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Commitments and Contingencies - Additional Information (Detail)	9 Months Ended
	Mar. 31, 2021 USD ($)
Purchase Commitment, Excluding Long-term Commitment [Line Items]
Future aggregate milestone payments	$ 74,500,000
Percentage of Purchase Requirement	100.00%
S*Bio Purchase Agreement
Purchase Commitment, Excluding Long-term Commitment [Line Items]
Accrued payment for potential future payments	$ 0
CyDex License Agreement
Purchase Commitment, Excluding Long-term Commitment [Line Items]
Accrued payment for potential future payments	0
Presage License Agreement
Purchase Commitment, Excluding Long-term Commitment [Line Items]
Accrued payment for potential future payments	$ 0

X

- Definition

Accrued milestone payments.

+ References

No definition available.

+ Details

Name:	meip_AccruedMilestonePayments
Namespace Prefix:	meip_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Definition

Milestone payments, maximum amount.

+ References

No definition available.

+ Details

Name:	meip_MilestonePaymentsMaximumAmount
Namespace Prefix:	meip_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Definition

Percentage of purchases from major suppliers.

+ References

No definition available.

+ Details

Name:	meip_PercentageOfPurchasesFromMajorSuppliers
Namespace Prefix:	meip_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

No definition available.

+ Details

Name:	us-gaap_PurchaseCommitmentExcludingLongtermCommitmentLineItems
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Details

Name:	us-gaap_TypeOfArrangementAxis=meip_SbioPurchaseAgreementMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_TypeOfArrangementAxis=meip_CydexLicenseAgreementMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_TypeOfArrangementAxis=meip_PresageLicenseAgreementMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: