Fourier-enhanced Neural Networks For Systems Biology Applications | Paper Citation Record

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This paper cites Computational modeling, formal analysis, and tools for systems biology.

Fourier-enhanced Neural Networks For Systems Biology Applications Computational modeling, formal analysis, and tools for systems biology

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This paper cites Stably accelerating stiff quantitative systems pharmacol- ogy models: Continuous-time echo state networks as implicit machine learning.

Fourier-enhanced Neural Networks For Systems Biology Applications Stably accelerating stiff quantitative systems pharmacol- ogy models: Continuous-time echo state networks as implicit machine learning

Reference 2

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This paper cites Multipole graph neu- ral operator for parametric partial differential equations.

Fourier-enhanced Neural Networks For Systems Biology Applications Multipole graph neu- ral operator for parametric partial differential equations

Reference 3

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This paper cites Systems biology: a brief overview.

Fourier-enhanced Neural Networks For Systems Biology Applications Systems biology: a brief overview

Reference 4

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This paper cites An introduction to systems biology: design principles of biological circuits.

Fourier-enhanced Neural Networks For Systems Biology Applications An introduction to systems biology: design principles of biological circuits

Reference 5

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This paper cites Integrating high-throughput and computational data elu- cidates bacterial networks.

Fourier-enhanced Neural Networks For Systems Biology Applications Integrating high-throughput and computational data elu- cidates bacterial networks

Reference 6

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This paper cites Cell-signalling dynamics in time and space.

Fourier-enhanced Neural Networks For Systems Biology Applications Cell-signalling dynamics in time and space

Reference 7

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This paper cites Stochastic vs.

Fourier-enhanced Neural Networks For Systems Biology Applications Stochastic vs

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This paper cites Universal Differential Equations for Scientific Machine Learning.

Fourier-enhanced Neural Networks For Systems Biology Applications Universal Differential Equations for Scientific Machine Learning

Reference 9

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This paper cites Explain- able machine learning for scientific insights and discoveries.

Fourier-enhanced Neural Networks For Systems Biology Applications Explain- able machine learning for scientific insights and discoveries

Reference 10

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This paper cites Machine learning for quantum mechanics in a nutshell.

Fourier-enhanced Neural Networks For Systems Biology Applications Machine learning for quantum mechanics in a nutshell

Reference 11

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This paper cites Machine-learning quantum states in the nisq era.

Fourier-enhanced Neural Networks For Systems Biology Applications Machine-learning quantum states in the nisq era

Reference 12

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This paper cites A high-bias, low-variance introduction to machine learning for physicists.

Fourier-enhanced Neural Networks For Systems Biology Applications A high-bias, low-variance introduction to machine learning for physicists

Reference 13

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This paper cites The camels project: Cosmology and astrophysics with machine-learning simulations.

Fourier-enhanced Neural Networks For Systems Biology Applications The camels project: Cosmology and astrophysics with machine-learning simulations

Reference 14

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This paper cites Machine learning and the physical sciences.

Fourier-enhanced Neural Networks For Systems Biology Applications Machine learning and the physical sciences

Reference 15

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This paper cites Cosmoflow: Using deep learning to learn the universe at scale.

Fourier-enhanced Neural Networks For Systems Biology Applications Cosmoflow: Using deep learning to learn the universe at scale

Reference 16

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This paper cites Machine learning constraints on deviations from general relativity from the large scale structure of the universe.

Fourier-enhanced Neural Networks For Systems Biology Applications Machine learning constraints on deviations from general relativity from the large scale structure of the universe

Reference 17

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This paper cites Methodus inveniendi lineas curvas maximi minimive propri- etate gaudentes sive solutio problematis isoperimetrici latissimo sensu accepti , volume 1.

Fourier-enhanced Neural Networks For Systems Biology Applications Methodus inveniendi lineas curvas maximi minimive propri- etate gaudentes sive solutio problematis isoperimetrici latissimo sensu accepti , volume 1

Reference 18

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This paper cites ¨Uber die numerische aufl¨ osung von differentialgleichungen.Mathe- matische Annalen, 46(2):167–178, 1895.

Fourier-enhanced Neural Networks For Systems Biology Applications ¨Uber die numerische aufl¨ osung von differentialgleichungen.Mathe- matische Annalen, 46(2):167–178, 1895

Reference 19

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This paper cites Finite-element bending analysis for plates.

Fourier-enhanced Neural Networks For Systems Biology Applications Finite-element bending analysis for plates

Reference 20

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Fourier-enhanced Neural Networks For Systems Biology Applications Unresolved cited work

Reference 21

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This paper cites Finite volume meth- ods.

Fourier-enhanced Neural Networks For Systems Biology Applications Finite volume meth- ods

Reference 22

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This paper cites Neural ordinary differential equations.

Fourier-enhanced Neural Networks For Systems Biology Applications Neural ordinary differential equations

Reference 23

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Observation 1d1b33e8-8c0a-40e1-a5e9-ab344c8a0e22 · outbound

This paper cites Dgm: A deep learning algo- rithm for solving partial differential equations.

Fourier-enhanced Neural Networks For Systems Biology Applications Dgm: A deep learning algo- rithm for solving partial differential equations

Reference 24

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Observation e2a2d7be-50d3-4583-8165-1b44a2165467 · outbound

This paper cites Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations.

Fourier-enhanced Neural Networks For Systems Biology Applications Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

Reference 25

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Fourier-enhanced Neural Networks For Systems Biology Applications Mri image reconstruction via learning optimization using neural odes

Reference 26

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This paper cites Fore- casting the outcome of spintronic experiments with neural ordinary differential equations.

Fourier-enhanced Neural Networks For Systems Biology Applications Fore- casting the outcome of spintronic experiments with neural ordinary differential equations

Reference 27

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Observation 0bb3a6ff-18e4-4701-9e2e-f6bbec05aee4 · outbound

This paper cites Explainable tensorized neural ordinary differential equations for arbitrary-step time series prediction.

Fourier-enhanced Neural Networks For Systems Biology Applications Explainable tensorized neural ordinary differential equations for arbitrary-step time series prediction

Reference 28

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This paper cites The deep learning galerkin method for the general stokes equations.

Fourier-enhanced Neural Networks For Systems Biology Applications The deep learning galerkin method for the general stokes equations

Reference 29

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This paper cites A Deep Learning Galerkin Method for the Closed-Loop Geothermal System.

Fourier-enhanced Neural Networks For Systems Biology Applications A Deep Learning Galerkin Method for the Closed-Loop Geothermal System

Reference 30

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Observation ab4d94ed-be15-4832-b68e-7a7ea9644a9d · outbound

This paper cites Physics-informed neural networks (pinns) for fluid mechanics: A re- view.

Fourier-enhanced Neural Networks For Systems Biology Applications Physics-informed neural networks (pinns) for fluid mechanics: A re- view

Reference 31

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Observation 5cb966b9-051b-45c0-a51a-07f6ec464bff · outbound

This paper cites Physics- informed neural networks for power systems.

Fourier-enhanced Neural Networks For Systems Biology Applications Physics- informed neural networks for power systems

Reference 32

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This paper cites Physics-informed neural networks for heat transfer problems.

Fourier-enhanced Neural Networks For Systems Biology Applications Physics-informed neural networks for heat transfer problems

Reference 33

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Observation b8ed8e3c-cd61-4b64-a7b5-9bfc8213224a · outbound

This paper cites Stiff-pinn: Physics- informed neural network for stiff chemical kinetics.

Fourier-enhanced Neural Networks For Systems Biology Applications Stiff-pinn: Physics- informed neural network for stiff chemical kinetics

Reference 34

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Observation b989369a-e5d4-41d9-87a7-ff5a709acada · outbound

This paper cites Towards efficient simulations of non-equilibrium chemistry in hypersonic flows: A physics-informed neural network framework.

Fourier-enhanced Neural Networks For Systems Biology Applications Towards efficient simulations of non-equilibrium chemistry in hypersonic flows: A physics-informed neural network framework

Reference 35

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Observation e2b55e08-d008-45b1-941b-94e844cf5b2c · outbound

This paper cites A deep learning approach for predicting two-dimensional soil consolidation using physics-informed neural networks (pinn).

Fourier-enhanced Neural Networks For Systems Biology Applications A deep learning approach for predicting two-dimensional soil consolidation using physics-informed neural networks (pinn)

Reference 36

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This paper cites A novel workflow based on physics-informed machine learning to deter- mine the permeability profile of fractured coal seams using downhole geophysical logs.

Fourier-enhanced Neural Networks For Systems Biology Applications A novel workflow based on physics-informed machine learning to deter- mine the permeability profile of fractured coal seams using downhole geophysical logs

Reference 37

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Observation 039c1946-41c6-4c92-91b2-0883ad80736d · outbound

This paper cites Surrogate modeling for fluid flows based on physics-constrained deep learning without simulation data.

Fourier-enhanced Neural Networks For Systems Biology Applications Surrogate modeling for fluid flows based on physics-constrained deep learning without simulation data

Reference 38

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Observation 78d79f6d-eef2-4b96-91e6-cf3bd5c31eea · outbound

This paper cites Deep learning of vortex-induced vibrations.

Fourier-enhanced Neural Networks For Systems Biology Applications Deep learning of vortex-induced vibrations

Reference 39

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This paper cites Nsfnets (navier- stokes flow nets): Physics-informed neural networks for the incompressible navier-stokes equations.

Fourier-enhanced Neural Networks For Systems Biology Applications Nsfnets (navier- stokes flow nets): Physics-informed neural networks for the incompressible navier-stokes equations

Reference 40

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Observation afb0d8b7-9fe2-4d0f-8be4-ff7dbf78d60e · outbound

This paper cites Machine learning in cardiovascular flows modeling: Pre- dicting arterial blood pressure from non-invasive 4d flow mri data using physics- informed neural networks.

Fourier-enhanced Neural Networks For Systems Biology Applications Machine learning in cardiovascular flows modeling: Pre- dicting arterial blood pressure from non-invasive 4d flow mri data using physics- informed neural networks

Reference 41

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Observation 1cdeb6ce-07e0-42f0-a972-5eae31850d8b · outbound

This paper cites Physics-informed neural networks for cardiac activation mapping.

Fourier-enhanced Neural Networks For Systems Biology Applications Physics-informed neural networks for cardiac activation mapping

Reference 42

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Observation 9cce87c7-8d63-413b-9873-071c5aa86a9e · outbound

This paper cites Biologically-informed neural networks guide mechanis- tic modeling from sparse experimental data.

Fourier-enhanced Neural Networks For Systems Biology Applications Biologically-informed neural networks guide mechanis- tic modeling from sparse experimental data

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:48:49.960905Z

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Observation 21e3a5f8-eb5e-40ff-9286-d3cd1d4f0202 · outbound

This paper cites Biologically informed neural networks predict drug responses.

Fourier-enhanced Neural Networks For Systems Biology Applications Biologically informed neural networks predict drug responses

Reference 44

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Observation 46adb536-6d54-46ff-9500-8ce57ffa9f38 · outbound

This paper cites Systems biology informed deep learning for inferring parameters and hidden dynamics.

Fourier-enhanced Neural Networks For Systems Biology Applications Systems biology informed deep learning for inferring parameters and hidden dynamics

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:48:49.933211Z

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Observation 1ab31520-f885-43bf-bfb8-67e6650d2dec · outbound

This paper cites A generic physics-informed neural network-based constitutive model for soft biological tissues.

Fourier-enhanced Neural Networks For Systems Biology Applications A generic physics-informed neural network-based constitutive model for soft biological tissues

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:48:49.919454Z

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Observation 7d97c936-b5f5-476b-9a45-2191a40837f3 · outbound

This paper cites Non-invasive inference of thrombus material properties with physics-informed neural networks.

Fourier-enhanced Neural Networks For Systems Biology Applications Non-invasive inference of thrombus material properties with physics-informed neural networks

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:48:49.905876Z

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Observation 8d9f25a3-97ad-4f5a-9c9b-923cb2391c87 · outbound

This paper cites Characterizing possible failure modes in physics-informed neural networks.

Fourier-enhanced Neural Networks For Systems Biology Applications Characterizing possible failure modes in physics-informed neural networks

Reference 48

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Observation b846c324-1502-4693-998b-31a54ef38e0d · outbound

This paper cites Deepxde: A deep learning library for solving differential equations.

Fourier-enhanced Neural Networks For Systems Biology Applications Deepxde: A deep learning library for solving differential equations

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:48:49.879519Z

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Observation b89c0017-7c0a-4b40-93e0-47b3fac51adc · outbound

This paper cites When Physics Meets Machine Learning: A Survey of Physics-Informed Machine Learning.

Fourier-enhanced Neural Networks For Systems Biology Applications When Physics Meets Machine Learning: A Survey of Physics-Informed Machine Learning

Reference 50

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Observation 473837b1-5f16-40a4-bb85-4f5a3c10e80f · outbound

This paper cites Locally adap- tive activation functions with slope recovery for deep and physics-informed neural networks.

Fourier-enhanced Neural Networks For Systems Biology Applications Locally adap- tive activation functions with slope recovery for deep and physics-informed neural networks

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:48:49.866467Z

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Observation 7bf196da-b1b1-48ba-853d-a62cf62d0277 · outbound

This paper cites Conserva- tive physics-informed neural networks on discrete domains for conservation laws: Applications to forward and inverse problems.

Fourier-enhanced Neural Networks For Systems Biology Applications Conserva- tive physics-informed neural networks on discrete domains for conservation laws: Applications to forward and inverse problems

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:48:49.853190Z

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Observation 51c99bb2-34b9-4f90-9387-b5d35d21235d · outbound

This paper cites Learning nonlinear operators via deeponet based on the universal ap- proximation theorem of operators.

Fourier-enhanced Neural Networks For Systems Biology Applications Learning nonlinear operators via deeponet based on the universal ap- proximation theorem of operators

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:48:49.838110Z

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Observation b6b31146-5b80-456c-8f63-29c589b4b1c6 · outbound

This paper cites Distributed physics informed neural network for data-efficient solution to partial differential equations.

Fourier-enhanced Neural Networks For Systems Biology Applications Distributed physics informed neural network for data-efficient solution to partial differential equations

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-08T13:48:49.270986Z

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Observation f7eb555a-4198-4918-93c4-060bfbfd55b2 · outbound

This paper cites Extended physics-informed neural networks (xpinns): A generalized space-time domain decomposition based deep learning framework for nonlinear partial differential equations.

Fourier-enhanced Neural Networks For Systems Biology Applications Extended physics-informed neural networks (xpinns): A generalized space-time domain decomposition based deep learning framework for nonlinear partial differential equations

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:48:49.821208Z

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Observation 7b38fb72-bc83-4130-be4c-4f4c39083dab · outbound

This paper cites Gradient- enhanced physics-informed neural networks for forward and inverse pde prob- lems.

Fourier-enhanced Neural Networks For Systems Biology Applications Gradient- enhanced physics-informed neural networks for forward and inverse pde prob- lems

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:48:49.807092Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c7483c10-ecc3-4409-a5f2-aaca8d382a12 · outbound

This paper cites Deep learning-based method coupled with small sample learning for solving partial differential equations.

Fourier-enhanced Neural Networks For Systems Biology Applications Deep learning-based method coupled with small sample learning for solving partial differential equations

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:48:49.793210Z

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Observation 6a20146b-0310-4be5-9295-6ed76337ded2 · outbound

This paper cites Modified physics-informed neural network method based on the conservation law constraint and its prediction of optical solitons.

Fourier-enhanced Neural Networks For Systems Biology Applications Modified physics-informed neural network method based on the conservation law constraint and its prediction of optical solitons

Reference 58

Resolution: verified exact; local_arxiv, observed 2026-08-08T13:48:49.573635Z

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Observation 66d127a0-b4f2-46c3-b413-5d2eb89a5ce2 · outbound

This paper cites Physics-informed dynamic mode decomposition (piDMD).

Fourier-enhanced Neural Networks For Systems Biology Applications Physics-informed dynamic mode decomposition (piDMD)

Reference 59

Resolution: verified exact; local_arxiv, observed 2026-08-08T13:48:49.553327Z

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Observation f0b0ad37-afeb-4f99-b77c-daf7ec05270c · outbound

This paper cites Fourier neural networks.

Fourier-enhanced Neural Networks For Systems Biology Applications Fourier neural networks

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:48:49.778839Z

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Observation 13121858-ba41-4360-bedd-b3c8804727da · outbound

This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.

Fourier-enhanced Neural Networks For Systems Biology Applications Fourier Neural Operator for Parametric Partial Differential Equations

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-08T13:48:49.302338Z

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Observation 5e4d07a6-c96f-4d4d-b273-63b617d41aa5 · outbound

This paper cites Model-Parallel Fourier Neural Operators as Learned Surrogates for Large-Scale Parametric PDEs.

Fourier-enhanced Neural Networks For Systems Biology Applications Model-Parallel Fourier Neural Operators as Learned Surrogates for Large-Scale Parametric PDEs

Reference 62

Resolution: verified exact; local_arxiv, observed 2026-08-08T13:48:49.519150Z

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Observation 88125931-e631-458e-a489-f7bd360d4a48 · outbound

This paper cites Linear attention coupled Fourier neural operator for simulation of three-dimensional turbulence.

Fourier-enhanced Neural Networks For Systems Biology Applications Linear attention coupled Fourier neural operator for simulation of three-dimensional turbulence

Reference 63

Resolution: verified exact; local_arxiv, observed 2026-08-08T13:48:49.498946Z

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Observation e5bd3371-8642-4a0d-99d8-0682bb225b3f · outbound

This paper cites Solving Seismic Wave Equations on Variable Velocity Models with Fourier Neural Operator.

Fourier-enhanced Neural Networks For Systems Biology Applications Solving Seismic Wave Equations on Variable Velocity Models with Fourier Neural Operator

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-08T13:48:49.316226Z

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Observation 30d2f66c-5492-4363-a0bb-130f566600f0 · outbound

This paper cites Learning Deep Implicit Fourier Neural Operators (IFNOs) with Applications to Heterogeneous Material Modeling.

Fourier-enhanced Neural Networks For Systems Biology Applications Learning Deep Implicit Fourier Neural Operators (IFNOs) with Applications to Heterogeneous Material Modeling

Reference 65

Resolution: verified exact; local_arxiv, observed 2026-08-08T13:48:49.460481Z

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Observation 42f6c89b-aba7-45a4-a7ac-3d75e31d0173 · outbound

This paper cites Adaptive Fourier Neural Operators: Efficient Token Mixers for Transformers.

Fourier-enhanced Neural Networks For Systems Biology Applications Adaptive Fourier Neural Operators: Efficient Token Mixers for Transformers

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-08T13:48:49.324698Z

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Observation ee3fbe2d-8ca9-4942-bf19-7e27627eb80d · outbound

This paper cites A learning algo- rithm for boltzmann machines.

Fourier-enhanced Neural Networks For Systems Biology Applications A learning algo- rithm for boltzmann machines

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:48:49.765185Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 63c0f00e-282f-4a2b-a05a-e1d682e04065 · outbound

This paper cites Rectified linear units improve restricted boltzmann machines.

Fourier-enhanced Neural Networks For Systems Biology Applications Rectified linear units improve restricted boltzmann machines

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-08T13:48:49.332485Z

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Observation c9e17fa7-7514-485c-b160-c5574012c422 · outbound

This paper cites Deep sparse rectifier neural networks.

Fourier-enhanced Neural Networks For Systems Biology Applications Deep sparse rectifier neural networks

Reference 69

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:48:49.742106Z

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Observation eb5d57f8-0b40-42f0-af2b-fed3d01b14f6 · outbound

This paper cites Fast and Accurate Deep Network Learning by Exponential Linear Units (ELUs).

Fourier-enhanced Neural Networks For Systems Biology Applications Fast and Accurate Deep Network Learning by Exponential Linear Units (ELUs)

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-08T13:48:49.339905Z

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Observation 831a58a3-c585-4999-8304-2a0c65adbab9 · outbound

This paper cites Gaussian Error Linear Units (GELUs).

Fourier-enhanced Neural Networks For Systems Biology Applications Gaussian Error Linear Units (GELUs)

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-08T13:48:49.344279Z

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Observation 49e41ab2-ce16-4c7c-9c11-c4a2845e9bca · outbound

This paper cites Implicit neural representations with periodic activation func- tions.

Fourier-enhanced Neural Networks For Systems Biology Applications Implicit neural representations with periodic activation func- tions

Reference 72

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:48:49.728229Z

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Observation 5bbafda3-57b6-4417-9b0f-a6108f900ac4 · outbound

This paper cites an unresolved cited work.

Fourier-enhanced Neural Networks For Systems Biology Applications Unresolved cited work

Reference 73

Resolution: unresolved; no resolver link, observed 2026-08-08T13:48:49.352890Z

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Observation 62696489-1b04-4f03-a566-81f19236c328 · outbound

This paper cites A synthetic oscillatory network of transcriptional regulators.

Fourier-enhanced Neural Networks For Systems Biology Applications A synthetic oscillatory network of transcriptional regulators

Reference 74

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:48:49.704331Z

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Observation 3face0dd-e958-42ba-93ac-f6e2f14c8811 · outbound

This paper cites Discussion: the kermack-mckendrick epidemic threshold the- orem.

Fourier-enhanced Neural Networks For Systems Biology Applications Discussion: the kermack-mckendrick epidemic threshold the- orem

Reference 75

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:48:49.690430Z

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Observation f7c5ed49-b0f9-4dd8-9dcc-2275ba506f3b · outbound

This paper cites A modified age-structured sir model for covid-19 type viruses.

Fourier-enhanced Neural Networks For Systems Biology Applications A modified age-structured sir model for covid-19 type viruses

Reference 76

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:48:49.676227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ac04e24a-d53a-4ced-bbbb-a1d1b69bd262 · outbound

This paper cites The chemical basis of morphogenesis.

Fourier-enhanced Neural Networks For Systems Biology Applications The chemical basis of morphogenesis

Reference 77

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:48:49.662889Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1180944c-a4ba-4f55-930d-975a4e4288c6 · outbound

This paper cites Turing’s model for biological pattern formation and the robustness problem.

Fourier-enhanced Neural Networks For Systems Biology Applications Turing’s model for biological pattern formation and the robustness problem

Reference 78

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:48:49.649657Z

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