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Calculation method of complex mathematical expression based on chemical reaction network

A chemical reaction network and mathematical expression technology, applied in the field of chemical reaction network calculation, can solve problems such as no one has given the realization method

Inactive Publication Date: 2018-12-18
SOUTHEAST UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

Studies have proved that molecular computing has Turing universality, that is, any mathematical expression that can be calculated by an algorithm can be realized using molecular computing as a carrier, but no one has given a specific implementation method

Method used

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  • Calculation method of complex mathematical expression based on chemical reaction network
  • Calculation method of complex mathematical expression based on chemical reaction network
  • Calculation method of complex mathematical expression based on chemical reaction network

Examples

Experimental program
Comparison scheme
Effect test

Embodiment 1

[0079] The calculated expression: f(x)=e x ,

[0080] The Taylor expansion obtained:

[0081] Extend the oscillator to 8-phase oscillator: E 0 ,E 1 ,...,E 7 , Select the non-adjacent phase E 0 ,E 2 ,E 4 ,E 6 Proceed as the reaction time point and initialized.

[0082] The number of design iterations k, from 1 cycle to k, all the values ​​changed in the iteration must be backed up by the corresponding reactant splitting, and then restored afterwards, in order to achieve the overall balance and molecular conservation of the system in the chemical reaction kinetics.

[0083] At E 0 In the phase, calculate n=n+1, e=e+y, and the corresponding chemical reaction equation:

[0084]

[0085] At E 2 In the phase, calculate mm=m×n, xx=x 1 ×x n , The corresponding chemical reaction equation:

[0086]

[0087] At E 4 Complete a series of backups and restores in the phase, and the corresponding chemical reaction equation:

[0088] At E 6 Calculate y=xxx / m in the phase, and the corresponding chemical ...

Embodiment 2

[0091] According to the designed state machine structure and the mathematical derivation in the above part, we can get image 3 The corresponding parameters of CRN1 are shown in Table 1, P K = 0.5.

[0092] Table 1

[0093]

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Abstract

The invention discloses a complex mathematical expression calculation method based on a chemical reaction network, which can utilize probability transmission inside the mathematical foundation and themethod, and remap the complex mathematical expression into the chemical reaction network to realize high parallelism and human body affinity. The invention completes the calculation of complex mathematical expressions, and can complete the calculation of formulas such as high-order polynomial, a trigonometric function, a hyperbolic function, a sigmoid function, Gaussian distribution and the likeon the biological level, and makes the error within an acceptable range.

Description

Technical field [0001] The invention relates to the technical field of chemical reaction network calculation, in particular to a complex mathematical expression calculation method based on a chemical reaction network. Background technique [0002] In view of the fact that Moore's Law is constantly approaching its physical limit, people have gradually turned their attention to other new computing fields, such as photon computing, quantum computing, and molecular computing. Among them, molecular computing, especially DNA computing, has attracted much attention because of its nanometer size, strong operability, large storage capacity, and strong affinity with the human body. Chemical reaction networks (CRNs) are composed of a series of A collection of elementary reactions (including reactants, products, and reaction rate constants). In molecular computing, CRNs is not only a modeling language for describing the behavior of chemical systems and constructing dynamic models, but also...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06N3/12
CPCG06N3/123
Inventor 张川庄雨辰尤肖虎
Owner SOUTHEAST UNIV