Michael Plank
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New Zealand mathematical modeller
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Michael Plankmathematics Degrees
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Mathematics
Michael Plank's Degrees
- PhD Mathematics University of Auckland
- Bachelors Mathematics University of Auckland
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Why Is Michael Plank Influential?
(Suggest an Edit or Addition)According to Wikipedia, Michael John Plank is an English-born professor in mathematics and statistics at the University of Canterbury, and a principal investigator at Te Pūnaha Matatini. Plank's research has focused on mechanistic mathematical and stochastic models and areas of expertise include ecological and social networks, population dynamics, epidemiological models and marine ecosystems. His work has included developing and applying models to the balanced managing of fishing sites, revitalisation of endangered languages and invasive plant and weed impact. As a Co-Lead for Covid-19 Modelling Aotearoa, a research programme established initially under Te Pūnaha Matatini but independent since 2021, he came to prominence as a COVID-19 modeller and frequent commentator in the media during the COVID-19 pandemic in New Zealand. Plank has received several awards in recognition of contributions to the field of applied mathematics, particularly for his explanations of how mathematical modelling can benefit social and ecological environments and concerns.
Michael Plank's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Random walk models in biology (2008) (1198)
- Differential Equations and Mathematical Biology (1983) (284)
- Disentangling nestedness from models of ecological complexity (2012) (200)
- Of mast and mean: differential-temperature cue makes mast seeding insensitive to climate change. (2013) (190)
- Assessing Lévy walks as models of animal foraging (2011) (151)
- Lattice and non-lattice models of tumour angiogenesis (2004) (144)
- On balanced exploitation of marine ecosystems: results from dynamic size spectra (2012) (133)
- A reinforced random walk model of tumour angiogenesis and anti-angiogenic strategies. (2003) (119)
- Size-spectra dynamics from stochastic predation and growth of individuals. (2009) (114)
- Sampling rate and misidentification of Lévy and non-Lévy movement paths. (2009) (102)
- A mathematical model of tumour angiogenesis, regulated by vascular endothelial growth factor and the angiopoietins. (2004) (72)
- Atherosclerosis and calcium signalling in endothelial cells. (2006) (72)
- Optimizing the encounter rate in biological interactions: Ballistic versus Lévy versus Brownian strategies. (2008) (70)
- Models of collective cell behaviour with crowding effects: comparing lattice-based and lattice-free approaches (2012) (66)
- An event-based model of superspreading in epidemics (2007) (64)
- Squaring the circle: reconciling fishing and conservation of aquatic ecosystems (2015) (62)
- Estimated inequities in COVID-19 infection fatality rates by ethnicity for Aotearoa New Zealand (2020) (60)
- Testing and recommending methods for fitting size spectra to data (2017) (58)
- Balanced exploitation and coexistence of interacting, size-structured, fish species (2016) (58)
- Tumour-Induced Angiogenesis: A Review (2003) (53)
- Turn designation, sampling rate and the misidentification of power laws in movement path data using maximum likelihood estimates (2011) (51)
- Fisheries, the inverted food pyramid (2016) (49)
- Endothelial nitric oxide synthase and calcium production in arterial geometries: an integrated fluid mechanics/cell model. (2008) (48)
- The effect of competition on species' distributions depends on coexistence, rather than scale alone (2015) (46)
- Information on Biotic Interactions Improves Transferability of Distribution Models (2014) (46)
- A stability analysis of the power-law steady state of marine size spectra (2010) (43)
- Spatial Point Processes and Moment Dynamics in the Life Sciences: A Parsimonious Derivation and Some Extensions (2015) (39)
- Suppression and Mitigation Strategies for Control of COVID-19 in New Zealand (2020) (38)
- Differentiating the Lévy walk from a composite correlated random walk (2014) (37)
- Ecological drivers of stability and instability in marine ecosystems (2012) (37)
- The Nile perch invasion in Lake Victoria: cause or consequence of the haplochromine decline? (2016) (36)
- Dynamic myogenic autoregulation in the rat kidney: a whole-organ model. (2008) (35)
- Effects of dispersal and stochasticity on the presence–absence of multiple species (2016) (34)
- Efficient or Inaccurate? Analytical and Numerical Modelling of Random Search Strategies (2010) (33)
- Maori and Pacific People in New Zealand have higher risk of hospitalisation for COVID-19 (2020) (33)
- Constructing Random Matrices to Represent Real Ecosystems (2015) (32)
- Inferring parameters for a lattice-free model of cell migration and proliferation using experimental data. (2018) (32)
- A stochastic model for COVID-19 spread and the effects of Alert Level 4 in Aotearoa New Zealand (2020) (31)
- Spatial moment dynamics for collective cell movement incorporating a neighbour-dependent directional bias (2015) (31)
- Worldwide border interceptions provide a window into human-mediated global insect movement. (2021) (30)
- Lévy or not? analysing positional data from animal movement paths (2013) (30)
- The role of endothelial calcium and nitric oxide in the localisation of atherosclerosis. (2007) (28)
- Balanced harvest: concept, policies, evidence, and management implications (2019) (28)
- Lattice-free descriptions of collective motion with crowding and adhesion. (2013) (27)
- Successful contact tracing systems for COVID-19 rely on effective quarantine and isolation (2020) (27)
- Spatial structure arising from neighbour-dependent bias in collective cell movement (2016) (26)
- Evaluating random search strategies in three mammals from distinct feeding guilds. (2016) (26)
- Effects of different dispersal patterns on the presence-absence of multiple species (2018) (25)
- Gender and societies: a grassroots approach to women in science (2019) (25)
- On the growth of locally interacting plants: differential equations for the dynamics of spatial moments. (2013) (25)
- Effects of biotic interactions and dispersal on the presence-absence of multiple species (2017) (24)
- Balanced harvesting can emerge from fishing decisions by individual fishers in a small‐scale fishery (2017) (24)
- Collective Cell Behaviour with Neighbour-Dependent Proliferation, Death and Directional Bias (2016) (23)
- The role of astrocytic calcium and TRPV4 channels in neurovascular coupling (2018) (23)
- Integrated models of neurovascular coupling and BOLD signals: Responses for varying neural activations (2018) (22)
- Effect of Alert Level 4 on effective reproduction number: review of international COVID-19 cases (2020) (21)
- Balanced harvesting could reduce fisheries-induced evolution (2018) (21)
- Capacity to support predators scales with habitat size (2018) (21)
- Importance of Altered Levels of SERCA, IP3R, and RyR in Vascular Smooth Muscle Cell. (2017) (21)
- Managing the risk of a COVID-19 outbreak from border arrivals (2020) (20)
- A nonlinear model of age and size-structured populations with applications to cell cycles (2007) (18)
- A COVID-19 vaccination model for Aotearoa New Zealand (2022) (18)
- The Optimal Fishing Pattern (2016) (17)
- A model of neurovascular coupling and the BOLD response: PART I (2017) (17)
- Mathematical modelling to inform New Zealand’s COVID-19 response (2021) (16)
- Lattice-Free Models of Cell Invasion: Discrete Simulations and Travelling Waves (2013) (15)
- James et al. reply (2013) (15)
- Early intervention is the key to success in COVID-19 control (2020) (14)
- A structured model for COVID-19 spread: modelling age and healthcare inequities (2020) (14)
- On fitting power laws to ecological data (2007) (13)
- Taylor's law and body size in exploited marine ecosystems (2012) (13)
- Considering unseen arrivals in predictions of establishment risk based on border biosecurity interceptions. (2020) (13)
- Spatial Moment Description of Birth–Death–Movement Processes Incorporating the Effects of Crowding and Obstacles (2018) (13)
- Model-free estimation of COVID-19 transmission dynamics from a complete outbreak (2020) (13)
- A mathematical framework for modelling cambial surface evolution using a level set method. (2011) (12)
- A stochastic mathematical model of 4D tumour spheroids with real-time fluorescent cell cycle labelling (2021) (12)
- A Mathematical Model of an In Vitro Experiment to Investigate Endothelial Cell Migration (2002) (11)
- Concentration of blood-borne agonists at the endothelium (2006) (11)
- A model of neurovascular coupling and the BOLD response PART II (2017) (11)
- Accounting for the bin structure of data removes bias when fitting size spectra (2020) (11)
- Pest control at a regional scale: Identifying key criteria using a spatially explicit, agent‐based model (2019) (11)
- Effective reproduction number for COVID-19 in Aotearoa New Zealand (2020) (11)
- Population dynamics with spatial structure and an Allee effect (2020) (11)
- Modeling Secondary Messenger Pathways in Neurovascular Coupling (2013) (11)
- Effects of Arterial Bifurcation Geometry on Nucleotide Concentration at the Endothelium (2006) (10)
- A dynamical model of honeydew droplet production by sooty-beech scale insects (Ultracoelostoma spp.) in New Zealand Nothofagus forest (2007) (10)
- Lattice-free models of directed cell motility (2016) (9)
- Identifying density-dependent interactions in collective cell behaviour (2019) (9)
- Habitat fragmentation: simple models for local persistence and the spread of invasive species. (2012) (9)
- Living in groups: Spatial-moment dynamics with neighbour-biased movements (2020) (9)
- Effect of vaccination, border testing, and quarantine requirements on the risk of COVID-19 in New Zealand: A modelling study (2021) (8)
- Spatial structure arising from chase-escape interactions with crowding (2018) (7)
- Balanced harvesting is the bioeconomic equilibrium of a size‐structured Beverton‐Holt model (2017) (7)
- Massively parallel simulations of neurovascular coupling with extracellular diffusion (2017) (7)
- Modelling biological invasions over homogeneous and inhomogeneous landscapes using level set methods (2008) (7)
- Potential reduction in transmission of COVID-19 by digital contact tracing systems (2020) (7)
- EPIDEMIC DYNAMICS ON RANDOM AND SCALE-FREE NETWORKS (2012) (7)
- Using family network data in child protection services (2019) (6)
- Tree Growth and Wood Formation - Applications of Anisotropic Surface Growth (2006) (6)
- How should fishing mortality be distributed under balanced harvesting? (2018) (6)
- Small-scale spatial structure influences large-scale invasion rates (2019) (6)
- Macro scale modelling of cortical spreading depression and the role of astrocytic gap junctions. (2018) (5)
- Kia kaua te reo e rite ki te moa, ka ngaro: Do not let the language suffer the same fate as the moa (2019) (5)
- Citizen science decisions: A Bayesian approach optimises effort (2021) (5)
- Inferring fishing intensity from contemporary and archaeological size-frequency data (2018) (5)
- Distinguishing between Lévy walks and strong alternative models: comment. (2014) (5)
- Modelling the dynamics of infection, waning of immunity and re-infection with the Omicron variant of SARS-CoV-2 in Aotearoa New Zealand (2022) (5)
- An assessment of the potential impact of the Omicron variant of SARS-CoV-2 in Aotearoa New Zealand (2022) (5)
- Probability of elimination for COVID-19 in Aotearoa New Zealand (2020) (5)
- Modelling Tradescantia fluminensis to assess long term survival (2015) (4)
- Vaccination and testing of the border workforce for COVID-19 and risk of community outbreaks: a modelling study (2021) (3)
- The effects of cerebral curvature on cortical spreading depression. (2019) (3)
- Emergence of balanced harvesting in an agent-based model of an open-access small-scale fishery. (2019) (3)
- Simplified calculation of diffusivity for a lattice-based random walk with a single obstacle (2017) (3)
- Modelling the Early Stages of Atherosclerosis (2007) (3)
- Evolutionarily Stable Strategies for Fecundity and Swimming Speed of Fish (2016) (3)
- Inferring parameters for a lattice-free model of cell migration and proliferation using experimental data (2017) (3)
- EFFECTS OF PREDATOR DIET BREADTH ON STABILITY OF SIZE SPECTRA (2011) (3)
- What unmanaged fishing patterns reveal about optimal management: applied to the balanced harvesting debate (2020) (3)
- Unfinished synchrony (2017) (2)
- Collective cell movement (2014) (2)
- Small-scale spatial structure affects predator-prey dynamics and coexistence (2019) (2)
- Effect of Alert Level 4 on R eff : review of international COVID-19 cases (2020) (2)
- The effect of border controls on the risk of COVID-19 reincursion from international arrivals (2020) (2)
- Commentary: Fishing Without a Trace? Assessing the Balanced Harvest Approach Using EcoTroph (2021) (2)
- Group by subject or by ability? Tertiary mathematics for engineering students (2011) (2)
- Is garden waste dumping really a problem (2010) (2)
- Minimal model of calcium dynamics in two heterogeneous coupled cells (2019) (2)
- Modelling the dynamic response of oxygen uptake to exercise (2009) (2)
- Using mechanistic model-based inference to understand and project epidemic dynamics with time-varying contact and vaccination rates (2022) (2)
- Real-time estimation of the effective reproduction number of SARS-CoV-2 in Aotearoa New Zealand (2022) (1)
- Systems of Linear Ordinary Differential Equations (2009) (1)
- Individual heterogeneity affects the outcome of small mammal pest eradication (2021) (1)
- Economic comparison of the use of Alert Levels 3 and 4 in eliminating the Auckland August outbreak : a cost-effectiveness analysis 21 October 2020 (2020) (1)
- Species‐range‐size distributions: Integrating the effects of speciation, transformation, and extinction (2022) (1)
- Data from: Capacity to support predators scales with habitat size (2018) (1)
- Spatial Point Processes and Moment Dynamics in the Life Sciences: A Parsimonious Derivation and Some Extensions (2014) (1)
- Sensitivity of RT-PCR tests for SARS-CoV-2 through time. (2022) (1)
- Light and shade: modelling the growth of Tradescantia fluminensis (2017) (1)
- Comment on ‘Government mandated lockdowns do not reduce COVID-19 deaths: implications for evaluating the stringent New Zealand response’ (2022) (1)
- Modelling Aotearoa New Zealand's COVID-19 protection framework and the transition away from the elimination strategy (2023) (1)
- Differentiating between the L\'evy and the area-restricted search strategies (2014) (1)
- Asymptotic expansion approximation for spatial structure arising from directionally biased movement (2019) (1)
- Technical report: modelling the potential spread of COVID-19 during the August 2021 outbreak (2021) (1)
- Collective Cell Behaviour with Neighbour-Dependent Proliferation, Death and Directional Bias (2016) (1)
- Potential reduction in transmission of COVID-19 by digital contact tracing systems: a modelling study. (2022) (1)
- Lattice-Free Models of Cell Invasion: Discrete Simulations and Travelling Waves (2013) (0)
- Modern Data Acquisition Approaches in Proteomics Based on Dynamic Instrument Control. (2022) (0)
- Minimising the use of costly control measures in an epidemic elimination strategy: A simple mathematical model (2022) (0)
- Mathematics of Heart Physiology (2009) (0)
- Sensitivity of Reverse Transcription Polymerase Chain Reaction Tests for Severe Acute Respiratory Syndrome Coronavirus 2 Through Time (2022) (0)
- Modelling the impact of the Omicron BA.5 subvariant in New Zealand (2023) (0)
- Review for "Mathematical and simulation methods for deriving extinction thresholds in spatial and stochastic models of interacting agents" (2020) (0)
- Evolutionarily Stable Strategies for Fecundity and Swimming Speed of Fish (2016) (0)
- Spatial Moment Description of Birth–Death–Movement Processes Incorporating the Effects of Crowding and Obstacles (2018) (0)
- Review Article Tumour-induced Angiogenesis: A Review (2003) (0)
- A NONLINEAR MODEL OF SIZE-STRUCTURED POPULATIONS WITH APPLICATIONS TO CELL CYCLES (2014) (0)
- Exploring trade‐offs in mixed fisheries by integrating fleet dynamics into multispecies size‐spectrum models (2021) (0)
- Complicit, but Not the Main Culprit: Nile Perch Was Not the Only Cause of the Haplochromine Collapse in Lake Victoria (2018) (0)
- Fishing for biodiversity by balanced harvesting (2021) (0)
- Modelling Tradescantia fluminensis and the effect of biological control agents. (2010) (0)
- Mathematics of Nerve Impulse Transmission (2009) (0)
- Modelling Biological Phenomena (2009) (0)
- Balanced harvest: concept, policies, evidence, and management implications (2019) (0)
- Growth of Tumours (2009) (0)
- Modeling Secondary Messenger Pathways in Neurovascular Coupling (2013) (0)
- Ecological drivers of stability and instability in marine ecosystems (2011) (0)
- eNOS and Ca2+ production in arterial geometries: An integrated fluid mechanics/cell model (2006) (0)
- Cooperative and non-cooperative behaviour in the exploitation of a common renewable resource with environmental stochasticity (2020) (0)
- Small-scale spatial structure influences large-scale invasion rates (2020) (0)
- Supplementary material from "Gender and societies: a grassroots approach to women in science" (2019) (0)
- Individual heterogeneity affects the outcome of small mammal pest eradication (2021) (0)
- Note: This paper has not yet undergone formal peer review Probability of elimination for COVID-19 in Aotearoa New Zealand (2020) (0)
- PART OF A SPECIAL ISSUE ON FUNCTIONAL-STRUCTURAL PLANT MODELLING A mathematical framework for modelling cambial surface evolution using a level set method (2011) (0)
- Linear Ordinary Differential Equations with Constant Coefficients (2009) (0)
- DYNAMIC MYOGENIC AUTOREGULATION IN THE RAT KIDNEY : A WHOLE-ORGAN MATHEMATICAL MODEL(1D1 Cardiovascular Mechanics I) (2007) (0)
- Establishment risk process-based model 9 10 Considering unseen arrivals in predictions of establishment risk based on border 11 biosecurity interceptions 12 (2020) (0)
- Living in groups: spatial-moment dynamics (2021) (0)
- The role of astrocytic calcium and TRPV4 channels in neurovascular coupling (2017) (0)
- evywalkfromacompositecorrelated random walk (2015) (0)
- pSiteExplorer: Visualization of the mass spectrometric data underlying phospho-site quantification (2021) (0)
- Small-scale spatial structure affects predator-prey dynamics and coexistence (2020) (0)
- Comment: weekly COVID-19 testing with household quarantine and contact tracing is feasible and would probably end the epidemic (2021) (0)
- Problems of Diffusion (2009) (0)
- Limiting Effect of Self-Shading on the Height of Tradescantia fluminensis Mats (2019) (0)
- Regulation of transendothelial low-density lipoprotein transmission by fluid shear stress (2004) (0)
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