Exact solution of the diffusion‐convection equation in cylindrical geometry

Ivanchenko, Oleksandr; Sindhwani, Nikhil; Linninger, Andreas A.

doi:10.1002/aic.12663

Cited by 8 publications

(6 citation statements)

References 14 publications

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“…As the infusate's volume and distribution increase, convection's role in the transport of the drug diminishes. 11 In light of this, these governing forces must be balanced to successfully deliver therapeutic agents to a defined area via CED. Successfully balancing these forces can potentially deliver therapy to specific regions within the CNS with minimal injury, while limiting both exposure of nontargeted regions and systemic toxicity.…”

Section: Discussionmentioning

confidence: 99%

On-demand pulsatile intracerebral delivery of carisbamate with closed-loop direct neurostimulation therapy in an electrically induced self-sustained focal-onset epilepsy rat model

Mangubat¹,

Kellogg²,

Harris

et al. 2015

JNS

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Unilateral closed-loop direct stimulation therapy delivered to afferent hippocampal white matter pathways concurrent with on-demand ipsilateral intracerebral delivery of nano-bolused carisbamate can rapidly decrease the frequency of electrographic seizures in an active bihemispheric epileptic network. Additionally, direct pulsatile delivery of carisbamate can stabilize seizure frequency variability compared with direct stimulation therapy alone.

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Section: Discussionmentioning

confidence: 99%

On-demand pulsatile intracerebral delivery of carisbamate with closed-loop direct neurostimulation therapy in an electrically induced self-sustained focal-onset epilepsy rat model

Mangubat¹,

Kellogg²,

Harris

et al. 2015

JNS

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“…Thrombolytic drug is infused directly into a venous thrombus with an infusion catheter ( Chen et al, 2016 ). Given information about the infusion parameters and modeling the thrombus as a porous media, the distribution of thrombolytic can be determined by solving the perfusion-diffusion equation ( Ivanchenko et al, 2012 ):

…”

Section: Methodsmentioning

confidence: 99%

“…Pixels associated with lysed red blood cells in the Monte Carlo calculation were assumed to be fluid (i.e., liquefied), and the constants A 1 , A 2 , and A 3 in Eq. 3 were estimated as ( Ivanchenko et al, 2012 ):

were D ablate was the diffusion coefficient of ablated thrombus taken to be 25 × 10 −6 cm 2 /s ( Allen et al, 2017 ).…”

Section: Methodsmentioning

confidence: 99%

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In silico assessment of histotripsy-induced changes in catheter-directed thrombolytic delivery

2023

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Introduction: For venous thrombosis patients, catheter-directed thrombolytic therapy is the standard-of-care to recanalize the occluded vessel. Limitations with thrombolytic drugs make the development of adjuvant treatments an active area of research. One potential adjuvant is histotripsy, a focused ultrasound therapy that lyses red blood cells within thrombus via the spontaneous generation of bubbles. Histotripsy has also been shown to improve the efficacy of thrombolytic drugs, though the precise mechanism of enhancement has not been elucidated. In this study, in silico calculations were performed to determine the contribution of histotripsy-induced changes in thrombus diffusivity to alter catheter-directed therapy.Methods: An established and validated Monte Carlo calculation was used to predict the extent of histotripsy bubble activity. The distribution of thrombolytic drug was computed with a finite-difference time domain (FDTD) solution of the perfusion-diffusion equation. The FDTD calculation included changes in thrombus diffusivity based on outcomes of the Monte Carlo calculation. Fibrin degradation was determined using the known reaction rate of thrombolytic drug.Results: In the absence of histotripsy, thrombolytic delivery was restricted in close proximity to the catheter. Thrombolytic perfused throughout the focal region for calculations that included the effects of histotripsy, resulting in an increased degree of fibrinolysis.Discussion: These results were consistent with the outcomes of in vitro studies, suggesting histotripsy-induced changes in the thrombus diffusivity are a primary mechanism for enhancement of thrombolytic drugs.

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“…inhomogeneities in fluid pathways of the brain). It is very encouraging that the role of tissue anisotropy for better predicting the drug biodistribution by CED has recently been studied, both experimentally and with computer models [35][36][37][38]. Advances in experimental techniques are currently aimed at achieving a better understating of the biomechanical interactions between convective drug transport, and the complexities of the brain parenchyma [39,40].…”

Section: Convection-enhanced Deliverymentioning

confidence: 97%

Current status of intratumoral therapy for glioblastoma

et al. 2015

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With emerging drug delivery technologies becoming accessible, more options are expected to become available to patients with glioblastoma (GBM) in the near future. It is important for clinicians to be familiar with the underlying mechanisms and limitations of intratumoral drug delivery, and direction of recent research efforts. Tumor-adjacent brain is an extremely complex living matrix that creates challenges with normal tissue intertwining with tumor cells. For convection-enhanced delivery (CED), the role of tissue anisotropy for better predicting the biodistribution of the infusate has recently been studied. Computational predictive methods are now available to better plan CED therapy. Catheter design and placement—in addition to the agent being used—are critical components of any protocol. This paper overviews intratumoral therapies for GBM, highlighting key anatomic and physiologic perspectives, selected agents (especially immunotoxins), and some new developments such as the description of the glymphatic system.

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Exact solution of the diffusion‐convection equation in cylindrical geometry

Cited by 8 publications

References 14 publications

On-demand pulsatile intracerebral delivery of carisbamate with closed-loop direct neurostimulation therapy in an electrically induced self-sustained focal-onset epilepsy rat model

On-demand pulsatile intracerebral delivery of carisbamate with closed-loop direct neurostimulation therapy in an electrically induced self-sustained focal-onset epilepsy rat model

In silico assessment of histotripsy-induced changes in catheter-directed thrombolytic delivery

Current status of intratumoral therapy for glioblastoma

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