angular 2.0 equivalent to $scope.$apply

Try to import ChangeDetectorRef from angular core as follow

import {Component, ChangeDetectorRef} from '@angular/core';

in constructor

constructor(private chRef: ChangeDetectorRef){
  chRef.detectChanges(); //Whenever you need to force update view
}

Mostly, you don't need to do anything to update the view. zone.js will do everything for you.

But if for some reason you want to fire change detection manually (for example if your code is running outside of an angular zone) you can use LifeCycle::tick() method to do it. See this plunker

import {Component, LifeCycle, NgZone} from 'angular2/angular2'

@Component({
  selector: 'my-app',
  template: `
    <div>
      Hello world!!! Time: {{ time }}.
    </div>
  `
})
export class App {
  time: number = 0;

  constructor(lc: LifeCycle, zone: NgZone) {
    zone.runOutsideAngular(() => {
      setInterval(() => {
        this.time = Date.now();

        lc.tick(); // comment this line and "time" will stop updating
      }, 1000);
    })
  }
  doCheck() {
    console.log('check', Date.now());
  }
}