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Stock-Based Compensation (Details) (Stock options, USD $)
3 Months Ended 12 Months Ended
Mar. 31, 2015
Dec. 31, 2014
Stock options
   
Stock-Based Compensation    
Shares available for issuance 605,722us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ us-gaap_AwardTypeAxis
= cldx_EmployeeConsultantAndNonEmployeeDirectorStockOptionMember
 
Shares    
Options Outstanding at beginning of the period (in shares) 7,015,350us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_AwardTypeAxis
= cldx_EmployeeConsultantAndNonEmployeeDirectorStockOptionMember
 
Granted (in shares) 70,650us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross
/ us-gaap_AwardTypeAxis
= cldx_EmployeeConsultantAndNonEmployeeDirectorStockOptionMember
 
Exercised (in shares) (545,867)us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised
/ us-gaap_AwardTypeAxis
= cldx_EmployeeConsultantAndNonEmployeeDirectorStockOptionMember
 
Canceled (in shares) (1,213)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod
/ us-gaap_AwardTypeAxis
= cldx_EmployeeConsultantAndNonEmployeeDirectorStockOptionMember
 
Options Outstanding at the end of the period (in shares) 6,538,920us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_AwardTypeAxis
= cldx_EmployeeConsultantAndNonEmployeeDirectorStockOptionMember
7,015,350us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_AwardTypeAxis
= cldx_EmployeeConsultantAndNonEmployeeDirectorStockOptionMember
Options Vested and Expected to Vest at the end of the period (in shares) 6,506,078us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingNumber
/ us-gaap_AwardTypeAxis
= cldx_EmployeeConsultantAndNonEmployeeDirectorStockOptionMember
 
Options Exercisable at the end of the period (in shares) 3,752,500us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableNumber
/ us-gaap_AwardTypeAxis
= cldx_EmployeeConsultantAndNonEmployeeDirectorStockOptionMember
 
Shares Available for Grant under the 2008 Plan (in shares) 605,722us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ us-gaap_AwardTypeAxis
= cldx_EmployeeConsultantAndNonEmployeeDirectorStockOptionMember
 
Weighted Average Exercise Price Per Share    
Options Outstanding at beginning of the period (in dollars per share) $ 9.34us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= cldx_EmployeeConsultantAndNonEmployeeDirectorStockOptionMember
 
Granted (in dollars per share) $ 25.54us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= cldx_EmployeeConsultantAndNonEmployeeDirectorStockOptionMember
 
Exercised (in dollars per share) $ 5.35us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExercisesInPeriodWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= cldx_EmployeeConsultantAndNonEmployeeDirectorStockOptionMember
 
Canceled (in dollars per share) $ 13.11us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsForfeituresInPeriodWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= cldx_EmployeeConsultantAndNonEmployeeDirectorStockOptionMember
 
Options Outstanding at the end of the period (in dollars per share) $ 9.85us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= cldx_EmployeeConsultantAndNonEmployeeDirectorStockOptionMember
$ 9.34us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= cldx_EmployeeConsultantAndNonEmployeeDirectorStockOptionMember
Options Vested and Expected to Vest at the end of the period (in dollars per share) $ 9.82us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= cldx_EmployeeConsultantAndNonEmployeeDirectorStockOptionMember
 
Options Exercisable at the end of the period (in dollars per share) $ 7.43us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= cldx_EmployeeConsultantAndNonEmployeeDirectorStockOptionMember
 
Weighted Average Remaining Contractual Term    
Options Outstanding at beginning of the period 6 years 8 months 12 days 6 years 7 months 6 days
Options Outstanding at the end of the period 6 years 8 months 12 days 6 years 7 months 6 days
Options Vested and Expected to Vest at the end of the period 6 years 8 months 12 days  
Options Exercisable at the end of the period 5 years 3 months 18 days  
Additional information    
Weighted average grant-date fair value (in dollars per share) $ 15.94us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= cldx_EmployeeConsultantAndNonEmployeeDirectorStockOptionMember