwitha, Kadiri Thirupal Reddy, N N Srinidhi","doi":"10.1615/CritRevBiomedEng.v53.i2.40","DOIUrl":"https://doi.org/10.1615/CritRevBiomedEng.v53.i2.40","url":null,"abstract":"<p><p>Burn injuries constitute a significant public health challenge, often necessitating the expertise of medical professionals for diagnosis. However, in scenarios where specialized facilities are unavailable, the utility of automated burn assessment tools becomes evident. Factors such as burn area, depth, and location play a pivotal role in determining burn severity. In this study, we present a classification model for burn diagnosis, leveraging automated machine learning techniques. Our approach includes an image reclamation system that incorporates the peak and valley algorithm, ensuring the removal of noise while consistently delivering high-quality results. By using skewness and kurtosis, we demonstrate substantial improvements in diagnostic accuracy. Our proposed system sources key features from enhanced grafting samples using peak valley transformation, enabling the computation of BQs and a unique bin analysis to enhance image reclamation. Our experimental results highlight efficiency gains, notably growing the matching features of graft samples for 14 matching images. The intended work involves the creation of a burn classification reclamation model. The proposed approach utilizes a support vector machine (SVM). The evaluation of the model will be conducted using an untrained catalogue, with a specific focus on its effectiveness in reclaiming images that necessitate grafts and distinguishing them from those that do not. Our approach holds promise in grafting sample reclamation in emergency settings, thereby expediting more accurate diagnoses and treatments for acute burn injuries. This work has the latent to save lives and improve patient upshots in burn traumas.</p>","PeriodicalId":94308,"journal":{"name":"Critical reviews in biomedical engineering","volume":"53 2","pages":"21-35"},"PeriodicalIF":0.0,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144762942","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Garima Agarwal, Man Mohan Singh, Rashid Jan, Sunil Dutt Purohit
{"title":"Nonlinear Dynamics and Stability Analysis of a Pandemic Model Using Homotopy Perturbation.","authors":"Garima Agarwal, Man Mohan Singh, Rashid Jan, Sunil Dutt Purohit","doi":"10.1615/CritRevBiomedEng.2025055055","DOIUrl":"10.1615/CritRevBiomedEng.2025055055","url":null,"abstract":"<p><p>In this paper, we gave the numerical solution of the various population categories of susceptible, exposed, infected, and recovered (SEIR) mathematical models by using homotopy perturbation method, which is a technique that combines the perturbation and homotopy methods to solve nonlinear problems. Also, we discuss the susceptible population category and explore the graphical solution of all populations (SEIR) using the parameters α and β for both fractional and integer order. In the end, the stability analysis is also shown in the population graphs.</p>","PeriodicalId":94308,"journal":{"name":"Critical reviews in biomedical engineering","volume":"53 3","pages":"13-21"},"PeriodicalIF":0.0,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144765943","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A New Approach to Population Growth Model Involving a Logistic Differential Equation of Fractional Order.","authors":"Deepika Jain, Alok Bhargava, Sumit Gupta","doi":"10.1615/CritRevBiomedEng.2024055114","DOIUrl":"10.1615/CritRevBiomedEng.2024055114","url":null,"abstract":"<p><p>Population growth and its consequences remain one of the most pressing challenges of our time. The study of population dynamics, including factors like resource availability, disease, and environmental constraints, is fundamental for planning in various domains such as ecology, economics, and public health. One of the earliest models proposed to explain population growth was by Thomas Robert Malthus in the late 18th century. Malthus theorized that populations grow exponentially, while the food supply increases only in an arithmetic manner and that was explained by a mathematical model i.e. the population growth model. This imbalance, according to Malthus, could eventually lead to resource scarcity and population collapse. However, Malthus's model, though foundational, was simplistic in nature. Over time, a more refined and realistic model was developed by Pierre François Verhulst, a Belgian mathematician, which led to the formulation of the logistic growth model. This model involves a fractional differential equation (FDE) namely the logistic differential equation. Due to the significance of FDEs, several authors have proposed solutions for the model using different techniques. Our work finds this model's solution using the Laplace decomposition method (LDM) approach. The method represents a significant advancement in the tool case of applied mathematicians and scientists. Its ability to efficiently and accurately solve complex differential equations, especially FPDEs. The graphical interpretation of the behavior of the result is also mentioned and compare our results with exact solutions found in literature.</p>","PeriodicalId":94308,"journal":{"name":"Critical reviews in biomedical engineering","volume":"53 2","pages":"37-48"},"PeriodicalIF":0.0,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144762938","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Review on Accelerated Magnetic Resonance Imaging Techniques: Parallel Imaging, Compressed Sensing, and Machine Learning.","authors":"Mitra Tavakkoli, Michael D Noseworthy","doi":"10.1615/CritRevBiomedEng.2024056909","DOIUrl":"https://doi.org/10.1615/CritRevBiomedEng.2024056909","url":null,"abstract":"<p><p>A concise overview of three major advancements in fast magnetic resonance imagine (MRI) reconstruction techniques is presented, focusing on their roles in enhancing image quality and reducing acquisition times. The first set of methods, parallel imaging techniques, includes sensitivity encoding (SENSE) and generalized autocalibrating partially parallel acquisitions (GRAPPA). SENSE utilizes spatial sensitivity information from multiple receiver coils to accelerate image acquisition by undersampling k-space data and reconstructing images using coil sensitivity profiles, allowing for faster scans. GRAPPA, another parallel imaging method, uses estimated weights from a calibration scan to fill in missing data in undersampled k-space and then reconstructs unaliased images. Additionally, this review explores sparse reconstruction techniques such as compressed sensing, which leverages the sparsity of images in a transformed domain to reconstruct high quality images from significantly fewer measurements, thus reducing scan times. The latest developments in machine learning applications for MRI acquisition are also discussed, highlighting how advanced algorithms are being used to improve image reconstruction, enhance diagnostic accuracy, and simplify workflow processes.</p>","PeriodicalId":94308,"journal":{"name":"Critical reviews in biomedical engineering","volume":"53 5","pages":"71-85"},"PeriodicalIF":0.0,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144786338","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
G Shankar, Dharmendra Tripathi, P Deepalakshmi, O Anwar Bég, Sireetorn Kuharat, E P Siva
{"title":"A Review on Blood Flow Simulation in Stenotically Diseased Arteries.","authors":"G Shankar, Dharmendra Tripathi, P Deepalakshmi, O Anwar Bég, Sireetorn Kuharat, E P Siva","doi":"10.1615/CritRevBiomedEng.2025055069","DOIUrl":"https://doi.org/10.1615/CritRevBiomedEng.2025055069","url":null,"abstract":"<p><p>Heart diseases which can lead to stroke and heart attacks, affect numerous individuals worldwide due to disruptions in blood flow within the body. A common underlying cause for such hemodynamic disorders is a constriction in the artery, which is known as a stenosis, which is attributable to a range of causes including atherosclerosis or plaque accumulation. Many theoretical and computational studies have been presented in this area providing a useful compliment to experimental (clinical) studies. These studies have benefited clinical practice by providing insights into complex fluid dynamics associated with cardiovascular disease and identifying robust methodologies for mitigating such diseases. This review therefore aims to provide an overview of recent mathematical and numerical modelling advancements in understanding blood flow in stenosed arteries which have served to expand the current understanding of disease onset and mitigation for patients. Many diverse aspects of stenotic hemodynamics have been addressed in a large body of literature under various assumptions, such as different fluid material models, artery channel characteristics and diverse analytical and numerical solution techniques. These studies have also considered a variety of multi-physical effects including heat transfer, mass diffusion, nanoparticle effects in actual clinical treatments. In this review, over 100 recent articles from reputable journals are appraised. The primary objectives of this review paper are to emphasize the methodologies used for modelling, numerical simulation, and robust evaluation of hemodynamic characteristics in arterial blood flow which provide a more sophisticated insight into hemodynamics associated with diseases and possible mitigation strategies. The tabular format outlines different aspects of geometries and blood behavior (fluids) examined in the period 2015-2025. This organized presentation and crystallization of key contributions in a single article will also serve as a valuable resource for multi-disciplinary researchers including mathematicians, bioengineers, computer scientists in addition to medical researchers. Future pathways are also outlined.</p>","PeriodicalId":94308,"journal":{"name":"Critical reviews in biomedical engineering","volume":"53 5","pages":"49-69"},"PeriodicalIF":0.0,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144786339","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Sujit Tripathy, Vishwajeet Mukherjee, Pranaba K Mishro
{"title":"Microwave Imaging Systems for Tumor Detection: A Comprehensive Review of Antenna Designs and Imaging Algorithms.","authors":"Sujit Tripathy, Vishwajeet Mukherjee, Pranaba K Mishro","doi":"10.1615/CritRevBiomedEng.2024055777","DOIUrl":"10.1615/CritRevBiomedEng.2024055777","url":null,"abstract":"<p><p>In the past decade, microwave imaging (MWI), employing advanced antenna-based systems, has emerged as a cutting-edge, non-invasive approach for pathological diagnosis. Multiple experimental studies suggest that MWI proposes promising results for early-stage tumor diagnosis. Recent studies on MWI show the importance of antenna types and configuration. However, it is observed that a very limited research has focused on exploring the large classes of antennas used in detail. In this review, a systematic study and firsthand classification of the antennas used, as the most important aspect of an MWI system, is proposed. The classification includes fundamental antennas, microstrip antennas, metamaterial/metastructure antennas, specialized antennas, and 3D antennas. A cross-sectional study is performed to depict the potential relationship between antenna type and efficiency of the MWI systems. This goal is achieved by quantitatively analyzing the gain and operating bandwidth, antenna configuration, and application models. Further, a critical analysis is presented on different signal processing and imaging algorithms for synthetic image generation. This review presents a modular analysis of MWI systems and draws several conclusions on the effectiveness of each essential module for a reliable MWI system. It also addresses the challenges, scope of improvement in the MWI systems, and prospects for the technology's integration into clinical practice.</p>","PeriodicalId":94308,"journal":{"name":"Critical reviews in biomedical engineering","volume":"53 4","pages":"25-53"},"PeriodicalIF":0.0,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144769522","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Diffusion Models for Oral Drug Delivery to the Colon Using Porous Materials.","authors":"Austin Evers, Symone L M Alexander","doi":"10.1615/CritRevBiomedEng.2025056706","DOIUrl":"https://doi.org/10.1615/CritRevBiomedEng.2025056706","url":null,"abstract":"<p><p>Oral administration of drugs is patient-preferred due to ease of administration, less invasive procedures, and overall simplicity. However, traditional oral administration of drugs can lead to ineffective treatment and adverse side effects due to the physiological barriers of the gastrointestinal tract. Because of this, colon-specific drug delivery vehicles synthesized from polymeric, porous materials are being designed to control drug release to the colon. Specifically, these porous matrices include hydrogels, microgels/microparticles, and nanoparticle drug delivery systems. Furthermore, these formulations have been studied on their survivability and efficacy in delivery of the drugs to the colon. This review paper is focused on diffusion models for diffusion and drug release and how the choice of matrix material determines what drug release profiles are possible. Our goal is to provide a resource for identifying, applying, and advancing models for drug diffusion to the colon to help guide experimental design of drug delivery vehicles for intestinal pathologies.</p>","PeriodicalId":94308,"journal":{"name":"Critical reviews in biomedical engineering","volume":"53 4","pages":"55-76"},"PeriodicalIF":0.0,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144769521","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}