Paper Citation Record · LEDGER

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction

As of 8 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 1 inbound Pith citation observation for arXiv:2506.04538.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.04538 v1

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:44:51.317783Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T16:12:50.541604Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-05T16:12:51.018611Z

Reference resolution

38 of 38 outbound references displayed

verified exact6
verified fuzzy27
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f29de248-65df-4458-9c44-20e2470aabbb · outbound

This paper cites Challenges and opportunities in uncertainty quantification for healthcare and biological systems.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction Challenges and opportunities in uncertainty quantification for healthcare and biological systems

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:44:55.167421Z

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Observation b44b8f11-5019-4bce-b2ec-7a5079122910 · outbound

This paper cites Guidelines for mechanistic modeling and analysis in cardiovascular research.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction Guidelines for mechanistic modeling and analysis in cardiovascular research

Reference 2

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Observation 8d53b7d8-f426-4f4f-8ad1-2ea54bb2927a · outbound

This paper cites Foundational Research Gaps and Future Directions for Digital Twins.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction Foundational Research Gaps and Future Directions for Digital Twins

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:44:55.142496Z

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Observation 5d170bae-e1f0-4c0c-8be6-2d4fea403d92 · outbound

This paper cites A guide to uncertainty quantification and sensitivity analysis for cardiovascular applications.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction A guide to uncertainty quantification and sensitivity analysis for cardiovascular applications

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:44:55.130679Z

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Observation cc9fcc5f-e94c-4a2d-928b-77068010b7e2 · outbound

This paper cites Uncertainty quantification: theory, implementation, and applications.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction Uncertainty quantification: theory, implementation, and applications

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:44:55.119040Z

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Observation f5795a2c-a2ca-4c9b-a6b1-138a30d7f81b · outbound

This paper cites Sensitivity analysis: A review of recent advances.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction Sensitivity analysis: A review of recent advances

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:44:55.107388Z

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Observation 531806e7-e4d5-4a1c-bf56-4890011c431c · outbound

This paper cites Variance-based sensitivity analysis for time-dependent processes.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction Variance-based sensitivity analysis for time-dependent processes

Reference 7

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Observation 227f5358-147d-442c-a8cc-ea02b235ad68 · outbound

This paper cites Principal component analysis and sparse polynomial chaos expansions for global sensitivity analysis and model calibration: Application to urban drainage simulation.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction Principal component analysis and sparse polynomial chaos expansions for global sensitivity analysis and model calibration: Application to urban drainage simulation

Reference 8

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Source-reported events for the cited work

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Observation ed4340c7-0e0d-49f9-b0ec-20fc0d25d4c8 · outbound

This paper cites Effects of arterial wall models and measurement uncertainties on cardiovascular model predictions.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction Effects of arterial wall models and measurement uncertainties on cardiovascular model predictions

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:44:55.082659Z

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Observation c5de9da4-346b-45a4-86e4-924c933109a9 · outbound

This paper cites Applicability of the polynomial chaos expansion method for personalization of a cardiovascular pulse wave propagation model.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction Applicability of the polynomial chaos expansion method for personalization of a cardiovascular pulse wave propagation model

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:44:55.069582Z

Source-reported events for the cited work

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Observation 9f131f39-88c9-4660-8ea4-8d42495cae5d · outbound

This paper cites Efficient uncertainty quantification in a spatially multiscale model of pulmonary arterial and venous hemodynamics.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction Efficient uncertainty quantification in a spatially multiscale model of pulmonary arterial and venous hemodynamics

Reference 11

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Observation 6be4dde2-1acb-479f-abe3-e0d2c705bf5f · outbound

This paper cites On structural and practical identifiability.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction On structural and practical identifiability

Reference 12

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Source-reported events for the cited work

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Observation 396bd14b-11bb-4f87-872e-d7160df89e58 · outbound

This paper cites An in-silico analysis of experimental designs to study ventricular function: A focus on the right ventricle.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction An in-silico analysis of experimental designs to study ventricular function: A focus on the right ventricle

Reference 13

Resolution: verified exact; doi, observed 2026-08-07T10:44:52.012259Z

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Observation 83fd1b2e-a101-4b43-a3d0-0b24604bf69c · outbound

This paper cites Structural identifiability analysis of age-structured PDE epidemic models.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction Structural identifiability analysis of age-structured PDE epidemic models

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:44:55.057447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f772c2c6-0d3b-4171-ad50-0e6243e2ccff · outbound

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Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction Unresolved cited work

Reference 15

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Source-reported events for the cited work

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Observation 68c115eb-0ae4-408b-a505-1a17d12f570a · outbound

This paper cites Parameter identifiability in PDE models of fluorescence recovery after photobleaching.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction Parameter identifiability in PDE models of fluorescence recovery after photobleaching

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:44:55.021591Z

Source-reported events for the cited work

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Observation 21390e1e-d516-4aac-8e9f-587cd05d626a · outbound

This paper cites A comparison of Gaussian processes and polynomial chaos emulators in the context of haemodynamic pulse–wave propagation modelling.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction A comparison of Gaussian processes and polynomial chaos emulators in the context of haemodynamic pulse–wave propagation modelling

Reference 17

Resolution: verified exact; raw_fallback, observed 2026-08-07T10:44:52.352752Z

Source-reported events for the cited work

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Observation bb65c195-4fd3-4ed3-8f6d-4080e5d4ed8e · outbound

This paper cites Numerical simulation and experimental validation of blood flow in arteries with structured-tree outflow conditions.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction Numerical simulation and experimental validation of blood flow in arteries with structured-tree outflow conditions

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:44:54.945237Z

Source-reported events for the cited work

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Observation f3566b5f-72f8-4927-84c6-21a84d42e507 · outbound

This paper cites Sensitivity analysis and uncertainty quantification of 1-D models of pulmonary hemodynamics in mice under control and hypertensive conditions.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction Sensitivity analysis and uncertainty quantification of 1-D models of pulmonary hemodynamics in mice under control and hypertensive conditions

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:44:54.791081Z

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Observation ca41b0e3-404d-4fc0-a917-7731c24c999e · outbound

This paper cites Assessing model mismatch and model selection in a Bayesian uncertainty quantification analysis of a fluid-dynamics model of pulmonary blood circulation.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction Assessing model mismatch and model selection in a Bayesian uncertainty quantification analysis of a fluid-dynamics model of pulmonary blood circulation

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:44:54.624019Z

Source-reported events for the cited work

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Observation 0e70f0f2-6ac9-417c-ab46-30f529f243c1 · outbound

This paper cites Pulse Wave Propagation in the Arterial Tree.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction Pulse Wave Propagation in the Arterial Tree

Reference 21

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Source-reported events for the cited work

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Observation 12474472-da0b-4c8a-89a7-efe827a00c65 · outbound

This paper cites Numerical simulation of blood flow and pressure drop in the pulmonary arterial and venous circulation.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction Numerical simulation of blood flow and pressure drop in the pulmonary arterial and venous circulation

Reference 22

Resolution: verified exact; doi, observed 2026-08-07T10:44:51.864388Z

Source-reported events for the cited work

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Observation def84a74-7536-4376-b8ed-ddd41cdc4c96 · outbound

This paper cites Evolution of hemodynamic forces in the pulmonary tree with progressively worsening pulmonary arterial hypertension in pediatric patients.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction Evolution of hemodynamic forces in the pulmonary tree with progressively worsening pulmonary arterial hypertension in pediatric patients

Reference 23

Resolution: verified exact; doi, observed 2026-08-07T10:44:51.750560Z

Source-reported events for the cited work

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Observation c460e1f6-d484-4220-9c64-9ece10bc303f · outbound

This paper cites The arterial Windkessel.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction The arterial Windkessel

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:44:54.291542Z

Source-reported events for the cited work

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Observation 96d00945-0137-42b1-af90-5a69bb34d400 · outbound

This paper cites Structural and hemodynamic properties of murine pulmonary arterial networks under hypoxia-induced pulmonary hypertension.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction Structural and hemodynamic properties of murine pulmonary arterial networks under hypoxia-induced pulmonary hypertension

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:44:54.108635Z

Source-reported events for the cited work

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Observation d350b128-28a4-4e47-a38a-2adf16c95c5d · outbound

This paper cites UQLab: A framework for uncertainty quantification in Matlab.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction UQLab: A framework for uncertainty quantification in Matlab

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:44:53.987589Z

Source-reported events for the cited work

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Observation 64292170-77c8-452e-ab47-060a77f510e0 · outbound

This paper cites Computer model calibration using high-dimensional output.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction Computer model calibration using high-dimensional output

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:44:53.847872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2948926a-c779-41ce-8de0-55ae69a6dbdf · outbound

This paper cites Integration based profile likelihood calculation for PDE constrained parameter estimation problems.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction Integration based profile likelihood calculation for PDE constrained parameter estimation problems

Reference 28

Resolution: verified exact; doi, observed 2026-08-07T10:44:51.599185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6ca51b0a-6656-424f-af1c-b915239df35a · outbound

This paper cites Personalization of models with many model parameters: an efficient sensitivity analysis approach.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction Personalization of models with many model parameters: an efficient sensitivity analysis approach

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:44:53.639633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 914d23a8-9781-4df4-8cc1-a5c1de279e40 · outbound

This paper cites Bayesian sensitivity analysis of a 1D vascular model with Gaussian process emulators.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction Bayesian sensitivity analysis of a 1D vascular model with Gaussian process emulators

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:44:53.479543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8e150db5-f7f3-4e20-bbcb-8bfff648c9ce · outbound

This paper cites An Effective Fractal-Tree Closure Model for Simulating Blood Flow in Large Arterial Networks.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction An Effective Fractal-Tree Closure Model for Simulating Blood Flow in Large Arterial Networks

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:44:53.340138Z

Source-reported events for the cited work

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Observation 0b8224ce-cf99-4690-aaf6-e93bbebab50e · outbound

This paper cites Rarefaction and blood pressure in systemic and pulmonary arteries.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction Rarefaction and blood pressure in systemic and pulmonary arteries

Reference 32

Resolution: verified exact; doi, observed 2026-08-07T10:44:51.461869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1bc4d876-1782-49d6-bce7-c082a335ae77 · outbound

This paper cites Parameter selection and optimization of a computational network model of blood flow in single-ventricle patients.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction Parameter selection and optimization of a computational network model of blood flow in single-ventricle patients

Reference 33

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Source-reported events for the cited work

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Observation 840239cd-fbd5-4638-ad7a-ede09ec4d9ec · outbound

This paper cites To Sobol or not to Sobol? The effects of sampling schemes in systems biology applications.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction To Sobol or not to Sobol? The effects of sampling schemes in systems biology applications

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:44:53.194869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9acd201d-ccb3-473a-bc8d-33cba98af807 · outbound

This paper cites Hemodynamic assessment of pulmonary hypertension in mice: a model-based analysis of the disease mechanism.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction Hemodynamic assessment of pulmonary hypertension in mice: a model-based analysis of the disease mechanism

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:44:53.018608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation cad980d7-a80d-4e3f-826f-e6e065cd0fd6 · outbound

This paper cites Emulation-accelerated Hamiltonian Monte Carlo algorithms for parameter estimation and uncertainty quantification in differential equation models.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction Emulation-accelerated Hamiltonian Monte Carlo algorithms for parameter estimation and uncertainty quantification in differential equation models

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:44:52.838571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f40c5e3a-6740-45ef-a7c0-3bab524e028a · outbound

This paper cites Bayesian emulation of complex multi-output and dynamic computer models.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction Bayesian emulation of complex multi-output and dynamic computer models

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:44:52.648959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2af9015d-b2bb-4fae-811d-765652809426 · outbound

This paper cites Optimal experimental design for infinite-dimensional Bayesian inverse problems governed by PDEs: A review.

Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction Optimal experimental design for infinite-dimensional Bayesian inverse problems governed by PDEs: A review

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:44:52.530181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

Observation 9321a119-0e93-4347-8dec-8c44702b170d · inbound

Think before you fit: parameter identifiability, sensitivity and uncertainty in systems biology models cites this paper.

Think before you fit: parameter identifiability, sensitivity and uncertainty in systems biology models Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction

Reference 63

Resolution: verified exact; local_arxiv, observed 2026-08-05T16:12:51.025346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.