title: On a Neural Phonon Model of EEG Brain Dynamics

authors: Head, Mitchell

subjects: Brain

abstract: Neuronal oscillations are a ubiquitous feature of brain activity, indexing functions from sensory selection to memory formation. Yet a unified framework that (i) accommodates the nonlinear, noise-driven nature of cortical dynamics and (ii) explains standard empirical measures—power, spectral entropy, coherence, Phase-Locking Value (PLV), Phase-Amplitude Coupling (PAC), and envelope correlations—remains elusive. A natural candidate is the noisy Stuart–Landau (SL) oscillator,
whose deterministic form models cortical rhythms as limit cycles, while additive noise induces stochastic phase and amplitude fluctuations. Prior work has shown that networks of SL oscillators can replicate burst statistics, multistability, and cross-frequency modulation in electroencephalography/magnetoencephalography (EEG/MEG). However, an analytical framework linking these models directly to observed connectivity metrics has been lacking. Here we derive such a framework by mapping the Fokker–Planck equation (FPE) of each SL oscillator to an imaginary-time Schrödinger operator
via a classical similarity transform. A second-order expansion around the limit-cycle amplitude yields a quadratic Hamiltonian whose ladder operators describe quantised fluctuations—neural phonons—in oscillatory power. Bilinear coupling terms inherited from diffusion give rise to analytically diagonalisable bosonic interactions. This construction yields closed-form expressions for spectral observables and their dynamics, including Green-function-derived coherence and
PLV, perturbative PAC, and a five-parameter “personality map” linking microscopic physics to macroscopic brain states. By unifying noisy limit-cycle theory with operator methods from statistical physics, we introduce a tractable, interpretable formalism for understanding neural coherence as the dynamics of quantised phonons.

text: On a Neural Phonon Model of EEG Brain Dynamics Neuronal oscillations are a ubiquitous feature of brain activity, indexing functions from sensory selection to memory formation. Yet a unified framework that (i) accommodates the nonlinear, noise-driven nature of cortical dynamics and (ii) explains standard empirical measures—power, spectral entropy, coherence, Phase-Locking Value (PLV), Phase-Amplitude Coupling (PAC), and envelope correlations—remains elusive. A natural candidate is the noisy Stuart–Landau (SL) oscillator,
whose deterministic form models cortical rhythms as limit cycles, while additive noise induces stochastic phase and amplitude fluctuations. Prior work has shown that networks of SL oscillators can replicate burst statistics, multistability, and cross-frequency modulation in electroencephalography/magnetoencephalography (EEG/MEG). However, an analytical framework linking these models directly to observed connectivity metrics has been lacking. Here we derive such a framework by mapping the Fokker–Planck equation (FPE) of each SL oscillator to an imaginary-time Schrödinger operator
via a classical similarity transform. A second-order expansion around the limit-cycle amplitude yields a quadratic Hamiltonian whose ladder operators describe quantised fluctuations—neural phonons—in oscillatory power. Bilinear coupling terms inherited from diffusion give rise to analytically diagonalisable bosonic interactions. This construction yields closed-form expressions for spectral observables and their dynamics, including Green-function-derived coherence and
PLV, perturbative PAC, and a five-parameter “personality map” linking microscopic physics to macroscopic brain states. By unifying noisy limit-cycle theory with operator methods from statistical physics, we introduce a tractable, interpretable formalism for understanding neural coherence as the dynamics of quantised phonons.

year: 2026-03-16

title: Preformulation and Formulation of Steroids and Assessment of an Electronically Modulated Intravaginal Device for Induced Calving or Oestrous synchronization of Cattle.

authors: Ismail, Ali Abdi

subjects: steroids

abstract: Drug delivery technology is currently advancing faster than at any time in biotechnology history. The challenge of drug delivery is to achieve a controlled release of therapeutic agents over an extended period. Controlled release potentially offers significant advantages over conventional dosage forms, by eliminating both under- and overdosing while maintaining a desired range of drug concentrations. An existing drug regimen for induced calving produces a declining blood profile that does not mimic the naturally occurring, gradually increasing, cortisol blood level around parturition effectively, causing animal health issues.  Likewise, while the existing progesterone controlled release systems for oestrous control successfully synchronise oestrus, it is however, associated with reduced fertility and as such other drugs have to be administered to improve the fertility during oestrus. Therefore, there is a need for a drug delivery system that is capable of delivering multiple drugs at various times and patterns. This research aimed to investigate, characterize, identify steroids with high absorption rates through vaginal mucosa and evaluate the potential of an electronic drug delivery system for the delivery of steroids for either the control of the bovine oestrous cycle or induced calving.
In order to identify steroids with high absorption rates across the vaginal mucosa, an in vitro permeation method was developed to screen selected steroids for their ability to permeate artificial and biological membranes. The steroids were pre-formulated to enhance their solubility and permeation through these membranes. Analytical UV and HPLC assays to characterise the pure and formulated steroidal compounds were also developed and validated. An assessment of an intravaginal Electronically Modulated Intravaginal Device (EMID) for the control of the bovine oestrous cycle or induced calving was carried out. Five different release assessment methods were investigated and critically evaluated in order to identify the most appropriate release assessment method for the EMID. These were: 1) the Drug Dissolution Test, 2) a weight loss method, 3) the dispensed weight method, 4) the determination of piston travel distance method, and 5) the rod expulsion from the EMID method. The methods investigated were critically evaluated in terms of ease of use and automation, reproducibility and cost/time savings. Optimisation of various components and construction materials of the EMID were also investigated. Animal trials were carried out using the original EMID (manufactured from polypropylene polymer) and modified inserts (manufactured from high density polyethylene polymer) to determine their retention rate in the animals. Accelerated stability testing of progesterone in suspension, oestradiol-17 tablets, cloprostenol as a powder blend and the driving mechanism of the EMID were examined.
The flux of the steroids was evaluated through poly-&-caprolactone and excised cow mucosa membranes using side-by-side permeation cells. 
Results indicated that progesterone followed by dexamethasone acetate and dexamethasone valerate showed higher permeability values through vaginal mucosa compared to dexamethasone or its other analogues. The weight loss method of the EMID proved to be an easy and appropriate method to measure the release rate from the EMID. A high density polyethylene polymer was identified as the most ideal body material for the insert compared to polypropylene body. Also double O-ring silicone, Elastollan WYO 1388-5 and solid silicone pistons were found to be amongst the best pistons tested and all performed well compared to other piston materials. There was a low retention rate with either the original EMID or the modified inserts. Further modification of retention wings of the EMID did not improve the retention rate, but a good blood profile response was obtained from cows treated with the complete EMID containing formulated progesterone. The formulations and driving mechanism were found to be stable under the tested conditions.  
Therefore, the EMID has potential for commercial application of induced calving or oestrous control per vaginum administration, reliant on improvement of its retention mechanism.

text: Preformulation and Formulation of Steroids and Assessment of an Electronically Modulated Intravaginal Device for Induced Calving or Oestrous synchronization of Cattle. Drug delivery technology is currently advancing faster than at any time in biotechnology history. The challenge of drug delivery is to achieve a controlled release of therapeutic agents over an extended period. Controlled release potentially offers significant advantages over conventional dosage forms, by eliminating both under- and overdosing while maintaining a desired range of drug concentrations. An existing drug regimen for induced calving produces a declining blood profile that does not mimic the naturally occurring, gradually increasing, cortisol blood level around parturition effectively, causing animal health issues.  Likewise, while the existing progesterone controlled release systems for oestrous control successfully synchronise oestrus, it is however, associated with reduced fertility and as such other drugs have to be administered to improve the fertility during oestrus. Therefore, there is a need for a drug delivery system that is capable of delivering multiple drugs at various times and patterns. This research aimed to investigate, characterize, identify steroids with high absorption rates through vaginal mucosa and evaluate the potential of an electronic drug delivery system for the delivery of steroids for either the control of the bovine oestrous cycle or induced calving.
In order to identify steroids with high absorption rates across the vaginal mucosa, an in vitro permeation method was developed to screen selected steroids for their ability to permeate artificial and biological membranes. The steroids were pre-formulated to enhance their solubility and permeation through these membranes. Analytical UV and HPLC assays to characterise the pure and formulated steroidal compounds were also developed and validated. An assessment of an intravaginal Electronically Modulated Intravaginal Device (EMID) for the control of the bovine oestrous cycle or induced calving was carried out. Five different release assessment methods were investigated and critically evaluated in order to identify the most appropriate release assessment method for the EMID. These were: 1) the Drug Dissolution Test, 2) a weight loss method, 3) the dispensed weight method, 4) the determination of piston travel distance method, and 5) the rod expulsion from the EMID method. The methods investigated were critically evaluated in terms of ease of use and automation, reproducibility and cost/time savings. Optimisation of various components and construction materials of the EMID were also investigated. Animal trials were carried out using the original EMID (manufactured from polypropylene polymer) and modified inserts (manufactured from high density polyethylene polymer) to determine their retention rate in the animals. Accelerated stability testing of progesterone in suspension, oestradiol-17 tablets, cloprostenol as a powder blend and the driving mechanism of the EMID were examined.
The flux of the steroids was evaluated through poly-&-caprolactone and excised cow mucosa membranes using side-by-side permeation cells. 
Results indicated that progesterone followed by dexamethasone acetate and dexamethasone valerate showed higher permeability values through vaginal mucosa compared to dexamethasone or its other analogues. The weight loss method of the EMID proved to be an easy and appropriate method to measure the release rate from the EMID. A high density polyethylene polymer was identified as the most ideal body material for the insert compared to polypropylene body. Also double O-ring silicone, Elastollan WYO 1388-5 and solid silicone pistons were found to be amongst the best pistons tested and all performed well compared to other piston materials. There was a low retention rate with either the original EMID or the modified inserts. Further modification of retention wings of the EMID did not improve the retention rate, but a good blood profile response was obtained from cows treated with the complete EMID containing formulated progesterone. The formulations and driving mechanism were found to be stable under the tested conditions.  
Therefore, the EMID has potential for commercial application of induced calving or oestrous control per vaginum administration, reliant on improvement of its retention mechanism.

year: 2007

title: Investigating commentary on the fifth labour-led government’s third way approach

authors: Piercy, Gemma Louise

abstract: After the 1999 election of a Labour-led coalition government in Aotearoa New Zealand, a raft of policy reforms adopted characteristics of the ‘Third Way’ ideology promoted by Anthony Giddens. We argue, however, that Third Way characteristics were not implemented in Aotearoa New Zealand without attracting criticism. This article reviews academic analysis and wider commentary on the Third Way in Aotearoa New Zealand, much of which particularly focused on social policy reforms made by the Labour-led coalition government (1999-2008). We have used this literature to identify the varied ways in which the Third Way was defined and the extent to which Third Way ideology was considered to have influenced policy and practice the Aotearoa New Zealand context. Our semi-systematic literature review shows that many commentators argued that New Zealand did indeed implement a policy platform consistent with Third Way ideological characteristics but these were also adapted to the unique context of Aotearoa New Zealand. We explore in detail two key examples of adaptation di scussed in the literature: the Labour-led government’s early focus on reducing inequalities between Māori and non-Māori and on renewing civil society through subsidiarity and a partnership approach.

text: Investigating commentary on the fifth labour-led government’s third way approach After the 1999 election of a Labour-led coalition government in Aotearoa New Zealand, a raft of policy reforms adopted characteristics of the ‘Third Way’ ideology promoted by Anthony Giddens. We argue, however, that Third Way characteristics were not implemented in Aotearoa New Zealand without attracting criticism. This article reviews academic analysis and wider commentary on the Third Way in Aotearoa New Zealand, much of which particularly focused on social policy reforms made by the Labour-led coalition government (1999-2008). We have used this literature to identify the varied ways in which the Third Way was defined and the extent to which Third Way ideology was considered to have influenced policy and practice the Aotearoa New Zealand context. Our semi-systematic literature review shows that many commentators argued that New Zealand did indeed implement a policy platform consistent with Third Way ideological characteristics but these were also adapted to the unique context of Aotearoa New Zealand. We explore in detail two key examples of adaptation di scussed in the literature: the Labour-led government’s early focus on reducing inequalities between Māori and non-Māori and on renewing civil society through subsidiarity and a partnership approach.

year: 2017