What are factors that cause the ventilation rate to increase and how this controlled by the brain.?

Brain stem mechanism. In the brainstem, 4th ventricular receptors sense levels of oxygen and carbon dioxide and via auto regulation, blood flow and respiratory rate are adjusted proportionately.

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What factors that cause the ventilation rate to increase and how this controlled by the brain.?

Ventilation. low 2, high CO2. Great wikipedia question as comp;lex question but if you want to chat i can help in more detail. Controlled by brain, lung, heart an carotid chemoreceptors plus many others in brain. Read more...