title: Matlab application for fitting progress curves to the Equilibrium Model

authors: Peterson, Michelle E.

subjects: Equilibrium Model

abstract: The general procedures for carrying out the necessary rate determinations required for accurate determination of the Equilibrium Model parameters, and fitting this data to the mathematical model to generate the parameters, are described in "Peterson, M.E., Daniel, R.M., Danson, M.J. & Eisenthal, R. (2007) The dependence of enzyme activity on temperature: determination and validation of parameters. Biochemical Journal, 402, 331-337". It should be borne in mind that the Equilibrium Model equation contains exponentials of exponentials – quite small deviations from ideal behaviour, or a failure to obtain true Vmax values, may lead to difficulty in obtaining reliable Equilibrium Model parameters.

text: Matlab application for fitting progress curves to the Equilibrium Model The general procedures for carrying out the necessary rate determinations required for accurate determination of the Equilibrium Model parameters, and fitting this data to the mathematical model to generate the parameters, are described in "Peterson, M.E., Daniel, R.M., Danson, M.J. & Eisenthal, R. (2007) The dependence of enzyme activity on temperature: determination and validation of parameters. Biochemical Journal, 402, 331-337". It should be borne in mind that the Equilibrium Model equation contains exponentials of exponentials – quite small deviations from ideal behaviour, or a failure to obtain true Vmax values, may lead to difficulty in obtaining reliable Equilibrium Model parameters.

year: 2010

title: Predictions and simulations of cortical dynamics during natural sleep using a continuum approach

authors: Wilson, Marcus T.

subjects: REM

abstract: In this paper we use a continuum model in two spatial dimensions to study the dynamics of the cortex during natural sleep, including explicitly the effects of two key neuromodulators. The model predicts that a number of states could be available to the cortex. We identify two of these with slow-wave sleep and rapid eye movement (REM) sleep, and focus on the transition between the two. Eigenvalue analysis of the linearized model, together with simulations on a two-dimensional grid, show that a number of oscillatory states exist; the occurrence of these is particularly dependent upon the duration in time of the inhibitory postsynaptic potential. These oscillatory states are similar to the cortical slow oscillation and certain types of seizure. Power spectra are evaluated for different parameter sets and compare favorably with experiment. Grid simulations show that transitions between cortical states (e.g., slow-wave to REM) can be seeded at any point in space by random fluctuations in subcortical input.

text: Predictions and simulations of cortical dynamics during natural sleep using a continuum approach In this paper we use a continuum model in two spatial dimensions to study the dynamics of the cortex during natural sleep, including explicitly the effects of two key neuromodulators. The model predicts that a number of states could be available to the cortex. We identify two of these with slow-wave sleep and rapid eye movement (REM) sleep, and focus on the transition between the two. Eigenvalue analysis of the linearized model, together with simulations on a two-dimensional grid, show that a number of oscillatory states exist; the occurrence of these is particularly dependent upon the duration in time of the inhibitory postsynaptic potential. These oscillatory states are similar to the cortical slow oscillation and certain types of seizure. Power spectra are evaluated for different parameter sets and compare favorably with experiment. Grid simulations show that transitions between cortical states (e.g., slow-wave to REM) can be seeded at any point in space by random fluctuations in subcortical input.

year: 2005

title: The utterance, the body and the law: Seeking an approach to concretizing the sacredness of Maori language

authors: Mika, Carl Te Hira

subjects: Maori language

abstract: In what possible ways does the sacredness of a language have application in an everyday, concrete sense – in a contemporary context? If we want to discuss the sacredness of language, can we conceptualise such sacrality in anything other than an abstracted form? I will consider some places where a proposed sacredness of the Maori language might come to bear, and will particularly question its usage within the process of the law. My primary aim in this article is to conceive of ways, however hypothetical, by which the sacredness within Maori language might be removed from its current role of discursive entity and into the active life of the speaker. Thus Maori language, even in its colonized form, may once more take its own place within the spheres of the practical and the sacred at the same time.

text: The utterance, the body and the law: Seeking an approach to concretizing the sacredness of Maori language In what possible ways does the sacredness of a language have application in an everyday, concrete sense – in a contemporary context? If we want to discuss the sacredness of language, can we conceptualise such sacrality in anything other than an abstracted form? I will consider some places where a proposed sacredness of the Maori language might come to bear, and will particularly question its usage within the process of the law. My primary aim in this article is to conceive of ways, however hypothetical, by which the sacredness within Maori language might be removed from its current role of discursive entity and into the active life of the speaker. Thus Maori language, even in its colonized form, may once more take its own place within the spheres of the practical and the sacred at the same time.

year: 2007