Sentence examples for required for breakthrough from inspiring English sources

For capitalism to work in the medical field, companies must be able to make the long-term investments required for breakthrough bio-pharmaceuticals and medical therapies.

Thomas and Yoon-Nelson models were applied to predict adsorption capacity and the time required for 50%% breakthrough curves.

Nevertheless, τ (the time required for 50%% breakthrough) was higher at lower F/R and higher BH.

Prominent and unique characteristic features of the respective models like service time (Hutchins BDST model), adsorption capacity (Thomas model), and time required for 50% breakthrough (Yoon-Nelson model) were determined [24].

Prominent and unique characteristics features of the respective models like service time (Hutchins BDST model), adsorption capacity (Thomas model) and time required for 50% breakthrough (Yoon Nelson model) were determined.

The Yoon-Nelson equation is expressed as frac{{C_{t} }}{{C_{0} - C_{t} }} = exp (K_{YN} t - tau K_{YN} ),frac (3)where K YN is the rate constant (min−1) and τ is the time required for 50%% breakthrough (min).

While we are still falling woefully short of the ultimate goal of 'computer designed catalysts', innovations in feed and catalyst characterization tools can enable the concept of molecule management, and when combined with computational chemistry, are crucial for understanding the complex phenomena at the catalyst surface required for developing breakthrough catalysts.

I169 changes were not required for virologic breakthrough or high level phenotypic resistance.

(Han et al. 2009) The linear form of Yoon and Nelson equation regarding a single-component system is expressed as { ln },left( {frac{{C_{t} }}{{C_{0} - C_{t} }}} right) =,K_{text{YN}} {text{t }} - tau,K_{text{YN}} (10 where KYN is the Yoon Nelson rate constant; τ is the time required for 50%% sorbate breakthrough and t is the breakthrough (sampling) time.

The linearised model for a single component system is expressed as: ln {kern 1pt} left( {frac{{C_{text{t}} }}{{C_{0} - C_{text{t}} }}} right) = K_{text{YN}} t - {mathbf{mathcal{T}}}K_{text{YN}} (2 where KYN is the rate constant (min−1);({ mathcal{T}}) is the time required for 50%% adsorbate breakthrough (min) and t is the breakthrough time (min).

T (min) is the time required for 50%% adsorbate breakthrough.