Search Results - "Johnston, Matthew D."

A dynamical framework for modeling fear of infection and frustration with social distancing in COVID-19 spread by Johnston, Matthew D, Pell, Bruce

“…We introduce a novel modeling framework for incorporating fear of infection and frustration with social distancing into disease dynamics. We show that the…”
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A framework for deriving analytic steady states of biochemical reaction networks by Hernandez, Bryan S, Lubenia, Patrick Vincent N, Johnston, Matthew D, Kim, Jae Kyoung

“…The long-term behaviors of biochemical systems are often described by their steady states. Deriving these states directly for complex networks arising from…”
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A data-validated temporary immunity model of COVID-19 spread in Michigan by Pell, Bruce, Johnston, Matthew D., Nelson, Patrick

“…We introduce a distributed-delay differential equation disease spread model for COVID-19 spread. The model explicitly incorporates the population's…”
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A Mathematical Study of COVID-19 Spread by Vaccination Status in Virginia by Johnston, Matthew D., Pell, Bruce, Nelson, Patrick

“…We introduce a novel n-stage vaccination model and corresponding system of differential equations that stratify a population according to their vaccination…”
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A two-strain model of infectious disease spread with asymmetric temporary immunity periods and partial cross-immunity by Johnston, Matthew D., Pell, Bruce, Rubel, David A.

“…We introduce a two-strain model with asymmetric temporary immunity periods and partial cross-immunity. We derive explicit conditions for competitive exclusion…”
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Realizations of kinetic differential equations by Craciun, Gheorghe, Johnston, Matthew D, Szederkényi, Gábor, Tonello, Elisa, Tóth, János, Yu, Polly Y

“…The induced kinetic differential equations of a reaction network endowed with mass action type kinetics is a system of polynomial differential equations. The…”
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Mathematical modeling of cell population dynamics in the colonic crypt and in colorectal cancer by Johnston, Matthew D, Edwards, Carina M, Bodmer, Walter F, Maini, Philip K, Chapman, S. Jonathan

“…Colorectal cancer is initiated in colonic crypts. A succession of genetic mutations or epigenetic changes can lead to homeostasis in the crypt being overcome,…”
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Algorithmic Approach for a Unique Definition of the Next-Generation Matrix by Avram, Florin, Adenane, Rim, Basnarkov, Lasko, Johnston, Matthew D

“…The basic reproduction number R0 is a concept which originated in population dynamics, mathematical epidemiology, and ecology and is closely related to the…”
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Translated Chemical Reaction Networks by Johnston, Matthew D.

“…Many biochemical and industrial applications involve complicated networks of simultaneously occurring chemical reactions. Under the assumption of mass action…”
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Network Translation and Steady-State Properties of Chemical Reaction Systems by Tonello, Elisa, Johnston, Matthew D.

“…Network translation has recently been used to establish steady-state properties of mass action systems by corresponding the given system to a generalized one…”
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Computing Weakly Reversible Deficiency Zero Network Translations Using Elementary Flux Modes by Johnston, Matthew D., Burton, Evan

“…We present a computational method for performing structural translation, which has been studied recently in the context of analyzing the steady states and…”
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Examples of Mathematical Modeling: Tales from the Crypt by Johnston, Matthew D., Edwards, Carina M., Bodmer, Walter F., Maini, Philip K., Chapman, S. Jonathan

“…Mathematical modeling is being increasingly recognized within the biomedical sciences as an important tool that can aid the understanding of biological…”
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A computational approach to extinction events in chemical reaction networks with discrete state spaces by Johnston, Matthew D.

“…•Recent results give conditions for extinction events in reaction networks with discrete state spaces.•The conditions consist of generating a series of systems…”
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A Computational Approach to Steady State Correspondence of Regular and Generalized Mass Action Systems by Johnston, Matthew D.

“…It has been recently observed that the dynamical properties of mass action systems arising from many models of biochemical reaction networks can be…”
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A Deficiency-Based Approach to Parametrizing Positive Equilibria of Biochemical Reaction Systems by Johnston, Matthew D., Müller, Stefan, Pantea, Casian

“…We present conditions which guarantee a parametrization of the set of positive equilibria of a generalized mass-action system. Our main results state that (1)…”
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Conditions for extinction events in chemical reaction networks with discrete state spaces by Johnston, Matthew D., Anderson, David F., Craciun, Gheorghe, Brijder, Robert

“…We study chemical reaction networks with discrete state spaces and present sufficient conditions on the structure of the network that guarantee the system…”
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A computational approach to persistence, permanence, and endotacticity of biochemical reaction systems by Johnston, Matthew D., Pantea, Casian, Donnell, Pete

“…We introduce a mixed-integer linear programming (MILP) framework capable of determining whether a chemical reaction network possesses the property of being…”
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Stochastic analysis of biochemical reaction networks with absolute concentration robustness by Anderson, David F., Enciso, Germán A., Johnston, Matthew D.

“…It has recently been shown that structural conditions on the reaction network, rather than a ‘fine-tuning’ of system parameters, often suffice to impart…”
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On classes of reaction networks and their associated polynomial dynamical systems by Anderson, David F., Brunner, James D., Craciun, Gheorghe, Johnston, Matthew D.

“…In the study of reaction networks and the polynomial dynamical systems that they generate, special classes of networks with important properties have been…”
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Computing weakly reversible linearly conjugate chemical reaction networks with minimal deficiency by Johnston, Matthew D., Siegel, David, Szederkényi, Gábor

“…► Mixed-integer linear programming algorithm derived. ► Capable of determining weakly reversible networks with minimal deficiency. ► We propose an…”
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