The phrase "approach modified by" is correct and usable in written English.
It can be used in contexts where you are describing a method or strategy that has been altered or adapted in some way.
Example: "The research paper discusses an approach modified by recent technological advancements to improve efficiency."
Alternatives: "method adjusted by" or "strategy altered by".
Data obtained using the Smoluchowski approach as modified by Andrews and Bray are virtually indistinguishable from the ones produced using the present approach and are not shown.
Second, the AW approach is modified by introducing hardware-friendly approximation.
The approach modifies the complex placement strategies by proposing simple ones, whereas in the genetic algorithm we have modified the stages of initial population generation, crossover and mutation to achieve our objective.
The balanced approach modifies the random forest algorithm by ensuring that there is equal representation in each bootstrapped sample from which each tree is grown in order to more effectively classify the minority class in an imbalanced dataset [ 32].
The elaborated experimental approach using GNPs modified by specific oligonucleotides showed the significant improvement of the sensitivity of the SPR DNA hybridization sensor.
This approach was later modified by Cao ([2006]) to produce a constrained tree model that was optimized for both tree and stand levels.
Quantitative biophysical analysis of the results was performed with the Stewart approach [10] as modified by Figge et al. [11] to take into account the effects of other factors like albumin level.
The BACrecombineering system approach [ 28], modified by the introduction of a kanamycin selection step, was used for this purpose.
In this approach DFO was modified by N-succinimidyl-S-acetylthioacetate (SATA), resulting in an S-acetyl-protected thiol derivatized form of chelator.
In the Stewart approach [ 21], modified by Figge [ 22], the difference between strong (completely dissociated) cations and anions (SID), and Atot (the total concentration of the weak acids albumin and phosphate) are the determinants of the metabolic acid base profile.
