Zach Walsh
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View article: Turán densities for matroid basis hypergraphs
Turán densities for matroid basis hypergraphs Open
Let $U$ be a uniform matroid. For all positive integers $n$ and $r$ with $n \ge r$, what is the maximum number of bases of an $n$-element, rank-$r$ matroid without $U$ as a minor? We show that this question arises by restricting the proble…
View article: “This is you teaching you:” Exploring providers’ perspectives on experiential learning and enhancing patient safety and outcomes in ketamine-assisted therapy
“This is you teaching you:” Exploring providers’ perspectives on experiential learning and enhancing patient safety and outcomes in ketamine-assisted therapy Open
Objectives This study explores therapists’ perspectives on experiential learning, competencies, and training in ketamine-assisted therapy (KAT), a form of psychedelic-assisted therapy (PAT). We aim to understand how therapists’ personal ps…
View article: Retraction Note: MDMA-assisted psychotherapy for treatment of PTSD: study design and rationale for phase 3 trials based on pooled analysis of six phase 2 randomized controlled trials
Retraction Note: MDMA-assisted psychotherapy for treatment of PTSD: study design and rationale for phase 3 trials based on pooled analysis of six phase 2 randomized controlled trials Open
View article: The foundation of generalized parallel connections, 2-sums, and segment-cosegment exchanges of matroids
The foundation of generalized parallel connections, 2-sums, and segment-cosegment exchanges of matroids Open
We show that, under suitable hypotheses, the foundation of a generalized parallel connection of matroids is the relative tensor product of the foundations. Using this result, we show that the foundation of a 2-sum of matroids is the absolu…
View article: Matroid Lifts and Representability
Matroid Lifts and Representability Open
A 1965 result of Crapo shows that every elementary lift of a matroid $M$ can be constructed from a linear class of circuits of $M$. In a recent paper, Walsh generalized this construction by defining a rank-$k$ lift of a matroid $M$ given a…
View article: Physician perspectives on chronic pain management: barriers and the use of eHealth in the COVID-19 era
Physician perspectives on chronic pain management: barriers and the use of eHealth in the COVID-19 era Open
View article: Dense circuit graphs and the planar Turán number of a cycle
Dense circuit graphs and the planar Turán number of a cycle Open
The $\textit{planar Turán number}$ $\textrm{ex}_{\mathcal P}(n,H)$ of a graph $H$ is the maximum number of edges in an $n$-vertex planar graph without $H$ as a subgraph. Let $C_k$ denote the cycle of length $k$. The planar Turán number $\t…
View article: Stigma‐related barriers to medical cannabis as harm reduction for substance use disorder: Obstacles and opportunities for improvement
Stigma‐related barriers to medical cannabis as harm reduction for substance use disorder: Obstacles and opportunities for improvement Open
Emerging evidence on substituting cannabis for more harmful drugs has led to cannabis becoming a novel harm‐reduction strategy for combating the current drug poisoning crisis. However, the authorization of medical cannabis as part of a har…
View article: Cannabis use to manage stimulant cravings among people who use unregulated drugs
Cannabis use to manage stimulant cravings among people who use unregulated drugs Open
View article: A small clinical trial of vaporized cannabis for PTSD: suggestive results and directions for future study
A small clinical trial of vaporized cannabis for PTSD: suggestive results and directions for future study Open
View article: Cannabis use to manage opioid cravings among people who use unregulated opioids during a drug toxicity crisis
Cannabis use to manage opioid cravings among people who use unregulated opioids during a drug toxicity crisis Open
View article: Why a distinct medical stream is necessary to support patients using cannabis for medical purposes
Why a distinct medical stream is necessary to support patients using cannabis for medical purposes Open
View article: Cannabidiol as a Harm Reduction Strategy for People Who Use Drugs: A Rapid Review
Cannabidiol as a Harm Reduction Strategy for People Who Use Drugs: A Rapid Review Open
Objective The drug poisoning crisis throughout North America necessitates novel harm reduction approaches. Emerging evidence suggests that cannabidiol (CBD) may have some utility as a harm reduction modality for those with problematic subs…
View article: Planar Turán number of the 7-cycle
Planar Turán number of the 7-cycle Open
The $\textit{planar Turán number}$ $\textrm{ex}_{\mathcal P}(n,H)$ of a graph $H$ is the maximum number of edges in an $n$-vertex planar graph without $H$ as a subgraph. Let $C_{\ell}$ denote the cycle of length $\ell$. The planar Turán nu…
View article: “The Box Has Become an Indispensable Part of My Life”: A Case Study of Victoria Cannabis Buyers Club and its Consumption Space
“The Box Has Become an Indispensable Part of My Life”: A Case Study of Victoria Cannabis Buyers Club and its Consumption Space Open
Community-based models of cannabis cultivation, distribution, and consumption—such as cannabis clubs—have been documented across Europe, North America, South America, and New Zealand since the 1990s. For the most part, these models have a …
View article: Matroid lifts and representability
Matroid lifts and representability Open
A 1965 result of Crapo shows that every elementary lift of a matroid $M$ can be constructed from a linear class of circuits of $M$. In a recent paper, Walsh generalized this construction by defining a rank-$k$ lift of a matroid $M$ given a…
View article: Clinical Practice Guidelines for Cannabis and Cannabinoid-Based Medicines in the Management of Chronic Pain and Co-Occurring Conditions
Clinical Practice Guidelines for Cannabis and Cannabinoid-Based Medicines in the Management of Chronic Pain and Co-Occurring Conditions Open
Background: One in five individuals live with chronic pain globally, which often co-occurs with sleep problems, anxiety, depression, and substance use disorders. Although these conditions are commonly managed with cannabinoid-based …
View article: A Pilot Study Comparing a Community of Practice Group Therapy Program with and without Concurrent Ketamine-assisted Therapy
A Pilot Study Comparing a Community of Practice Group Therapy Program with and without Concurrent Ketamine-assisted Therapy Open
Introduction Healthcare practitioners (HCPs) are facing a mental health crisis. Group therapies have long been used to treat symptoms associated with PTSD, anxiety and/or depression, however no studies have investigated the role of impleme…
View article: Safety and Tolerability of Intramuscular and Sublingual Ketamine for Psychiatric Treatment in the Roots to Thrive Ketamine Assisted Therapy Program
Safety and Tolerability of Intramuscular and Sublingual Ketamine for Psychiatric Treatment in the Roots to Thrive Ketamine Assisted Therapy Program Open
Introduction Ketamine has been increasingly used to treat mental health conditions yet there is a lack of safety data on intramuscular (IM) and sublingual (SL) dosing in a community setting. The Roots to Thrive Ketamine assisted Therapy (R…
View article: Correlations of kratom (Mitragyna speciosa Korth.) use behavior and psychiatric conditions from a cross-sectional survey.
Correlations of kratom (Mitragyna speciosa Korth.) use behavior and psychiatric conditions from a cross-sectional survey. Open
Kratom (Mitragyna speciosa Korth.) use has increased substantially over the past decade outside of its indigenous regions, especially for the self-treatment of psychiatric conditions. An anonymous, cross-sectional, online survey was…
View article: Safety and tolerability of intramuscular and sublingual ketamine for psychiatric treatment in the Roots To Thrive ketamine-assisted therapy program: a retrospective chart review
Safety and tolerability of intramuscular and sublingual ketamine for psychiatric treatment in the Roots To Thrive ketamine-assisted therapy program: a retrospective chart review Open
Background: In the last few years, ketamine is becoming increasingly common in the treatment of mental health conditions, but there is a lack of safety data informing intramuscular and sublingual dosing in a community-focused group psychot…
View article: On the column number and forbidden submatrices for $Δ$-modular matrices
On the column number and forbidden submatrices for $Δ$-modular matrices Open
An integer matrix $\mathbf{A}$ is $Δ$-modular if the determinant of each $\text{rank}(\mathbf{A}) \times \text{rank}(\mathbf{A})$ submatrix of $\mathbf{A}$ has absolute value at most $Δ$. The study of $Δ$-modular matrices appears in the th…
View article: Physician Perspectives on Chronic Pain Management: Barriers, Needs, and the Use of eHealth in the COVID-19 Era
Physician Perspectives on Chronic Pain Management: Barriers, Needs, and the Use of eHealth in the COVID-19 Era Open
Background Chronic pain is a highly prevalent and disabling condition which is often undertreated and poorly managed in the community. The emergence of COVID-19 has further complicated pain care, with an increased prevalence of chronic pai…
View article: Correlations of Kratom (Mitragyna speciosa Korth.) Use Behavior and Psychiatric Conditions from a cross-sectional survey
Correlations of Kratom (Mitragyna speciosa Korth.) Use Behavior and Psychiatric Conditions from a cross-sectional survey Open
Kratom (Mitragyna speciosa Korth.) use has increased substantially over the past decade outside of its indigenous regions, especially for the self-treatment of psychiatric conditions. An anonymous, cross-sectional, online survey was comple…
View article: Methadone Dose, Cannabis Use, and Treatment Retention: Findings From a Community-based Sample of People Who Use Unregulated Drugs
Methadone Dose, Cannabis Use, and Treatment Retention: Findings From a Community-based Sample of People Who Use Unregulated Drugs Open
Objectives Lower daily methadone dose is negatively associated with retention in methadone maintenance treatment (MMT). Cannabis use during MMT is common, with many patients reporting its use for opioid withdrawal mitigation. We sought to …
View article: Author Correction: Psilocybin microdosers demonstrate greater observed improvements in mood and mental health at one month relative to non-microdosing controls
Author Correction: Psilocybin microdosers demonstrate greater observed improvements in mood and mental health at one month relative to non-microdosing controls Open
View article: Psilocybin microdosers demonstrate greater observed improvements in mood and mental health at one month relative to non-microdosing controls
Psilocybin microdosers demonstrate greater observed improvements in mood and mental health at one month relative to non-microdosing controls Open
View article: Ketamine for the treatment of mental health and substance use disorders: comprehensive systematic review – CORRIGENDUM
Ketamine for the treatment of mental health and substance use disorders: comprehensive systematic review – CORRIGENDUM Open
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View article: Ketamine for the treatment of mental health and substance use disorders: comprehensive systematic review
Ketamine for the treatment of mental health and substance use disorders: comprehensive systematic review Open
Background In the past two decades, subanaesthetic doses of ketamine have been demonstrated to have rapid and sustained antidepressant effects, and accumulating research has demonstrated ketamine's therapeutic effects for a range of psychi…
View article: The Cannabis-Dependent Relationship Between Methadone Treatment Dose and Illicit Opioid Use in a Community-Based Cohort of People Who Use Drugs
The Cannabis-Dependent Relationship Between Methadone Treatment Dose and Illicit Opioid Use in a Community-Based Cohort of People Who Use Drugs Open
Background: Methadone maintenance treatment (MMT) is an effective treatment for opioid use disorder. However, subtherapeutic dosing may lead to continued opioid use by failing to suppress opioid withdrawal and craving. Preclinical a…