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 2021-07-01 to 2025-07-01.)
ArticleCitations
Controlling smoking: A smoking epidemic model with different smoking degrees in deterministic and stochastic environments92
Effect of homophily on coupled behavior-disease dynamics near a tipping point74
Investigating the eco-evolutionary tunnels for establishing cooperative communities33
Effect of cross-immunity in a two-strain cholera model with aquatic component31
Analyzing the use of non-pharmaceutical personal protective measures through self-interest and social optimum for the control of an emerging disease25
Editorial Board22
Editorial Board22
Imperfect vaccine can yield multiple Nash equilibria in vaccination games21
Mycoloop: Modeling phytoplankton–chytrid–zooplankton interactions in aquatic food webs19
Measuring tree balance using symmetry nodes — A new balance index and its extremal properties18
Optimization of additive chemotherapy combinations for an in vitro cell cycle model with constant drug exposures18
Influence of telomerase activity and initial distribution on human follicular aging: Moving from a discrete to a continuum model17
On the role of vesicle transport in neurite growth: Modeling and experiments16
Interplay of virulence factors shapes ecology and treatment outcomes in polymicrobial infections16
A new method for the estimation of stochastic epidemic descriptors reinforced by Kalman-based dynamic parameter estimation. Application to mpox data15
Editorial Board14
Machine learning provides insight into models of heterogeneous electrical activity in human beta-cells14
Processes governing species richness in communities exposed to temporal environmental stochasticity: A review and synthesis of modelling approaches14
Sequential allocation of vaccine to control an infectious disease14
A joint-threshold Filippov model describing the effect of intermittent androgen-deprivation therapy in controlling prostate cancer13
Overcoming the impossibility of age-balanced harvest12
Minimising the use of costly control measures in an epidemic elimination strategy: A simple mathematical model12
Testing-isolation interventions will likely be insufficient to contain future novel disease outbreaks11
Metabolic blood flow regulation in a hybrid model of the human retinal microcirculation11
A simple model of coupled individual behavior and its impact on epidemic dynamics11
Fractional modelling of COVID-19 transmission incorporating asymptomatic and super-spreader individuals11
Variation in environmental stochasticity dramatically affects viability and extinction time in a predator–prey system with high prey group cohesion11
Learning transmission dynamics modelling of COVID-19 using comomodels10
Predicting resistance and pseudoprogression: are minimalistic immunoediting mathematical models capable of forecasting checkpoint inhibitor treatment outcomes in lung cancer?10
Characterizing symmetry transitions in systems with dynamic morphology10
Editorial Board10
A stochastic programming approach to the antibiotics time machine problem10
Dynamics of COVID-19 based on spontaneous individual behaviors of vaccination10
Exploring trade-offs in drug administration for cancer treatment: A multi-criteria optimisation approach9
We are all different: Modeling key individual differences in physiological systems9
Cell orientation under stretch: Stability of a linear viscoelastic model9
Mechanistic models are hypotheses: A perspective9
Randomness accelerates the dynamic clearing process of the COVID-19 outbreaks in China9
Optimal allocation of limited vaccine to control an infectious disease: Simple analytical conditions8
Modeling the interplay between disease spread, behaviors, and disease perception with a data-driven approach8
Stability of periodic solution for a free boundary problem modeling small plaques8
Exploring the spatio–temporal dynamics in activator–inhibitor systems through a dual approach of analysis and computation8
A stochastic model for neural progenitor dynamics in the mouse cerebral cortex8
Classification of 2-node excitatory–inhibitory networks8
A mathematical modeling study of the effectiveness of contact tracing in reducing the spread of infectious diseases with incubation period8
Nonlinear control designs and their application to cancer differentiation therapy8
Optimal control of species augmentation in a competition model8
A framework for the modelling and the analysis of epidemiological spread in commuting populations8
Life-History traits and the replicator equation8
Extinction in host–vector infection models and the role of heterogeneity8
An SEIR network epidemic model with manual and digital contact tracing allowing delays7
Topological data analysis of antibody dynamics of severe and non-severe patients with COVID-197
Editorial Board7
Applying a multi-strain dengue model to epidemics data7
Finding analytical approximations for discrete, stochastic, individual-based models of ecology7
Social vs. individual age-dependent costs of imperfect vaccination7
Editorial Board7
Mechanistic gene networks inferred from single-cell data with an outlier-insensitive method7
A spatiotemporal model for the effects of toxicants on the competitive dynamics of aquatic species7
Rate-limiting recovery processes in neurotransmission under sustained stimulation7
Using observed incidence to calibrate the transmission level of a mathematical model for Plasmodium vivax dynamics including case management and importation7
Assessing the accuracy of an imperfect dichotomous test in a multiple testing context7
Editorial Board7
Hypergraphs and centrality measures identifying key features in gene expression data6
Deconstructing the integrated oscillator model for pancreatic β-ce6
Book Review6
Spatio-temporal model of combining chemotherapy with senolytic treatment in lung cancer6
Modeling and analysis of a human papilloma virus transmission model with impact of media6
A machine learning model for nowcasting epidemic incidence6
Modulation of nuclear and cytoplasmic mRNA fluctuations by time-dependent stimuli: Analytical distributions6
Mathematical modeling of neuroblast migration toward the olfactory bulb6
Model reduction for initial value ODEs6
The dynamics of casual groups can keep free-riders at bay6
Editorial Board6
Combining mathematical modeling and deep learning to make rapid and explainable predictions of the patient-specific response to anticoagulant therapy under venous flow6
Analysis of tumor-immune functional responses in a mathematical model of neoantigen cancer vaccines6
Existence and stability criteria for global synchrony and for synchrony in two alternating clusters of pulse-coupled oscillators updated to include conduction delays6
Mathematical modelling of the mosquito Aedes polynesiensis in a heterogeneous environment6
Sustainability & social segmentation in social media contagion: A mathematical and computational study on dual effects of individual needs & peer influence6
Effects of nonlinear impulsive controls and seasonality on hantavirus infection6
A non local model for cell migration in response to mechanical stimuli6
Probabilistic models of uORF-mediated ATF4 translation control5
Stochastic modeling of SIS epidemics with logarithmic Ornstein–Uhlenbeck process and generalized nonlinear incidence5
Determinants of successful disease control through voluntary quarantine dynamics on social networks5
Profile likelihood-based parameter and predictive interval analysis guides model choice for ecological population dynamics5
Infection-induced host extinction: Deterministic and stochastic models for environmentally transmitted pathogens5
Dynamic analysis of a drug resistance evolution model with nonlinear immune response5
To Sobol or not to Sobol? The effects of sampling schemes in systems biology applications5
Epidemic spread on patch networks with community structure5
Critical assessment of the impact of vaccine-type and immunity on the burden of COVID-195
Genome-wide covariation in SARS-CoV-25
The impact of risk compensation adaptive behavior on the final epidemic size5
Efficacy of the Sterile Insect Technique in the presence of inaccessible areas: A study using two-patch models5
Modeling the synergistic interplay between malaria dynamics and economic growth5
A simple model for how the risk of pandemics from different virus families depends on viral and human traits5
A stochastic framework for evaluating CAR T cell therapy efficacy and variability4
His and her mathematical models of physiological systems4
Different mechanisms of CD200-CD200R induce diverse outcomes in cancer treatment4
Interaction intensity in strategic fitness: A quantifying yardstick of selection optimization for evolutionary game4
Two-step global sensitivity analysis of a non-local integro-differential model for Cancer-on-Chip experiments4
Infection propagation in a tissue with resident macrophages4
Open problems in mathematical biology4
Bifurcations of higher codimension in a Leslie–Gower predator–prey model with Holling II functional response and weak Allee effect4
A metapopulation model with exit screening measure for the 2014–2016 West Africa Ebola virus outbreak4
A simple model for the analysis of epidemics based on hospitalization data4
An augmented phase plane approach for discrete planar maps: Introducing next-iterate operators4
Partial mean-field model for neurotransmission dynamics4
Stochastic two-strain epidemic model with saturated incidence rates driven by Lévy noise4
The impact of water storage capacity on plant dynamics in arid environments: A stoichiometric modeling approach4
Dynamics of phase tumbling and the reentrainment of circadian oscillators4
Emergence of non-trivial solutions from trivial solutions in reaction–diffusion equations for pattern formation4
From economic threshold to economic injury level: Modeling the residual effect and delayed response of pesticide application4
Modeling realistic synaptic inputs of CA1 hippocampal pyramidal neurons and interneurons via Adaptive Generalized Leaky Integrate-and-Fire models4
Challenges in cybersecurity: Lessons from biological defense systems4
Target reproduction numbers for time-delayed population systems4
A theory for viral rebound after antiviral treatment: A study case for SARS-CoV-24
Editorial Board4
Emergence of multiple foraging strategies under competition3
Modeling correlated uncertainties in stochastic compartmental models3
Optimal allocation of limited vaccine to minimize the effective reproduction number3
Variant-specific interventions to slow down replacement and prevent outbreaks3
Dynamical differences in rod and cone photoresponses3
Combining mutation and horizontal gene transfer in a within-host model of antibiotic resistance3
A mechanistic modeling and estimation framework for environmental pathogen surveillance3
Mathematical modeling and analysis of the heat shock protein response during thermal stress in fish and HeLa cells3
Editorial Board3
How to correctly fit an SIR model to data from an SEIR model?3
Patterning of nonlocal transport models in biology: The impact of spatial dimension3
Editorial Board3
A mathematical model for the within-host (re)infection dynamics of SARS-CoV-23
Coupling dynamics of 2D Notch-Delta signalling3
A simultaneous simulation of human behavior dynamics and epidemic spread: A multi-country study amidst the COVID-19 pandemic3
Editorial Board3
Stratified epidemic model using a latent marked Hawkes process3
Post-pandemic modeling of COVID-19: Waning immunity determines recurrence frequency3
Mechanical causes and implications of repetitive DNA motifs3
Editorial Board3
Impact of heterogeneity on infection probability: Insights from single-hit dose–response models3
Mathematical modelling of atrial and ventricular pressure–volume dynamics and their change with heart rate3
Global dynamics of a compartmental model to assess the effect of transmission from deceased3
Editorial Board3
Editorial Board3
Towards a new combination therapy with vectored immunoprophylaxis for HIV: Modeling “shock and kill” strategy3
A yeast cell cycle pulse generator model shows consistency with multiple oscillatory and checkpoint mutant datasets3
Editorial Board3
NREM–REM alternation complicates transitions from napping to non-napping behavior in a three-state model of sleep–wake regulation3
Comparing the long-term persistence of different Wolbachia strains after the release of bacteria-carrying mosquitoes3
Optimal classification and generalized prevalence estimates for diagnostic settings with more than two classes3
The effects of tritiated water on competitive outcomes of two Daphnia species in lakes: A reaction–diffusion tritium-taxis model3
Mathematical modeling of brain metastases growth and response to therapies: A review3
Spatial heterogeneity analysis for the transmission of syphilis disease in China via a data-validated reaction–diffusion model3
Different routes of infection of H5N1 lead to changes in infecting time3
Population dynamics of a stoichiometric aquatic tri-trophic level model with fear effect3
Chemotaxis effects on the vascular tumor growth: Phase-field model and simulations3
Theoretical quantification of the polyvalent binding of nanoparticles coated with peptide-major histocompatibility complex to T cell receptor-nanoclusters2
Editorial Board2
Editorial Board2
A soluble model for synchronized rhythmic activity in ant colonies2
On the anti-quasi-steady-state conditions of enzyme kinetics2
A ‘Portfolio of Model Approximations’ approach to understanding invasion success with vector-borne disease2
A conceptual framework for modeling a latching mechanism for cell cycle regulation2
Modeling the effects of cross immunity and control measures on competitive dynamics of SARS-CoV-2 variants in the USA, UK, and Brazil2
Editorial Board2
Modeling of network based digital contact tracing and testing strategies, including the pre-exposure notification system, for the COVID-19 pandemic2
Mathematically modeling the effect of touch frequency on the environmental transmission of Clostridioides difficile in healthcare settings2
Estimating cellular redundancy in networks of genetic expression2
A systematic review of mathematical models of Lassa fever2
Great fish war with moratorium2
Fractional-order modeling of myocardium structure effects on atrial fibrillation electrograms2
A simple derivation of the mean of the Sackin index of tree balance under the uniform model on rooted binary labeled trees2
Pairwise and higher-order epistatic effects among somatic cancer mutations across oncogenesis2
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
Impact of enzyme turnover on the dynamics of the Michaelis–Menten model2
Analyzing time activity curves from spatio-temporal tracer data to determine tracer transport velocity in plants2
A birth–death model to understand bacterial antimicrobial heteroresistance from time-kill curves2
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
Assessment of effective mitigation and prediction of the spread of SARS-CoV-2 in Germany using demographic information and spatial resolution2
A stochastic model for the bacterial growth exhibiting staged growth, desynchronization, saturation and persistence2
Fibrotic extracellular matrix preferentially induces a partial Epithelial–Mesenchymal Transition phenotype in a 3-D agent based model of fibrosis2
A dynamical adaptation model of visual spatiotemporal processing in cones and horizontal cells2
Deciphering Akt activation: Insights from a mean-field model2
A mathematical model of protein subunits COVID-19 vaccines2
Insights of infected Schwann cells extinction and inherited randomness in a stochastic model of leprosy2
A closed-loop multi-scale model for intrinsic frequency-dependent regulation of axonal growth2
WENDY: Covariance dynamics based gene regulatory network inference2
Mathematical model for IL-2-based cancer immunotherapy2
On the necessity of accounting for age structure in human malaria transmission modeling2
A local polynomial moment approximation for compartmentalized biochemical systems2
Parameter estimation for closed-loop lumped parameter models of the systemic circulation using synthetic data2
Optimal control of the SIR model with constrained policy, with an application to COVID-192
A constrained optimisation framework for parameter identification of the SIRD model2
Role of non-exponential reversal times in aggregation models of bacterial populations2
Modeling the life cycle of the spotted lanternfly (Lycorma delicatula) with management implications2
Editorial Board1
IP3R activity increases propensity of RyR-mediated sparks by elevating dyadic [Ca2+]1
Dynamics aspects and bifurcations of a tumor-immune system interaction under stationary immunotherapy1
An epidemic model for COVID-19 transmission in Argentina: Exploration of the alternating quarantine and massive testing strategies1
Modeling the effects of size-dependent harvesting strategies on the population dynamics of tropical trees1
Assessment of bidirectional impact of stigmatization induced self-medication on COVID-19 and malaria transmissions using mathematical modeling: Nigeria as a case study1
A multi-scale simulation of retinal physiology1
Editorial Board1
Editorial Board1
Modelling the stochastic importation dynamics and establishment of novel pathogenic strains using a general branching processes framework1
Autocatalytic recombination systems: A reaction network perspective1
Adolescent vaping behaviours: Exploring the dynamics of a social contagion model1
Dynamics of partially mitigated multi-phasic epidemics at low susceptible depletion: phases of COVID-19 control in Italy as case study1
A two-galectin network establishes mesenchymal condensation phenotype in limb development1
A pipeline for testing drug mechanism of action and combination therapies: From microarray data to simulations via Linear-In-Flux-Expressions1
Homeostasis in input-output networks: Structure, Classification and Applications1
On pattern formation in the thermodynamically-consistent variational Gray-Scott model1
Deficient cell-cell cohesion is linked with lobular localization in simplified models of lobular carcinoma in situ (LCIS)1
COVID-19 optimal vaccination policies: A modeling study on efficacy, natural and vaccine-induced immunity responses1
Editorial Board1
WITHDRAWN: Editorial—Multi-scale and multi-physics phenomena in biology: A special issue honoring Edmund Crampin1
Computational modelling of nephron progenitor cell movement and aggregation during kidney organogenesis1
Biological pattern formation in cell dynamics under cross-diffusion: An Isogeometric analysis perspective1
Evidence of the cooperative response of Blattella germanica gut microbiota to antibiotic treatment1
Editorial Board1
Infection thresholds for two interacting pathogens in a wild animal population1
The importance of incorporating ventricular–ventricular interaction (VVI) in the study of pulmonary hypertension1
Efficient and scalable prediction of stochastic reaction–diffusion processes using graph neural networks1
Equilibrium analysis of discrete stochastic population models with gamma distribution1
Bloom dynamics under the effects of periodic driving forces1
Demand-induced regime shift in fishery: A mathematical perspective1
Analyzing the effects of observation function selection in ensemble Kalman filtering for epidemic models1
Determining the effects of wind-aided midge movement on the outbreak and coexistence of multiple bluetongue virus serotypes in patchy environments1
A topological data analysis study on murine pulmonary arterial trees with pulmonary hypertension1
Pairing food and drink: A physiological model of blood ethanol levels for a variety of drinking behaviors1
Allee effects introduced by density dependent phenology1
Effects of fish–human transmission and different life stages of fish on Clonorchiasis: A novel mathematical model1
A hybrid spatiotemporal model of PCa dynamics and insights into optimal therapeutic strategies1
Modeling the distribution of enzymes on lipid vesicles: A novel framework for surface-mediated reactions in coagulation1
Analysis of the absorption kinetics following dermal exposure to large doses of volatile organic compounds1
Mathematical modeling and analysis of cancer treatment with radiation and anti-PD-L11
Sustainable management of predatory fish affected by an Allee effect through marine protected areas and taxation1
Identifying patterning behavior in a plant infestation of insect pests1
Editorial Board1
Network thermodynamics of biological systems: A bond graph approach1
Modeling the role of temperature-dependent microbiome composition in black band disease transmission among coral reefs1
Editorial Board1
The lost art of mathematical modelling1
Random evolutionary dynamics in predator–prey systems yields large, clustered ecosystems1
Bifurcation analysis of tumor-immune dynamics under the dual Allee effects1
Generalized measures of population synchrony1
Conditions for Kir-induced bistability of membrane potential in capillary endothelial cells1
Competing elastic and viscous gradients determine directional cell migration1
A probabilistic model of relapse in drug addiction1
In Memory of Edmund John Crampin: Multi-scale and multi-physics phenomena in biology1
The roles of continuous and discontinuous proliferations on hepatitis B virus infection1
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