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List of works by Michael Plank

A mathematical framework for modelling cambial surface evolution using a level set method

scientific article

A mathematical model of tumour angiogenesis, regulated by vascular endothelial growth factor and the angiopoietins

scientific article published in August 2004

A model of neurovascular coupling and the BOLD response PART II.

scientific article published on 11 November 2016

A model of neurovascular coupling and the BOLD response: PART I

scientific article published on 11 November 2016

A stability analysis of the power-law steady state of marine size spectra

scientific article published on 14 December 2010

A stochastic model for COVID-19 spread and the effects of Alert Level 4 in Aotearoa New Zealand

scientific article published on 11 April 2020

A structured model for COVID-19 spread: modelling age and healthcare inequities

scientific article published on 21 May 2020

A tissue based chemical proteomics screen to identify novel G-kinase associated proteins (GKAPs)

article published in 2013

An event-based model of superspreading in epidemics

scientific article published in March 2007

Assessing Lévy walks as models of animal foraging

scientific article

Atherosclerosis and calcium signalling in endothelial cells

scientific article

Balanced exploitation and coexistence of interacting, size-structured, fish species

scholarly article

Balanced harvesting can emerge from fishing decisions by individual fishers in a small-scale fishery

scholarly article

Balanced harvesting could reduce fisheries-induced evolution

scholarly article

Capacity to support predators scales with habitat size.

scientific article

Cell based models of tumour angiogenesis

doctoral thesis

Citizen science decisions: A Bayesian approach optimises effort

scientific article published in 2021

Collective Cell Behaviour with Neighbour-Dependent Proliferation, Death and Directional Bias

scientific article published on 19 October 2016

Comment: weekly COVID-19 testing with household quarantine and contact tracing is feasible and would probably end the epidemic

scientific article published in June 2021

Concentration of blood-borne agonists at the endothelium

scholarly article

Considering unseen arrivals in predictions of establishment risk based on border biosecurity interceptions

scientific article published on 10 June 2020

Constructing random matrices to represent real ecosystems

scientific article published on 11 March 2015

Cooperative and non-cooperative behaviour in the exploitation of a common renewable resource with environmental stochasticity

Detectability of ten invasive mammal pests in New Zealand: a synthesis of spatial detection parameters

scientific article published on 16 November 2023

Differentiating the Lévy walk from a composite correlated random walk ⬇️

scholarly article

Disentangling nestedness from models of ecological complexity

scientific article

Distinguishing between Lévy walks and strong alternative models: comment

scientific article published in April 2014

Dynamic myogenic autoregulation in the rat kidney: a whole-organ model.

scientific article published on 19 March 2008

Early intervention is the key to success in COVID-19 control

Early intervention is the key to success in COVID-19 control

scientific article published in November 2021

Effect of Alert Level 4 on effective reproduction number: review of international COVID-19 cases

scientific article published on 06 May 2020

Effective reproduction number for COVID-19 in Aotearoa New Zealand

Effects of arterial bifurcation geometry on nucleotide concentration at the endothelium

scientific article published on 28 March 2006

Effects of biotic interactions and dispersal on the presence-absence of multiple species

scholarly article

Effects of different dispersal patterns on the presence-absence of multiple species

article

Effects of dispersal and stochasticity on the presence–absence of multiple species

article

Efficient or inaccurate? Analytical and numerical modelling of random search strategies

scientific article published on 14 November 2009

Emergence of balanced harvesting in an agent-based model of an open-access small-scale fishery

scientific article published on 30 August 2019

Endothelial nitric oxide synthase and calcium production in arterial geometries: an integrated fluid mechanics/cell model

scientific article

Estimated inequities in COVID-19 infection fatality rates by ethnicity for Aotearoa New Zealand

scientific article published on 25 April 2020

Estimated inequities in COVID-19 infection fatality rates by ethnicity for Aotearoa New Zealand

scientific article published on 4 September 2020

Evaluating random search strategies in three mammals from distinct feeding guilds

scientific article published on 29 June 2016

Evolutionarily Stable Strategies for Fecundity and Swimming Speed of Fish

scientific article published on 27 January 2016

Fisheries, the inverted food pyramid

scholarly article

Gender and societies: a grassroots approach to women in science

scientific article published on 04 September 2019

Genome-environment interactions that modulate aging: powerful targets for drug discovery

scientific article

Group by subject or by ability? Tertiary mathematics for engineering students

article by Michael Plank et al published 15 October 2011 in International Journal of Mathematical Education in Science and Technology

Habitat fragmentation: Simple models for local persistence and the spread of invasive species ⬇️

scientific article published on July 10, 2012

How should fishing mortality be distributed under balanced harvesting?

scholarly article

Huntingtin-associated protein 1 (HAP1) is a cGMP-dependent kinase anchoring protein (GKAP) specific for the cGMP-dependent protein kinase Iβ isoform.

scientific article

Identifying density-dependent interactions in collective cell behaviour

scientific article published on 29 April 2020

Importance of Altered Levels of SERCA, IP3R, and RyR in Vascular Smooth Muscle Cell

scientific article published in January 2017

Improving estimates of epidemiological quantities by combining reported cases with wastewater data: a statistical framework with applications to COVID-19 in Aotearoa New Zealand

Inferring parameters for a lattice-free model of cell migration and proliferation using experimental data

scientific article

Information on biotic interactions improves transferability of distribution models

scientific article published on 22 December 2014

Integrated models of neurovascular coupling and BOLD signals: Responses for varying neural activations

scientific article published on 8 March 2018

James et al. reply

scientific article published in August 2013

Kia kaua te reo e rite ki te moa, ka ngaro: Do not let the language suffer the same fate as the moa

Kia kaua te reo e rite ki te moa, ka ngaro: do not let the language suffer the same fate as the moa

scientific article published on 08 January 2020

Lattice and non-lattice models of tumour angiogenesis

scientific article published in November 2004

Lattice-free descriptions of collective motion with crowding and adhesion

scientific article published on 23 December 2013

Lattice-free models of cell invasion: discrete simulations and travelling waves

scientific article published on 17 August 2013

Limiting Effect of Self-Shading on the Height of Tradescantia fluminensis Mats

scientific article published on 22 June 2019

Lévy or Not? Analysing Positional Data from Animal Movement Paths

scholarly article

Macro scale modelling of cortical spreading depression and the role of astrocytic gap junctions

scientific article published on 08 September 2018

Managing the risk of a COVID-19 outbreak from border arrivals

Managing the risk of a COVID-19 outbreak from border arrivals

scientific article published in April 2021

Massively parallel simulations of neurovascular coupling with extracellular diffusion

scholarly article

Mathematical modelling to inform New Zealand’s COVID-19 response

article published in February 2021

Minimal model of calcium dynamics in two heterogeneous coupled cells

article

Model-free estimation of COVID-19 transmission dynamics from a complete outbreak

Model-free estimation of COVID-19 transmission dynamics from a complete outbreak

scientific article published on 24 March 2021

Modeling secondary messenger pathways in neurovascular coupling

scientific article published on 29 January 2013

Modelling Aotearoa New Zealand's COVID-19 protection framework and the transition away from the elimination strategy

scientific article published in February 2023

Modelling Tradescantia fluminensis to assess long term survival ⬇️

scientific article published on 11 June 2015

Modelling biological invasions over homogeneous and inhomogeneous landscapes using level set methods

Modelling the Early Stages of Atherosclerosis

scholarly article

Modelling the impact of the Omicron BA.5 subvariant in New Zealand

scientific article published in February 2023

Models of collective cell behaviour with crowding effects: comparing lattice-based and lattice-free approaches ⬇️

scientific article published on June 13, 2012

Māori and Pacific People in New Zealand have higher risk of hospitalisation for COVID-19

Near-term forecasting of Covid-19 cases and hospitalisations in Aotearoa New Zealand

scientific article published on 8 January 2024

Of mast and mean: differential-temperature cue makes mast seeding insensitive to climate change

scientific article published in November 2012

On the growth of locally interacting plants: differential equations for the dynamics of spatial moments.

scientific article published in December 2013

Optimal foraging: Lévy pattern or process?

scientific article published on September 2008

Optimizing the encounter rate in biological interactions: Ballistic versus Lévy versus Brownian strategies

scientific article published on 26 November 2008

Population dynamics with spatial structure and an Allee effect

scientific article published on 21 October 2020

Potential reduction in transmission of COVID-19 by digital contact tracing systems: a modelling study

scientific article published in 2022

Potential reduction in transmission of COVID-19 by digital contact tracing systems: a modelling study

Probability of elimination for COVID-19 in Aotearoa New Zealand

Random walk models in biology

scientific article published on August 2008

Sampling rate and misidentification of Lévy and non-Lévy movement paths

scientific article published in December 2009

Sensitivity of Reverse Transcription Polymerase Chain Reaction Tests for Severe Acute Respiratory Syndrome Coronavirus 2 Through Time

scientific article published on 25 July 2022

Size-spectra dynamics from stochastic predation and growth of individuals

scientific article published in March 2009

Small-scale spatial structure influences large-scale invasion rates

scientific article published in 2020

Spatial Moment Description of Birth–Death–Movement Processes Incorporating the Effects of Crowding and Obstacles

scientific article published on 10 August 2018

Spatial moment dynamics for collective cell movement incorporating a neighbour-dependent directional bias

scientific article

Spatial point processes and moment dynamics in the life sciences: a parsimonious derivation and some extensions.

scientific article published on 13 September 2014

Spatial structure arising from chase-escape interactions with crowding

scientific article published on 18 October 2019

Spatial structure arising from neighbour-dependent bias in collective cell movement

scientific article published on 15 February 2016

Species‐range‐size distributions: Integrating the effects of speciation, transformation, and extinction

scientific article published in 2022

Squaring the circle: reconciling fishing and conservation of aquatic ecosystems

scholarly article

Suppression and Mitigation Strategies for Control of COVID-19 in New Zealand

scientific article published on 30 March 2020

THE ROLE OF THE MATHEMATICAL SCIENCES IN SUPPORTING THE COVID-19 RESPONSE IN AUSTRALIA AND NEW ZEALAND

scientific article published in October 2022

Taylor's law and body size in exploited marine ecosystems

scientific article published on 15 November 2012

The Nile perch invasion in Lake Victoria: cause or consequence of the haplochromine decline?

article

The effect of competition on species' distributions depends on coexistence, rather than scale alone

article

The effects of cerebral curvature on cortical spreading depression

scientific article published on 09 April 2019

The impact of Covid-19 vaccination in Aotearoa New Zealand: A modelling study

scholarly article

The optimal fishing pattern

scholarly article

The role of astrocytic calcium and TRPV4 channels in neurovascular coupling.

scientific article published on 20 November 2017

The role of endothelial calcium and nitric oxide in the localisation of atherosclerosis

scientific article published on 5 September 2006

The role of the angiopoietins in tumour angiogenesis.

scientific article published on March 2004

Turn designation, sampling rate and the misidentification of power laws in movement path data using maximum likelihood estimates

article

Unfinished synchrony

scientific article

Using family network data in child protection services

scientific article published on 29 October 2019

Worldwide border interceptions provide a window into human‐mediated global insect movement

scientific article published on 13 July 2021

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