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 2021-05-01 to 2025-05-01.)
ArticleCitations
Measuring tree balance using symmetry nodes — A new balance index and its extremal properties89
Controlling smoking: A smoking epidemic model with different smoking degrees in deterministic and stochastic environments67
Processes governing species richness in communities exposed to temporal environmental stochasticity: A review and synthesis of modelling approaches32
Effect of homophily on coupled behavior-disease dynamics near a tipping point28
Imperfect vaccine can yield multiple Nash equilibria in vaccination games22
Investigating the eco-evolutionary tunnels for establishing cooperative communities21
Analyzing the use of non-pharmaceutical personal protective measures through self-interest and social optimum for the control of an emerging disease20
Effect of cross-immunity in a two-strain cholera model with aquatic component20
Editorial Board19
Optimization of additive chemotherapy combinations for an in vitro cell cycle model with constant drug exposures19
Influence of telomerase activity and initial distribution on human follicular aging: Moving from a discrete to a continuum model17
A new method for the estimation of stochastic epidemic descriptors reinforced by Kalman-based dynamic parameter estimation. Application to mpox data16
Editorial Board16
Mycoloop: Modeling phytoplankton–chytrid–zooplankton interactions in aquatic food webs15
Interplay of virulence factors shapes ecology and treatment outcomes in polymicrobial infections15
On the role of vesicle transport in neurite growth: Modeling and experiments14
Editorial Board13
Minimising the use of costly control measures in an epidemic elimination strategy: A simple mathematical model13
Overcoming the impossibility of age-balanced harvest13
Machine learning provides insight into models of heterogeneous electrical activity in human beta-cells12
A joint-threshold Filippov model describing the effect of intermittent androgen-deprivation therapy in controlling prostate cancer12
Fractional modelling of COVID-19 transmission incorporating asymptomatic and super-spreader individuals11
A stochastic programming approach to the antibiotics time machine problem11
Sequential allocation of vaccine to control an infectious disease11
Editorial Board11
A simple model of coupled individual behavior and its impact on epidemic dynamics11
Metabolic blood flow regulation in a hybrid model of the human retinal microcirculation11
We are all different: Modeling key individual differences in physiological systems10
Variation in environmental stochasticity dramatically affects viability and extinction time in a predator–prey system with high prey group cohesion10
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
Cell orientation under stretch: Stability of a linear viscoelastic model9
Optimal control of species augmentation in a competition model9
A stochastic model for neural progenitor dynamics in the mouse cerebral cortex9
Exploring trade-offs in drug administration for cancer treatment: A multi-criteria optimisation approach9
Randomness accelerates the dynamic clearing process of the COVID-19 outbreaks in China9
A framework for the modelling and the analysis of epidemiological spread in commuting populations9
Mechanistic gene networks inferred from single-cell data with an outlier-insensitive method8
Mathematical modeling of spatio-temporal population dynamics and application to epidemic spreading8
Assessing the accuracy of an imperfect dichotomous test in a multiple testing context8
Optimal allocation of limited vaccine to control an infectious disease: Simple analytical conditions8
Nonlinear control designs and their application to cancer differentiation therapy8
Finding analytical approximations for discrete, stochastic, individual-based models of ecology8
Mechanistic models are hypotheses: A perspective8
Life-History traits and the replicator equation7
Stability of periodic solution for a free boundary problem modeling small plaques7
Applying a multi-strain dengue model to epidemics data7
Extinction in host–vector infection models and the role of heterogeneity7
Classification of 2-node excitatory–inhibitory networks7
A spatiotemporal model for the effects of toxicants on the competitive dynamics of aquatic species7
Predicting the results of competition between two breast cancer lines grown in 3-D spheroid culture7
Modeling the interplay between disease spread, behaviors, and disease perception with a data-driven approach7
A mathematical modeling study of the effectiveness of contact tracing in reducing the spread of infectious diseases with incubation period7
Editorial Board7
Hypergraphs and centrality measures identifying key features in gene expression data6
The dynamics of casual groups can keep free-riders at bay6
Deconstructing the integrated oscillator model for pancreatic β-ce6
Editorial Board6
Existence and stability criteria for global synchrony and for synchrony in two alternating clusters of pulse-coupled oscillators updated to include conduction delays6
Social vs. individual age-dependent costs of imperfect vaccination6
Mathematical modelling of the mosquito Aedes polynesiensis in a heterogeneous environment6
Mathematical modeling of neuroblast migration towards the olfactory bulb6
Book Review6
Editorial Board6
An SEIR network epidemic model with manual and digital contact tracing allowing delays6
Using observed incidence to calibrate the transmission level of a mathematical model for Plasmodium vivax dynamics including case management and importation6
Modulation of nuclear and cytoplasmic mRNA fluctuations by time-dependent stimuli: Analytical distributions6
Modeling and analysis of a human papilloma virus transmission model with impact of media6
Model reduction for initial value ODEs6
Editorial Board6
Rate-limiting recovery processes in neurotransmission under sustained stimulation6
Analysis of tumor-immune functional responses in a mathematical model of neoantigen cancer vaccines6
Topological data analysis of antibody dynamics of severe and non-severe patients with COVID-196
Spatio-temporal model of combining chemotherapy with senolytic treatment in lung cancer5
Effects of nonlinear impulsive controls and seasonality on hantavirus infection5
Profile likelihood-based parameter and predictive interval analysis guides model choice for ecological population dynamics5
Epidemic spread on patch networks with community structure5
Probabilistic models of uORF-mediated ATF4 translation control5
A non local model for cell migration in response to mechanical stimuli5
A machine learning model for nowcasting epidemic incidence5
Lockdown measures and their impact on single- and two-age-structured epidemic model for the COVID-19 outbreak in Mexico5
Modeling the synergistic interplay between malaria dynamics and economic growth5
The impact of risk compensation adaptive behavior on the final epidemic size5
Editorial Board5
Combining mathematical modeling and deep learning to make rapid and explainable predictions of the patient-specific response to anticoagulant therapy under venous flow5
Genome-wide covariation in SARS-CoV-25
Critical assessment of the impact of vaccine-type and immunity on the burden of COVID-195
A stochastic framework for evaluating CAR T cell therapy efficacy and variability4
Modeling realistic synaptic inputs of CA1 hippocampal pyramidal neurons and interneurons via Adaptive Generalized Leaky Integrate-and-Fire models4
A metapopulation model with exit screening measure for the 2014–2016 West Africa Ebola virus outbreak4
Efficacy of the Sterile Insect Technique in the presence of inaccessible areas: A study using two-patch models4
Stochastic modeling of SIS epidemics with logarithmic Ornstein–Uhlenbeck process and generalized nonlinear incidence4
Dynamic analysis of a drug resistance evolution model with nonlinear immune response4
Bifurcations of higher codimension in a Leslie–Gower predator–prey model with Holling II functional response and weak Allee effect4
Editorial Board4
Likelihood function for estimating parameters in multistate disease process with Laplace-transformation-based transition probabilities4
Open problems in mathematical biology4
Determinants of successful disease control through voluntary quarantine dynamics on social networks4
To Sobol or not to Sobol? The effects of sampling schemes in systems biology applications4
From economic threshold to economic injury level: Modeling the residual effect and delayed response of pesticide application4
Emergence of non-trivial solutions from trivial solutions in reaction–diffusion equations for pattern formation4
His and her mathematical models of physiological systems4
The impact of water storage capacity on plant dynamics in arid environments: A stoichiometric modeling approach4
Different mechanisms of CD200-CD200R induce diverse outcomes in cancer treatment4
A simple model for how the risk of pandemics from different virus families depends on viral and human traits4
Infection-induced host extinction: Deterministic and stochastic models for environmentally transmitted pathogens4
Dynamics of phase tumbling and the reentrainment of circadian oscillators4
Two-step global sensitivity analysis of a non-local integro-differential model for Cancer-on-Chip experiments3
Infection propagation in a tissue with resident macrophages3
Interaction intensity in strategic fitness: A quantifying yardstick of selection optimization for evolutionary game3
Editorial Board3
A mathematical model for the within-host (re)infection dynamics of SARS-CoV-23
Editorial Board3
Different routes of infection of H5N1 lead to changes in infecting time3
Editorial Board3
A yeast cell cycle pulse generator model shows consistency with multiple oscillatory and checkpoint mutant datasets3
A simultaneous simulation of human behavior dynamics and epidemic spread: A multi-country study amidst the COVID-19 pandemic3
Target reproduction numbers for time-delayed population systems3
Stochastic two-strain epidemic model with saturated incidence rates driven by Lévy noise3
A theory for viral rebound after antiviral treatment: A study case for SARS-CoV-23
Mathematical modeling of brain metastases growth and response to therapies: A review3
Patterning of nonlocal transport models in biology: The impact of spatial dimension3
Chemotaxis effects on the vascular tumor growth: Phase-field model and simulations3
Mathematical modelling of atrial and ventricular pressure–volume dynamics and their change with heart rate3
An augmented phase plane approach for discrete planar maps: Introducing next-iterate operators3
Challenges in cybersecurity: Lessons from biological defense systems3
A simple model for the analysis of epidemics based on hospitalization data3
Modeling correlated uncertainties in stochastic compartmental models3
Towards a new combination therapy with vectored immunoprophylaxis for HIV: Modeling “shock and kill” strategy3
Partial mean-field model for neurotransmission dynamics3
Emergence of multiple foraging strategies under competition3
Editorial Board3
Coupling dynamics of 2D Notch-Delta signalling3
Optimal allocation of limited vaccine to minimize the effective reproduction number3
Global dynamics of a compartmental model to assess the effect of transmission from deceased2
A fully dynamical theory for the rate of arterial gas embolism growth and dissolution2
Editorial Board2
A mathematical model of protein subunits COVID-19 vaccines2
Mathematically modeling the effect of touch frequency on the environmental transmission of Clostridioides difficile in healthcare settings2
A ‘Portfolio of Model Approximations’ approach to understanding invasion success with vector-borne disease2
Combining mutation and horizontal gene transfer in a within-host model of antibiotic resistance2
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
Mechanical causes and implications of repetitive DNA motifs2
Great fish war with moratorium2
Impact of heterogeneity on infection probability: Insights from single-hit dose-response models2
A stochastic model for the bacterial growth exhibiting staged growth, desynchronization, saturation and persistence2
Spatial heterogeneity analysis for the transmission of syphilis disease in China via a data-validated reaction–diffusion model2
Variant-specific interventions to slow down replacement and prevent outbreaks2
Editorial Board2
How to correctly fit an SIR model to data from an SEIR model?2
A systematic review of mathematical models of Lassa fever2
A closed-loop multi-scale model for intrinsic frequency-dependent regulation of axonal growth2
Mathematical model for IL-2-based cancer immunotherapy2
Editorial Board2
Mathematical modeling and analysis of the heat shock protein response during thermal stress in fish and HeLa cells2
Optimal control of the SIR model with constrained policy, with an application to COVID-192
A mechanistic modeling and estimation framework for environmental pathogen surveillance2
Modeling of network based digital contact tracing and testing strategies, including the pre-exposure notification system, for the COVID-19 pandemic2
NREM–REM alternation complicates transitions from napping to non-napping behavior in a three-state model of sleep–wake regulation2
Modeling the life cycle of the spotted lanternfly (Lycorma delicatula) with management implications2
Spatially localized cluster solutions in inhibitory neural networks2
Stratified epidemic model using a latent marked Hawkes process2
Editorial Board2
The effects of tritiated water on competitive outcomes of two Daphnia species in lakes: A reaction–diffusion tritium-taxis model2
Analyzing time activity curves from spatio-temporal tracer data to determine tracer transport velocity in plants2
A soluble model for synchronized rhythmic activity in ant colonies2
Fibrotic extracellular matrix preferentially induces a partial Epithelial–Mesenchymal Transition phenotype in a 3-D agent based model of fibrosis2
Theoretical quantification of the polyvalent binding of nanoparticles coated with peptide-major histocompatibility complex to T cell receptor-nanoclusters2
Optimal classification and generalized prevalence estimates for diagnostic settings with more than two classes2
Stochastic Epidemic Models inference and diagnosis with Poisson Random Measure Data Augmentation2
Editorial Board2
A local polynomial moment approximation for compartmentalized biochemical systems2
Population dynamics of a stoichiometric aquatic tri-trophic level model with fear effect2
Post-pandemic modeling of COVID-19: Waning immunity determines recurrence frequency2
Comparing the long-term persistence of different Wolbachia strains after the release of bacteria-carrying mosquitoes2
Allee effects introduced by density dependent phenology1
Editorial Board1
A constrained optimisation framework for parameter identification of the SIRD model1
Assessment of effective mitigation and prediction of the spread of SARS-CoV-2 in Germany using demographic information and spatial resolution1
A two-galectin network establishes mesenchymal condensation phenotype in limb development1
In silico modeling of endocrine organ-on-a-chip systems1
Modelling the stochastic importation dynamics and establishment of novel pathogenic strains using a general branching processes framework1
Editorial Board1
A conceptual framework for modeling a latching mechanism for cell cycle regulation1
Evidence of the cooperative response of Blattella germanica gut microbiota to antibiotic treatment1
Editorial Board1
Adolescent vaping behaviours: Exploring the dynamics of a social contagion model1
Editorial Board1
Analyzing the effects of observation function selection in ensemble Kalman filtering for epidemic models1
Estimating cellular redundancy in networks of genetic expression1
Bloom dynamics under the effects of periodic driving forces1
A numerical evaluation of the economic tradeoff of vaccination against chikungunya virus in Brazil1
Sustainable scenarios in a plants–rhizobacteria–plant consumers system are in risk when biotic or abiotic factors change1
A dynamical adaptation model of visual spatiotemporal processing in cones and horizontal cells1
Insights of infected Schwann cells extinction and inherited randomness in a stochastic model of leprosy1
Impact of enzyme turnover on the dynamics of the Michaelis–Menten model1
Sustainable management of predatory fish affected by an Allee effect through marine protected areas and taxation1
Effects of fish–human transmission and different life stages of fish on Clonorchiasis: A novel mathematical model1
A birth–death model to understand bacterial antimicrobial heteroresistance from time-kill curves1
Identifying patterning behavior in a plant infestation of insect pests1
WENDY: Covariance dynamics based gene regulatory network inference1
Efficient and scalable prediction of stochastic reaction–diffusion processes using graph neural networks1
Analysis of the absorption kinetics following dermal exposure to large doses of volatile organic compounds1
Modeling the effects of size-dependent harvesting strategies on the population dynamics of tropical trees1
On the necessity of accounting for age structure in human malaria transmission modeling1
Deficient cell-cell cohesion is linked with lobular localization in simplified models of lobular carcinoma in situ (LCIS)1
Role of non-exponential reversal times in aggregation models of bacterial populations1
A hybrid spatiotemporal model of PCa dynamics and insights into optimal therapeutic strategies1
Unraveling the influence of the objective functional on epidemic optimal control: Insights from the SIR model1
On the anti-quasi-steady-state conditions of enzyme kinetics1
Fractional-order modeling of myocardium structure effects on atrial fibrillation electrograms1
A simple derivation of the mean of the Sackin index of tree balance under the uniform model on rooted binary labeled trees1
Generalized measures of population synchrony1
Random evolutionary dynamics in predator–prey systems yields large, clustered ecosystems1
Competing elastic and viscous gradients determine directional cell migration1
Editorial Board1
Dynamics aspects and bifurcations of a tumor-immune system interaction under stationary immunotherapy1
Network thermodynamics of biological systems: A bond graph approach1
Parameter estimation for closed-loop lumped parameter models of the systemic circulation using synthetic data1
Infection thresholds for two interacting pathogens in a wild animal population1
A topological data analysis study on murine pulmonary arterial trees with pulmonary hypertension1
Editorial Board1
Pairwise and higher-order epistatic effects among somatic cancer mutations across oncogenesis1
In Memory of Edmund John Crampin: Multi-scale and multi-physics phenomena in biology1
0.067528963088989