Ion Trajectory Simulation via Hybrid Interaction Algorithm

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Solution Overview

Problem

Computational modeling of mass spectrometry processes involving a large number of ions is inefficient due to the high computational cost of evaluating interactions between ions, leading to oversimplified models and prolonged simulation times.

Innovation Solution

A parallel hybrid algorithm that classifies ion interactions into short-range and long-range categories, using Coulomb's Law for explicit two-body interactions and approximating long-range interactions as a 'charge diffused cloud' to reduce computational load, implemented on a GPGPU with CUDA C++ parallel codes and Lua programming.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If explicit two-body interactions are calculated for all ion pairs, then interaction accuracy is improved, but computational cost increases dramatically

Engineering Contradiction:
Improveinteraction accuracyVSAvoidcomputational cost
Core Design Contradiction:
Measurement precisionVSPower

Solution Approach 1:

The patent segments the calculation of ion interactions by dividing them into two distinct categories: short-range interactions (handled by explicit two-body calculations) and long-range interactions (handled by collective approximations). This segmentation allows the system to apply different computational strategies to different interaction types, maintaining accuracy for critical short-range interactions while reducing computational burden for numerous long-range interactions.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent applies partial action by calculating exact interactions only for nearby ions (short-range) while using approximate collective methods for distant ions (long-range). This partial approach focuses computational resources on interactions that have the most significant impact on ion trajectories, accepting some approximation for less critical long-range interactions to achieve overall efficiency.

Inventive Principle:
Principle #16Partial or excessive action

2Quantity of substance

If the number of ions in simulation is increased, then model completeness is improved, but simulation time increases significantly

Engineering Contradiction:
Improvenumber of ionsVSAvoidsimulation time
Core Design Contradiction:
Quantity of substanceVSLoss of time

Solution Approach 1:

The patent merges multiple ion interactions into collective calculations for long-range interactions. Instead of treating each ion pair separately, it groups distant ions and calculates their combined effect on target ions using approximate methods. This merging strategy dramatically reduces the number of individual calculations required, enabling simulations with large numbers of ions to complete in feasible time.

Inventive Principle:
Principle #5Merging (Combining)

Solution Approach 2:

The patent changes the computational parameters by switching between two different calculation modes: exact two-body interaction calculations for short-range and approximate collective field calculations for long-range. This parameter change allows the system to adapt its computational approach based on interaction distance, optimizing the balance between accuracy and speed for large-scale ion simulations.

Inventive Principle:
Principle #35Parameter changes

3Productivity

If computational models are simplified to reduce cost, then simulation speed is improved, but model accuracy deteriorates

Engineering Contradiction:
Improvesimulation speedVSAvoidmodel accuracy
Core Design Contradiction:
ProductivityVSMeasurement precision

Solution Approach 1:

The patent applies local quality by using different levels of computational accuracy for different spatial regions and interaction types. Short-range interactions (local, critical for trajectory determination) are calculated with high accuracy using exact two-body formulas, while long-range interactions (distant, less impact on individual trajectories) are handled with approximate collective methods. This local differentiation maintains overall model accuracy while enabling faster computation.

Inventive Principle:
Principle #3Local quality

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

This approach significantly reduces simulation time, achieving speeds over 700 times faster than traditional methods for large ion simulations, such as the Coulomb explosion simulation with 128,000 ions, and completing simulations that would take years in a matter of days or weeks.

Implementation Method 1

the acceleration of an ion 102 is largely influenced by nearby ions, the short-range interactions are treated by explicit two-body interactions represented by the Coulomb's Law

Methodology Applied
Scientific EffectCoulomb's Law: Coulomb's Law

Data Source

PatentUS10318672B1System for controlling and directing the flow of a charged particle through a device
Publication Date: 2019.06.11 ARKANSAS STATE UNIV
  • US10318672B1 patent drawing
  • US10318672B1 patent drawing
  • US10318672B1 patent drawing

AI summary

The system effectively manipulates the operation of a charged particle flow device by approximating the total force on each ion during a trajectory calculation. The system applies the method in massively parallel general-purpose computing with GPU (GPGPU) to test its performance in simulations with thousands to over a million ions. The method calculates the forces on an ion using ions within an active region near the ion of interest. To decrease computation time, the method approximates the forces by calculating the ion-ion interactions within a first zone and the ion-ion cloud interactions within a second zone. The system adjusts settings of the charged particle flow device to affect the flow and positioning of the charged particles. Such setting may include adjusting the positioning of the charged plates, adjusting the voltage of the plates, and adjusting the pressure within the charged particle flow device.