Mathematical Biosciences

Papers
(The median citation count of Mathematical Biosciences is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-11-01 to 2025-11-01.)
ArticleCitations
Analyzing the use of non-pharmaceutical personal protective measures through self-interest and social optimum for the control of an emerging disease38
Turing patterns in a morphogenetic model with single regulatory function34
Influence of telomerase activity and initial distribution on human follicular aging: Moving from a discrete to a continuum model26
Effect of homophily on coupled behavior-disease dynamics near a tipping point24
Editorial Board19
Processes governing species richness in communities exposed to temporal environmental stochasticity: A review and synthesis of modelling approaches19
Imperfect vaccine can yield multiple Nash equilibria in vaccination games19
Investigating the eco-evolutionary tunnels for establishing cooperative communities19
A new method for the estimation of stochastic epidemic descriptors reinforced by Kalman-based dynamic parameter estimation. Application to mpox data18
Interplay of virulence factors shapes ecology and treatment outcomes in polymicrobial infections17
Mycoloop: Modeling phytoplankton–chytrid–zooplankton interactions in aquatic food webs17
Controlling smoking: A smoking epidemic model with different smoking degrees in deterministic and stochastic environments16
Effect of cross-immunity in a two-strain cholera model with aquatic component15
Editorial Board15
Measuring tree balance using symmetry nodes — A new balance index and its extremal properties15
Testing-isolation interventions will likely be insufficient to contain future novel disease outbreaks14
A joint-threshold Filippov model describing the effect of intermittent androgen-deprivation therapy in controlling prostate cancer13
Minimising the use of costly control measures in an epidemic elimination strategy: A simple mathematical model12
Characterizing symmetry transitions in systems with dynamic morphology12
Fractional modelling of COVID-19 transmission incorporating asymptomatic and super-spreader individuals12
Editorial Board12
Overcoming the impossibility of age-balanced harvest12
Editorial Board12
Sequential allocation of vaccine to control an infectious disease12
Machine learning provides insight into models of heterogeneous electrical activity in human beta-cells12
Metabolic blood flow regulation in a hybrid model of the human retinal microcirculation12
Learning transmission dynamics modelling of COVID-19 using comomodels11
Predicting resistance and pseudoprogression: are minimalistic immunoediting mathematical models capable of forecasting checkpoint inhibitor treatment outcomes in lung cancer?11
A simple model of coupled individual behavior and its impact on epidemic dynamics11
Nucleation feedback can drive establishment and maintenance of biased microtubule polarity in neurites11
We are all different: Modeling key individual differences in physiological systems11
Variation in environmental stochasticity dramatically affects viability and extinction time in a predator–prey system with high prey group cohesion11
Dynamics of COVID-19 based on spontaneous individual behaviors of vaccination11
A stochastic programming approach to the antibiotics time machine problem11
Exploring trade-offs in drug administration for cancer treatment: A multi-criteria optimisation approach10
Optimal control of species augmentation in a competition model10
Mechanistic models are hypotheses: A perspective10
Randomness accelerates the dynamic clearing process of the COVID-19 outbreaks in China10
A framework for the modelling and the analysis of epidemiological spread in commuting populations10
A stochastic model for neural progenitor dynamics in the mouse cerebral cortex10
Exploring the spatio–temporal dynamics in activator–inhibitor systems through a dual approach of analysis and computation9
Stability of periodic solution for a free boundary problem modeling small plaques9
Finding analytical approximations for discrete, stochastic, individual-based models of ecology9
Nonlinear control designs and their application to cancer differentiation therapy9
Classification of 2-node excitatory–inhibitory networks9
Assessing the accuracy of an imperfect dichotomous test in a multiple testing context9
Applying a multi-strain dengue model to epidemics data9
Life-History traits and the replicator equation9
Mechanistic gene networks inferred from single-cell data with an outlier-insensitive method9
A mathematical modeling study of the effectiveness of contact tracing in reducing the spread of infectious diseases with incubation period8
Social vs. individual age-dependent costs of imperfect vaccination8
Existence and stability criteria for global synchrony and for synchrony in two alternating clusters of pulse-coupled oscillators updated to include conduction delays8
Editorial Board8
Extinction in host–vector infection models and the role of heterogeneity8
Hypergraphs and centrality measures identifying key features in gene expression data8
An SEIR network epidemic model with manual and digital contact tracing allowing delays8
Modeling the interplay between disease spread, behaviors, and disease perception with a data-driven approach8
A mathematical model for cancer dynamics with treatment and saboteur bacteria8
Mathematical modeling of neuroblast migration toward the olfactory bulb8
Modulation of nuclear and cytoplasmic mRNA fluctuations by time-dependent stimuli: Analytical distributions7
Using observed incidence to calibrate the transmission level of a mathematical model for Plasmodium vivax dynamics including case management and importation7
Calibrating a parameterized stochastic Boolean network model of gene regulation using a single steady-state gene expression profile7
Persistence index for harvested populations7
A non local model for cell migration in response to mechanical stimuli7
Mathematical modelling of the mosquito Aedes polynesiensis in a heterogeneous environment7
A spatiotemporal model for the effects of toxicants on the competitive dynamics of aquatic species7
Topological data analysis of antibody dynamics of severe and non-severe patients with COVID-197
Patient-specific prediction of glioblastoma growth via reduced order modeling and neural networks7
Distributions of prevalence and daily new cases in a stochastic linear SEIR model7
Dynamics of bovine tuberculosis transmission in mixed herds in Chad7
Book Review7
Spatio-temporal model of combining chemotherapy with senolytic treatment in lung cancer7
Rate-limiting recovery processes in neurotransmission under sustained stimulation7
Deconstructing the integrated oscillator model for pancreatic β-ce7
A mathematical study of anti-VEGF and cytotoxic therapies of cancer with optimal control7
Editorial Board7
The dynamics of casual groups can keep free-riders at bay7
Modeling and analysis of a human papilloma virus transmission model with impact of media7
Analysis of tumor-immune functional responses in a mathematical model of neoantigen cancer vaccines7
Effects of nonlinear impulsive controls and seasonality on hantavirus infection6
Modeling mixotroph-bacterium dynamics: Spatial homogeneity vs heterogeneity6
Critical assessment of the impact of vaccine-type and immunity on the burden of COVID-196
Dynamics of a pine wilt disease control model with nonlocal competition and memory diffusion6
Stochastic model of siRNA endosomal escape mediated by fusogenic peptides6
Combining mathematical modeling and deep learning to make rapid and explainable predictions of the patient-specific response to anticoagulant therapy under venous flow6
Modeling the synergistic interplay between malaria dynamics and economic growth6
Sustainability & social segmentation in social media contagion: A mathematical and computational study on dual effects of individual needs & peer influence6
Genome-wide covariation in SARS-CoV-26
Editorial Board6
A machine learning model for nowcasting epidemic incidence6
Infection-induced host extinction: Deterministic and stochastic models for environmentally transmitted pathogens5
Stochastic modeling of SIS epidemics with logarithmic Ornstein–Uhlenbeck process and generalized nonlinear incidence5
Pattern dynamics analysis and parameter identification of spatiotemporal infectious disease models on complex networks5
From economic threshold to economic injury level: Modeling the residual effect and delayed response of pesticide application5
The impact of risk compensation adaptive behavior on the final epidemic size5
Epidemic spread on patch networks with community structure5
Dynamic analysis of a drug resistance evolution model with nonlinear immune response5
A simple model for how the risk of pandemics from different virus families depends on viral and human traits5
Dynamics of phase tumbling and the reentrainment of circadian oscillators5
Bifurcations of higher codimension in a Leslie–Gower predator–prey model with Holling II functional response and weak Allee effect5
Profile likelihood-based parameter and predictive interval analysis guides model choice for ecological population dynamics5
Determinants of successful disease control through voluntary quarantine dynamics on social networks5
Efficacy of the Sterile Insect Technique in the presence of inaccessible areas: A study using two-patch models5
Emergence of non-trivial solutions from trivial solutions in reaction–diffusion equations for pattern formation5
Effect of demographic and seasonal variability on an influenza epidemic in a metapopulation model5
Probabilistic models of uORF-mediated ATF4 translation control5
Two-step global sensitivity analysis of a non-local integro-differential model for Cancer-on-Chip experiments4
The impact of water storage capacity on plant dynamics in arid environments: A stoichiometric modeling approach4
A metapopulation model with exit screening measure for the 2014–2016 West Africa Ebola virus outbreak4
Rich dynamics in a delayed water borne pathogen model with overexposure4
Estimation of time-varying recovery and death rates from epidemiological data: A new approach4
Mathematical modeling of brain metastases growth and response to therapies: A review4
Emergence of multiple foraging strategies under competition4
Editorial Board4
Partial mean-field model for neurotransmission dynamics4
An augmented phase plane approach for discrete planar maps: Introducing next-iterate operators4
Target reproduction numbers for time-delayed population systems4
A theory for viral rebound after antiviral treatment: A study case for SARS-CoV-24
A stochastic framework for evaluating CAR T cell therapy efficacy and variability4
Interaction intensity in strategic fitness: A quantifying yardstick of selection optimization for evolutionary game4
Modeling and dynamics of Brucella infection-induced macrophage apoptosis inhibition4
Infection propagation in a tissue with resident macrophages4
Editorial Board4
Mathematical modelling of carbohydrate and protein metabolism in muscle4
Mathematical modelling of atrial and ventricular pressure–volume dynamics and their change with heart rate4
Challenges in cybersecurity: Lessons from biological defense systems4
A simultaneous simulation of human behavior dynamics and epidemic spread: A multi-country study amidst the COVID-19 pandemic4
Different mechanisms of CD200-CD200R induce diverse outcomes in cancer treatment4
Open problems in mathematical biology4
On the design and stability of cancer adaptive therapy cycles: Deterministic and stochastic models4
Stochastic two-strain epidemic model with saturated incidence rates driven by Lévy noise4
Editorial Board4
Modeling realistic synaptic inputs of CA1 hippocampal pyramidal neurons and interneurons via Adaptive Generalized Leaky Integrate-and-Fire models4
A yeast cell cycle pulse generator model shows consistency with multiple oscillatory and checkpoint mutant datasets4
Patterning of nonlocal transport models in biology: The impact of spatial dimension4
A mathematical model for the within-host (re)infection dynamics of SARS-CoV-24
Towards a new combination therapy with vectored immunoprophylaxis for HIV: Modeling “shock and kill” strategy4
Modeling correlated uncertainties in stochastic compartmental models4
A simple model for the analysis of epidemics based on hospitalization data4
Stratified epidemic model using a latent marked Hawkes process3
Assessing the influence of HIV on the spread of Mpox disease3
Spatial heterogeneity analysis for the transmission of syphilis disease in China via a data-validated reaction–diffusion model3
Coupling dynamics of 2D Notch-Delta signalling3
Global dynamics of a compartmental model to assess the effect of transmission from deceased3
How to correctly fit an SIR model to data from an SEIR model?3
Dynamical differences in rod and cone photoresponses3
Modeling the effects of cross immunity and control measures on competitive dynamics of SARS-CoV-2 variants in the USA, UK, and Brazil3
A mechanistic modeling and estimation framework for environmental pathogen surveillance3
Editorial Board3
Population dynamics of a stoichiometric aquatic tri-trophic level model with fear effect3
Modelling the impact of organic molecules and phosphate ions on biosilica pattern formation in diatoms3
Editorial Board3
Chemotaxis effects on the vascular tumor growth: Phase-field model and simulations3
Employing nullclines to balance treatment efficacy and neurotoxicity for sustained tumor control3
Editorial Board3
Optimal control of the SIR model with constrained policy, with an application to COVID-193
The effects of tritiated water on competitive outcomes of two Daphnia species in lakes: A reaction–diffusion tritium-taxis model3
Mathematical model of replication–mutation dynamics in coronaviruses3
NREM–REM alternation complicates transitions from napping to non-napping behavior in a three-state model of sleep–wake regulation3
Spatial pattern regulation strategy of bimolecular model with anomalous diffusion and nonlocal effects3
Impact of heterogeneity on infection probability: Insights from single-hit dose–response models3
Mathematical modeling and analysis of the heat shock protein response during thermal stress in fish and HeLa cells3
Different routes of infection of H5N1 lead to changes in infecting time3
Comparing the long-term persistence of different Wolbachia strains after the release of bacteria-carrying mosquitoes3
Editorial Board3
A stochastic model for the bacterial growth exhibiting staged growth, desynchronization, saturation and persistence3
Optimal classification and generalized prevalence estimates for diagnostic settings with more than two classes3
Mechanical causes and implications of repetitive DNA motifs3
Variant-specific interventions to slow down replacement and prevent outbreaks3
A hybrid spatiotemporal model of PCa dynamics and insights into optimal therapeutic strategies2
Theoretical quantification of the polyvalent binding of nanoparticles coated with peptide-major histocompatibility complex to T cell receptor-nanoclusters2
Computing the extinction path for epidemic models2
A closed-loop multi-scale model for intrinsic frequency-dependent regulation of axonal growth2
Editorial Board2
Fibrotic extracellular matrix preferentially induces a partial Epithelial–Mesenchymal Transition phenotype in a 3-D agent based model of fibrosis2
Homeostasis in input-output networks: Structure, Classification and Applications2
A soluble model for synchronized rhythmic activity in ant colonies2
Sustainable management of predatory fish affected by an Allee effect through marine protected areas and taxation2
Analyzing time activity curves from spatio-temporal tracer data to determine tracer transport velocity in plants2
Role of non-exponential reversal times in aggregation models of bacterial populations2
Post-pandemic modeling of COVID-19: Waning immunity determines recurrence frequency2
A fully dynamical theory for the rate of arterial gas embolism growth and dissolution2
Sustainable scenarios in a plants–rhizobacteria–plant consumers system are in risk when biotic or abiotic factors change2
Editorial Board2
Estimating cellular redundancy in networks of genetic expression2
On the necessity of accounting for age structure in human malaria transmission modeling2
A two-galectin network establishes mesenchymal condensation phenotype in limb development2
A ‘Portfolio of Model Approximations’ approach to understanding invasion success with vector-borne disease2
In Memory of Edmund John Crampin: Multi-scale and multi-physics phenomena in biology2
Optimal control of eggplant pest populations in a Predator–Prey–Parasitoid model with seasonal growth effects2
Generalized measures of population synchrony2
Deciphering Akt activation: Insights from a mean-field model2
Competing elastic and viscous gradients determine directional cell migration2
A simple derivation of the mean of the Sackin index of tree balance under the uniform model on rooted binary labeled trees2
Dynamics aspects and bifurcations of a tumor-immune system interaction under stationary immunotherapy2
Insights of infected Schwann cells extinction and inherited randomness in a stochastic model of leprosy2
Fractional-order modeling of myocardium structure effects on atrial fibrillation electrograms2
Great fish war with moratorium2
A constrained optimisation framework for parameter identification of the SIRD model2
A conceptual framework for modeling a latching mechanism for cell cycle regulation2
Impact of enzyme turnover on the dynamics of the Michaelis–Menten model2
A dynamical adaptation model of visual spatiotemporal processing in cones and horizontal cells2
Analysis of the absorption kinetics following dermal exposure to large doses of volatile organic compounds2
A topological data analysis study on murine pulmonary arterial trees with pulmonary hypertension2
Editorial Board2
Deficient cell-cell cohesion is linked with lobular localization in simplified models of lobular carcinoma in situ (LCIS)2
A mathematical model of protein subunits COVID-19 vaccines2
Allee effects introduced by density dependent phenology2
Modeling county level COVID-19 transmission in the greater St. Louis area: Challenges of uncertainty and identifiability when fitting mechanistic models to time-varying processes2
WENDY: Covariance dynamics based gene regulatory network inference2
Assessing the impact of the Wolbachia-based control of malaria2
A birth–death model to understand bacterial antimicrobial heteroresistance from time-kill curves2
Mathematical model for IL-2-based cancer immunotherapy2
A local polynomial moment approximation for compartmentalized biochemical systems2
A systematic review of mathematical models of Lassa fever2
Pairwise and higher-order epistatic effects among somatic cancer mutations across oncogenesis2
Recurrent patterns of disease spread post the acute phase of a pandemic: Insights from a coupled system of a differential equation for disease transmission and a delayed algebraic equation for behavio2
On the anti-quasi-steady-state conditions of enzyme kinetics2
Parameter estimation for closed-loop lumped parameter models of the systemic circulation using synthetic data2
Editorial Board2
A simple model for viral decay dynamics and the distribution of infected cell life spans in SHIV-infected infant rhesus macaques1
Impact of latent delay and environment infection on tuberculosis dynamics in a population1
Numerical investigations of the bulk-surface wave pinning model1
GMFOLD: Subgraph matching for high-throughput DNA-aptamer secondary structure classification and machine learning interpretability1
Ecoepidemic modeling and dynamics of alveolar echinococcosis transmission1
Travelling waves due to negative plant–soil feedbacks in a model including tree life-stages1
Robust control strategy by the Sterile Insect Technique for reducing epidemiological risk in presence of vector migration1
Bifurcation analysis of tumor-immune dynamics under the dual Allee effects1
The importance of incorporating ventricular–ventricular interaction (VVI) in the study of pulmonary hypertension1
Equilibrium analysis of discrete stochastic population models with gamma distribution1
Assessment of bidirectional impact of stigmatization induced self-medication on COVID-19 and malaria transmissions using mathematical modeling: Nigeria as a case study1
Modeling hypoxia-related inflammation scenarios1
Investigating seasonal disease emergence and extinction in stochastic epidemic models1
Foraging dynamics in social insect colonies: Mechanisms of backward bifurcations and impacts of stochasticity1
Modeling virus-stimulated proliferation of CD4+<1
Understanding antibody magnitude and durability following vaccination against SARS-CoV-21
Determining the effects of wind-aided midge movement on the outbreak and coexistence of multiple bluetongue virus serotypes in patchy environments1
Editorial Board1
IP3R activity increases propensity of RyR-mediated sparks by elevating dyadic [Ca2+]1
A multi-scale simulation of retinal physiology1
Conditions for Kir-induced bistability of membrane potential in capillary endothelial cells1
Corrigendum to “Exact and approximate formulas for contact tracing on random trees” [Mathematical Biosciences 321 (2020) 108320]1
A model of a fishery with fish storage and variable price involving delay equations1
Nonhomogeneous mixing reduces disease prevalence1
Lattice structures that parameterize regulatory network dynamics1
Editorial Board1
Editorial Board1
An epidemic model for COVID-19 transmission in Argentina: Exploration of the alternating quarantine and massive testing strategies1
Modeling the role of temperature-dependent microbiome composition in black band disease transmission among coral reefs1
Editorial Board1
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