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Article
Computer Science and Mathematics
Mathematical and Computational Biology

Gabriela Fernandes

Abstract:

Relapse in acute myeloid leukemia (AML) is frequently associated with chemoresistance, yet the molecular mechanisms driving this transition remain incompletely understood. To explore relapse-associated epigenetic remodeling, we reanalyzed publicly available Nanopore whole-genome methylation data from three AML patients with matched onset and relapse samples. We focused on CpG-poor transcription factor (TF)-associated regulatory regions, recently implicated as unconventional epigenetic hotspots in leukemia progression. Across all samples, relapse was characterized by a consistent gain in DNA methylation within CpG-poor TF regions, with all ranked loci demonstrating a positive mean Δβ shift. Heatmap visualization of the top-ranked regions revealed distinct clustering of relapse versus onset samples, supporting the presence of a coordinated epigenetic signature rather than random methylation drift. These findings suggest that relapse AML cells may acquire targeted methylation to suppress key regulatory networks involved in DNA repair, apoptosis, and growth control, thereby enabling therapeutic escape. This work highlights the potential utility of Nanopore methylation profiling as a real-time biomarker platform to detect relapse-associated epigenetic rewiring and guide precision treatment strategies.

Article
Computer Science and Mathematics
Mathematical and Computational Biology

Maxim Valentinovich Polyakov

,

Elena Ivanovna Tuchina

Abstract: Developing effective CAR-T cell therapy for solid tumours remains challenging because of biological barriers such as antigen escape and an immunosuppressive microenvironment. The aim of this study is to develop a mathematical model of the spatio-temporal dynamics of tumour processes in order to assess key factors that limit treatment efficacy. We propose a reaction–diffusion model described by a system of partial differential equations for the densities of tumour cells and CAR-T cells, the concentration of immune inhibitors, and the degree of antigen escape. The methods of investigation include stability analysis and numerical solution of the model using a finite-difference scheme. The simulation results show that antigen escape leads to the formation of a persistent core within the tumour and subsequent relapse after an initial regression. We find that the efficacy of therapy critically depends on the balance between the rate of tumour-cell killing and the rate of resistance development, and that repeated administration of CAR-T cells provides deeper and more durable suppression of tumour growth compared with a single infusion. We conclude that the proposed model is a valuable tool for analysing and optimising CAR-T therapy protocols, and that our results highlight the need for combined strategies aimed at overcoming antigen escape.
Article
Computer Science and Mathematics
Mathematical and Computational Biology

Arnav Gupta

,

Gatik Goyal

Abstract: Both hereditary and clinical risk factors influence development of T2D. Currently a rich body of research exists about the effect of the clinical factors on T2D, but less is known about how genetic factors influence the development of T2D. Therefore, we used an AI trained ML algorithm to better understand how genetic variants influence the development of T2D in the presence of high, moderate, and low risk clinical factors.We collected genetic and clinical risk factor data sets from publicly available sources. We probabilistically assigned genetic variants from our genetic dataset to the individuals in the clinical dataset to form a single dataset containing both clinical and genetic risk factors. The combined data set was then trained on XGBoost XGBClassifier. SHAP Summary plots were also generated for each risk group after model training. The model’s predictive performance (AUC scores) achieved highest accuracy with the low-risk group, while the moderate and high-risk groups performed slightly lower. According to the SHAP plots, both BMI and family history are key predictors of T2D across all risk groups. However, SNP effect sizes were more influential than other clinical risk factors, indicating that genetic contributions, while secondary, were still relevant. ROC curves assess the model’s ability to predict diabetes cases across risk groups. All models performed above the 0.7 AUC threshold, with the low risk group having an AUC score of 0.9116, the medium risk group AUC score being 0.7372, and the high risk group AUC score being 0.7366. indicating they are clinically applicable and not affected by assignment of genetic variables. While genetic treatments for diabetes remain experimental, our work supports emerging advancements in pharmacogenomics and gene-based therapies by helping to identify which patients may benefit from specific drug regimens including gene-based interventions.
Article
Computer Science and Mathematics
Mathematical and Computational Biology

Natalya Maxutova

,

Akmaral Kassymova

,

Kuanysh Kadirkulov

,

Aisulu Ismailova

,

Gulkiz Zhidekulova

,

Zhanar Azhibekova

,

Jamalbek Tussupov

,

Quvvatali Rakhimov

,

Zhanat Kenzhebayeva

Abstract: This paper proposes an intelligent and explainable ensemble system for predicting as-partate aminotransferase (AST) levels based on routine biochemical and demographic data from the NHANES dataset. The framework integrates robust preprocessing, adaptive feature encoding, and multi-level ensemble learning within a nested cross-validation (5×3) structure to ensure reproducibility and prevent data leakage. Several regression mod-els—including Random Forest, XGBoost, CatBoost, and stacking ensembles—were sys-tematically compared using R², RMSE, MAE, and MAPE metrics. The results show that the Stacking v2 architecture, combining CatBoost, LightGBM, and Ridge meta-regression, achieves the highest predictive accuracy and stability. Explainable AI analysis using SHAP revealed key biochemical and lifestyle factors influencing AST variability. The pro-posed system provides a modular, interpretable, and reproducible foundation for deci-sion-support applications in intelligent healthcare analytics, aligning with the goals of applied system innovation.
Article
Computer Science and Mathematics
Mathematical and Computational Biology

Juan Pablo Acuña González

,

Moisés Sánchez Adame

,

Oscar Montiel

Abstract: We formalize an inverse, data-conditioned variant of the Variational Quantum Eigensolver (VQE) for clinical biomarker discovery. Given patient-encoded quantum states, we construct a task-specific Hamiltonian whose coefficients are inferred from clinical associations, and interpret its expectation value as a calibrated energy score for prognosis and treatment monitoring. The method integrates principled coefficient estimation, ansatz specification with basis rotations, commuting-group measurements, and a practical shot-budget analysis. Evaluated on public infectious-disease datasets under severe class imbalance, the approach yields consistent gains in balanced accuracy and precision-recall over strong classical baselines, with stability across random seeds and feature ablations. This variational energy-scoring framework bridges Hamiltonian learning and clinical risk modeling, offering a compact, interpretable, and reproducible route to biomarker prioritization and decision support.
Article
Computer Science and Mathematics
Mathematical and Computational Biology

Joshua Kim

,

Sungwoo Yang

Abstract: Background/Objectives: Ionizable lipid nanoparticles (LNPs) are the mainstream delivery mechanisms for mRNA vaccines. However, LNPs are limited in their mRNA transfection efficiency (TE) into target cells. Dendrimersome nanoparticle (DNP) delivery systems, developed using ionizable amphiphilic Janus dendrimers (IAJDs), were designed to overcome the limitations of earlier approaches. Researchers have found this alternative promising due to their comparatively simple, repeating one-component structure and enhanced stability. This study sought to clarify the impact of particular IAJD structural components on mRNA TE and develop novel IAJD candidates for maximum predicted TE. Methods: Structural constituents (hydrophilic, ionizable amine, & hydrophobic regions) were systematically defined & encoded for computational analysis. Luciferase-induced luminescence was used as a quantitative metric for mRNA transfection. TE prediction models were built using several machine learning algorithms, and the model using eXtreme Gradient Boosting was selected. This prediction model overcame imbalanced datasets and this model was used to find the optimal IAJD designs and formulation conditions. Results: The IAJD optimization process ultimately yielded three novel optimized IAJD candidates and one of existing IAJDs, surpassing previously identified IAJDs. Conclusions: To our knowledge, this study presents the first large-scale computational investigation of IAJD structural optimization using machine learning. The design of IAJD is the primary factor that influences mRNA TE, but there are other impacting factors and more work is needed. This study highlights the potential of ML-driven IAJD optimization. Combined with high-throughput in vitro assays, this method could significantly accelerate mRNA therapeutics development with an improved delivery mechanism.
Article
Computer Science and Mathematics
Mathematical and Computational Biology

Ritwik Deshpande

,

Vishal Lakshmanan

Abstract: This research paper provides a comprehensive analysis of the impact of generative artificial intelligence on the diagnosis of Attention-Deficit/Hyperactivity Disorder (ADHD) among high school students in North- ern California between 2022 and 2025. This period is marked by two converging phenomena: the explosive, near-universal adoption of generative AI tools like ChatGPT in educational settings and a complex, evolv- ing landscape of adolescent mental health. While national ADHD diagnosis rates for adolescents have remained stable at approximately 14% [19, 20], California has consistently reported significantly lower prevalence, around 6% [18]. Northern California, as a global technology hub and a leader in educational policy, serves as a critical case study for examining the intersection of these trends. This paper synthesizes data on AI adoption rates, student usage patterns, regional educational policies, and the neuropsycholog- ical effects of AI on adolescent cognition. The analysis reveals that the primary impact of generative AI is not on the raw prevalence of ADHD but on the fundamental nature of its presentation, assessment, and diagnosis. AI tools function as a dual-edged sword, simultaneously offering compensatory support that can mask underlying executive function deficits while also potentially exacerbating ADHD symptoms or inducing ADHD-like cognitive patterns through mechanisms of attention fragmentation and dopamine sys- tem dysregulation [54,87]. This creates a profound diagnostic challenge, complicating clinical assessments and potentially leading to both under-diagnosis and misdiagnosis. The paper concludes that the rapid in- tegration of generative AI necessitates a paradigm shift in clinical and educational approaches to ADHD, requiring updated assessment protocols that account for a student’s digital cognitive ecosystem to ensure accurate and equitable diagnosis.
Concept Paper
Computer Science and Mathematics
Mathematical and Computational Biology

Akhilesh Kaushal

Abstract: Modern biomedical research generates vast, multi-modal datasets (multi-omics) from the same patient cohorts, offering an unprecedented opportunity to understand complex diseases. However, integrating these heterogeneous data views to predict clinical outcomes like patient survival presents significant statistical challenges. These challenges include data heterogeneity, high dimensionality, inherent zero-inflation due to technical dropouts or biological absence, and the need to incorporate prior biological knowledge. We propose the Bayesian Multi-view Graph Convolutional Network (BMGCN), a deep generative framework designed to address these challenges. BMGCN factorizes the data into shared and view-specific latent representations, enabling both data integration and the identification of view-specific signals. It employs graph-convolutional encoders to integrate prior biological network knowledge, a zero-inflated likelihood to accurately model sparse omics data, and a spike-and-slab prior for Bayesian view selection to identify modalities most relevant to the outcome. Finally, a semi-parametric Cox proportional hazards module allows the model to handle right-censored survival data directly. We detail the full generative model, derive the variational inference objective, and outline a comprehensive validation strategy. BMGCN provides a powerful, interpretable, and flexible framework for integrative multi-omics analysis.
Article
Computer Science and Mathematics
Mathematical and Computational Biology

Ragavan Murugasan

,

Veeramani Chinnadurai

Abstract:

In this research article , we propose a fuzzy fractional-order SEI\( R_iU_i \)HR model to describe the transmission dynamics of COVID-19, comprising susceptible, exposed, infected, reported, unreported, hospitalized, and recovered compartments. The uncertainty in initial conditions is represented using fuzzy numbers, and the fuzzy Laplace transform combined with the Adomian decomposition method is employed to solve the non-linear differential equations and also to derive approximate analytical series of solutions. In addition to fuzzy lower and upper bound solutions, is introduced to provide a representative trajectory under uncertainty. Numerical experiments are conducted to compare fuzzy and normal (non-fuzzy) solutions, supported by 3D visualizations. The results reveal the influence of fractional order and fuzzy parameters on epidemic progression, demonstrating the model’s capability to capture realistic variability and to provide a flexible framework for analyzing infectious disease dynamics.

Article
Computer Science and Mathematics
Mathematical and Computational Biology

Jianfeng Yao

,

Mengmeng Yang

,

Zhuofan Li

,

Denglong Ha

,

Wenqiang Gao

,

Xiao He

,

Xuefan Hu

,

Xinyu Song

Abstract: To improve the accuracy of tree age estimation by accounting for variations in radial growth, this study developed a diameter-age model that incorporates radial growth rate for seven typical tree species across subtropical to cold temperate regions. For each tree species, six trees were selected, including 2 dominant trees, 2 intermediate trees, and 2 suppressed trees. A total of 646 disks were collected at 1-meter intervals along the stems, starting at 0.3 m height. Disks diameters and tree-rings were measured, and the radial growth rate of each disk over the past two years was calculated. For each tree species, 2/3 of the data were randomly selected as the modeling dataset, while the remaining 1/3 served as the testing dataset. Based on scatter plots, select linear models, logarithmic models, and exponential models as candidate models. A logarithmic function best described the diameter-age relationship, while an exponential model best fit the radial growth rate -age relationship. A dual-factor nonlinear model combining both variables achieved the highest estimation accuracy (77.95%), significantly outperforming single-factor models based solely on diameter (52.72%) or growth rate (70.78%). These results demonstrate that integrating radial growth rate substantially enhances the precision of tree age estimation.
Article
Computer Science and Mathematics
Mathematical and Computational Biology

Meriem Bouzari

,

Latifa Ait Mahiout

,

Anastasia Mozokhina

,

Vitaly Volpert

Abstract: We develop and analyze a reaction-diffusion model describing the early spatial dynamics of viral infection in tissue, incorporating key components of the innate immune system: inflammatory cytokines and circulating macrophages. The system couples three spatial partial differential equations (for uninfected cells, infected cells, and virus particles) with two ordinary differential equations (for cytokines and activated macrophages), and includes time delays related to intracellular viral replication. In the absence of macrophage degradation, we derive analytical expressions for the total viral load and the wave speed, and identify explicit immune control thresholds in terms of the virus replication number and the strength of the immune response. In the presence of macrophage degradation, simulations reveal that increasing macrophage turnover accelerates wave propagation and increases viral burden. These results highlight the critical role of innate immune feedback, modulated by effector degradation, in shaping the spatial outcome of infection. Depending on the values of viral replication number and the strength of the immune response, infection can be immediately suppressed, or it can propagate with gradual extinction due to the time-dependent immune response, or it can persistently propagate in the tissue in the form of a reaction-diffusion wave.
Article
Computer Science and Mathematics
Mathematical and Computational Biology

Freddy Patricio Moncayo-Matute

,

R. Claramunt

,

Alvaro Guzman-Bautista

,

Paúl Bolívar Torres-Jara

,

Enrique Chacón-Tanarro

Abstract: Background/Objectives: Screw loosening and vertebral fractures remain common after vertebral body tethering (VBT). Because tightening torque sets screw preload, its biomechanical effect warrants explicit modeling. In this paper, a Finite Element (FE) model, supported by ex-vivo porcine vertebrae tests, was developed and validated that incorporates torque-induced pre-tension to quantify vertebral stress, aiming toward customizable VBT planning. Methods: An FE model with pre-tension and axial extraction failure was parameterized using ex vivo tests on five porcine vertebrae. A laterally inserted surgical screw in each specimen was tightened to 5.9±0.80 [N·m]. Axial extraction produced failure loads of 2.1±0.31 [kN]. This is also considered in the FE model to validate the failure scenario. Results: Torque alone generated peak von Mises stresses of 16.1 [MPa] (cortical) and 2.1 [MPa] (trabecular), lower than prior reports. With added axial load, peaks rose to 141.1 [MPa] and 19.7 [MPa], exceeding typical ranges. However, predicted failure agreed with experiments, showing 0.58 [mm] displacement and a conical displacement distribution around the washer. Conclusions: Modeling torque-induced pre-tension is essential to reproduce realistic stress states and anchor failure in VBT. The framework enables patient-specific assessment (bone geometry/density) to recommend safe tightening torques, potentially reducing screw loosening and early fractures.
Article
Computer Science and Mathematics
Mathematical and Computational Biology

Ilyes Abdelhamid

,

Yuchi Liu

,

Armel Lefebvre

,

Ziheng Liao

,

Aldo Acevedo

,

Carlo Vittorio Cannistraci

Abstract: Pathway enrichment analysis (PEA) is fundamental for interpreting omics signatures. Standard PEA practice reduces results to tabular significance lists, where complex systems‑biology insights reside undisclosed. Here, we present Hyperpathway, an open-access network-based visualization webtool for PEA’s results interpretation. Given a table of statistically significant pathways and enriched molecules, Hyperpathway transforms this tabular information into a pathway–molecule bipartite network. Then it embeds the network into a two-dimensional hyperbolic disk, providing a holistic geometric representation of the nodes hierarchical organization along the radial coordinates, and the nodes similarity patterns along the angular coordinates. On genomic, metabolomic, and lipidomic datasets, Hyperpathway allows a deeper understanding of the interplay between pathways and their molecular components, facilitating the visualization and identification of latent functional systems biology modules not readable in conventional PEA tabular outputs. By bridging statistical enrichment analysis with network geometry, Hyperpathway advances pathway analysis from a list-based to a systems-level visualization paradigm.
Review
Computer Science and Mathematics
Mathematical and Computational Biology

Fatemeh Safari

,

Jai J Tree

,

Fatemeh Vafaee

Abstract: Machine learning is a powerful approach for analysing RNA sequences, particularly for understanding the function and regulation of non-coding RNAs. A critical step in this process is feature extraction, which transforms biological sequences into numerical representations that allow computational models to capture and interpret complex biological patterns. Despite its central role, the field of RNA feature extraction remains broad and fragmented, with limited standardization and accessibility hindering consistent application. In this comprehensive review, we address the fragmentation of the field by systematically organizing over 25 feature extraction strategies into sequence- and structure-based approaches. We further conduct a comparative analysis highlighting how the choice of feature sets impacts model performance, reinforcing the importance of integrated feature engineering. To facilitate practical adoption, it also provides a curated list of publicly available tools and software packages. By consolidating methodologies and resources, this work seeks to improve reproducibility, scalability, and interpretability in machine learning-driven RNA research.
Article
Computer Science and Mathematics
Mathematical and Computational Biology

Amar Nath Chatterjee

,

Santosh Kumar Sharma

,

Fahad Al Basir

,

Aeshah A. Raezah

Abstract: H1N1 influenza, also known as swine flu, is a subtype of the influenza A virus that can infect humans, pigs, and birds. Sensitivity analysis and optimal control studies play a crucial role in understanding the dynamics of infectious diseases like H1N1 influenza. This study employs a mathematical model incorporating both symptomatic and asymptomatic infections, and vaccination to assess the impact of key parameters on disease transmission. Also, we have assumed a density dependent infection transmission in the model. Basic reproduction number is determined and stability of the equilibria are studied. We determine the basic reproduction number using next generation matrix method and found that the disease-free equilibrium is stable when the basic reproduction number, R0<1 and endemic equilibrium exists when R0>1. By performing sensitivity analysis, the most influential factors affecting infection spread are identified, aiding in targeted intervention strategies. Optimal control techniques are then applied to determine the best approaches to minimize infections while considering resource constraints. The findings provide valuable insights for public health policies, offering effective strategies for mitigating H1N1 outbreaks and enhancing disease management efforts.
Article
Computer Science and Mathematics
Mathematical and Computational Biology

Thomas Junier

Abstract: We present termal, a fast, interactive terminal-based viewer for multiple se- quence alignments (MSAs), designed for use on remote systems such as high-performance computing (HPC) clusters. Unlike traditional graphical viewers, termal runs entirely within a terminal and offers features such as scrolling, zooming, consensus/conservation visualization, and customizable colour schemes. It is implemented in Rust, ensuring high performance and minimal dependencies.
Article
Computer Science and Mathematics
Mathematical and Computational Biology

José Alberto Rodrigues

Abstract: Tumor growth is driven not only by genetic mutations but also by ecological interactions among heterogeneous cell populations within the tumor microenvironment. In this study, we apply evolutionary game theory (EGT) to model competition between glycolytic (G) and oxidative (O) tumor cells under distinct environmental scenarios. Using a payoff matrix to encode fitness interactions, we implement replicator dynamics to simulate changes in cell population fractions over time. Three numerical scenarios are considered: a baseline balanced competition, an acidic microenvironment, and a pH-buffered therapeutic intervention. Our simulations reveal that environmental acidity strongly favors glycolytic dominance, consistent with aggressive tumor phenotypes, while pH-buffered interventions can restore oxidative prevalence, potentially enhancing susceptibility to conventional therapies. These results provide mechanistic insight into how microenvironmental conditions shape tumor composition and highlight the potential of evolutionary-informed strategies—such as adaptive and ecological therapies—to steer tumor evolution toward less aggressive states. Overall, this work demonstrates the utility of EGT as a quantitative framework for understanding tumor heterogeneity and guiding personalized treatment planning.
Article
Computer Science and Mathematics
Mathematical and Computational Biology

Animesh Sinha

,

Jahangir Chowdhury

,

Aeshah A. Raezah

,

Fahad Al Basir

Abstract: In this article, we propose and analyse a deterministic mathematical model that captures the dynamic interactions between crop biomass and pest populations under the influence of a biological control strategy, namely the sterile insect technique (SIT). The purpose of this study is to analyze the effectiveness of SIT as a biological pest control method and to understand how pest suppression influences the preservation and productivity of crops over time. The model incorporates four interacting biological populations, namely the crop biomass, female pests, male pests, and sterile male pests. Dynamics of the system is analysed analytically and numerically. We determine the equilibrium points and their local and global stability. Stability change is found through Hopf bifurcation periodic solutions. It can be concluded from this study that this modeling framework with optimal control strategy is highly useful in the context of sustainable agriculture that can reduce crop pests in cost-effective manner.
Article
Computer Science and Mathematics
Mathematical and Computational Biology

Louis Shuo Wang

,

Jiguang Yu

,

Shijia Li

,

Zonghao Liu

Abstract: Mathematical modeling is indispensable in oncology for unraveling the complex interplay between tumor growth, vascular remodeling, and therapeutic resistance. Here, we address the critical need for integrative frameworks capturing bidirectional feedback between hypoxia-driven angiogenesis and stochastic resistance evolution, an aspect often treated in isolation by previous continuum or agent-based models. We develop a novel hybrid partial differential equation–agent-based model (PDE-ABM) formulation unifying reaction-diffusion equations for oxygen, drug, and tumor angiogenic factor (TAF) with Gillespie-driven stochastic phenotype switching and discrete vessel-agent dynamics. Our work fills a methodological gap by providing the first rigorous well-posedness proof for this class of coupled systems, alongside detailed numerical analysis of discretization schemes and derivation of analytically tractable mean-field PDE limits via moment-closure techniques. The mean-field limit unifies the hybrid system into one PDE system, linking stochastic microdynamics with deterministic macrodynamics. By combining mathematical rigor with biologically interpretable outputs, our framework establishes a foundation for predictive multiscale oncology models and enables future data-driven therapeutic design.
Article
Computer Science and Mathematics
Mathematical and Computational Biology

Shuo Wang

,

Rong Liu

,

Li Zhang

Abstract: Current fractional flow reserve computed tomography (FFRCT) methods rely on static imaging and standardized boundary conditions, potentially missing critical hemodynamic variations during the cardiac cycle. This study aimed to develop and validate a computational framework for dynamic FFRCT calculation using 4D-CTA data. We implemented an automated pipeline integrating 4D-CTA image processing, patient-specific geometric modeling, and computational fluid dynamics. Dynamic boundary conditions were derived from temporal flow measurements extracted from 4D-CTA data throughout the cardiac cycle. The methodology was validated through proof-of-concept studies on clinical datasets. Results demonstrated successful implementation of the automated 4D-CTA to CFD workflow with computational efficiency suitable for clinical applications. The framework effectively captured temporal hemodynamic variations and successfully computed dynamic FFR values throughout the cardiac cycle. Patient-specific boundary conditions based on actual flow measurements were successfully integrated, potentially addressing inter-patient variability limitations of standardized approaches. This study establishes the technical feasibility of dynamic FFRCT computation using 4D-CTA data. The developed framework may contribute to more physiologically relevant non-invasive coronary stenosis assessment, though further validation studies are needed to evaluate clinical utility and diagnostic accuracy.

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