There's a distinction between surviving a program and thriving on a program. The best program creates a balance between the two: where surviving the workout mentally is necessary in order to increase workload capacity and ensure an adaptive response in both the short and long term.
There are no benefits to "special" exercises. Expertise is about proper application and a program should always be based on your current needs. Some don’t realize the dramatic effects of very intense training. We're talking about increased workload capacity, neural drive, nervous system adaptation, and improved capacity for intensity. This is where real progress lies. Most train with low volume, higher loads (for them), and low reps. This is not the way to total development. Much has been written on the interplay of load vs. duration of stress. This has led to many of these important elements being taken out of context and viewed in narrow terms.
The duration of overload on the target muscles must be viewed over the course of a “whole workout”, not just one set. It's not limit strength that leads to development, aesthetics, and thickness. It's density of strength. To say development relies on strength in terms of load is incorrect. To say it centers on strength endurance is also misleading. The way to real effective muscle development, thickness, fullness, and sweep is a matter of strength density. The proper training protocol overtime covers all aspects of training: power, speed, plane of motion specificity, and absolute/relative failure. The shortcoming of most training protocols is that they have to neglect many of these elements in order to create an adaptive response in one specific area. In terms of program design, this is very short-sighted.
The true test of whether you're progressing isn't how much you're lifting coming out of the gate. A better testament is the load you can handle at the end of a volume approach. When you're in a fatigued state (both metabolically and strength wise) and you're able to increase the load, that is the key to productive results. It's your density of strength, and not how much you can lift, that will earn you true hypertrophy and development.
Also to properly excite a lagging body part it's important to not only target it specifically, but to force on-going adaptive responses as well. One of the best ways of enhancing the hypertrophy response is to focus on all aspects that contribute to strength. This includes an emphasis on the coordination of muscles within specific movement patterns, the type of muscle contraction, and increasing workload capacity
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