title: Passive, fractional, battery equivalent-circuit model in time and frequency domains part 1: Linear model

authors: Farrow, Vance

abstract: Existing time-domain fractional model simulations of batteries are either limited to short time sequences, frequently less than 100 s, if truly fractional or use low order RC-ladder fractional approximations to reduce computational burden. Here we present an entirely-passive, truly fractional, equivalent-circuit model of a battery. We rely on a Reimann-Louiville fractional order differintegral to account for long time-scales out to 12 days. An analytical solution is provided for the differintegral, subject to the constraint of piecewise constant current. We validate our model fitting against a multi-day sequence of measured time domain data and EIS measured to 10 μ Hz. The spectral content of the current waveform is identified as a crucial factor. The full evaluation of fractional elements leads to residual error of voltage waveforms that is amongst the best in the literature despite the model having only five parameters. In the time-domain, a root-mean-square error (RMSE) as low as 2.8 mV is achieved while maintaining a frequency-domain RMSE of 14 % from measured impedance values over a span of 6 decades. The use of time-weighted regression is shown to be important to the time-domain fit.

text: Passive, fractional, battery equivalent-circuit model in time and frequency domains part 1: Linear model Existing time-domain fractional model simulations of batteries are either limited to short time sequences, frequently less than 100 s, if truly fractional or use low order RC-ladder fractional approximations to reduce computational burden. Here we present an entirely-passive, truly fractional, equivalent-circuit model of a battery. We rely on a Reimann-Louiville fractional order differintegral to account for long time-scales out to 12 days. An analytical solution is provided for the differintegral, subject to the constraint of piecewise constant current. We validate our model fitting against a multi-day sequence of measured time domain data and EIS measured to 10 μ Hz. The spectral content of the current waveform is identified as a crucial factor. The full evaluation of fractional elements leads to residual error of voltage waveforms that is amongst the best in the literature despite the model having only five parameters. In the time-domain, a root-mean-square error (RMSE) as low as 2.8 mV is achieved while maintaining a frequency-domain RMSE of 14 % from measured impedance values over a span of 6 decades. The use of time-weighted regression is shown to be important to the time-domain fit.

year: 2024

title: Treatment for depression following mild traumatic brain injury in adults: A meta-analysis

authors: Barker-Collo, Suzanne

subjects: CBT

abstract: Primary objective: Development of depression after TBI is linked to poorer outcomes. The aim of this manuscript is to review evidence for the effectiveness of current treatments.

Research design: Two meta-analyses were undertaken to examine the effectiveness of both pharmacological and non-pharmacological interventions for depression after mild TBI

Method and procedures: PubMed, Medline, PsychInfo, Web of Science and Digital Dissertations were searched and 13 studies located. Meta Analyst Beta 3.13 was used to conduct analyses of pre- vs post-effects then to examine treatment group vs control group effects.

Main outcomes and results: Studies using a pre–post design produced an overall effect size of 1.89 (95% CI = 1.20–2.58, p < 0.001), suggesting that treatments were effective; however, the overall effect for controlled trials was 0.46 (95% CI = −0.44–1.36, p < 0.001), which favoured the control rather than treatment groups.

Conclusions: This study highlights the need for additional large well-controlled trials of effective treatments for depression post-TBI.

text: Treatment for depression following mild traumatic brain injury in adults: A meta-analysis Primary objective: Development of depression after TBI is linked to poorer outcomes. The aim of this manuscript is to review evidence for the effectiveness of current treatments.

Research design: Two meta-analyses were undertaken to examine the effectiveness of both pharmacological and non-pharmacological interventions for depression after mild TBI

Method and procedures: PubMed, Medline, PsychInfo, Web of Science and Digital Dissertations were searched and 13 studies located. Meta Analyst Beta 3.13 was used to conduct analyses of pre- vs post-effects then to examine treatment group vs control group effects.

Main outcomes and results: Studies using a pre–post design produced an overall effect size of 1.89 (95% CI = 1.20–2.58, p < 0.001), suggesting that treatments were effective; however, the overall effect for controlled trials was 0.46 (95% CI = −0.44–1.36, p < 0.001), which favoured the control rather than treatment groups.

Conclusions: This study highlights the need for additional large well-controlled trials of effective treatments for depression post-TBI.

year: 2013

title: Tīaho mai

authors: Maxwell, Te Kahautu

abstract: Waiata ā Ringa (action song). Lyrics composed by Te Kahautu Maxwell. Performed by Ōpōtiki Mai Tawhiti (Kapa Haka group)

text: Tīaho mai Waiata ā Ringa (action song). Lyrics composed by Te Kahautu Maxwell. Performed by Ōpōtiki Mai Tawhiti (Kapa Haka group)

year: 2024